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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.
| 3401. |
13.0 units, 28.8 units, 31.2 units, 33.8 units |
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Answer» What is the length of BC, rounded to the nearest tenth? 13.0 units, 28.8 units, 31.2 units, 33.8 units Solution: |
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| 3402. |
What is the length of BC, rounded to the nearest tenth? |
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Answer» What is the length of BC, rounded to the nearest tenth? 13.0 units, 28.8 units, 31.2 units, 33.8 units Solution: |
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| 3403. |
Let f(x) = 3x2 - x + 2 and g(x) = 5x2 - 1. Find f(g(x)). Show each step of your work. |
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Answer» Let f(x) = 3x2 - x + 2 and g(x) = 5x2 - 1. Find f(g(x)). Show each step of your work. Solution: |
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| 3404. |
Explain how you can prove the difference of two cubes' identity. a3-b3 = (a -b)(a2 + ab + b2) |
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Answer» Explain how you can prove the difference of two cubes' identity. a3-b3 = (a -b)(a2 + ab + b2) Solution: |
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| 3405. |
What is 16 to the power of 2? |
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Answer» 16 to the power of 2 is 256. Through the rules of exponents, we can calculate values with highpowers.The exponent of any number represents how many times to use the number in a multiplication. |
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| 3406. |
If sin θ = 1 over 3 and tan θ < 0, what is the value of cos θ? |
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Answer» If sin θ = 1 over 3 and tan θ < 0, what is the value of cos θ? Solution: |
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| 3407. |
If f(x) + x2 [f(x)]4= 18 and f(1) = 2, find f'(1). |
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Answer» If f(x) + x2 [f(x)]4= 18 and f(1) = 2, find f'(1). Solution. |
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| 3408. |
Find out the value of x to the power of 0? |
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Answer» x to the power of 0 is 1. We will find out the solution to this question by using the zero property of exponents. |
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| 3409. |
What is 3 to the power of 10? |
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Answer» 3 to the power of 10is 59049. We will solve the above question by using the exponent rules. The exponent of any number represents how many times to use the number in a multiplication. |
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| 3410. |
How much is 3 to the power of 4? |
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Answer» 3 to the power of 4 is 81. We will solve this question by using the multiplication rule of exponents and power. The exponent of any number represents how many times to use the number in a multiplication. |
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| 3411. |
In triangle PQR, PS, QT, and RU are the medians and PS and QT intersect at the point (4,5).RU intersects PS at the point.? |
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Answer» In triangle PQR, PS, QT, and RU are the medians and PS and QT intersect at the point (4, 5).RU intersects PS at the point.? Solution: |
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| 3412. |
If the discriminant of an equation is positive, which of the following is true of the equation? A. it has two complex solution B. it has two real solutions C. it has one real solution |
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Answer» If the discriminant of an equation is positive, which of the following is true of the equation? A. it has two complex solution B. it has two real solutions C. it has one real solution Solution: |
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| 3413. |
Find sin(2x), cos(2x), and tan(2x) from the given information. sin(x) = 3/5 , x in quadrant I |
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Answer» Find sin(2x), cos(2x), and tan(2x) from the given information. sin(x) = 3/5 , x in quadrant I Solution: |
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| 3414. |
Find an equation of the plane. The plane through the points are (0, 7, 7), (7, 0, 7), and (7, 7, 0). |
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Answer» Find an equation of the plane. The plane through the points are (0, 7, 7), (7, 0, 7), and (7, 7, 0). Solution: |
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| 3415. |
Write an equation that expresses the following relationship: uvaries directly with the cube of p and inversely with d.In your equation, use k as the constant of proportionality. |
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Answer» The formula isu = kp3/ d,where kis the constant of proportionality. Theproportionhelps us to find howone quantity varies with the other. |
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| 3416. |
Find the points on the curve y = 2x3 + 3x2 -12x + 8 where the tangent is horizontal? |
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Answer» Find the points on the curve y = 2x3+ 3x2- 12x + 8 where the tangent is horizontal? Solution: |
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| 3417. |
Find the General Solution of the given Second-Order Differential Equation y'' − 8y' + 17y = 0 |
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Answer» The General Solution of the given Second-Order Differential Equation y'' − 8y' + 17y = 0 isy = e^{4x}( A cos(x) + B sin(x) ). We will be using the concept of second-order differential equations to solve this. |
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| 3418. |
What is the magnitude of the cross product \(\vec{a}\) × \(\vec{b}\)? |
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Answer» The magnitude of the cross product of two vectors an and b is the area of the parallelogram formed by a and b, that is, |a|.|b| The cross product of two vectors is another vector that is perpendicular to both the given vectors. |
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| 3419. |
Which is a quadrilateral with only one pair of opposite sides parallel? |
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Answer» Trapezium A quadrilateral is a closed polygon formed by four line segments. |
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| 3420. |
The length of a room is 20 feet and its width is 12 feet. What is the perimeter? |
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Answer» The length of a room is 20 feet and its width is 12 feet. What is the perimeter? Solution: |
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| 3421. |
Find the shortest distance, d, from the point (6, 0, -4) to the plane x + y + z = 4? |
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Answer» Find the shortest distance, d, from the point (6, 0, -4) to the plane x + y + z = 4? Solution: |
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| 3422. |
x = 65 |
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Answer» What is the solution of (8x - 8)3/2= 64? Solution: |
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| 3423. |
x = 13 |
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Answer» What is the solution of (8x - 8)3/2= 64? Solution: |
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| 3424. |
x = 5 |
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Answer» What is the solution of (8x - 8)3/2= 64? Solution: |
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| 3425. |
x = 3 |
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Answer» What is the solution of (8x - 8)3/2= 64? Solution: |
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| 3426. |
What is the solution of (8x - 8)3/2 = 64? |
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Answer» What is the solution of (8x - 8)3/2= 64? Solution: |
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| 3427. |
What is the result of 15 to the power of 2? |
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Answer» What is the result of 15 to the power of 2? Solution: |
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| 3428. |
How much is 5 to the power of 7? |
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Answer» 5 to the power of 7is 78125. We explainthis question by the multiplication rule of exponents and power. The exponent of any number represents how many times to use the number in a multiplication. |
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| 3429. |
True or False. The mean is the measure of central tendency most likely to be affected by an extreme value. |
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Answer» True or False. The mean is the measure of central tendency most likely to be affected by an extreme value. Solution: |
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| 3430. |
Suppose y= √2x + 1where x and y are functions of t. (a) if dx/dt= 3, find dy/dt when x=4. (b) if dy/dt= 5, find dx/dt when x=12. |
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Answer» Suppose y= where x and y are functions of t. (a) if dx/dt= 3, find dy/dt when x=4. (b) if dy/dt= 5, find dx/dt when x=12. Solution: |
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| 3431. |
A quadrilateral has no pairs of parallel sides. Which name best describes the figure? |
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Answer» A KITE is a quadrilateral that has no pairs of parallel sides.
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| 3432. |
What is 6 to the power of 6? |
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Answer» 6 to the power of 6 is 46656. We will solvethe above question by the multiplication rule of exponents and power. The exponent of any number represents how many times to use the number in a multiplication. |
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| 3433. |
What is the sum of the arithmetic sequence 6, 14, 22 …, if there are 26 terms? |
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Answer» What is the sum of the arithmetic sequence 6, 14, 22 …, if there are 26 terms? Solution: |
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| 3434. |
How much is 3 to the power of 1? |
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Answer» 3 to the power of 1 is 3. The exponent rules tell us that how many times to multiply the number by itself. Also when any number raised to the power of one, equals the number itself. |
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| 3435. |
Given that f(x) = 2x + 5 and g(x) = x − 7, solve for f(g(x)) when x = −3. |
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Answer» Given that f(x) = 2x + 5 and g(x) = x − 7, solve for f(g(x)) when x = −3. Solution: |
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| 3436. |
What is the Equation of the Line that Passes through the Points (−2, 1) and (1, 10)? |
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Answer» The Equation of the Line that Passes through the Points (−2, 1) and (1, 10) isy = 3x + 7 We will be using the two-point form of a lineto solve this. |
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| 3437. |
Which point is an exact solution to the system y = -6(0.75)x and y = 4(x - 1)? |
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Answer» Which point is an exact solution to the system y = -6(0.75)x and y = 4(x - 1)? Solution: |
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| 3438. |
What is the 7th term of the geometric sequence where a1 = 128 and a3 = 8? |
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Answer» What is the 7th term of the geometric sequence where a1 = 128 and a3 = 8? Solution: |
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| 3439. |
One root of f(x) = x3 - 4x2 - 20x + 48 is x = 6. What are all the factors of the function? Use the Remainder Theorem. (x + 6)(x + 8) (x - 6)(x - 8) (x - 2)(x + 4)(x - 6) (x + 2)(x - 4)(x + 6) |
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Answer» One root of f(x) = x3 - 4x2 - 20x + 48 is x = 6. What are all the factors of the function? Use the Remainder Theorem. (x + 6)(x + 8) (x - 6)(x - 8) (x - 2)(x + 4)(x - 6) (x + 2)(x - 4)(x + 6) Solution: |
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| 3440. |
What is the difference between a rational and irrational number? |
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Answer» Numbers which can be expressed in a/b or fraction form is a rational number, a number which cannot be expressed in a ratio of two numbers is irrational numbers Numbers that can be expressed in a/b or fraction form arerational numberswherea is an integer and b is a non-zero integer and anirrational numberare the numbers that cannot be written in a/b form. |
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| 3441. |
Which is the completely factored form of 4x2 + 28x + 49? (x + 7)(4x + 7) 4(x + 7)(x + 7) (2x + 7)(2x + 7) 2(x+7)(x + 7) |
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Answer» Which is the completely factored form of 4x2+ 28x + 49? Solution: |
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| 3442. |
Convert the equation to polar form. (use variables r and θ as needed.) x = y |
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Answer» Convert the equation to polar form. (use variables r and θ as needed.) x = y Solution: |
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| 3443. |
If A and B are independent events with P(A) = 0.2 and P(B) = 0.6, then P(A ∪ B) is? |
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Answer» If A and B are independent events with P(A) = 0.2 and P(B) = 0.6, then P(A ∪ B) is? Solution: |
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| 3444. |
The sum of three consecutive even integers is 30. What are the integers? |
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Answer» The three consecutive integers whose sum is 30 are 8, 10, and 12. An integer is a number with no decimal or fractional part, from the set of negative and positive numbers, including zero. |
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| 3445. |
Let f(x) = 16x5 − 48x4 − 8x3 and g(x) = 8x2. Find f of x over g of x. |
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Answer» Let f(x) = 16x5− 48x4 − 8x3 and g(x) = 8x2. Find f of x over g of x. Solution: |
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| 3446. |
What are the coordinates of the image of vertex F after a reflection across the line y = -x? |
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Answer» What are the coordinates of the image of vertex F after a reflection across the line y = -x?
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| 3447. |
Find tan θ if sec θ = √26 ÷ 5 and sin θ < 0? |
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Answer» Find tan θ if sec θ = √26 ÷ 5 and sin θ < 0? Solution: |
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| 3448. |
Find the slope of the line that passes through the pair of points. (2, 6), (7, 0). |
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Answer» Find the slope of the line that passes through the pair of points. (2, 6), (7, 0). Solution: |
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| 3449. |
Express 4 divided by 6 as a fraction. |
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Answer» The value of 4divided by 6as a fraction is 2 / 3. To writea fraction in its simplest form meansthe numeratorand denominator can no longer be divided by the same whole number exactly or evenly |
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| 3450. |
Find the General Solution of the given Second-Order Differential Equation y'' − y' − 12y = 0 |
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Answer» The General Solution of the given Second-Order Differential Equation y'' − y' − 12y = 0 is y = A e^{-4x} + B e^{3x} We will be using the concept of second-order differential equations to solve this. |
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