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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.
| 2351. |
Given 4c + 5 = 0 and c is a real number, what is the multiplicative inverse of 4c + 5? |
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Answer» Given 4c +5 = 0 and c is a real number, what is the multiplicative inverse of 4c + 5? Solution: |
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| 2352. |
What is the 6th term of the geometric sequence where a1 = 128 and a3 = 8? |
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Answer» What is the 6th term of the geometric sequence where a1 = 128 and a3 = 8? Solution: |
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| 2353. |
Which axiom would justify the following conclusion? If x + 4 = 12, then x = 8. |
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Answer» Which axiom would justify the following conclusion? If x + 4 = 12, then x = 8. Solution: |
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| 2354. |
Find an expression for cos 3x in terms of cos x? |
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Answer» The expression for cos 3x in terms of cosx is 4 cos3x - 3 cos x. To find an expression for cos 3x in terms of cos x, we will use trigonometric identities. |
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| 2355. |
Suppose that an ordinary deck of 52 cards (which contains 4 aces) is randomly divided into 4 hands of 13 cards each. We are interested in determining p, the probability that each hand has an ace. Let Ei be the event that the ith hand has exactly one ace. Determine p = P(E1E2E3E4) by using the multiplication rule. |
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Answer» Suppose that an ordinary deck of 52 cards (which contains 4 aces) is randomly divided into 4 hands of 13 cards each. We are interested in determining p, the probability that each hand has an ace. Let Ei be the event that the ith hand has exactly one ace. Determine p = P(E1E2E3E4) by using the multiplication rule. Solution: |
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| 2356. |
What is the x-intercept of the graph of the function f(x) = x2 -16x+64? |
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Answer» What is the x-intercept of the graph of the function f(x) = x2 -16x+64? Solution: |
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| 2357. |
What is the x-intercept of the line with the equation 4x + 2y = 12? |
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Answer» What is the x-intercept of the line with the equation 4x + 2y = 12? Solution: |
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| 2358. |
How many ways can a committee of 4 be selected from a club with 12 members? |
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Answer» How many ways can a committee of 4 be selected from a club with 12 members? Solution: |
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| 2359. |
Given the arithmetic sequence an = 2 - 5(n + 1), what is the domain for n? All real numbers All integers where n ≥ 1 All integers where n > 1 All integers where n ≥ 2 |
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Answer» Given the arithmetic sequence an = 2 - 5(n + 1), what is the domain for n? Solution: |
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| 2360. |
If the line tangent to the graph of the function f at the point (1, 7) also passes through the point(-2, -2), then what is the value of f'(1)? |
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Answer» If the line tangent to the graph of the function f at the point (1, 7) also passes through the point(-2, -2), then what is the value of f'(1)? Solution: |
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| 2361. |
The area of the trapezoid is 40 square units. What is the height of the trapezoid? |
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Answer» The area of the trapezoid is 40 square units. What is the height of the trapezoid?
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| 2362. |
Given the arithmetic sequence an = -4 + 4(n - 1), what is the domain for n? All integers All integers where n ≥ 0 All integers where n ≥ 1 All integers where n > 1 |
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Answer» Given the arithmetic sequence an = -4 + 4(n - 1), what is the domain for n? Solution: |
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| 2363. |
Solve the system of equations. y = 2x2 - 3, y = -3x - 1 |
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Answer» Solve the system of equations. y = 2x2- 3, y = -3x - 1 Solution: |
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| 2364. |
Line AB contains points A (8, -4) and B (1, -5). The slope of line AB is -7, -1/7, 1/7, 7 |
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Answer» Line AB contains points A (8, -4) and B (1, -5). The slope of line AB is Solution: |
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| 2365. |
What is the 32nd term of the arithmetic sequence where a1 = -32 and a9 = -120? -384, -373, -362, -351 |
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Answer» What is the 32nd term of the arithmetic sequence where a1 = -32 and a9 = -120? Solution: |
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| 2366. |
Find the numerical value of each expression. (Round your answers to five decimal places.) (a) cosh 9 (b) cosh(ln 9) |
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Answer» Find the numerical value of each expression. (Round your answers to five decimal places.) Solution: |
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| 2367. |
What is the output of the function f(p) = 3p - 2 when the input is 2? |
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Answer» What is the output of the function f(p) = 3p - 2 when the input is 2? Solution: |
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| 2368. |
If sin(A-B)=1/√10, cos(A+B) = 2/√29,find tan2A where A and B lie between 0 to piby 4. |
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Answer» If sin(A-B)=1/√10, cos(A+B) = 2/√29,find tan2A where A and B lie between 0 to piby 4. Solution: |
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| 2369. |
What is the area of a rectangle that is 8 inches wide and 12 inches long? |
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Answer» What is the area of a rectangle that is 8 inches wide and 12 inches long? Solution: |
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| 2370. |
What is the formula for the volume of a rectangular prism? |
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Answer» The volume of arectangular prism is length ×width ×height or (l × w × h). A rectangular prism is a 3-dsolidgeometric shape that hassix faces, and all the faces of the prism are rectangles. |
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| 2371. |
What’s the present value of a $900 annuity payment over five years if interest rates are 8 percent? |
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Answer» What’s the present value of a $900 annuity payment over five years if interest rates are 8 percent? Solution: |
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| 2372. |
What should be the next number in the following series? 3, 6, 4, 7, 5, 8,…? |
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Answer» What should be the next number in the following series? 3, 6, 4, 7, 5, 8,…? Solution: |
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| 2373. |
What is the sum of the geometric sequence 3, 15, 75, … if there are 8 terms? |
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Answer» What is the sum of the geometric sequence 3, 15, 75, … if there are 8 terms? Solution: |
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| 2374. |
What is the sum of the arithmetic sequence 8, 15, 22 …, if there are 26 terms? |
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Answer» What is the sum of the arithmetic sequence 8, 15, 22 …, if there are 26 terms? Solution:\ |
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| 2375. |
What is the equation in point-slope form of the line passing through (-2, 1) and (4, 13)? y - 1 = -2(x - 4) y - 1 = 2(x + 2) y - 13 = -2(x + 2) y - 13 = 2(x + 4) |
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Answer» What is the equation in point-slope form of the line passing through (-2, 1) and (4, 13)? Solution: |
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| 2376. |
The length of a rectangle is twice its width. The perimeter is 60 ft. How do you find its area? |
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Answer» The length of a rectangle is twice its width. The perimeter is 60 ft. How do you find its area? Solution: |
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| 2377. |
Differentiate with respect to t. y = a cos(t) + t2sin(t) |
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Answer» Differentiate with respect to t. y = a cos(t) + t2sin(t) Solution: |
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| 2378. |
What are the roots of the quadratic function f(q) = q2 - 125? |
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Answer» What are the roots of the quadratic function f(q) = q2 - 125? Solution: |
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| 2379. |
Which are real zeroes of this function? x3 + 2x2- 9x - 18 |
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Answer» Which are real zeroes of this function? x3 + 2x2- 9x - 18 Solution: |
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| 2380. |
A coin is tossed 3 times. What is the probability of getting at least one head? |
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Answer» A coin is tossed 3 times. What is the probability of getting at least one head? Solution: |
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| 2381. |
Given the function f(x) = 5(x + 4) - 6, solve for the inverse function when x = 19. 72,1,84,68 |
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Answer» Given the function f(x) = 5(x + 4) - 6, solve for the inverse function when x = 19. Solution: |
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| 2382. |
Find the common ratio of the sequence -172 -86 -43 -21.5 |
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Answer» Find the common ratio of the sequence -172 -86 -43 -21.5 Solution: |
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| 2383. |
Choose the correct simplification of the expression (5xy5)2(y3)4. 25x2y22, 10x2y22, 25x3y14, 10x3y14 |
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Answer» Choose the correct simplification of the expression (5xy5)2(y3)4. Solution: |
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| 2384. |
What is the 7th term of the geometric sequence where a1 = -4,096 and a4 = 64? |
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Answer» What is the 7th term of the geometric sequence where a1 = -4,096 and a4 = 64? Solution: |
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| 2385. |
Choose the correct simplification of the expression (6x2y)2(y2)3. 12x4y8, 36x4y5, 36x4y8, 12x2y7 |
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Answer» Choose the correct simplification of the expression (6x2y)2(y2)3. Solution: |
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| 2386. |
What are the foci of the ellipse given by the equation 25x2 + 16y2= 400 |
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Answer» What are the foci of the ellipse given by the equation 25x2 + 16y2 = 400 Solution: |
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| 2387. |
Evaluate the indefinite integral. (use C for the constant of integration.∫ sin(t)√(1 + cos(t)) dt |
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Answer» Evaluate the indefinite integral. (use C for the constant of integration.∫sin(t)√(1 + cos(t)) dt Solution: |
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| 2388. |
Write the quadratic function in vertex form. y = x2 + 4x + 7. |
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Answer» Write the quadratic function in vertex form. y = x2 + 4x + 7. Solution: |
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| 2389. |
The equation of the hyperbola with foci (5, 0), (-5, 0) and vertices (4, 0), (-4, 0) is: |
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Answer» The equation of the hyperbola with foci (5, 0), (-5, 0) and vertices (4, 0), (-4, 0) is: Solution: |
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| 2390. |
If the tangent line to y = f(x) at (4, 3) passes through the point (0, 2), find f(4) and f' (4). |
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Answer» If the tangent line to y = f(x) at (4, 3) passes through the point (0, 2), find f(4) and f' (4). Solution: |
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| 2391. |
What is the value of x in the solution to the following system of equations? x - y = -3 x + 3y = 5 |
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Answer» What is the value of x in the solution to the following system of equations? x - y = -3 x + 3y = 5 Solution: |
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| 2392. |
Use the chain rule to find dz/dt. z = xy³ - x²y, x = t² + 1, y = t² - 1 |
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Answer» Use the chain rule to find dz/dt. z = xy³ - x²y, x = t² + 1, y = t² - 1 Solution: |
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| 2393. |
Find an equation in standard form for the hyperbola with vertices at (0, ±4) and foci at (0, ±5). |
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Answer» Find an equation in standard form for the hyperbola with vertices at (0, ±4) and foci at (0, ±5). Solution: |
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| 2394. |
Find the taylor polynomial t3(x) for the function f centered at the number f(x) = 1/ x , a = 2. |
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Answer» Find the taylor polynomial t3(x) for the function f centered at the number f(x) = 1/ x , a = 2. Solution: |
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| 2395. |
Compute Δy and dy for the given values of x and dx = Δx. (Round your answers to three decimal places.) y = 3/x, x = 4, Δx = 1 |
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Answer» Compute Δy and dy for the given values of x and dx = Δx. (Round your answers to three decimal places.) y = 3/x, x = 4, Δx = 1 Solution: |
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| 2396. |
How many solutions will this system of equations have?y = 3.5x - 3.5 and y = -3.5x + 3.5 No solution Infinite solutions One solution Two solutions |
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Answer» How many solutions will this system of equations have?y = 3.5x - 3.5 and y = -3.5x + 3.5 No solution Infinite solutions One solution Two solutions Solution: |
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| 2397. |
Line AB contains (0, 4) and (1, 6) Line CD contains points (2, 10) and (- 1, 4). Lines AB and CD are: parallel because the slopes are the same. perpendicular because the slopes are the same. parallel because the product of the slopes is - 1. perpendicular because the product of the slopes is - 1. |
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Answer» Line AB contains (0, 4) and (1, 6) Line CD contains points (2, 10) and (- 1, 4). Lines AB and CD are: parallel because the slopes are the same. perpendicular because the slopes are the same. parallel because the product of the slopes is - 1. perpendicular because the product of the slopes is - 1. Solution: |
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| 2398. |
If m(x) = x2 + 3 and n(x) = 5x + 9, which expression is equivalent to (mn)(x)? 5x3 + 9x2 + 15x + 27 25x2 + 90x + 84 x2 + 5x + 12 5x2 + 24 |
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Answer» If m(x) = x2 + 3 and n(x) = 5x + 9, which expression is equivalent to (mn)(x)? 5x3 + 9x2 + 15x + 27 25x2 + 90x + 84 x2 + 5x + 12 5x2 + 24 Solution: |
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| 2399. |
Harvey is 3 times as old as Jane. The sum of their ages is 48 years. What is the age of each? |
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Answer» Harvey is 3 times as old as Jane. The sum of their ages is 48 years. What is the age of each? Solution: |
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| 2400. |
Which point is not a solution to the linear inequality y < x + 2? (2, 3); (2, 1); (3, - 2); (- 1, 3) |
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Answer» Which point is not a solution to the linear inequality y < x + 2? (2, 3); (2, 1); (3, - 2); (- 1, 3) Solution: |
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