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This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 5701. |
What are the x-intercepts of the graph of the function f(x) = x2+ 4x - 12? |
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Answer» What are the x-intercepts of the graph of the function f(x) = x2+ 4x - 12? Solution: |
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| 5702. |
Is x - 8 a factor of the function f(x) = -2x3 + 17x2 - 64? Explain. |
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Answer» Is x - 8 a factor of the function f(x) = -2x3 + 17x2 - 64? Explain. Solution: |
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| 5703. |
Find the average value of the function f on the given interval. f(x) = x, [0, 16]. |
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Answer» Find the average value of the function f on the given interval. f(x) = x, [0, 16]. Solution: |
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| 5704. |
In a 30°- 60°- 90° triangle, the length of the hypotenuse is 30. Find the length of the shorter leg? |
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Answer» In a 30°- 60°- 90° triangle, the length of the hypotenuse is 30. Find the length of the shorter leg? Solution: |
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| 5705. |
What is the prime factorization of 40? |
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Answer» What is the prime factorization of 40? Solution: |
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| 5706. |
If the ratio of 2x to 5y is 3 to 4. What is the ratio of x to y? |
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Answer» If the ratio of 2x to 5y is 3 to 4. What is the ratio of x to y? Solution: |
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| 5707. |
Find sin(2x), cos(2x), and tan(2x) from the given information. tan(x) = -4/3 , x in quadrant II |
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Answer» Find sin(2x), cos(2x), and tan(2x) from the given information. tan(x) = -4/3 , x in quadrant II Solution: |
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| 5708. |
How many inches in 9 Feet? |
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Answer» 9 feet is equal to 108 inches Inches and Feet are used to measure the length of objects or distance. |
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| 5709. |
You are dealt one card from a 52-card deck. Find the probability that you are not dealt: a heart. |
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Answer» You are dealt one card from a 52-card deck. Find the probability that you are not dealt: a heart. Solution: |
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| 5710. |
Describe Gross Profit Percentage. |
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Answer» Gross Profit Percentage = (Gross Profit / Total Sales)× 100 % Gross profit percentage signifies the amount of profit from the sales income expressed in terms of percentage. |
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| 5711. |
Determine the x and y intercepts for the graph defined by the given equation. y = x + 8 x-intercept is (0, 8),y-intercept is (-8, 0) x-intercept is (-8, 0),y-intercept is (0, 8) x-intercept is (0, -8),y-intercept is (8, 0) x-intercept is (8, 0),y-intercept is (0, -8) |
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Answer» Determine the x and y intercepts for the graph defined by the given equation. y = x + 8 Solution: |
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| 5712. |
How to express 5to the power of 2? |
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Answer» 5to the power of 2can be expressed as 52= 5× 5= 25 Power in exponents is defined as the total number of times we use the number ina multiplication.For example, 2 to the power 3 means 2 is multiplied 3 times. |
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| 5713. |
Simplify quantity 1 over 36 minus 1 over x squared all over 1 over 6 plus 1 over x. |
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Answer» Simplify quantity 1 over 36 minus 1 over x squared all over 1 over 6 plus 1 over x. Solution: |
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| 5714. |
Name the algebraic property demonstrated in the example below: 2 + x + y = x + 2 + y |
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Answer» Thealgebraic propertythat has beendemonstrated in the examplein question is the CommutativePropertyof Addition Commutative property of addition states that, the order of the numbers in which they are being added does not change the result. |
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| 5715. |
$1,000 invested today at 6% Interest would be worth ________ one year from now. |
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Answer» $1,000 invested today at 6% interest would be worth $1,060 one year from now. We will be using the concept of Simple Interest to solve this. |
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| 5716. |
Explain How to Use Multiplication to Check the Answer to a Division Problem? |
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Answer» (Quotient × Divisor) + Remainder = Dividend can be used to check the answer to a division problem. We can use a formula to verify the division problem |
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| 5717. |
Using the following equation, find the center and radius: x2- 2x + y2- 6y = 26 |
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Answer» Using the following equation, find the center and radius: x2- 2x + y2- 6y = 26 Solution: |
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| 5718. |
What is the area of a trapezoid with a height of 5 m and bases of 8 m and 1 m? |
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Answer» The area of a trapezoid with a height of 5 m and bases of 8 m and 1 m is22.5 m2. A trapezoidis a flat closed shapequadrilateralin which one pair of opposite sides are parallel. |
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| 5719. |
How do you simplify sec(tan-1x)? |
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Answer» The value ofsec(tan-1x) is√x2+ 1. Inverse trigonometric functions are the inverse ratio of the basic trigonometric ratios. |
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| 5720. |
Write the complex number in the form a + bi. √6(cos 315° + i sin 315°) |
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Answer» Write the complex number in the form a + bi. √6(cos 315° + i sin 315°) Solution: |
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| 5721. |
Given the function f(x) = 3(x + 2) - 4, solve for the inverse function when x = 2. |
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Answer» Given the function f(x) = 3(x + 2)-4, solve for the inverse function when x = 2. Solution: |
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| 5722. |
What is 2 to the 4th power? |
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Answer» The value of 2 to the 4th power i.e., 24is 16. The exponentor power of a number shows how many times the number is multiplied by itself. |
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| 5723. |
How many square centimeters are there in a square meter? |
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Answer» 10000 square centimeters are there in a square meter. Centimeters and meters are the measuring units used to measure lengthsand distances. Square centimeters and square meters are used to measure area. |
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| 5724. |
What is the Use of Geometric Construction? |
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Answer» What is the Use of Geometric Construction? Solution: |
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| 5725. |
Find the area under the standard normal distribution curve between z = -2.05 and z = 2.05 |
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Answer» Find the area under the standard normal distribution curve between z = -2.05 and z = 2.05 Solution: |
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| 5726. |
What is the percentage increase from 60 to 75? |
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Answer» What is the percentage increase from 60 to 75? Solution: |
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| 5727. |
How to find the x and y-intercepts of a rational function? |
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Answer» To find the x-intercept of a rational function, we substitute y = 0 in the function and find the corresponding value of x, and to find the y-intercept of a rational function,we substitute x= 0 in the function and find the corresponding value of y. A rational function is expressed in the form of p(x) / q(x), where q(x) is not equal to zero. |
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| 5728. |
A card is drawn from a well-shuffled deck of 52 cards. Find P(Drawing a face card or a 4)? |
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Answer» A card is drawn from a well-shuffled deck of 52 cards. Find P(Drawing a face card or a 4)? Solution: |
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| 5729. |
What's the volume of a block of ice measuring 3 meters long, 1.5 meters wide, and 2 meters high? |
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Answer» What's the volume of a block of ice measuring 3 meters long, 1.5 meters wide, and 2 meters high? Solution: |
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| 5730. |
How far does the car go if it is traveling at an average speed of 15 m / s and traveled for 7 sec? Find the total distance. |
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Answer» If a car is traveling at an average speed of 15 m / s and traveled for 7 sec, then the total distance traveled is 105 meters. We will use the concept of speed, distance and time in order to find the total distance the car has traveled. |
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| 5731. |
Determine the finance charge on an $8,000 loan with a monthly payment of $162.80 for 60 months $29.47, $162.80, $1,768.00, $9,768.00 |
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Answer» Determine the finance charge on an $8,000 loan with a monthly payment of $162.80 for 60 months Solution: |
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| 5732. |
Find five rational numbers between -1 and 1 |
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Answer» Five rational numbers between -1 and 1 are -2/3, -1/3, 0, 1/3, and 2/3 Arational numberis anumberthat is expressed as the ratio of two integers, where the denominator should not be equal to zero. |
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| 5733. |
Two thirds of a number reduced by 11 is equal to 4 more than the number. Find the number? |
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Answer» Two thirds of a number reduced by 11 is equal to 4 more than the number. Find the number? Solution: |
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| 5734. |
What number would complete the pattern below? 16, 4, 12, 36, 9, 27, 44, 11, __ |
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Answer» What number would complete the pattern below? 16, 4, 12, 36, 9, 27, 44, 11, __ Solution: |
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| 5735. |
Solve for x and y: 7(y + 3) - 2(x + 2) = 14, 4(y - 2) + 3(x - 3) = 2 |
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Answer» Solve for x and y: 7(y + 3) - 2(x + 2) = 14, 4(y - 2) + 3(x - 3) = 2 Solution: |
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| 5736. |
When solving a negative one over eight (x + 35) = -7, what is the correct sequence of operations? Multiply each side by negative one over eight , add 35 to each side Multiply each side by negative one over eight , subtract 35 from each side Multiply each side by -8, subtract 35 from each side Multiply each side by -8, add 35 to each side |
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Answer» When solving a negative one over eight (x + 35) = -7, what is the correct sequence of operations? Solution: |
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| 5737. |
Using the formula c = 2πr, find the circumference of a circle with diameter of 28 inches. |
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Answer» Using the formula c = 2πr, find the circumference of a circle with diameter of 28 inches. Solution: |
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| 5738. |
How many days are there in a fortnight? |
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Answer» There are 14 days in a fortnight. We will find how days and fortnights are related. |
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| 5739. |
Find the number a such that the line x = a bisects the area under the curve y = 1/x² for 1 ≤ x ≤ 4. |
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Answer» Find the number a such that the line x = a bisects the area under the curve y = 1/x² for 1 ≤ x ≤ 4. Solution: |
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| 5740. |
What number is needed to complete the pattern below? 66 73 13 21 52 __ 10 20 |
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Answer» What number is needed to complete the pattern below? 66 73 13 21 52 __ 10 20 Solution: |
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| 5741. |
What is the 2nd term when 3 + 2x2 - 3x4 + x3 is arranged in descending order? |
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Answer» What is the 2nd term when 3 + 2x2- 3x4+ x3is arranged in descending order? Solution: |
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| 5742. |
How do you find the vertex of a quadratic function? Find the vertex of quadratic function y = x2 + 2x - 2 . |
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Answer» The vertex of quadratic function y = x2 + 2x - 2 is given by point (-1, -3) We will use the concept of differentiation in order to find the vertex of a quadratic function. |
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| 5743. |
The sum of the angle measures of a polygon with n sides is 2880. Find n. |
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Answer» The sum of the angle measures of a polygon with n sides is 2880. Find n. Solution: |
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| 5744. |
What is 0.325as a fraction? |
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Answer» 0.325 as a fraction is expressed as 13/40 A fraction is a portion of any quantity out of a whole. It consists of a numerator and a denominator. |
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| 5745. |
Medicine is packed in boxes, each weighing 4 kg 500 g, how many such boxes can be loaded in a van which cannot carry beyond 800 kg? |
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Answer» 177 such boxes can be loaded into the van. The question is based on the concept of division. |
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| 5746. |
What is the domain of the function f(x) = 2x + 5? |
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Answer» What is the domain of the function f(x) = 2x + 5? Solution: |
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| 5747. |
Sari is factoring the polynomial 2x2 + 5x + 3. If one factor is (x + 1), what is the other factor? |
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Answer» Sari is factoring the polynomial 2x2+ 5x + 3. If one factor is (x + 1), what is the other factor? Solution: |
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| 5748. |
What is the quotient when x3 - 5x2 + 3x - 8 is divided by x - 3? |
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Answer» What is the quotient when x3- 5x2+ 3x - 8 is divided by x - 3? Solution: |
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| 5749. |
Simplify square root of 5 open parentheses 10 minus 4 square root of 2 close parentheses. |
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Answer» Simplify square root of 5 open parentheses 10 minus 4 square root of 2 close parentheses. Solution: |
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| 5750. |
Choose the equation below whose axis of symmetry is x = 2. y = x2 + 4x + 2 y = x2 - 4 y = x2 - 2 y = x2 - 4x + 2 |
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Answer» Choose the equation below whose axis of symmetry is x = 2. Solution: |
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