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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.
| 1401. |
What is the equation in the standard form of a parabola that contains the following points (-2, 18), (0, 2), (4, 42)? |
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Answer» What is the equation in the standard form of a parabola that contains the following points (-2, 18), (0, 2), (4, 42)? Solution: |
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| 1402. |
In the equation q - 12 = 89, what is the value of q? |
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Answer» In the equation q - 12 = 89, what is the value of q? Solution: |
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| 1403. |
Find a polar equation for the curve represented by the given Cartesian equation x2 + y2 = 2cx |
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Answer» Find a polar equation for the curve represented by the given Cartesian equation x2 + y2 = 2cx Solution: |
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| 1404. |
Draw the graph of the function y = f (x) = 2/x between x = 1/2 and x = 4. |
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Answer» Draw the graph of the function y = f (x) = 2/x between x = 1/2 and x = 4. Solution: |
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| 1405. |
The top of a ladder slides down a vertical wall at a rate of 0.15 m/s. At the moment when the bottom of the ladder is 3 m from the wall, it slides away from the wall at a rate of 0.2 m/s. How long is the ladder? |
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Answer» The top of a ladder slides down a vertical wall at a rate of 0.15 m/s. At the moment when the bottom of the ladder is 3 m from the wall, it slides away from the wall at a rate of 0.2 m/s. How long is the ladder? Solution: |
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| 1406. |
Convert 145.0 mm to meters and express the answer to the correct number of significant digits. |
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Answer» Convert 145.0 mm to meters and express the answer to the correct number of significant digits. Solution: |
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| 1407. |
For what value of x is sin x = cos 19°, where 0°< x < 90°? |
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Answer» For what value of x is sin x = cos 19°, where 0°< x < 90°? Solution: |
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| 1408. |
What is the sum of the arithmetic sequence 3, 9, 15..., if there are 26 terms? |
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Answer» What is the sum of the arithmetic sequence 3, 9, 15..., if there are 26 terms? Solution: |
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| 1409. |
Find the values of the 30th and 90th percentiles of the data. 129, 113, 200, 100, 105, 132, 100, 176, 146, 152 |
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Answer» Find the values of the 30th and 90th percentiles of the data. 129, 113, 200, 100, 105, 132, 100, 176, 146, 152 Solution: |
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| 1410. |
The point p(18, 24) is on the terminal side of θ. Evaluate sin θ |
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Answer» The point p(18, 24) is on the terminal side of θ. Evaluate sin θ Solution: |
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| 1411. |
Raj is visiting the United States and needs to convert 2,000 rupees to US dollars. |
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Answer» Raj is visiting the United States and needs to convert 2,000 rupees to US dollars. Solution: |
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| 1412. |
Write the area a of a square as a function of its perimeter p. |
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Answer» Write the area a of a square as a function of its perimeter p. Solution: |
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| 1413. |
What is the remainder when (x4 + 36) is divided by (x2 - 8)? 36,64,100,117 |
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Answer» What is the remainder when (x4 + 36) is divided by (x2 - 8)? Solution: |
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| 1414. |
A polyhedron has 5 faces and 5 vertices. How many edges does it have? |
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Answer» A polyhedron has 5 faces and 5 vertices. How many edges does it have? Solution: |
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| 1415. |
What polynomial identity should be used to prove that 19 = 27 - 8? Difference of Cubes Difference of Squares Square of Binomial Sum of Cubes |
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Answer» What polynomial identity should be used to prove that 19 = 27 - 8? Solution: |
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| 1416. |
What is the median of 26, 30, 24, 32, 32, 31, 27, and 29? |
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Answer» What is the median of 26, 30, 24, 32, 32, 31, 27, and 29? Solution: |
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| 1417. |
DB is a diameter of circle O. If mACB = 30°, what is the mDBA? |
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Answer» DB is a diameter of circle O. If mACB = 30°, what is the mDBA? Solution: |
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| 1418. |
Find dy/dx by implicit differentiation. x2 − 4xy + y2 = 4 |
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Answer» The value of dy/dx by implicit differentiation of the expression x2− 4xy + y2= 4 is (x - 2y) / (2x - y). Implicit differentiation is the process of differentiating or finding the derivativeof the expression with respect to one of the variables and keeping the rest as constants. |
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| 1419. |
How do the graphs of the functions f(x) = (3/2)x and g(x) = (2/3)x compare? |
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Answer» How do the graphs of the functions f(x) = (3/2)xand g(x) = (2/3)xcompare? Solution: |
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| 1420. |
Find the slope of the line whose equation is 5y = x - 3. |
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Answer» Find the slope of the line whose equation is 5y = x - 3. Solution: |
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| 1421. |
How many 3-digit positive integers are odd and do not contain the digit 5 ? |
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Answer» How many 3-digit positive integers are odd and do not contain the digit 5 ? Solution: |
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| 1422. |
Rewrite f(x) = -(x + 3)2 - 1 from vertex form to standard form. |
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Answer» Rewrite f(x) = -(x + 3)2 - 1 from vertex form to standard form. Solution: |
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| 1423. |
Which equation is equivalent to -k + 0.03 + 1.01k = -2.45 - 1.81k? -100k + 3 + 101k = -245 - 181k -100k + 300 + 101k = -245 - 181k -k + 3 + 101k = -245 - 181k -k + 300 + 101k = -245 - 181k |
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Answer» Which equation is equivalent to -k + 0.03 + 1.01k = -2.45 - 1.81k? Solution: |
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| 1424. |
Prove that angle ABD is congruent to angle ACD? |
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Answer» Prove that angle ABD is congruent to angle ACD?
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| 1425. |
Identify the transformation that maps the regular hexagon with a center (-7, 3.5) onto itself Rotate 90° clockwise about (-7, 3.5) and reflect across the line x = -7 Rotate 90° clockwise about (-7, 3.5) and reflect across the line y = 3.5 Rotate 120° clockwise about (-7, 3.5) and reflect across the line x = -5 Rotate 120° clockwise about (-7, 3.5) and reflect across the line x = -7 |
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Answer» Identify the transformation that maps the regular hexagon with a center (-7, 3.5) onto itself
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| 1426. |
What is the completely factored form of 3x5 - 7x4 + 6x2 - 14x? |
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Answer» What is the completely factored form of 3x5 - 7x4 + 6x2 - 14x? Solution: |
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| 1427. |
Divide 5a2 + 6a - 9 into 25a4 + 19a2 - a - 78. |
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Answer» Divide 5a2+ 6a - 9 into 25a4+ 19a2- a - 78. Solution: |
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| 1428. |
What is the greatest common factor of 4xy2 and 20x2y4? |
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Answer» What is the greatest common factor of 4xy2 and 20x2y4? Solution: |
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| 1429. |
Which of the following is the greatest common factor of the terms 48s5t3u2 and 40s3tu4? |
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Answer» Which of the following is the greatest common factor of the terms 48s5t3u2and 40s3tu4? Solution: |
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| 1430. |
Find a positive angle less than 2pi that is coterminal with the given angle A.425 degrees B. 27π/4 |
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Answer» Find a positive angle less than 2pi that is coterminal with the given angle A.425 degrees B. 27π/4 Solution: |
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| 1431. |
In how many different ways can a true-false test consisting of 9 questions be answered? |
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Answer» In how many different ways can a true-false test consisting of 9 questions be answered? Solution: |
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| 1432. |
What is the value of x? 12 units, 15 units, 20 units, 24 units |
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Answer» What is the value of x?
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| 1433. |
Change the fraction 7/12 to a decimal. Round your answer to the nearest thousandth. |
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Answer» Change the fraction 7/12 to a decimal. Round your answer to the nearest thousandth. Solution: |
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| 1434. |
For what value of g does the function f(g) = g2 + 3g equal 18? |
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Answer» For what value of g does the function f(g) = g2+ 3g equal 18? Solution: |
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| 1435. |
What is the solution set of x2 + 5x - 5 = 0? |
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Answer» What is the solution set of x2+ 5x - 5 = 0? Solution: |
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| 1436. |
What are the zeros of polynomial function f(x) = x3 + 9x2 + 20x? |
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Answer» What are the zeros of polynomial function f(x) = x3 + 9x2 + 20x? Solution: |
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| 1437. |
Find the area under the curve y = 9/x3 from x = 1 to x = t. |
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Answer» Find the area under the curve y = 9/x3from x = 1 to x = t. Solution: |
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| 1438. |
A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above the ground. (a) When he is 10 feet from the base of the light, at what rate is the tip of his shadow moving? (b) When he is 10 feet from the base of the light, at what rate is the length of his shadow changing? |
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Answer» A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above the ground. (a) When he is 10 feet from the base of the light, at what rate is the tip of his shadow moving? (b) When he is 10 feet from the base of the light, at what rate is the length of his shadow changing? Solution: |
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| 1439. |
Based on the graph below, what is the solution to the equation f(x) = g(x)? |
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Answer» Based on the graph below, what is the solution to the equation f(x) = g(x)?
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| 1440. |
Let f(x) = twenty four over the quantity of 3 x minus two. Find f(-2). |
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Answer» Let f(x) = twenty four over the quantity of 3 x minus two. Find f(-2). Solution: |
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| 1441. |
Which set of ordered pairs has point symmetry with respect to the origin (0, 0)? (5, 4), (-5, 4) (5, 4), (-5, -4) (5, 4), (5, -4) (5, 4), (4, 5) |
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Answer» Which set of ordered pairs has point symmetry with respect to the origin (0, 0)? Solution: |
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| 1442. |
A radio station has a broadcast area in the shape of a circle with equation x2+ y2= 5,625, where the constant represents square miles. Graph the equation and state the radius in miles. What is the area of the region in which the broadcast from the station can be picked up? |
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Answer» A radio station has a broadcast area in the shape of a circle with equation x2 + y2 = 5,625, where the constant represents square miles. Graph the equation and state the radius in miles. What is the area of the region in which the broadcast from the station can be picked up? Solution: |
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| 1443. |
Determine the points at which the graph of the function has a horizontal tangent line. f(x) = x2 / x - 8? |
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Answer» Determine the points at which the graph of the function has a horizontal tangent line. f(x) = x2/ x - 8? Solution: |
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| 1444. |
At what values of x does f(x) = x4 - 8x2 have a relative minimum |
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Answer» At what values of x does f(x) = x4 - 8x2 have a relative minimum Solution: |
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| 1445. |
Solve for x and y. 2x + 3y = 23; 3x - y = 7 |
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Answer» Solve for x and y. 2x + 3y = 23; 3x - y = 7 Solution: |
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| 1446. |
Write the first five terms of the sequence an = 3n + 1. |
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Answer» Write the first five terms of the sequence an = 3n + 1. Solution: |
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| 1447. |
Combine like terms. (-3y2 - 7y - 9) - (4y2 + 6y + 9) |
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Answer» Combine like terms. (-3y2- 7y - 9) - (4y2+ 6y + 9) Solution: |
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| 1448. |
Which ordered pair represents the x-intercept for the linear equation, 3y + 4x = 8? |
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Answer» Which ordered pair represents the x-intercept for the linear equation, 3y + 4x = 8? Solution: |
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| 1449. |
Find the equation of the tangent line to the curve at the given point. y = 5x - 2√x, (1, 3). |
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Answer» Find the equation of the tangent line to the curve at the given point. y = 5x - 2√x, (1, 3). Solution: |
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| 1450. |
Solve the system by graphing or using a table 2x + 4y = 12 and x + y = 2 |
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Answer» Solve the system by graphing or using a table 2x + 4y = 12 and x + y = 2 Solution: |
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