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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.
| 1651. |
Solve the triangle. B = 36°, a = 41, c = 17 |
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Answer» Solve the triangle. B = 36°, a = 41, c = 17 Solution: |
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| 1652. |
For what real numbers x is the value of x2 - 6x + 9 negative |
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Answer» For what real numbers x is the value of x2- 6x + 9 negative Solution: |
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| 1653. |
Find the value of z subscript alpha divided by 2 (Zα/2) that corresponds to a confidence level of 89.48%. |
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Answer» Find the value of z subscript alpha divided by 2 (Zα/2)that corresponds to a confidence level of 89.48%. Solution: |
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| 1654. |
The oblique prism has a rectangular base with a width of 10 units and a length of 13 units. The top base extends 8 units to the right of the bottom base. What is the volume of the prism? 1,040 cubic units; 1,360 cubic units; 1,950 cubic units; 2,210 cubic units |
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Answer» The oblique prism has a rectangular base with a width of 10 units and a length of 13 units. The top base extends 8 units to the right of the bottom base. What is the volume of the prism? 1,040 cubic units 1,360 cubic units 1,950 cubic units 2,210 cubic units Solution: |
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| 1655. |
What is the value of b2 - 4ac for the following equation? 5x2 + 7x = 6 |
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Answer» What is the value of b2- 4ac for the following equation? 5x2+ 7x = 6 Solution: |
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| 1656. |
What is an equation of a parabola with the given vertex (-2, 5) and focus (-2, 6) |
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Answer» What is an equation of a parabola with the given vertex (-2, 5) and focus (-2, 6) Solution: |
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| 1657. |
Solve the triangle. B = 36°, a = 41, c = 20 |
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Answer» Solve the triangle. B = 36°, a = 41, c = 20 Solution: |
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| 1658. |
Simplify the given expression below: (-5 + 3i).(1 - 2i) |
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Answer» Simplify the given expression below: (-5 + 3i).(1 - 2i) Solution: |
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| 1659. |
Solve the equation 6(2x + 4)2 = (2x + 4) + 2. |
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Answer» Solve the equation 6(2x + 4)2= (2x + 4) + 2. Solution: |
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| 1660. |
The vertices of a triangle are a(7, 5), b(4, 2), and c(9, 2). what is m∠abc? |
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Answer» The vertices of a triangle are a(7, 5), b(4, 2), and c(9, 2). what is m∠abc? Solution: |
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| 1661. |
What is the additive identity of the complex number 14 + 5i? 14 - 5i, 0, 1, -14 - 5i |
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Answer» What is the additive identity of the complex number 14 + 5i? Solution: |
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| 1662. |
Solve the equation. -x + 8 + 3x = x - 6 x = - 18,x = - 14,x = 2,x = 4 |
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Answer» Solve the equation. -x + 8 + 3x = x - 6 Solution: |
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| 1663. |
Simplify the expression 2√20 - 3√7 - 2√5 + 4√63. |
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Answer» Simplify the expression 2√20 - 3√7 - 2√5 + 4√63. Solution: |
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| 1664. |
Solve and graph the absolute value inequality: |2x + 4| > 8. |
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Answer» Solve and graph the absolute value inequality: |2x + 4| > 8. Solution: |
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| 1665. |
Solve the equation. -3x + 1 + 10x = x + 4 x = 1/2, x = 5/6, x = 12, x = 18 |
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Answer» Solve the equation. -3x + 1 + 10x = x + 4 x = 1/2, x = 5/6, x = 12, x = 18 Solution: |
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| 1666. |
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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| 1667. |
Use the property of integrals to estimate the best possible bounds of the integral∫∫τ 9 sin(x + y) dA, where T is a triangle enclosed by y = 0, y = 5x andx = 4. |
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Answer» Use the property of integrals to estimate the best possible bounds of the integral∫∫τ 9 sin(x + y) dA, where T is a triangle enclosed by y = 0, y = 5x andx = 4. Solution: |
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| 1668. |
What are the zeros of the polynomial function f(x) = x3 - 10x2 + 24x? |
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Answer» What are the zeros of the polynomial function f(x) = x3- 10x2+ 24x? Solution: |
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| 1669. |
What are the zeros of the polynomial function f(x) = x3 - 2x2 - 24x? |
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Answer» What are the zeros of the polynomial function f(x) = x3- 2x2- 24x? Solution: |
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| 1670. |
A regular hexagon has sides of 2 feet. What is the area of the hexagon? |
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Answer» A regular hexagon has sides of 2 feet. What is the area of the hexagon? Solution: |
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| 1671. |
What is the image of (1, -6) for a 90° counterclockwise rotation about the origin? |
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Answer» What is the image of (1, -6) for a 90° counterclockwise rotation about the origin? Solution: |
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| 1672. |
Find two unit vectors orthogonal to both 3, 5, 1 and -1, 1, 0 . |
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Answer» Find two unit vectors orthogonal to both 3, 5, 1 and -1, 1, 0 . Solution: |
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| 1673. |
Given f(x) = the quantity of x plus 4, divided by 6, solve for f-1(7). |
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Answer» Given f(x) = the quantity of x plus 4, divided by 6, solve for f-1(7). Solution: |
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| 1674. |
Given y = (2x + 3)2, choose the standard form of the given quadratic equation. |
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Answer» Given y = (2x + 3)2, choose the standard form of the given quadratic equation. Solution: |
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| 1675. |
Simplify cos2θ(1 + tan2θ). |
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Answer» Simplify cos2θ(1 + tan2θ). Solution: |
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| 1676. |
The sum of the roots of 3x2 + 11x - 4 = 0 is |
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Answer» The sum of the roots of 3x2+ 11x - 4 = 0 is Solution: |
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| 1677. |
ABC ~ ADEAC = 4, AE = 7, AD = 10, what is the length of AB? |
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Answer» AC = 4, AE = 7, AD = 10, what is the length of AB?
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| 1678. |
Find the diagonal of a square whose sides are of the given measure. given =3 square root of 2 |
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Answer» Find the diagonal of a square whose sides are of the given measure. given =3 square root of 2 Solution: |
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| 1679. |
Find the value of the greater root of x2 - 13x + 12 = 0. |
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Answer» Find the value of the greater root of x2- 13x + 12 = 0. Solution: |
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| 1680. |
How many solutions exist for the given equation? (x + 12) = 4x - 1 |
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Answer» How many solutions exist for the given equation? (x + 12) = 4x - 1 Solution: |
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| 1681. |
Determine whether the series \(\sum_{n=1}^{\infty }\frac{1}{(n^{2}+5n+6)}\) is convergent or divergent. If it is convergent, find its sum. |
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Answer» Determine whether the series \(\sum_{n=1}^{\infty }\frac{1}{(n^{2}+5n+6)}\) is convergent or divergent. If it is convergent, find its sum. Solution: |
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| 1682. |
In the figure, RQS QLK. What is the value of x? 36, 72, 108, 144 |
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Answer» In the figure, RQS QLK. What is the value of x?
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| 1683. |
Kite FGHK is shown. What is the value of m? |
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Answer» Kite FGHK is shown. What is the value of m?
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| 1684. |
What is the relationship between the graphs of y = 2x and y = 2 - x? Reflections over y = x Reflections over the y-axis Reflections over the x-axis |
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Answer» What is the relationship between the graphs of y = 2x and y = 2 - x? Solution: |
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| 1685. |
Which statement is true about f(x) = -6|x + 5| - 2? The graph of f(x) is horizontally compressed. The graph of f(x) is horizontally stretched. The graph of f(x) opens upward. The graph of f(x) opens to the right. |
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Answer» Which statement is true about f(x) = -6|x + 5| - 2? Solution: |
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| 1686. |
Find m∠1 and m∠3 in the kite. The diagram is not drawn to scale. |
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Answer» Find m∠1 and m∠3 in the kite. The diagram is not drawn to scale.
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| 1687. |
Find the point on the plane 2x - y + 2z = 20 nearest the origin. |
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Answer» Find the point on the plane 2x - y + 2z = 20 nearest the origin. Solution: |
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| 1688. |
What is the use of the best fit line? |
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Answer» What is the use of the best fit line? Solution: |
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| 1689. |
The image of the point (1, -2) after a rotation of 180° about the origin is |
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Answer» The image of the point (1, -2) after a rotation of 180° about the origin is Solution: |
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| 1690. |
g(x) = 3x + 1 |
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Answer» Based on the tables, what is the solution to the equation 2(3)x= 3x+ 1? Solution: |
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| 1691. |
Based on the tables, what is the solution to the equation 2(3)x = 3x + 1? f(x) = 2(3)x |
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Answer» Based on the tables, what is the solution to the equation 2(3)x= 3x+ 1? Solution: |
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| 1692. |
Given an exponential function for compounding interest, a(x) = p(.77)x, what is the rate of change? |
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Answer» Given an exponential function for compounding interest, a(x) = p(.77)x, what is the rate of change? Solution: |
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| 1693. |
If a and b are independent events with p(a) = .1 and p(b) = .4, then what is P(A ∩ B)? |
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Answer» If a and b are independent events with p(a) = .1 and p(b) = .4, then what is P(A ∩ B)? Solution: |
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| 1694. |
If f(x) = 3x - 6/x - 2 what is the average rate of change of f(x) over the interval [6, 8]? |
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Answer» If f(x) = 3x - 6/x - 2 what is the average rate of change of f(x) over the interval [6, 8]? Solution: |
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| 1695. |
Given an exponential function for compounding interest, a(x) = p(.95)x, what is the rate of change? |
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Answer» Given an exponential function for compounding interest, a(x) = p(.95)x, what is the rate of change? Solution: |
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| 1696. |
What is the sum of the first 10 terms of the sequence defined by an = 2n - 3 |
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Answer» What is the sum of the first 10 terms of the sequence defined by an= 2n - 3 Solution: |
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| 1697. |
-81, 108, -144, 192, ... which formula can be used to describe the sequence? |
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Answer» -81, 108, -144, 192, ... which formula can be used to describe the sequence? Solution: |
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| 1698. |
If f(x) = x3 and g(x) = (x + 1)3, which is the graph of g(x)? |
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Answer» If f(x) = x3and g(x) = (x + 1)3, which is the graph of g(x)? Solution: |
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| 1699. |
What is the distance between (-6, 2) and (8, 10) on a coordinate grid? |
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Answer» What is the distance between (-6, 2) and (8, 10) on a coordinate grid? Solution: |
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| 1700. |
Write the complex number in the form a + bi. 6(cos 330° + i sin 330°) |
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Answer» Write the complex number in the form a + bi. 6(cos 330° + i sin 330°) Solution: |
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