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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.
| 1501. |
Figure ABCD is a parallelogram. What is the value of n?3, 5, 17, 25 |
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Answer» Figure ABCD is a parallelogram. What is the value of n?3, 5, 17, 25
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| 1502. |
What are the zeros of the polynomial function f(x) = x3 - x2 - 20x? |
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Answer» What are the zeros of the polynomial function f(x) = x3- x2- 20x? Solution: |
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| 1503. |
Divide x to the 1 half power divided by x to the 2 sevenths power. |
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Answer» Divide x to the 1 half power divided by x to the 2 sevenths power. Solution: |
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| 1504. |
Where does the graph of x2 - x - 2 = y cross the x-axis? |
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Answer» Where does the graph of x2- x - 2 = y cross the x-axis? Solution: |
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| 1505. |
Determine for which values of m the function Φ (x) = xm is a solution to the given equation. (A) 3x2 d2y/dx2 + 11x dy/dx - 3y = 0 (B) x2 d2y/dx2 - x dy/dx - 5y = 0 |
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Answer» Determine for which values of m the function Φ (x) = xm is a solution to the given equation. (A) 3x2 d2y/dx2 + 11x dy/dx - 3y = 0 (B) x2 d2y/dx2 - x dy/dx - 5y = 0 Solution: |
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| 1506. |
Which of the following would be an acceptable first step in simplifying the expression tanx/(1 + secx) tanx(1 - secx) / (1 + secx)(1 - secx) tanx + sinx tanx.cosx / cosx + secx None of the above |
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Answer» Which of the following would be an acceptable first step in simplifying the expression tanx/(1 + secx) Solution: |
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| 1507. |
Which of the following best defines 4 to the power of 2 over 3? Square root of 16 Cube root of 4 Square root of 4 Cube root of 16. |
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Answer» Which of the following best defines 4 to the power of 2 over 3? Solution: |
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| 1508. |
Which is the probability of rolling an odd number on a fair 6-sided number cube. 1, 1/6, 5/6, 1/2 |
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Answer» Which is the probability of rolling an odd number on a fair 6-sided number cube. Solution: |
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| 1509. |
Solve the following system of equations. 2x + y = 3 and x = 2y - 1 |
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Answer» Solve the following system of equations. 2x + y = 3 and x = 2y - 1 Solution: |
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| 1510. |
Given that the variance for a data set is 1.20, what is the standard deviation? |
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Answer» Given that the variance for a data set is 1.20, what is the standard deviation? Solution: |
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| 1511. |
Which function has two x-intercepts, one at (0, 0) and one at (4, 0)? f(x) = x(x - 4) f(x) = x(x + 4) f(x) = (x - 4)(x - 4) f(x) = (x + 4)(x + 4) |
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Answer» Which function has two x-intercepts, one at (0, 0) and one at (4, 0)? Solution: |
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| 1512. |
Find the general solution of the given second-order differential equation. y'' + 25y = 0 |
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Answer» Find the general solution of the given second-order differential equation. y'' + 25y = 0 Solution: |
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| 1513. |
The length and width of a rectangle are measured as 30 cm and 24 cm. Find its area? |
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Answer» The length and width of a rectangle are measured as 30 cm and 24 cm. Find its area? Solution: |
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| 1514. |
What is the period and phase shift for f(x) = 5 tan(2x - π)? |
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Answer» What is the period and phase shift for f(x) = 5 tan(2x - π)? Solution: |
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| 1515. |
Solve (x + 3)2 + (x + 3) - 2 = 0. Let u = Rewrite the equation in terms of u. (u2 + 3) + u - 2 = 0, u2 + u - 2 = 0, (u2 + 9) + u - 2 = 0, u2 + u + 1 = 0. Factor the equation. What are the solutions of the original equation? |
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Answer» Solve (x + 3)2+ (x + 3) - 2 = 0. Let u = Rewrite the equation in terms of u. (u2+ 3) + u - 2 = 0, u2+ u - 2 = 0, (u2+ 9) + u - 2 = 0, u2+ u + 1 = 0. Factor the equation. What are the solutions of the original equation? Solution: |
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| 1516. |
Find the equation of the line tangent to the graph of x2 - 3xy = 10 at point (1, -3) |
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Answer» Find the equation of the line tangent to the graph of x2 - 3xy = 10 at point (1, -3) Solution: |
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| 1517. |
What is the equation in point-slope form of the line passing through (0, 2) and (1, 5)? |
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Answer» What is the equation in point-slope form of the line passing through (0, 2) and (1, 5)? Solution: |
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| 1518. |
Find the number a such that the line x = a bisects the area under the curve y = 1/x2 for 1 ≤ x ≤ 4. Find the number b such that the line y = b bisects the area in part (a). |
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Answer» Find the number a such that the line x = a bisects the area under the curve y = 1/x2for 1 ≤ x ≤ 4. Find the number b such that the line y = b bisects the area in part (a). Solution: |
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| 1519. |
Find the exact real value of arcsin. the quantity square root of three divided by two. (-√3/2)? |
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Answer» Find the exact real value of arcsin. the quantity square root of three divided by two. (-√3/2)? Solution: |
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| 1520. |
Find the rectangular coordinates of the point with the polar coordinates (3, 3π/2). |
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Answer» Find the rectangular coordinates of the point with the polar coordinates (3, 3π/2). Solution: |
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| 1521. |
It's 2 pm. How many degrees are in the angle between the hour and minute hand? |
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Answer» It's 2 pm. How many degrees are in the angle between the hour and minute hand? Solution: |
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| 1522. |
A box with a square base and open top must have a volume of 32,000cm3. How do you find the dimensions of the box that minimize the amount of material used? |
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Answer» A box with a square base and open top must have a volume of 32,000cm3. How do you find the dimensions of the box that minimize the amount of material used? Solution: |
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| 1523. |
Find the number of sides in a regular polygon, if every interior angle is : (i) 160° (ii) 150° |
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Answer» Find the number of sides in a regular polygon, if its every interior angle is : (i) 160° (ii) 150° Solution: |
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| 1524. |
Melissa collected the data in the table. When x = 4, what is the residual? |
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Answer» Melissa collected the data in the table. When x = 4, what is the residual? Solution: |
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| 1525. |
If f(x) = 3x - 1 /2 and f-1 is the inverse of f, what is the value of f-1(3)? |
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Answer» If f(x) = 3x - 1 /2 and f-1is the inverse of f, what is the value of f-1(3)? Solution: |
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| 1526. |
Solve the system by the substitution method: xy = 12, x2 + y2 = 40. |
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Answer» Solve the system by the substitution method. xy = 12 and x2+ y2= 40 Solution: |
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| 1527. |
Find the point on the line y = 5x + 2 that is closest to the origin.? |
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Answer» Find the point on the line y = 5x + 2 that is closest to the origin.? Solution: |
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| 1528. |
Determine the x- and y-intercepts of the graph of x - 4y = 8 . Then plot the intercepts to graph the equation. |
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Answer» Determine the x- and y-intercepts of the graph of x -4y=8 . Then plot the intercepts to graph the equation. Solution: |
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| 1529. |
Find the exact length of the curve. y = 1 + 2x3/2, 0 ≤ x ≤ 1 |
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Answer» Find the exact length of the curve. y = 1 + 2x3/2, 0 ≤ x ≤ 1 Solution: |
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| 1530. |
Write the equation of the line that passes through (-2, 6) and (2, 14) in slope-intercept form. y = 2x - 2 y = 2x + 10 y = 0.5x + 7 y = 0.5x - 4 |
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Answer» Write the equation of the line that passes through (-2, 6) and (2, 14) in slope-intercept form. Solution: |
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| 1531. |
Find all solutions in the interval [0, 2π). tan x + sec x = 1 |
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Answer» Find all solutions in the interval [0, 2π). tan x + sec x = 1 Solution: |
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| 1532. |
Graph the six terms of a finite series where a1 = -3 and r = 1.5 |
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Answer» Graph the six terms of a finite series where a1= -3 and r = 1.5 Solution: |
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| 1533. |
Which of the following is a factor of 3xy + 3y - 5x - 5? x + 1, x2 + x + 1, x2 + 2x + 1, None of the above |
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Answer» Which of the following is a factor of 3xy + 3y - 5x - 5? Solution: |
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| 1534. |
Find the linearization l(x) of the function at a. f(x) = x3/4, a = 81 |
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Answer» Find the linearization l(x) of the function at a. f(x) = x3/4, a = 81 Solution: |
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| 1535. |
What is the solution set of 4x = y and 2x2 - y = 0? |
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Answer» What is the solution set of 4x = y and 2x2- y = 0? Solution: |
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| 1536. |
The polygons are similar, but not necessarily drawn to scale. Find the value of x. |
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Answer» The polygons are similar, but not necessarily drawn to scale. Find the value of x.
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| 1537. |
Find the measure of an angle between 0 degrees and 360 degrees co-terminal with an angle of -110 in the standard position. |
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Answer» Find the measure of an angle between 0 degrees and 360 degrees co terminal with an angle of -110 in standard position. Solution: |
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| 1538. |
What is the image of the point (17, 14) when rotated 270 degrees counterclockwise about the origin? |
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Answer» What is the image of the point (17, 14) when rotated 270 degrees counterclockwise about the origin? Solution: |
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| 1539. |
Factor x3+ x2+ x + 1 by grouping. What is the resulting expression? |
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Answer» Factor x3+ x2+ x + 1 by grouping. What is the resulting expression? Solution: |
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| 1540. |
What is the value of x when 2x + 3 = 3x - 4? |
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Answer» What is the value of x when 2x + 3 = 3x - 4? Solution: |
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| 1541. |
According to the Rational Root Theorem, -7/8 is a potential rational root of which function? A) f(x) = 24x7 + 3x6 + 4x3-x -28 B) f(x) = 28x7 + 3x6 + 4x3-x -24 C) f(x) = 30x7 + 3x6 + 4x3-x -56 D) f(x) = 56x7 + 3x6 + 4x3-x -30 |
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Answer» According to the Rational Root Theorem, -7/8 is a potential rational root of which function? Solution: |
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| 1542. |
Write an equation for the translation of y = 6/x that has the asymptotes x = 4 and y = 5 |
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Answer» Write an equation for the translation of y = 6/x that has the asymptotes x = 4 and y = 5 Solution: |
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| 1543. |
What is the volume of a cube-shaped box with edges 6 centimeters in length? |
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Answer» What is the volume of a cube-shaped box with edges 6 centimeters in length? Solution: |
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| 1544. |
What are the sine, cosine, and tangent of θ = 3 pi over 4 radians? |
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Answer» What are the sine, cosine, and tangent of θ = 3 pi over 4 radians? Solution: |
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| 1545. |
Find the unit tangent vector T(t ) at the point with the given value of the parameter t. r(t) = (t2 - 2t,1 + 3t, 1/3t3 + 1/2t2), t = 2 |
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Answer» Find the unit tangent vector T(t ) at the point with the given value of the parameter t. r(t) = (t2 - 2t,1 + 3t, 1/3t3+ 1/2t2), t = 2 Solution: |
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| 1546. |
Write the following expression as a single logarithm with coefficient 1. log3(6c) + log31/12 |
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Answer» Write the following expression as a single logarithm with coefficient 1. log3(6c) + log31/12 Solution: |
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| 1547. |
What is the x value such that y =15 - 3x and y = 0? |
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Answer» What is the x value such that y =15 - 3x and y = 0? Solution: |
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| 1548. |
If cos θ = -4/7, what are the values of sin θ and tan θ? |
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Answer» If cos θ = -4/7, what are the values of sin θ and tan θ? Solution: |
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| 1549. |
For what value of the constant c is the function f continuous on (-∞, ∞)? f(x) = {cx2+ 2x/x2- 1 if x < 2 and x3- cx if x >= 2 |
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Answer» For what value of the constant c is the function f continuous on (-∞, ∞)? f(x) = {cx2+ 2x/x2- 1 if x < 2 and x3- cx if x >= 2 Solution: |
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| 1550. |
Evaluate the integral. (use c for the constant of integration.) x2/ √49 - x2 dx . |
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Answer» Evaluate the integral. (use c for the constant of integration.) x2/ √49 - x2dx . Solution: |
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