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🎯 Who It’s For
Anyone who believes forgetting is no longer an issue.
NEVER FORGET.
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IN-V-BAT-AI is your solution to forgetting. No coding, no hosting required.
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Personal Augmented Intelligence (AI) Explanation
🧠 Augmented Intelligence vs Artificial Intelligence
Understanding the difference between collaboration and automation
| Feature | Augmented Intelligence | Artificial Intelligence |
|---|---|---|
| Core Purpose | Enhances human decision-making and capabilities | Automates tasks and mimics human cognition |
| Human Role | Central — humans remain in control | Often minimal — systems operate independently |
| Design Philosophy | Human-centric, collaborative | Machine-centric, autonomous |
| Examples |
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| Ethical Oversight | Preserves human judgment and ethics | Requires external governance |
| Explainability | Prioritizes transparency and traceability | Can be opaque or “black box” |
| Use Case Fit | High-stakes decisions needing human nuance | Repetitive, data-heavy tasks needing speed |
| Learning Approach | Few-shot learning and expert systems | Deep learning and large datasets |
🔍 Messaging Contrast
Augmented Intelligence is like a co-pilot: it amplifies your strengths, helps you recall, analyze, and decide — but never flies solo.
Artificial Intelligence is more like an autopilot: designed to take over the controls entirely, often without asking.
💡 Why It Matters for IN-V-BAT-AI
IN-V-BAT-AI is a textbook example of Augmented Intelligence. It empowers learners with one-click recall, traceable results, and emotionally resonant memory tools. Your “Never Forget” promise isn't about replacing human memory — it's about enhancing it.
Retrieve your stored knowledge with a single click using our Personal AI service. Just type or speak — and let natural language do the rest.
Our AI blends expert systems, few-shot learning, automation, and natural language processing to deliver one-click search and instant knowledge retrieval.
🧠 IN-V-BAT-AI vs. Traditional EdTech: Why "Never Forget" Changes Everything
📚 While most EdTech platforms focus on delivering content or automating classrooms, IN-V-BAT-AI solves a deeper problem: forgetting.
✨Unlike adaptive learning systems that personalize what you learn, IN-V-BAT-AI personalizes what you remember. With over 504 pieces of instantly retrievable knowledge, it's your cloud-based memory assistant—built for exam prep, lifelong learning, and stress-free recall.
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- 💸 $30/year for 504 personalized knowledge sites (just 6¢ each)
"🧠 Forget less. Learn more. Remember on demand."
That's the IN-V-BAT-AI promise.
How Our Personal AI Service Works
Few-Shot Training Data
IN-V-BAT-AI has developed a natural language — invariant retrieval system that delivers consistent one-click results for the same input — offering a breakthrough in AI explainability, traceability, and guaranteed zero hallucination.
The sketch above illustrates how the natural language — invariant retrieval system works: as the index database expands, the system consistently returns the same answer — 97 — for the same input, ensuring traceability, explainability, and eliminating hallucinations.
Let me show you how our invariant retrieval system works. The ground truth is always 97.
type or say 97
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504 pieces of useful knowledge
| Question 1 to 33 Difficulty 3rd Grade Level | Question 34 to 67 Difficulty 4th Grade Level |
| Question 68 to 100 Difficulty 5th Grade Level | Question 101 to 134 Difficulty 6th Grade Level |
| Question 135 to 168 Difficulty 7th Grade Level | Question 169 to 202 Difficulty 8th Grade Level |
| Question 203 to 304 Difficulty High School Level | Question 305 to 331 Difficulty Physics High School Level |
| Calculator 332 to 505 Useful Calculator |
IN-V-BAT-AI Never Forget |
Question 1
Question one
Which fraction belongs in the box to make the number sentence true ?
Go to input box Question 2
Question two
The table shows a relationship between the number of sets of dishes and the number of plates in the sets.
How many plates are in 1 set of dishes?
Go to input box Question 3
Question three
Kari had a page of stamps. She used some of the stamps from the center of the page. The picture below shows the stamps Kari has left. How much of the page of stamps did Kari use?
Go to input box Question 4
Question four
Gloria and her 3 friends will share a pizza equally. Which fraction shows the portion of the pizza each person will receive?
Go to input box Question 5
Question five
Look at the vertex-edge graph. How many different paths can be traveled from vertex A to vertex D by visiting a vertex only once?
Go to input box Question 6
Question six
Which fraction is closest to 0 o a number line ?
Go to input box Question 7
Question seven
Abby, Zach, and Beth had a jump rope contest. The chart below shows the length of time each child jumped rope. Based on this information, which statement is true?
Go to input box Question 8
Question eight
What is the sum of the numbers shown?
Go to input box Question 9
Question nine
The jar below has 21 beans in it. About how many beans will be in the jar when it is full?
Go to input box Question 10
Question ten
Which figure shows 4 x 2 ?
Go to input box Question 11
Question eleven
Amber had 13 pencils. She gave some of them away. Now she has 6 left. Which equation could show how many pencils Amber gave away?
Go to input box Question 12
Question twelve
Which fraction is between 3/4 and 1 on a number line ?
Go to input box Question 13
Question thirteen
Mario knows that a 1-quart jar holds 4 cups of lemonade. He will make 8 cups of lemonade. How many 1-quart jars will Mario need?
Go to input box Question 14
Question fourteen
Look at the puzzle. Which piece completes the puzzle?
Go to input box Question 15
Question fifteen
What number is missing from the sequence?
Go to input box Question 16
Question sixteen
Mike is saving his pennies. When he saves 695, he will buy some school supplies. Mike has 427. How many more does he need to reach his goal?
Go to input box Question 17
Question seventeen
The table shows the possible food choices for lunch. How many different lunches can be made that include 1 type of soup, 1 type of sandwich, and 1 type of salad?
Go to input box Question 18
Question eighteen
Look at the array. What is the perimeter of this array?
Go to input box Question 19
Question nineteen
Which figure has only one base and one vertex?
Go to input box Question 20
Question twenty
Mr. Jacob's class is going on a field trip. They need to split into groups of 4 students. If there are 24 students in Mr. Jacob's class, how many groups will there be?
Go to input box Question 21
Question twenty one
Sara used a rule to create the numbers in the input-output table. What rule did Sara use?
Go to input box Question 22
Question twenty two
Jackie's mom baked cookies. Jackie wants to share the cookies equally with five friends. What information is needed to determine how many cookies each person could get?
Go to input box Question 23
Question twenty three
Go to input box
Question 24
Question twenty four
The bar graph shows the results of a survey about pets from Mr. Hall's class. Based on the graph, how many more students have dogs than gerbils?
Go to input box Question 25
Question twenty five
The bar graph shows the results of a survey about pets from Mr. Hall's class. What is the most popular pet in Mr. Hall's class?
Go to input box Question 26
Question twenty six
Ms. Ryan asked her student in her class if they have any pets. Her results are shown below.
4 students have only cats
12 studetns have only dogs
5 students have a dog and a cat
8 students have fish
No students have pet gerbils
Based on the information from Ms. Ryan's class, which statement is most likely true?
Go to input box Question 27
Question twenty seven
What are the next 2 terms in the sequence?
Go to input box Question 28
Question twenty eight
What is the numeric form of the number written below?
one hundred four-thousand, one hundred three
Go to input box Question 29
Question twenty nine
The pool at the park is about 96 feet long. If Randy swims across the length of the pool 2 times, about how many feet will he swim?
Go to input box Question 30
Question thirty
Rusty helps his teacher pass out books 4 times a day. How many times does Rusty help his teacher in 5 days?
Go to input box Question 31
Question thirty one
Which number means the same as the one below?
70,000 + 3,000 + 200 + 40 + 7
Go to input box Question 32
Question thirty two
Morgan solved the problem below for her homework.
7 x 3 = 21
Go to input box Question 33
Question thirty three
Which object is a cylinder?
Go to input box Question 34
Question thirty four
Johnny used the rule "double the number" to create the pattern below.
3,6,12, 24, ...
Which pair of numbers is part of the pattern?
Go to input box Question 35
Question thirty five
Jay arranged 48 books into 4 equal piles to him find the quotient of 48 ➗ 4. How can Jay use this method to find the quotient of 189 ➗ 9 ?
Go to input box Question 36
Question thirty six
Martha is going to make bracelets to sell for a fundraiser. She bought 8 meters of yarn. She wants to cut it into pieces that are 16 centimeters long for each bracelet. How many bracelets can Martha make?
Go to input box Question 37
Question thirty seven
The table below shows the number of baseball cards Tika collected during four months. What is the best estimate for the number of baseball cards Tika collected in all?
Go to input box Question 38
Question thirty eight
Which number has the same value as 0.14?
Go to input box Question 39
Question thirty nine
Look at the calendar below. What best describes the dates that are on Saturdays?
Go to input box Question 40
Question forty
Stacey used cutouts of two triangles to make the figures below. Which statement is true about the figures?
Go to input box Question 41
Question forty one
Randy creates a pattern using the rule "divide by 3". Which pattern uses Randy's rule?
Go to input box Question 42
Question forty two
Mary used some of the eggs from the carton below to make breakfast. What portion of the eggs did Mary use to make breakfast?
Go to input box Question 43
Question forty three
Look at the map below. Which vertex-edge graph represents this map?
Go to input box Question 44
Question forty four
Juan wants to solve the problem 27 - 21 ÷ 3 . Which step should Juan do first?
Go to input box Question 45
Question forty five
John has 10 pairs of white socks and 1 pair of blue socks in his drawer. There are no other socks in the drawer. Without looking, he takes 1 pair out of the drawer. What are his chances of choosing a white pair of socks?
Go to input box Question 46
Question forty six
Nicki's class needs to raise $89.45 in order to have a pizza party. So far, she has collected $62.90. How much more money does Nicki's class need to buy the pizza party?
Go to input box Question 47
Question forty seven
Look at the number pattern. 972, 324, 108, 36, ... If the pattern continues, what will be the 6th number in the pattern?
Go to input box Question 48
Question forty eight
Mike left school at 3:40 pm. He arrived at home at the time shown on the clock below. How long did it take Mike to get home from school?
Go to input box Question 49
Question forty nine
What is the solution to the equation ( 3/5 ) - (2/5) = ?
Go to input box Question 50
Question fifty
On Monday, Joel had 17 treats to give his puppy. He gives his puppy 2 or 3 treats each day. The table below shows the number of treats Joel has left at the end of each day. Based on the information in the table, which prediction will most likely to happen if Joel continues to give his puppy 2 or 3 treats each day?
Go to input box Question 51
Question fifty one
Jim has $7.00 that he uses to purchase school lunch. He spends the same amount of money each day. Which expression can be used to show how much Jim can spend on lunch each day?
Go to input box Question 52
Question fifty two
Look at the diagram of Laura's yard. Which expression can Laura use to find the perimeter of her yard?
Go to input box Question 53
Question fifty three
Look at the coordinate plane. Which point is located at (3,5)?
Go to input box Question 54
Question fifty four
Anna asked her class which subject they liked best. She graphed the results. Click to see the graph. Based on the graph, which statement is true?
Go to input box Question 55
Question fifty five
The rule for finding the cost of any number of tickets (t) is multiply t by $4. How many tickets will $20 buy?
Go to input box Question 56
Question fifty six
Which list shows all factors of 72?
Go to input box Question 57
Question fifty seven
Look at the figure. Which fraction represents the shaded part of the figure?
Go to input box Question 58
Question fifty eight
Lizeth is having a birthday party. She invited 19 people. She will buy enough juice boxes so each person can have at least 1. If the juice boxes come in packs of 6, how many packs should Lizeth buy?
Go to input box Question 59
Question fifty nine
Which expression will not solve 59 x 20 ?
Go to input box Question 60
Question sixty
Marcus bought a pet frog. He went to a pet store to buy some supplies for the frog's home. He found a list of frog rules in the pet store. Small sized frogs need to live in a 10 gallon tank. All frogs need warm light or sunshine. All frogs need water to keep their skin moist. Frogs eat 5 bugs and worms per day. What information should the pet store owner ask Marcus before he sells him the supplies?
Go to input box Question 61
Question sixty one
Which pair of figures appears to be congruent?
Go to input box Question 62
Question sixty two
Dylan had a whole cupcake in his lunch bag. He ate only 1/4 of his cupcake. How much of the cupcake does he have left?
Go to input box Question 63
Question sixty three
What are the coordinates of the endpoints of the line segment?
Go to input box Question 64
Question sixty four
Which list is in order from greatest to least?
Go to input box Question 65
Question sixty five
Sandy solved the problem below in her math class. What is another way that Sandy could solve the problem? Click to see Sandy's solution
Go to input box Question 66
Question sixty six
Look at the data set. 51, 35, 28, 49, 28, 46, 29. What is the median of the data set?
Go to input box Question 67
Question sixty seven
What is the solution to the equation 3 x 10 + (9 x 2) = ?
Go to input box Question 68
Question sixty eight
Logan Academy students take part in four field trips during the school year. They visit a library, a museum, a park, and a zoo. How many different ways can the four trips be ordered for the school year?
Go to input box Question 69
Question sixty nine
A number cube is labeled with the digits 1 through 6. The cube is tossed once. What is the probability that the cube will land on either a 4 or a 6?
Go to input box Question 70
Question seventy
A dolphin was swimming at 20 feet below sea level. Then it dove to 45 feet below its original position. Which integer represents the depth of the dolphin's dive?
Go to input box Question 71
Question seventy one
Which of the following would be best displayed on a double-line graph?
Go to input box Question 72
Question seventy two
What is the coordinate of point A? Click to see the number line
Go to input box Question 73
Question seventy three
Grace measures a bean plant at the end of every week. At the end of week 1, the plant is 4 inches tall. It grows 1/2 inch each week for 5 more weeks. How tall is Grace's bean plant at the end of week 5?
Go to input box Question 74
Question seventy four
Ms. Cook's class bought 2 bags of concrete and some bricks to build a border for their class garden. The bricks cost $51. The total cost of the bricks and the concrete was $57. Which equations can be used to find the cost, b, of 1 bag of concrete?
Go to input box Question 75
Question seventy five
Look at the vertex-edge graph. Which statement about the graph is true?
Go to input box Question 76
Question seventy six
Students agree that the following equations using integers are true. Which statement about adding integers is not true?
Go to input box Question 77
Question seventy seven
Look at the graph. Which situation is best reprsented by the graph?
Go to input box Question 78
Question seventy eight
Sheri asks 83 students at school to choose the sports that they most enjoy watching. The students can choose from baseball, basketball, football, and soccer. The results are shown in the table. Which statement is a reasonable conclusion to make from the information in the table?
Go to input box Question 79
Question seventy nine
Scott ran in a two-day race. The first day he ran 5 3/4 miles. The next day he ran 6 5/8 miles. How many total miles did Scott run?
Go to input box Question 80
Question eighty
What is the solution to the equation 72,658 ÷ 313 = ?
Go to input box Question 81
Question eighty one
To place 0.67, 3/4, and 34% in order from least to greatest. John changes 3/4 to 0.75 and 34% to 0.34. Then he uses the three decimals to correctly place the original numbers in order from least to greatest: 34% , 0.67, 3/4. Which problem is best solved by using this same strategy?
Go to input box Question 82
Question eighty two
What is the area of the shaded figure?
Augmented Reality to show the concept of Area, Perimeter, and Volume using Geogebra 3D AR
Go to input box Question 83
Question eighty three
The diagram below shows the length and width of the wall that Tara is going to cover with wallpaper. What is the least amount of wall paper Tara will need to cover the entire area of the wall?
Go to input box Question 84
Question eighty four
Samantha and Pedro each have 2 fair number cubes. The faces of each cube are numbered 1 through 6. They each rolled their 2 number cubes 50 times and recorded the sum of the numbers rolled. Based on the data in the tables, which statement is not true?
Go to input box Question 85
Question eighty five
A diagram of Ryan's yard is shown. Which expression can Ryan use to find the total area of his yard?
Go to input box Question 86
Question eighty six
What is the solution to the equation 5 + 9 x 21 = ?
Go to input box Question 87
Question eighty seven
Which list shows all of the prime numbers between 0 and 22?
Go to input box Question 88
Question eighty eight
Which number is closest to the answer to the problem 39 x 62 ?
Go to input box Question 89
Question eighty nine
What is the next term in the pattern 1.25, 1.95, 2.65, 3.35, ...
Go to input box Question 90
Question ninety
Which value for x makes the number sentence true 3x + 10 = 19 ?
Go to input box Question 91
Question ninety one
Look at the number pattern. 1/4, 1 1/2, 2 3/4, 4, ... What rule is used to get the next term?
Go to input box Question 92
Question ninety two
Two angles of a triangle add up to 65°. What is the measure of the third angle?
Go to input box Question 93
Question ninety three
What is 3/5 written as a percent?
Go to input box Question 94
Question ninety four
Erika is baking cupcakes. The recipe calls for 1 1/4 cups of sugar for the batter, and 1 2/3 for the frosting. About how many total cups of sugar will Erika need for her recipe?
Go to input box Question 95
Question ninety five
What is the mean of the numbers listed 31, 42, 46, 47, 51, 51, 68 ?
Go to input box Question 96
Question ninety six
Roberto began his homework at 4:25 p.m. He finished it one and a half hours later. At what time did Roberto finish his homework?
Go to input box Question 97
Question ninety seven
Which figure has only one pair of parallel sides? Click to see the figures
Go to input box Question 98
Question ninety eight
What is the solution to the expression 3 - 4(1/2) + 7 ?
Go to input box Question 99
Question ninety nine
Sand Dollar Elementary is planning a school field trip for its fourth and fifth grade students. The location that the students visit will depend on their names. The chart below shows the options for the field trip locations. Based on the information in the chart, which statement is not true?
Go to input box Question 100
Question one hundred
What is the solution to the equation 7400.05 - 526.175 = ?
Go to input box Question 101
Question one hundred one
What represents a 2/3 ratio?
Go to input box Question 102
Question one hundred two
The cube shown has a volume of 125 cm3. What is the area of the base of the cube?
Go to input box Question 103
Question one hundred three
There are 3 classes of 22 students making ice cream sundaes. A sundae can be made using one of 3 syrups and one of 3 candy toppings. Each student makes one sundae. Which expression can be used to find the total number of sundaes made by the students.
Go to input box Question 104
Question one hundred four
What is the absolute value of the coordinate of the point shown on the number line ?
Go to input box Question 105
Question one hundred five
What is the value of the expression 2 + 7(3.8 - 1.4) = ?
Go to input box Question 106
Question one hundred six
What is equal to 3√27 ?
.
Go to input box Question 107
Question one hundred seven
Each stem-and-leaf plot shows the number of points scored by a team in basketball tournament. How many total scores are represented by all stem-and-leaf plots?
Go to input box Question 108
Question one hundred eight
Each stem-and-leaf plot shows the number of points scored by a team in basketball tournament. What is the greatest number of points scored by any team in one game?
Go to input box Question 109
Question one hundred nine
What are the possible outcomes (sample space) of the spinner?
Go to input box Question 110
Question one hundred ten
Look at the sequence. 15, 3, 0.6, 0.12, ... What is the next number in the sequence?
Go to input box Question 111
Question one hundred eleven
Look at the equation
2 n + 1.4 = 8.6 Which inverse operations will solve the equation?
Go to input box Question 112
Question one hundred twelve
Look at the expression.
6 n + 3 What is the value of the expression when n = 2/3 ?
Go to input box Question 113
Question one hundred thirteen
What is the total area of the figure?
Go to input box Question 114
Question one hundred fourteen
What is the value of the expression 6 / 7 ÷ 3 / 4 = ?
Go to input box Question 115
Question one hundred fifteen
Look at points J and K on the number line. Which expression represents the distance between points J and K on the number line ?
Go to input box Question 116
Question one hundred sixteen
Kara plans to carpet the entire floor in each of the two rooms shown below. What is the best estimate of the total amount of carpet, in square feet, needed to completely cover both floors?
Go to input box Question 117
Question one hundred seventeen
What is the measure, in degrees, of the angle that is complementary to ∠ RVS?
Go to input box Question 118
Question one hundred eighteen
Which diagram represents the prime factorization of 36?
Go to input box Question 119
Question one hundred nineteen
What are the coordinates of the missing vertex of the parallelogram below?
Go to input box Question 120
Question one hundred twenty
Vincent's baseball coach suggested that he dirnk one-half gallon of water daily. If Vincent drinks one-half gallon of water, how many 8-ounce glasses will he drink?
Go to input box Question 121
Question one hundred twenty one
On the grid below, points Q, R, and S represent three vertices of a rectangle. What are the coordinates of point T, the vertex that will complete rectangle QRST?
Go to input box Question 122
Question one hundred twenty two
Which expression is the same as 11%?
Go to input box Question 123
Question one hundred twenty three
Rafael performed an experiment by spinning the arrow on a spinner 200 times. His results are recorded in the table below.
Which is closest to the number of times he should expect the arrow to land on red section?
Go to input box Question 124
Question one hundred twenty four
Randy has $7.50 to use on buying notebooks for school. If each notebook costs $1.09 including tax, how many can Randy buy?
Go to input box Question 125
Question one hundred twenty five
The scatter plot shows the relationship between the amount of time Casey was at the mall and the amount of money she spent there. Which statement best describes the relationship between the amount of money Casey spent and the amount of time she was at the mall?
Go to input box Question 126
Question one hundred twenty six
Which expression matches the model shown?
Go to input box Question 127
Question one hundred twenty seven
Lauren wants to put a brick border around her garden. A drawing of her garden is represented by the shaded section on the grid below. What is closest to the number of meters of brick border Lauren will need to put around her garden?
Go to input box Question 128
Question one hundred twenty eight
Look at the table of values. Which equation represents the relationship between x and y?
Go to input box Question 129
Question one hundred twenty nine
Valerie has 35 students in her art class. She asked each student what types of activities they like to do and made a Venn diagram of the results. How many students in Valerie's class told her that they only like to draw and sculpt?
Go to input box Question 130
Question one hundred thirty
Jim and Don are playing darts. Jim has scored 16, 12, and 2 points. Don's turn is after Jim's. Don has scored 12, 10, and 2 points. They have taken the same number of turns. Who is ahead at this time? Which statement does Kelly need for solving the problem?
Go to input box Question 131
Question one hundred thirty one
Look at the graph. If the water continues to drip at the same rate, how many milliliters of water will have dripped at 14 hours?
Go to input box Question 132
Question one hundred thirty two
Which statements explains how to find the area of the figure below?
Go to input box Question 133
Question one hundred thirty three
Which graph shows a reflection of the rectangle across the horizontal dotted line?
Go to input box Question 134
Question one hundred thirty four
Scott delivers the 6th grade newsletter to five rooms at his school. He must find the quickest route. The vertex-edge graph shows the rooms that Scott must deliver to and the time, in seconds, it takes him to get from room to room. If Scott begins and ends at his Homeroom, what is the quickest route for him to take and to make sure he visits each room only once?
Go to input box Question 135
Question one hundred thirty five
A microwave oven is on sale for 20% off the regular price. The sale price is $250. What is the regular price of the microwave oven?
Go to input box Question 136
Question one hundred thirty six
If two parallel lines are cut by a non-perpendicular transversal, which type of angles are not congruent?
Go to input box Question 137
Question one hundred thirty seven
The circumference of a circle measures 12.56 inches. What is the measure of the radius of the circle?
Go to input box Question 138
Question one hundred thirty eight
The number of students (class size) in each of 7 classes is shown as 15, 25, 25, 29, 31, 32, 37 Which class size affects the range of all 7 classes the most?
Go to input box Question 139
Question one hundred thirty nine
Becky created the line graph below to show the distance she traveled during one day. Which activity could be represented by the circled portion of the line?
Go to input box Question 140
Question one hundred forty
For which of the following would the use of a table of values not be helpful?
Go to input box Question 141
Question one hundred forty one
The Venn diagram below shows the number of students in a class who have visited the Grand Canyon, Carlsbad Caverns, or both. There are 34 students in the class, and all of the students have visited at least one of the locations. What is the number of students, x, who have only visited the Grand Canyon?
Go to input box Question 142
Question one hundred forty two
What is the value of the expression (1/2)y - x ?
Go to input box Question 143
Question one hundred forty three
The graph below shows the increase in average gasoline prices from Jan. through May. If the gasoline prices continue to increase at the same rate, what will be the average gasoline price in July of that same year?
Go to input box Question 144
Question one hundred forty four
Max, Owen, Elise, and Cara went to a school carnival. They each played the dart throw, ring toss, water shoot, and basketball throw. Each student won a different game. Clues: Max didn't score any points at the dart throw. Elise correctly tossed 2 rings, but did not win the ring toss. Cara won a bear for outscoring everyone at the water shoot. Owen score more than anyone at the basketball throw. Based on the clues, which game did Max win?
Go to input box Question 145
Question one hundred forty five
Which expression has a value of -3?
Go to input box Question 146
Question one hundred forty six
Between which two consecutive integers is the value of this irrational number?
Go to input box Question 147
Question one hundred forty seven
Using the results in the tables, what is the probability of a spinner landing on the letter P in both experiments?
Go to input box Question 148
Question one hundred forty eight
The radius of a circular fish pond is 4 feet. What is the circumference of the pond in terms of π?
Go to input box Question 149
Question one hundred forty nine
On a winter Monday in Prescott, the temperature at 8 a.m. was -8°F. At 1 p.n. it was 27°F. By how many degrees did the temperature change from morning to afternoon?
Go to input box Question 150
Question one hundred fifty
Dave's neighbors are going on a trip to Japan. He wants them to bring him a souvenir t-shirt, but Japan has its own unit of currency. Conversion 1 US dollar = about 94.73 Japanese yen. Dave gives his neighbors $20.00. About how many Japanese yen will Dave's neighbors be able to spend on his t-shirt?
Go to input box Question 151
Question one hundred fifty one
Karen wants to visit all of the points of interest near her home. She will leave from her home and then visit each place on her vertex-edge graph only once. What is the shortest distance that Karen will travel to each site and then return home?
Go to input box Question 152
Question one hundred fifty two
Ken will conduct a probability experiment by removing a cube from a bag of colored cubes that are all the same size and shape. Ken will use the following procedure. Without looking, remove a cube. Record its color. Put it back in the bag. Repeat the experiment. The probability of drawing a green cube is 1/2. What is the probability that the first 3 cubes that Ken removes will be green?
Go to input box Question 153
Question one hundred fifty three
Alfredo bought 3 new notebooks for school. He paid $2.49 for all the notebooks. Which equation can be used to find n, the cost of each notebook?
Go to input box Question 154
Question one hundred fifty four
The table shows a sequence of numbers. What is the rule for the sequence?
Go to input box Question 155
Question one hundred fifty five
Look at the figure. Which statement can be used to find the total area of the figure?
Go to input box Question 156
Question one hundred fifty six
Which polygon has the same perimeter as the one below?
Go to input box Question 157
Question one hundred fifty seven
Which two points on circle Q form an arc?
Go to input box Question 158
Question one hundred fifty eight
What is the value of the expression?
Go to input box Question 159
Question one hundred fifty nine
What is the solution to the equation?
Go to input box Question 160
Question one hundred sixty
What is 7.29 x 105 written in standard form?
Go to input box Question 161
Question one hundred sixty one
Which pair of events is dependent?
Go to input box Question 162
Question one hundred sixty two
Which figure is a right prism with a hexagonal base?
Go to input box Question 163
Question one hundred sixty three
Ramon wants to graph his science test scores each week. He will use the graph to determine a trend for his scores based on the days of the week he takes the test. What is the best type of graphic display he should use for this?
Go to input box Question 164
Question one hundred sixty four
Which figure shows the triangle below reflected over the x-axis, then reflected over the y-axis?
Go to input box Question 165
Question one hundred sixty five
Which table of values can be used to graph the equation below?
Go to input box Question 166
Question one hundred sixty six
Jose is having a party and will invite all of his friends. He will supply the following items for each person. 3 slices of pizza, 2 bottles of sports drink, and 1 piece of cake. What information is needed to make sure that Jose has pizza, sports drink, and cake for each person?
Go to input box Question 167
Question one hundred sixty seven
What is the solution to the equation ?
Go to input box Question 168
Question one hundred sixty eight
What situation could the graph best represent?
Go to input box Question 169
Question one hundred sixty nine
There are 6 books on a reading list.Students must read 3 of the books on the list. In how many different ways can a student select 3 books?
Go to input box Question 170
Question one hundred seventy
Cece scored a 78 on her first math test. She scored an 84 on her second test. What is the percent increase, rounded to the nearest tenth, from Cece's first score to her second score?
Go to input box Question 171
Question one hundred seventy one
How many square feet are there in 288 square inches?
Go to input box Question 172
Question one hundred seventy two
Gary has 10 coins in his pocket 2 quarters, 5 dimes, and 3 nickels. Without looking, Gary pulls one coin from his pocket and put it on a table. Then, he pulls one more coin from his pocket. What is the probability that the first coin is a dime and the second coin is a nickel?
Go to input box Question 173
Question one hundred seventy three
A tower is 160 feet tall and cast a shadow 34 feet long. A person standing next to the tower casts a shadow 1.5 feet long. Which equation will find the height of the person, x?
Go to input box Question 174
Question one hundred seventy four
Melissa earned a score of 75% on her first test. She wants to earn an 85% on her second test. What is the percent increase, rounded to the nearest whole number, from 75% to 85%?
Go to input box Question 175
Question one hundred seventy five
Which shape will create a tesallation using only translations?
Go to input box Question 176
Question one hundred seventy six
A box contains 4 red pencils, 3 blue pencils, and 3 yellow pencils. What is the probability that a student randomly selects a blue pencil, keep it, and then a second student randomly selects a yellow pencil?
Go to input box Question 177
Question one hundred seventy seven
Which statement is true?
Go to input box Question 178
Question one hundred seventy eight
Look at line segment MN on the coordinate plane. What is the distance between the endpoints of line segment MN?
Go to input box Question 179
Question one hundred seventy nine
Emily, Zeke, Harry, and Brook each conducted surveys on the number of books people in their homes. Then they each answered the question below. "Must all measures of central tendency appear as a number in the set of data collected?" Which student's statement is true?
Go to input box Question 180
Question one hundred eighty
The stem-and-leaf plot represents test scores from two science classes. Which statement about the data is true?
Go to input box Question 181
Question one hundred eighty one
Students submitted pictures for the school yearbook. Only 4/5 of the submitted pictures fit in the yearbook. There were 105 pictures that did not fit. Approximately how many total pictures were submitted for the yearbook?
Go to input box Question 182
Question one hundred eighty two
Look at the number line . Which value does P best represent?
Go to input box Question 183
Question one hundred eighty three
Three linear equations are shown below. Which statement about the three linear equations is incorrect?
Go to input box Question 184
Question one hundred eighty four
A go-cart has a maximum weight limit of 240 pounds. Which inequality correctly represents this weight limit, W?
Go to input box Question 185
Question one hundred eighty five
Joe is creating a number pattern. He begins the pattern with the number 3. Each number after 3 is twice the number before it, plus 1. Which pattern fits Joe's rule?
Go to input box Question 186
Question one hundred eighty six
Which number is irrational?
Go to input box Question 187
What is the value of the expression?
Go to input box Question 188
Santos has a job after school. He earns $8 per hour. Which equation will determine h, the number of hours he needs to work to earn $44?
Go to input box Question 189
Look at the figure. Based on the figure, which equation is not true?
Go to input box Question 190
The shaded piece has been transformed into a frieze pattern. Which transformations best describe how the pattern was created?
Go to input box Question 191
What is the value of the expression?
Go to input box Question 192
In circle P, which of the following create a secant?
Go to input box Question 193
A right cylinder has a height of 5 inches and a radius of 7 inches. What is its volume in terms of π
Go to input box Question 194
The student council is making gift bags for a fund raiser. They have 105 bags, 150 pens, 115 notebooks, 330 pencils, and 190 highlighters. If each gift bag consists of one bag, 2 pens, 1 notebook, 3 pencils, and 2 highlighters, what is the greatest number of gift bags that can be made?
Go to input box Question 195
What is the value of the expression?
Go to input box Question 196
John is comparing his quiz scores from two weeks in math class. Which summary statistics is the same for both weeks?
Go to input box Question 197
The directed graph shows the results of a chess tournament among 4 players. Edgar won his match against Frankie. Who won the least number of games?
Go to input box Question 198
What equation is the rule for the function illustrated by the table of values?
Go to input box Question 199
What is the value of the expression?
Go to input box Question 200
Which situation is best represented by the graph?
Go to input box Question 201
Joe needs to find the midpoint of a line segment on a coordinate plane. Given the coordinates of the endpoints, what is the best way for him to find the midpoint of the line segment?
Go to input box Question 202
Martin is buying a fish tank. For the tank, he wants 10 clownfish, a few plants, and some stones for the bottom. He wants to make sure that the tank is large enough for the fish to swim comfortably. What does he need to ask the salesman in order to make sure he buys a large enough tank?
Go to input box Question 203
Sandra wrote the sequence below. Which equation represents the rule for finding the nth term of this sequence?
Go to input box Question 204
A team has twelve 15-year-old players and eight 16-year-old players. The coach of the team is 43 years old. Which measure of central tendency best represents the ages of the team, including the coach and why?
Go to input box Question 205
Which does not represent y as a function of x?
Go to input box Question 206
Jessica deposits $300 into a savings account that pays an annual interest rate of 2% compounded twice a year. How much money will Jessica have in her account at the end of one year?
Go to input box Question 207
A telephone company wants to create as many 7-digits phone number as possible without changing the first 3 digits. How many phnoe numbers can be created?
Go to input box Question 208
How much greater is the volume of a cube when the length of each edge is multiplied by 3?
Go to input box Question 209
The data below represents the scores for a soccer team in seven games. Which measure of central tendency best represents the overall performance of the soccer team, and why?
Go to input box Question 210
Look at the recursive formula. What are the first 4 terms of this sequence?
Go to input box Question 211
Which point on the number line shows the best estimate of the irrational number below?
Go to input box Question 212
What is the value of x?
Go to input box Question 213
Figure EFGH has a perimeter of 40 cm and an area of 96 cm2. It is dilated by a factor of 1/4 to create figure E'F'G'H'. What statement about the perimeter (p) and the area (A) of figure E'F'G'H' is true?
Go to input box Question 214
The area of a larger square is 16 times the area of a smaller square. How many time as long is the base of the larger square than the base of the smaller square?
Go to input box Question 215
What is the distance between -4 and 3 ?
Go to input box Question 216
Six differently colored balls (red, blue, green, orange, purple, and white) are placed in a basket. Without looking, three balls are removed. What is the total number of combinations that include a red ball?
Go to input box Question 217
Which pair of events is dependent?
Go to input box Question 218
Which statement has a false inverse?
Go to input box Question 219
Joe has the following information about a trapezoid. Which equation can Joe write to find the unknown base length, b2 for the trapezoid?
Go to input box Question 220
The coordinates (2,2) and (-3,1) are two of the vertices of the figure on the coordinate plane.
What are the coordinates of the midpoint of the two vertices?
Go to input box Question 221
Debbie and Jamal each performed an experiment in which they spun a fair spinner 12 times. They recorded their results. What outcome has a probability of 0?
Go to input box Question 222
Look at the 3-dimensional figure. What is the total surface area of the figure?
Go to input box Question 223
Look at the triangle. What is not a possible value of x ?
Go to input box Question 224
Chords line segment NP and line segment MQ intersect at point S in circle R. If line segment MS = 3, NS = 2, and SQ = 8, what is the length of line segment SP?
Go to input box Question 225
Look at circle M. What is the value of x ?
Go to input box Question 226
Which table represents y as a function of x ?
Go to input box Question 227
What is the graph of the equation y = x2 - 4x + 4
Go to input box Question 228
What are the values of x in the equation shown?
Go to input box Question 229
The table shows a sequence of figures, the number of squares in each figure, and the perimenter of each figure. Based on the pattern shown, which conjecture is valid?
Go to input box Question 230
Triangle PQR is shown. What are the coordinates of P' when △ PQR is dilated by a scale factor of 3 using the origin as the center?
Go to input box Question 231
What is the value of the expression?
Go to input box Question 232
What is the solution to the equation shown?
Go to input box Question 233
What is the complete factorization of the polynomial shown?
Go to input box Question 234
Look at the following equations. 8p = 12-2q and q + 4p = 6. Which statement is true about the lines graphed from the equations?
Go to input box Question 235
Points N,P,R, and Q lie on circle O. In circle O, what is the measurement of angle PMN written mathematically as m∠PMN?
Go to input box Question 236
In the diagram below, line segment RT intersects line segment QU at point S. Which postulate should be used to
prove that
triangle ∆ RQS is congruent (approximately equal to) written mathematically ≅ triangle ∆ TUS?
Go to input box Question 237
Assume the statement shown below is true."if P, then Q." based on this assumption, which of the following must be true?
Go to input box Question 238
Look at the expression. -2a[-2a(-2a+4b) + 3b(-a-6)]. Which of the following correctly simplifies the expression?
Go to input box Question 239
The statements below are out of order.
Statement W: If blitz, then kerd.
Statement X: If mot, then det.
Statement Y: If kerd, then mot.
Statement Z: If toc, then blitz.
Which list shows the if...then statements in logical order?
Go to input box Question 240
Janelle's cell phone company charges a monthly fixed rate for the first 1,000 minutes, and then charges for each additional minute. Which graph best represents Janelle's monthly cell phone plan?
Go to input box Question 241
What are the y-intercept and the slope of the graph of the following equation?
- 2x + 4y = 8
Go to input box Question 242
Which of the following best represents the graph of the inequality y < ½ x + 3 ?
Go to input box Question 243
Which pair of figures is structurally similar?
Go to input box Question 244
Points (-1,8) and (3,5) lie on a coordinate plane. What is the distance between the two points?
Go to input box Question 245
What is the distance between points M(3,1) and N(-2,4) on the graph below?
Go to input box Question 246
Which set of numbers represent an infinite set?
Go to input box Question 247
Earth's mean temperature is 59°F, and it is 9.3 x107 miles from the sun. Mar's mean temperature is -85° F, and it is 141.6 x 106
miles from the sun. Which matrix represents these data?
Go to input box Question 248
Which statement has a true converse?
Go to input box Question 249
Trapezoid JKLM is shown below. What is the length of KM?
Go to input box Question 250
Study ∆ RST on the grid below. When ∆ RST is translated 4 units down, what are the apparent coordinates of T'.
Go to input box Question 251
The coach wants to introduce each of the starting players at Tuesday's game in how many different order can each of the the 5 starting players be introduced?
Go to input box Question 252
Which equation represents the data in the table?
Go to input box Question 253
Which expression is the nth term of the quadratic sequence shown in the table below?
Go to input box Question 254
A committee consisting of 5 teachers will be chosen from a staff of 25 teachers. To find the number of different possible 5-teacher committees, which should be used?
Go to input box Question 255
Bob created a number pattern beginning with 3. He created the next term by doubling the previous term and subtracting 1. The first 5 terms of the number pattern are shown below.
3, 5, 9, 17, 33, . . .
What is the 7th term in Bob's number pattern?
Go to input box Question 256
What is the value of the expression below
a2 + |ab| when a = -4 and b = 3 ?
Go to input box Question 257
Which could be the graph of the equation below?
y = 1/3 x - 2
Go to input box Question 258
Student council members plan to sell shaved-ice cones to raise funds. They will spend $200.00 for supplies and whill charge $1.00 for each shaved-ice cone. Which graph
represents P, their profit, as a function of n, the number of cones sold?
Go to input box Question 259
A polygon has been rotated about the origin. Which statement must be true?
Go to input box Question 260
Study the triangle below. What is the cosine of ∠X?
Go to input box Question 261
Which is the graph of y = x2 + 2 ?
Go to input box Question 262
Which is the apparent graph of y = 2/3 x - 4 ?
Go to input box Question 263
The formula for the lateral area of a pyramid is A = 1/2 pl. What is p in terms of A and l ?
Go to input box Question 264
The rule for a particular number pattern is to multiply the immediately preceding term by 2 then add 1. The first four terms of this number pattern are given below.
-2, -3, -5, -9, . . .
What is the 6th term of the number pattern?
Go to input box Question 265
What is the apparent solution to the system of equations graphed below?
Go to input box Question 266
Three transformation will be performed on triangle ∆ ABC. Which set of transformation
Go to input box Question 267
The stem-and-leaf plot below shows test scores for 25 students. Which box-and-whisker plot correctly displays the data in the stem-and-leaf plot?
Go to input box Question 268
Study the proportion below.
|
-2 x - 7 |
= |
5 x + 21 |
What value of x makes the proportion true?
Go to input box Question 269
A teacher must select 2 students from a list of 4 students. How many distinct groups of 2 students are possible?
Go to input box Question 270
Study the quadratic equation below.
2x2 + 3x - 20 = 0
Which of the following shows two solutions to the equation?
Go to input box Question 271
Which of the following does not show a close approximation?
Go to input box Question 272
Jan proved that the two triangles below are congruent. Which postulate did Jan use for her proof?
Go to input box Question 273
The table below shows information about the members of a concert choir at a high school. Which of the following graphs best describes the
choir's membership data?
Go to input box Question 274
What is the value of x in the figure below?
Go to input box Question 275
The number cube shown is numbered 1 through 6 on its faces. When the cube is tossed once, what is the probability a number divisible by three will be on the top face?
Go to input box Question 276
Let n be any even integer. Which of the following is always true about (n + 5) ?
Go to input box Question 277
Points A, B, and C lie on circle M, as shown below. What is the measure of ∠ BMC if the measure of arc BAC is 320° ?
Go to input box Question 278
∆ XYZ is translated 3 units to the right and 2 units down. What will be the
apparent coordinates of the image of point X?
Go to input box Question 279
Which of the following are inverse operation?
Go to input box Question 280
The diagram below shows a building, a nearby flagpole, and their shadows. Based on the information in the diagram, what is x, the length of the shadow of the building?
Go to input box Question 281
In the pattern below, each term is found by doubling immediately the preceding term and adding 1
3, 7, 15, 31, 63, . . .
What is the 7th term in the pattern?
Go to input box Question 282
Based on the diagram below, which of these arguments is valid?
Go to input box Question 283
Which statement is true?
Go to input box Question 284
Which expression below has been simplified using the correct procedure?
Go to input box Question 285
Which procedure correctly simplifies the expression below?
Go to input box Question 286
Which of the graphs below contains a line of best fit that best represents the data?
Go to input box Question 287
The table below shows the percentage of the most popular colors of sports cars made during 2002.
Which component causes the data to seem distorted?
Go to input box Question 288
Sam began a pattern with 4 and 7. He added them to get 11, the third term. To get each term after the third, he added the two preceding terms.
4, 7, 11, 18, 29, . . .
What is the 9th term in this sequence?
Go to input box Question 289
The set of real numbers shown below is a subset of which of the following?
Go to input box Question 290
Triangle ∆ ABC is show below. What is the cosine of angle B?
Go to input box Question 291
A 4th degree polynomial expression has the form shown below. In the expression
5x4 - 7x3 - 3x2 + 8x - 4, what is the value of a3?
Go to input box Question 292
The formula for the surface area of a cube is A = 6s2.
What is the formula for s in terms of A?
Go to input box Question 293
The graph below shows the percent of the moon's face illuminated for the month of April. On What day in April did the moon reach its maximum illumination?
Go to input box Question 294
Which is a correct procedure for solving the linear inequality below?
2y + 8 > 4 - 6y
Go to input box Question 295
Which of the following function of x has the apparent range of { y: y ≥ 0} ?
Go to input box Question 296
The Palmdale High School varsity basketball team's total points per game for this year's season is shown below.
Which stem-and-leaf plot could be used to correctly display the data?
Go to input box Question 297
If b ≠ 0, which equation is equivalent to the one shown below?
ax + by = c
Go to input box Question 298
If the sum of the measures of two angles is 90°, then the angles are complementary. In the triangle ABC, m∠A = 25°, m∠B = 65° , m∠C = 90°
Which valid conclusion follows directly from the previous statements?
Go to input box Question 299
What is the solution to the inequality below?
-3x-1 ≤ 5
Go to input box Question 300
The first two terms in a sequence are shown below. Each term after the first is found by rotating the arrow 45° clockwise. What will be the 7th term in the sequence?
Go to input box Question 301
In a cafeteria survey, 300 students chose one favorite lunch from 4 choices. The probability that a randomly selected student chose pizza was 0.25. Which data set support this conclusion?
Go to input box Question 302
Which rule could be used to find each term, after the second, in the recursive sequence shown below?
2, 3, 6, 18, 108, . . .
Go to input box Question 303
In the diagram below BP ≅ PK and
AP ≅ PJ What additional information
is sufficient to prove ∆ APB ≅ ∆ JPK by side-angle-side (SAS) ?
Go to input box Question 304
A pattern is defined by the following rules. The first term is 4. The second term is 7. Each term after the second is found by adding 3 to the immediately preceding term.
What is the fifth term in this pattern?
Go to input box Question 305
Vectors A, B, and C satisfy the vector equation Vector A + Vector B = Vector C and their magnitude are related by the scalar equation A2 + B2 = C2. How is vector A oriented with respect to Vector B?
Go to input box Question 306
Are two vectors with the same magnitude necessarily equal?
Go to input box Question 307
Assuming a car has gasoline consumption of 6 km/liter of gasoline. Its average speed is 60 km/hour. How far can a car travel in one and one half hours?
Go to input box Question 308
A straight track is 1600 meter in length. A runner begins at the starting line, runs due east for the full length of the track, turns around, and runs halfway back. The time for this run is five minutes. What is the runner's average velocity, and what is the average speed?
Go to input box Question 309
A plane starts from rest. The plane accelerates down the runway and at T=29 seconds attains a velocity of -260 km/hour. Determine the average acceleration of the plane in m/s2 ?
Go to input box Question 310
The spacecraft shown below has an initial velocity component of Vox = - 22 m/s and an acceleration component of A x = -24 m/s 2 and Voy = + 14 m/s and A y = + 12 m/s 2. Calculate the final displacement in x and y axis and the final velocity component, V x and V y after 7 seconds the spacecraft was initially observed.
Go to input box Question 311
An airplane moving horizontally with a constant velocity of -115 m/s at an altitude of 1050 meter. The direction of airplane to the right have been chosen as the positive direction. The plane release a crate box that falls to the ground along a curved trajectory. Ignoring air resistance, determine the time required for the crate box to hit the ground.
Go to input box Question 312
A projectile is launched from and return to ground level as shown below. Air resistance is neglected. The horizontal range of the projectile is R= 1200 meters and the horizontal component of the launch velocity is Vox = 25 m/s. Find the vertical component of Voy of the launch velocity.
Go to input box Question 313
Two people pushing a stalled car. The mass of the car is 1850 kg. One person applies a force of 300 Newton (N) to the car, while the other applies a force of 200 Newton (N). Both forces act in the same direction. A third force of 400 N also acts on the car, but in a direction opposite to that in which the two people are pushing. This third force is due to road frictional force. Find the acceleration of the car.
Go to input box Question 314
A man is paddling his boat (mass of man and boat = 1500 kg). By paddling, he causes an average force designated as variable letter P (paddling force) of 17 Newton (N) to applied to the boat in a direction due east. The wind also exerts a force W (wind force) on the boat. This wind force, W has a magnitude of 15 Newton (N) and points 60 degree north of east. Ignoring any resistance from the water, find the x and y component of the boat's acceleration.
Question 315
An astronaut exerts a force of P = 40 N on the spacecraft. The mass of the spacecraft is 11,500 kg and the mass of the astronaut is 90 kg. Find the acceleration of spacecraft and the astronaut.
Go to input box Question 316
A traction device is use in a foot injury. The weight of 3 kg. object creates a tension in the rope that passes around the pulleys. The foot pulley is kept in equilibrium because the foot also applies a force, F to it. This force arises due to the Newton's 3rd law of motion, opposite reaction to the pulling effect of forces T1 and T2. Ignoring the weight of the foot, find the magnitude of force, F.
Question 317
The engine weight is 3,150 Newton (N). This engine is being raised to certain height. Find the tension T-1 in the supporting cable and the tension T-2.
Go to input box Question 318
A jet plane is flying with a constant speed a long a straight line, at an angle of 30° above the horizontal. The plane has a weight of W = 87,200 Newton (N) and its engines provide a forward thrust T = 105,000 Newton (N). In addition, the lift force, L (directed perpendicular to the wings) and the force R, air resistance (directed opposite to the motion) act on the plane. Find the lift force, L, and the air resistance force, R.
Go to input box Question 319
The achilles tendon exerts a force of magnitude, F = 750 Newton (N). Determine the torque (magnitude and direction) of this force about the ankle joint, which is located 0.03 meter (m) away from the heel point, P.
Go to input box Question 320
A square, 0.50 m on a side, is mounted so that it can rotate about an axis that passes through the center of the square. The axis is perpinducular to the plane of the square. A force, F 15 N
lies in this plane and is applied to the square. What is the magnitude of the maximum torque that such force could produce?
Go to input box Question 321
You are installing a new spark plug in your car, and the manual specifies that it be tightened to a torque that has magnitude of 45 N*m. Use the sketch below to determine the force, F, that
you must exert on the wrench.
Go to input box Question 322
Find the work done by a 50 N force in pulling the suitcase at an angle of 60° for a distance of 75 m.
Go to input box Question 323
A 1,200 kg car starting form rest, accelerates for 5 s. The magnitude of the acceleration is a = 4.6 m/s2. Determine the average power generated by the net force that accelerate the car in horspower, hp.
Go to input box Question 324
The space probe was launched and its mass was 500 kg. Consider the probe is traveling at initial speed of Vo = 270 m/s. No forces act on it except the 56 m N thrust of its engine.
The external engine thrust force, T, is directed parallel to the displacement of 3 x 109 m. Determine the final speed of the probe, assuming that the mass remains constant.
Go to input box Question 325
A baseball (mass, m=0.15 kg) has an initial velocity, Vo = -38 m/s as it approaches a bat. Selected the direction of the baseball approach as the negative direction. The bat applies an
average force, Fave, that is much larger than the weight of the baseball, and the ball departs from the bat with a final velocity of Vf = +58 m/s.
Go to input box Question 326
Car 1 has a mass of m1 = 70 x 103 kg and moves at a velocity of V01 = +0.80 m/s. The freight operator decided to couple a Car 2 to Car 1 at the switching yard. Car 2 has a mass
m2 =90 x 103 kg and it is running at velocity of V02 = +1.3 m/s to overtakes Car 1 and to couple to it. Neglecting friction, find the common velocity, V, of the cars after
they become coupled.
Go to input box Question 327
Starting from rest, two skater "push off" against each other on smooth ice, where friction is negligible. The woman mass, m1 = 50 kg. and the man mass, m2 = 90 kg.
After their "push off" the woman moves away with a velocity of Vf1 = +2.5 m/s (velocity to the right is selected as positive). Find the recoil velocity of the man.
Go to input box Question 328
Suppose the pressure acting on the back of a swimmer is 1.4 x 105 Pa near the bottom of the pool. The surface area of the swimmer's back is 0.85 m2.
Determine the magnitude of the force that acts on the swimmer's back.
Go to input box Question 329
Blood in the arteries can be treated as a static fluid. Estimate how much blood pressure, P2, at the foot in the anterior tibial artery exceeds the blood pressure, P1, in the aorta at the heart;
a) when the body is reclining horizontally - see sketch 1 below.
b) when the body is standing. see sketch 2 below.
Go to input box Question 330
A concrete sidewalk is constructed between two building on a day when the temperature is 25 ° C. The sidewalk consists of two slabs, each three meters in length and of negligible thickness.
As the temperature rises to 40 ° C, the slabs expand, but no space is provided for thermal expansion. The building do not move, so the slabs buckle upward. Determine the change in length of each slab associated with this temperature change.
Go to input box Question 331
In half hour, a 50 kg jogger can generate 9.0 x 105 J of heat. This heat is removed from the jogger's body by a variety of means, including the body's own temperature-regulating mechanisms. If the heat were not removed, how much would the body temperature increase?
Go to input box CALCULATOR 332
Three hundred thirty two
Basic Arithmetic
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CALCULATOR 333
Three hundred thirty three
Ratio and Proportion
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CALCULATOR 334
Binary to Decimal Conversion
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CALCULATOR 335
Digital Signal Conversion
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CALCULATOR 336
Pressure Conversion
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CALCULATOR 337
Power Conversion
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CALCULATOR 338
Energy Conversion
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CALCULATOR 339
Torque Conversion
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CALCULATOR 340
Wika Gauge Calculator
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CALCULATOR 341
Statistics and Probability
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CALCULATOR 342
Transformer Full Load Amp Calculator
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CALCULATOR 343
Transformer MVA Rating Calculator
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CALCULATOR 344
Table and Chair Calculator
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CALCULATOR 345
How many product A, B, and C Calculator
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CALCULATOR 346
4 Linear Equations Calculator
Go to input box
CALCULATOR 347
5 Linear Equations Calculator
Go to input box
CALCULATOR 348
6 Linear Equations Calculator
Go to input box
CALCULATOR 349
Metric System
Go to input box
CALCULATOR 350
Transformer Turn Ratio Calculator
Go to input box
CALCULATOR 351
Transformer Current Ratio Calculator
Go to input box
CALCULATOR 352
Transformer Voltage Ratio Calculator
Go to input box
CALCULATOR 353
CT Bushing Secondary Output Current Calculator
Go to input box
CALCULATOR 354
BCT Secondary Output Current Calculator
Go to input box
CALCULATOR 355
Power Triangle Calculator
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CALCULATOR 356
Doble Power Factor Calculator
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CALCULATOR 357
Motor Formulas Calculator
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CALCULATOR 358
Motor Belt Speed Calculator
Go to input box
CALCULATOR 359
Motor Chain Speed Calculator
Go to input box
CALCULATOR 360
Motor Chain Tension Calculator
Go to input box
CALCULATOR 361
Find Pulley Diameter Calculator
Go to input box
CALCULATOR 362
Motor Frequency Calculator
Go to input box
CALCULATOR 363
Motor Torque Lb-Inch Calculator
Go to input box
CALCULATOR 364
Motor Synchronous Speed Calculator
Go to input box
CALCULATOR 365
Motor Required RPM Calculator
Go to input box
CALCULATOR 366
Motor Horsepower Calculator
Go to input box
CALCULATOR 367
Motor Torque Calculator
Go to input box
CALCULATOR 368
Geometric Series Total Population Calculator
Go to input box
CALCULATOR 369
Sine Wave Addition Animation
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CALCULATOR 370
Cycle to Millisecond Calculator
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CALCULATOR 371
Analog and Digital Transmission
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CALCULATOR 372
Temperature Conversion
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CALCULATOR 373
Force Conversion
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CALCULATOR 374
Distance Conversion
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CALCULATOR 375
Area Conversion
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CALCULATOR 376
Volume Conversion
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CALCULATOR 377
Weight Conversion
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CALCULATOR 378
Mass Conversion
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CALCULATOR 379
Speed Conversion
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CALCULATOR 380
Flow Conversion
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CALCULATOR 381
Trigonometry Calculator
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CALCULATOR 382
Roots of Polynomial Equation Calculator
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CALCULATOR 383
Quadratic Equation Calculator
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CALCULATOR 384
Equivalent Polynomial Calculator
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CALCULATOR 385
Permutation Calculator
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CALCULATOR 386
Combination Calculator
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CALCULATOR 387
Polar to Rectangular Calculator
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CALCULATOR 388
Rectangular to Polar Calculator
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CALCULATOR 389
Factorial Calculator
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CALCULATOR 390
Compound Interest Calculator
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CALCULATOR 391
Logarithm Calculator
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CALCULATOR 392
Compound Annual Growth Rate (CAGR) Calculator
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CALCULATOR 393
Matrix 2 x 2 Calculator
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CALCULATOR 394
Matrix 3 x 3 Calculator
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CALCULATOR 395
Matrix 4 x 4 Calculator
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CALCULATOR 396
Bridge Circuit Calculator
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CALCULATOR 397
Complex Drawing Generator Green
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CALCULATOR 398
Complex Drawing Generator Pink
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CALCULATOR 399
Sine Wave of Balanced Waveform
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CALCULATOR 400
Sine Wave Animation
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CALCULATOR 401
Complex Number Calculator
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CALCULATOR 402
Sine Square Triangular Waveform
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CALCULATOR 403
Power Ratio Calculator
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CALCULATOR 404
Voltage Attenuation Calculator
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CALCULATOR 405
Acoustic Gain Calculator
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CALCULATOR 406
Signal to Noise Ratio Calculator
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CALCULATOR 407
Frequency Dip Calculator
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CALCULATOR 408
Future Worth of Money Calculator
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CALCULATOR 409
Present Worth of Money Calculator
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CALCULATOR 410
Annuity Present Worth of Money Calculator
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CALCULATOR 411
Annuity Future Worth of Money Calculator
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CALCULATOR 412
Power or Exponential Calculator
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CALCULATOR 413
Square Root or Nth Root Calculator
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CALCULATOR 414
Circumference of a Circle Calculator
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CALCULATOR 415
Area of a Circle Calculator
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CALCULATOR 416
Area of a Triangle Calculator
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CALCULATOR 417
Area of Parabola Calculator
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CALCULATOR 418
Area Under the Curve Calculator
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CALCULATOR 419
Volume of Cylinder Calculator
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CALCULATOR 420
Geometric Mean Calculator
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CALCULATOR 421
Fundamental Constant
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CALCULATOR 422
Triangle Sine Law Calculator
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CALCULATOR 423
Triangle Cosine Law Calculator
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CALCULATOR 424
Weigth in Newton Calculator
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CALCULATOR 425
Weigth in Pound Force Calculator
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CALCULATOR 426
Pythagorean Equation Calculator
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CALCULATOR 427
Point on Waveform
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CALCULATOR 428
Arithmetic Series Calculator
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CALCULATOR 429
Cable Tension T1 and T2
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CALCULATOR 430
Equation of Particle Path Calculator
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CALCULATOR 431
Building Height Calculator 1
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CALCULATOR 432
Building Height Calculator 2
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CALCULATOR 433
Horizontal Distance Calculator 2
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CALCULATOR 434
River Width Calculator 2
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CALCULATOR 435
Distance in One Second Calculator
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CALCULATOR 436
Forces on Trusses Calculator
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CALCULATOR 437
Personal AI Template 1
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CALCULATOR 438
Personal AI Template 2
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CALCULATOR 439
Personal AI Template 3
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CALCULATOR 440
Personal AI Template 4
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CALCULATOR 441
Fibonacci Number Calculator
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CALCULATOR 442
Transformer Short Circuit Estimate Calculator
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CALCULATOR 443
3rd Grade Math Reviewer
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CALCULATOR 444
4th Grade Math Reviewer
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CALCULATOR 445
5th Grade Math Reviewer
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CALCULATOR 446
6th Grade Math Reviewer
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CALCULATOR 447
7th Grade Math Reviewer
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CALCULATOR 448
8th Grade Math Reviewer
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CALCULATOR 449
High School Math Reviewer
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CALCULATOR 450
Pre Algebra Reviewer
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CALCULATOR 451
Physics Reviewer
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CALCULATOR 452
Matrix 2 x 2 Multiplication Calculator
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CALCULATOR 453
Matrix 2 x 3 Multiplication Calculator
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CALCULATOR 454
Matrix 3 x 3 Multiplication Calculator
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CALCULATOR 455
AWS Solution Architect
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CALCULATOR 456
Motor Slip Calculator
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CALCULATOR 457
Solve for value X and Y Calculator
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CALCULATOR 458
Solve for Newspaper and Magazine
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CALCULATOR 459
Baseball Ticket Calculator
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CALCULATOR 460
Solve for Mother and Son Age
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CALCULATOR 461
Boat and Water Speed
Go to input box
CALCULATOR 462
Solve and Quarter and Dime
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CALCULATOR 463
Solve for Money Invested at Each Rate
Go to input box
CALCULATOR 464
Solve for Cost of Rose Bush and Dogwood Tree
Go to input box
CALCULATOR 465
Find the area of parallelogram given only the two coordinate.
Go to input box
CALCULATOR 466
Solve for volume of tetrahedron
Go to input box
CALCULATOR 467
Solve for volume of parallelepiped
Go to input box
CALCULATOR 468
Optimize farmer land use calculator
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CALCULATOR 469
Optimized food menu calculator
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CALCULATOR 470
Solve for current I1, I2, and I3
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CALCULATOR 471
Circuit Analysis 2
Go to input box
CALCULATOR 472
4 Simultaneous Equation Calculator
Go to input box
CALCULATOR 473
4 Simultaneous Equation Calculator 2
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CALCULATOR 474
Application of Matrix 3 x 3
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CALCULATOR 475
Calculate the distance between two points
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CALCULATOR 476
Find the equation of the line that passes through two points
Go to input box
CALCULATOR 477
Find the equation of the line that passes through two points
Go to input box
CALCULATOR 478
Find the line equation given two points
Go to input box
CALCULATOR 479
Solve for the value of y = ? Then solve for the distance between the two points.
Go to input box
CALCULATOR 480
Solve for the value of y = ? Given the slope
Go to input box
CALCULATOR 481
Sine wave upper and lower limit boundary
Go to input box
CALCULATOR 482
Find the equation of the red line
Go to input box
CALCULATOR 483
Calculate the area of parabola
Go to input box
CALCULATOR 484
Compute the area of circular segment
Go to input box
CALCULATOR 485
Find the equation of a circle
Go to input box
CALCULATOR 486
Find the equation of a circle given three points on its circumference
Go to input box
CALCULATOR 487
Compute the length of line segment SP
Go to input box
CALCULATOR 488
Compute the kinetic energy of the spacecraft
Go to input box
CALCULATOR 489
Compute the time the crate will hit the ground
Go to input box
CALCULATOR 490
Compute the average acceleration of the plane
Go to input box
CALCULATOR 491
Compute the average horsepower of the car
Go to input box
CALCULATOR 492
Compute the time for a sports car to reach 0.25 mile distance.
Go to input box
CALCULATOR 493
Traffic Light Cable Tension
Go to input box
CALCULATOR 494
Statistics reviewer, linear regression, exponential, and polynomial
Go to input box
CALCULATOR 495
Derive the Best Fit Equation
Go to input box
CALCULATOR 496
Graph CT Excitation Test Result
Go to input box
CALCULATOR 497
How to Graph in 3D
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CALCULATOR 498
Compute Acceleration of a Car
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CALCULATOR 499
Amplitude Ratio Calculator
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CALCULATOR 500
Trigonometry Calculator
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CALCULATOR 501
Compute Average Velocity and Speed
Go to input box
CALCULATOR 502
Compute Tension and Acceleration
Go to input box
CALCULATOR 503
Compute Net Present Value
Go to input box
CALCULATOR 504
Multiplication of 12 Numbers
Go to input box
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IN-V-BAT-AI helps you recall information on demand—even when daily worries block your memory. It organizes your knowledge to make retrieval and application easier.
Source: How People Learn II: Learners, Contexts, and Cultures
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How can IN-V-BAT-AI be used in classrooms ?
IN-V-BAT-AI is a valuable classroom tool that enhances both teaching and learning experiences. Here are some ways it can be utilized:
⋆ Personalized Learning : By storing and retrieving knowledge in the cloud, students can access tailored resources and revisit
concepts they struggle with, ensuring a more individualized learning journey.
⋆ Memory Support : The tool helps students recall information even when stress or distractions hinder their memory, making it
easier to retain and apply knowledge during homework assignments or projects.
⋆ Bridging Learning Gaps : It addresses learning loss by providing consistent access to educational materials, ensuring that
students who miss lessons can catch up effectively.
⋆ Teacher Assistance : Educators can use the tool to provide targeted interventions to support learning.
⋆ Stress Reduction : By alleviating the pressure of memorization, students can focus on understanding and applying concepts,
fostering a deeper engagement with the material.
🧠 IN-V-BAT-AI vs. Traditional EdTech: Why "Never Forget" Changes Everything
📚 While most EdTech platforms focus on delivering content or automating classrooms, IN-V-BAT-AI solves a deeper problem: forgetting.
✨Unlike adaptive learning systems that personalize what you learn, IN-V-BAT-AI personalizes what you remember. With over 504 pieces of instantly retrievable knowledge, it's your cloud-based memory assistant—built for exam prep, lifelong learning, and stress-free recall.
- ✅ One-click access to formulas, calculators, and concepts
- 📧 No coding, no hosting—just email what you want to remember
- 📱 Live within 24 hours, optimized for mobile and voice search
- 💸 $30/year for 504 personalized knowledge sites (just 6¢ each)
"🧠 Forget less. Learn more. Remember on demand."
That's the IN-V-BAT-AI promise.
Personal Augmented Intelligence (AI) Explanation
🧠 Augmented Intelligence vs Artificial Intelligence
Understanding the difference between collaboration and automation
| Feature | Augmented Intelligence | Artificial Intelligence |
|---|---|---|
| Core Purpose | Enhances human decision-making and capabilities | Automates tasks and mimics human cognition |
| Human Role | Central — humans remain in control | Often minimal — systems operate independently |
| Design Philosophy | Human-centric, collaborative | Machine-centric, autonomous |
| Examples |
|
|
| Ethical Oversight | Preserves human judgment and ethics | Requires external governance |
| Explainability | Prioritizes transparency and traceability | Can be opaque or “black box” |
| Use Case Fit | High-stakes decisions needing human nuance | Repetitive, data-heavy tasks needing speed |
| Learning Approach | Few-shot learning and expert systems | Deep learning and large datasets |
🔍 Messaging Contrast
Augmented Intelligence is like a co-pilot: it amplifies your strengths, helps you recall, analyze, and decide — but it never flies solo.
Artificial Intelligence is more like an autopilot: designed to take over the controls entirely, often without asking.
💡 Why It Matters for IN-V-BAT-AI
IN-V-BAT-AI is a textbook example of Augmented Intelligence. It empowers learners with one-click recall, traceable results, and emotionally resonant memory tools. Your “Never Forget” promise isn't about replacing human memory — it's about enhancing it.
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