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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.
| 651. |
What is the next number in the series: 4, 12, 6, 9, 8, 6,__? |
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Answer» What is the next number in the series: 4, 12, 6, 9, 8, 6,__? Solution: |
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| 652. |
The rectangles in the figure below are similar. Find the value of x. |
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Answer» The rectangles in the figure below are similar. Find the value of x. Solution: |
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| 653. |
What is the inverse of h? h(x) = 6x + 1 |
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Answer» What is the inverse of h? h(x) = 6x + 1 Solution: |
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| 654. |
Solve x + 2y = 13 and 4x + 8y = -9 |
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Answer» Solve x + 2y = 13 and 4x + 8y = -9 Solution: |
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| 655. |
The length of the hypotenuse of a 30 -60 -90 triangle is 16. What is the perimeter? |
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Answer» The length of the hypotenuse of a 30 -60 -90 triangle is 16. What is the perimeter? Solution: |
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| 656. |
What is the product? (x - 3)(2x2 - 5x + 1) |
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Answer» What is the product? (x - 3)(2x2 - 5x + 1) Solution: |
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| 657. |
Find the fourth roots of 16(cos 200° + i sin 200°). |
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Answer» Find the fourth roots of 16(cos 200° + i sin 200°). Solution: |
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| 658. |
Find an nth degree polynomial function with real coefficients satisfying the given conditions. n = 3; 2 and -2 + 3i are zeros; leading coefficient is 1. Find the expanded and simplified polynomial |
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Answer» Find an nth degree polynomial function with real coefficients satisfying the given conditions. n = 3; 2 and -2 + 3i are zeros; leading coefficient is 1. Find the expanded and simplified polynomial Solution: |
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| 659. |
There are 10 students participating in a spelling bee. In how many ways can the students who go first and second be chosen? |
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Answer» There are 10 students participating in a spelling bee. In how many ways can the students who go first and second be chosen? Solution: |
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| 660. |
Find the vertex and axis of symmetry, and intercepts for a quadratic equation y= x2 + 6x + 5? |
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Answer» Find the vertex and axis of symmetry, and intercepts for a quadratic equation y= x2 + 6x + 5? Solution: |
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| 661. |
Find the vertex and axis of symmetry of the graph of the function. f(x) = -x2 + 14x + 9. |
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Answer» Find the vertex and axis of symmetry of the graph of the function. f(x) = -x2 + 14x + 9. Solution: |
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| 662. |
What is the most precise name for quadrilateral ABCD with vertices A(-3, 2), B(-1, 4), C(4, 4), and D(2, 2)? |
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Answer» What is the most precise name for quadrilateral ABCD with vertices A(-3, 2), B(-1, 4), C(4, 4), and D(2, 2)? Solution: |
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| 663. |
Which of the following are the factors of m2 - 14m + 48? |
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Answer» Which of the following are the factors of m2 - 14m + 48? Solution: |
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| 664. |
What are the domain, range, and asymptote of h(x) = (0.5)x - 9? |
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Answer» What are the domain, range, and asymptote of h(x) = (0.5)x - 9? Solution: |
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| 665. |
What number is one fifth of one fourth of one ninth of 900? |
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Answer» What number is one fifth of one fourth of one ninth of 900? Solution: |
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| 666. |
Consider a sample with data values of 10, 20, 12, 17, and 16. Compute the range and interquartile range. |
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Answer» Consider a sample with data values of 10, 20, 12, 17, and 16. Compute the range and interquartile range. Solution: |
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| 667. |
What is the quotient (3x2 + 8x - 3) ÷ (x + 3)? |
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Answer» What is the quotient (3x2 + 8x - 3) ÷ (x + 3)? Solution: |
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| 668. |
If c(x) = 5/x - 2 and d(x) = x + 3, what is the domain of (cd)(x)? And, if f(x) = 7 + 4x and g(x) = 1/2x, what is the value of (f/g)(5)? |
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Answer» If c(x) = 5/x - 2 and d(x) = x + 3, what is the domain of (cd)(x)? And, if f(x) = 7 + 4x and g(x) = 1/2x, what is the value of (f/g)(5)? Solution: |
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| 669. |
What is the quotient (3x2 + 4x - 15) ÷ (x + 3)? |
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Answer» What is the quotient (3x2 + 4x - 15) ÷ (x + 3)? Solution: |
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| 670. |
Find all solutions in the interval [0, 2π). cos x = sin x |
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Answer» Find all solutions in the interval [0, 2π). cos x = sin x Solution: |
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| 671. |
Write the standard equation for the circle. center (10, -6), r = 6. |
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Answer» Write the standard equation for the circle. center (10, -6), r = 6. Solution: |
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| 672. |
Given the function f(x) = log4(x + 8), find the value of f-1(2). |
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Answer» Given the function f(x) = log4(x + 8), find the value of f-1(2). Solution: |
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| 673. |
What are the sine, cosine, and tangent of 2π over 3 radians? |
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Answer» What are the sine, cosine, and tangent of 2π over 3 radians? Solution: |
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| 674. |
Eight people are to be seated in a row of 8 chairs. In how many ways can these people be seated if two of them insist on sitting next to one another? |
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Answer» Eight people are to be seated in a row of 8 chairs. In how many ways can these people be seated if two of them insist on sitting next to one another? Solution: |
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| 675. |
How do you graph y = 3 sin (2x)? |
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Answer» How do you graph y = 3 sin (2x)? Solution: |
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| 676. |
Complete the table below to solve the equation 2.5x - 10.5 = 64(0.5x). |
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Answer» Complete the table below to solve the equation 2.5x - 10.5 = 64(0.5x).
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| 677. |
Which expression can be used to find the difference between the polynomials? (4m - 5) - (6m - 7 + 2n) A. (4m - 5) + (6m - 7 + 2n) B. (4m - 5) + (6m + 7 + 2n) C. (4m - 5) -(6m - 7 + 2n) D. (4m + 5) + (6m + 7 + 2n) |
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Answer» Which expression can be used to find the difference between the polynomials? (4m - 5) - (6m - 7 + 2n) Solution: |
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| 678. |
Which relation is a direct variation that contains the ordered pair (2, 7)? |
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Answer» Which relation is a direct variation that contains the ordered pair (2, 7)? Solution: |
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| 679. |
Which equation is the inverse of y = 2x2- 8? |
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Answer» Which equation is the inverse of y = 2x2- 8? Solution: |
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| 680. |
What is the additive inverse of the polynomial -9xy2 + 6x2y - 5x3? |
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Answer» What is the additive inverse of the polynomial -9xy2 + 6x2y - 5x3? Solution: |
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| 681. |
Solve for x: 1 over 4 (2x - 14) = 4. |
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Answer» Solve for x: 1 over 4 (2x - 14) = 4. Solution: |
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| 682. |
Solve for x: 2 over 3 (x - 4) = 2x. |
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Answer» Solve for x: 2 over 3 (x - 4) = 2x. Solution: |
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| 683. |
What is the solution to 4|0.5x - 2.5| = 0? x = 1.25, x = 5, x = -1.25, x = -5 |
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Answer» What is the solution to 4|0.5x - 2.5| = 0? Solution: |
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| 684. |
What does topological space mean? |
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Answer» What does topological space mean? Solution: |
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| 685. |
Solve x2 - 4 = 5 by graphing the related function. There are two solutions 1 and -1 There is one solution 1 There are no real number solutions. There are two solutions 3 and -3 |
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Answer» Solve x2 - 4 = 5 by graphing the related function Solution: |
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| 686. |
A particular sound wave can be graphed using the function y = -3sinx, how do you find the period of the function? |
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Answer» A particular sound wave can be graphed using the function y = -3sinx, how do you find the period of the function? Solution: |
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| 687. |
Find f. f '(t) = 8 / 1 + t2 , f(1) = 0 |
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Answer» Find f. f '(t) = 8 / 1 + t2 , f(1) = 0 Solution: |
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| 688. |
Subtract 15mn - 22m + 2n from 14mn - 12m + 7n. |
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Answer» Subtract 15mn - 22m + 2n from 14mn - 12m + 7n. Solution: |
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| 689. |
What is the value of 36x - 8y2 when x = 3 and y = -6 |
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Answer» What is the value of 36x - 8y2 when x = 3 and y = -6 Solution: |
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| 690. |
Let f(x) = -4x + 7 and g(x) = 10x - 6. Find f(g(x)). |
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Answer» Let f(x) = -4x + 7 and g(x) = 10x - 6. Find f(g(x)). Solution: |
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| 691. |
Find all solutions in the interval [0, 2π). (sin x)(cos x) = 0 |
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Answer» Find all solutions in the interval [0, 2π). (sin x)(cos x) = 0 Solution: |
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| 692. |
If r(t) = 4e3t, 2e-3t, 4te3t , find t(0), r''(0), and r'(t) · r''(t). |
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Answer» If r(t) = 4e3t, 2e-3t, 4te3t , find t(0), r''(0), and r'(t) · r''(t). Solution: |
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| 693. |
The sum of 5 consecutive integers is 270. What is the second number in this sequence? |
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Answer» The sum of 5 consecutive integers is 270. What is the second number in this sequence? Solution: |
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| 694. |
What time is 17:40? |
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Answer» What time is 17:40? Solution: |
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| 695. |
Solve using quadratic formula : 4x2+ 4ax + (a2+ b2). |
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Answer» Solve using quadratic formula : 4x2+ 4ax + (a2+ b2). Solution: |
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| 696. |
Which equation represents a graph with a vertex at (-3, 2)? y = 4x2 + 24x + 38 y = 4x2 - 24x + 38 y = 4x2 + 12x + 2 y = 4x2 + 16x + 13 |
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Answer» Which equation represents a graph with a vertex at (-3, 2)? y = 4x2 + 24x + 38 Solution: |
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| 697. |
Solve for k. 8k + 2m = 3m + k |
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Answer» Solve for k. 8k + 2m = 3m + k Solution: |
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| 698. |
What is the solution of log4x - 1032 = 5? |
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Answer» What is the solution of log4x - 1032 = 5? Solution: |
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| 699. |
What is the value of x in the proportion x + 1/x + 3 = 15/21 |
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Answer» What is the value of x in the proportion x + 1/x + 3 = 15/21 Solution: |
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| 700. |
What are the focus and directrix of the parabola with the equation y = 1/12 x2. |
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Answer» What are the focus and directrix of the parabola with the equation y = 1/12 x2. Solution: |
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