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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.
| 501. |
What is the perimeter of a rhombus-shaped highway sign with a 20-centimeter side? |
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Answer» What is the perimeter of a rhombus-shaped highway sign with a 20-centimeter side? Solution: |
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| 502. |
Find the lengths of the missing sides in the triangle. Write your answers as integers or as decimals rounded to the nearest tenth. |
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Answer» Find the lengths of the missing sides in the triangle. Write your answers as integers or as decimals rounded to the nearest tenth. Solution: |
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| 503. |
Given f(x) = x2 + 12x + 26 . Write the quadratic function in vertex form. |
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Answer» Given f(x) = x2 + 12x + 26 . Write the quadratic function in vertex form. Solution: |
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| 504. |
Find the 30th term of the following sequence. 1, 7, 13, 19, … |
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Answer» Find the 30th term of the following sequence. 1, 7, 13, 19, … Solution: |
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| 505. |
Which of the following is a factor of 12x2 - 4x - 1? |
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Answer» Which of the following is a factor of 12x2 - 4x - 1? Solution: |
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| 506. |
Find the equation of a sphere if one of its diameters has endpoints: (-6, 4, 0) and (0, 0, 6) |
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Answer» Find the equation of a sphere if one of its diameters has endpoints: (-6, 4, 0) and (0, 0, 6) Solution: |
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| 507. |
The position of a particle moving along a line is given by s(t) = 2t3 - 24t2 + 90t + 7 for t ≥ 0. For what values of t is the speed of the particle increasing. |
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Answer» The position of a particle moving along a line is given by s(t) = 2t3 - 24t2 + 90t + 7 for t ≥ 0. For what values of t is the speed of the particle increasing. Solution: |
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| 508. |
Find the point on the line y = 2x + 1 that is closest to (5, 2) |
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Answer» Find the point on the line y = 2x + 1 that is closest to (5, 2) Solution: |
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| 509. |
Complete the square to write the equation of the sphere in standard form. Find the center and radius. x² + y² + z² - 2x + 6y + 8z + 1 = 0 |
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Answer» Complete the square to write the equation of the sphere in standard form. Find the center and radius. x² + y² + z² - 2x + 6y + 8z + 1 = 0 Solution: |
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| 510. |
What is a simpler form of the radical expression 4 sqrt 1296 x16y12 |
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Answer» What is a simpler form of the radical expression 4 sqrt 1296 x16y12 Solution: |
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| 511. |
Which of the following is a solution of x2 - 10x = -36? |
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Answer» Which of the following is a solution of x2 - 10x = -36? Solution: |
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| 512. |
How many solutions does the following equation have? |6x + 12| = -18 |
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Answer» How many solutions does the following equation have? |6x + 12| = -18 Solution: |
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| 513. |
Find the sum of the arithmetic sequence. 5, 7, 9, 11,..., 23 |
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Answer» Find the sum of the arithmetic sequence. 5, 7, 9, 11,..., 23 Solution: |
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| 514. |
Find the derivative of f(x) = 5x + 9 at x = 2. |
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Answer» Find the derivative of f(x) = 5x + 9 at x = 2. Solution: |
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| 515. |
What is the factored form of the polynomial z2 - 10z + 25? |
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Answer» What is the factored form of the polynomial z2 - 10z + 25? Solution: |
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| 516. |
What are the real zeros of x3 + 4x2 - 9x - 36? |
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Answer» What are the real zeros of x3 + 4x2 - 9x - 36? Solution: |
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| 517. |
Which of the following is a solution of x2 + 4x + 10? |
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Answer» Which of the following is a solution of x2 + 4x + 10? Solution: |
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| 518. |
Which expression is a factor of 3ab - 6a + 4b - 8? |
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Answer» Which expression is a factor of 3ab - 6a + 4b - 8? Solution: |
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| 519. |
Which explicit formula generates the infinite sequence 2, 9, 28, 65, 126, ...? |
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Answer» Which explicit formula generates the infinite sequence 2, 9, 28, 65, 126, ...? Solution: |
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| 520. |
Find the value of x for which p is parallel to q, if m∠1 = (9x) and m∠3 = 117. |
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Answer» Find the value of x for which p is parallel to q, if m∠1 = (9x) and m∠3 = 117. Solution: |
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| 521. |
Write the equation of the given circle. center (-2, -2) radius of 6. |
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Answer» Write the equation of the given circle. center (-2, -2) radius of 6. Solution: |
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| 522. |
Find dy/dx by implicit differentiation. x2 /x + y = y2 + 5 |
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Answer» Find dy/dx by implicit differentiation. x2 /x + y = y2 + 5 Solution: |
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| 523. |
Let P(A) = 0.55, P(B) = 0.30, and P(A ? B) = 0.10 a. Calculate P(A | B). (Round your answer to 2 decimal places.) b. Calculate P(A U B). (Round your answer to 2 decimal places.) |
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Answer» Let P(A) = 0.55, P(B) = 0.30, and P(A ? B) = 0.10. a. Calculate P(A | B). (Round your answer to 2 decimal places.), b. Calculate P(A U B). (Round your answer to 2 decimal places.) Solution: |
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| 524. |
Population has a mean of 180 and a standard deviation of 24. A sample of 64 observations will be taken. the probability that the mean from that sample will be between 183 and 186 is |
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Answer» Population has a mean of 180 and a standard deviation of 24. A sample of 64 observations will be taken. the probability that the mean from that sample will be between 183 and 186 is Solution: |
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| 525. |
Find dy/dx by implicit differentiation. x2 /x + y = y2 + 9 |
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Answer» Find dy/dx by implicit differentiation. x2 /x + y = y2 + 9 Solution: |
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| 526. |
Which of the following is a solution of x2 + 2x = -2? |
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Answer» Which of the following is a solution of x2 + 2x = -2? Solution: |
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| 527. |
Find an equation equivalent to 2x + 3y = 6 in polar coordinates. |
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Answer» Find an equation equivalent to 2x + 3y = 6 in polar coordinates. Solution: |
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| 528. |
Find two numbers whose difference is 200 and whose product is a minimum. |
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Answer» Find two numbers whose difference is 200 and whose product is a minimum. Solution: |
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| 529. |
Factor 4b2 - 16? |
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Answer» Factor 4b2 - 16? Solution: |
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| 530. |
Find two numbers whose difference is 100 and whose product is a minimum. |
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Answer» Find two numbers whose difference is 100 and whose product is a minimum. Solution: |
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| 531. |
How do you find the exact values of the six trig functions of angle 120? |
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Answer» How do you find the exact values of the six trig functions of angle 120? Solution: |
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| 532. |
Given the function f(x) = 3x, find the value of f-1(81) |
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Answer» Given the function f(x) = 3x, find the value of f-1(81) Solution: |
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| 533. |
Simplify sine squared theta divided by the quantity 1 minus sine squared theta. |
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Answer» Simplify sine squared theta divided by the quantity 1 minus sine squared theta Solution: |
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| 534. |
Let u = , v = . Find -4u + 2v. |
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Answer» Let u = <-6, 1>, v = <-5, 2>. Find -4u + 2v Solution: |
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| 535. |
Factor 48x2 - 26x + 3? |
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Answer» Factor 48x2 - 26x + 3? Solution: |
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| 536. |
Use the information provided to write the standard form equation of each circle Center (1, 2) points on Circle (10, 1) |
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Answer» Use the information provided to write the standard form equation of each circle Center (1, 2) points on Circle (10, 1) Solution: |
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| 537. |
Let f(x) = -3x - 4 and g(x) = 2x - 6. Find f(x - 1). |
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Answer» Let f(x) = -3x - 4 and g(x) = 2x - 6. Find f(x - 1) Solution: |
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| 538. |
Find the equation in slope - intercept form, of the line passing through the points (-1, 2) and (3, -4). |
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Answer» Find the equation in slope - intercept form, of the line passing through the points (-1, 2) and (3, -4). Solution: |
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| 539. |
The circumference of the circle is increasing at a rate of 0.5 meters per minute. What's the rate of change of the area of the circle when the radius is 4 meters? |
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Answer» The circumference of the circle is increasing at a rate of 0.5 meters per minute. What's the rate of change of the area of the circle when the radius is 4 meters? Solution: |
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| 540. |
How many solutions does sin(x) = 0.01sin(x) have in the interval [0, 2π)? |
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Answer» How many solutions does sin(x) = 0.01sin(x) have in the interval [0, 2π)? Solution: |
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| 541. |
Write an equation of a line that is perpendicular to the line y = 2/3x + 5. |
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Answer» Write an equation of a line that is perpendicular to the line y = 2/3x + 5. Solution: |
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| 542. |
Factor 15x2 - 14x - 8? |
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Answer» Factor 15x2 - 14x - 8? Solution: |
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| 543. |
Factor 6x2 + 2x - 21? |
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Answer» Factor 6x2 + 2x - 21 Solution: |
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| 544. |
Simplify the following expression: 2x - 4y + 3x2 + 7y - 16x. |
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Answer» Simplify the following expression: 2x - 4y + 3x2 + 7y - 16x Solution: |
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| 545. |
Factor 32x3 + 4? |
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Answer» Factor 32x3 + 4 Solution: |
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| 546. |
What is the product of the radical expression (7 - sqrt 7)(-6 + sqrt 7). |
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Answer» What is the product of the radical expression (7 - sqrt 7)(-6 + sqrt 7). Solution: |
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| 547. |
Simplify the rational expression. State any restrictions on the variable. t2- 4t - 32/ t - 8 |
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Answer» Simplify the rational expression. State any restrictions on the variable. t2- 4t - 32/ t - 8 Solution: |
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| 548. |
Which statement best describes how to determine whether f(x) = 9 - 4x2is an odd function? |
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Answer» Which statement best describes how to determine whether f(x) = 9 - 4x2is an odd function? Solution: |
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| 549. |
Which statement about 6x2 + 7x - 10 is true? One of the factors is (x + 3) One of the factors is (x + 1) One of the factors is (x + 2) One of the factors is (x - 2) |
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Answer» Which statement about 6x2 + 7x - 10 is true? Solution: |
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| 550. |
Which shape has four congruent sides and two sets of parallel sides? |
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Answer» Which shape has four congruent sides and two sets of parallel sides? Solution: |
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