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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.
| 1351. |
A scatter plot with a trend line is shown below. Which equation best represents the given data? |
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Answer» A scatter plot with a trend line is shown below. Which equation best represents the given data?
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| 1352. |
Estimate the area under the graph of f(x) = 1/x from x = 1 to x = 2 using four rectangles and left endpoints. Sketch the graph of f and the rectangles. |
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Answer» Estimate the area under the graph of f(x) = 1/x from x=1 to x = 2 using four rectangles and left endpoints. Sketch the graph of f and the rectangles. Solution: |
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| 1353. |
The missing number in the series 1, 4, 27, blank, 3125 is |
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Answer» The missing number in the series 1, 4, 27, blank, 3125 is Solution: |
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| 1354. |
Given that ABC ~ EFG, if FG = 7.6 what is the length of BC? |
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Answer» Given that ABC ~ EFG, if FG = 7.6 what is the length of BC ?
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| 1355. |
Two angles are complementary. one contains 30° more than the other. find both angles. the measures of the angles are degrees. |
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Answer» Two angles are complementary. one contains 30° more than the other. find both angles. the measures of the angles are degrees. Solution: |
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| 1356. |
Simplifythe (sin θ - cos θ)2 + (sin θ + cos θ)2 |
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Answer» Simplifythe(sin θ - cos θ)2+ (sin θ + cos θ)2 Solution: |
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| 1357. |
How do you factor the expression x2+ 2x - 3? |
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Answer» How do you factor the expression x2 + 2x - 3? Solution: |
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| 1358. |
The measure of minor arc JL is 60°. What is the measure of angle JKL? |
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Answer» The measure of minor arc JL is 60°. What is the measure of angle JKL?
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| 1359. |
A line passes through (3, 7) and (6, 9). Which equation best represents the line? y = 3 over 2x + 5 y = 2 over 3x + 5 y = 3x + 2 y = 2 over 3x + 2 |
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Answer» A line passes through (3, 7) and (6, 9). Which equation best represents the line? Solution: |
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| 1360. |
If f(x) = (x - 1) / (x + 1), then find the value of f(2x). |
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Answer» If f(x) = (x - 1) / (x + 1), then find the value of f(2x). Solution: |
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| 1361. |
∫ [sin(x) + x] / [cos(x) + 1] dx = ? |
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Answer» ∫ [sin(x) + x] / [cos(x) + 1] dx = ? Solution: |
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| 1362. |
Using the rules for significant figures, what do you get when you subtract 15.54 from 508.9538? |
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Answer» Using the rules for significant figures, what do you get when you subtract 15.54 from 508.9538? Solution: |
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| 1363. |
Find the derivative of the function using the definition of derivative. g(x) = √8 - x. |
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Answer» Find the derivative of the function using the definition of derivative. g(x) = √8-x. Solution: |
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| 1364. |
Find and simplify the difference quotient f(x + h) - f(x)/h where h is not equal to zero for the following function f(x) = x2- 5. |
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Answer» Find and simplify the difference quotient f(x + h) - f(x)/h where h is not equal to zero for the following function f(x) = x2 - 5. Solution: |
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| 1365. |
The polygons are similar but not necessarily drawn to scale, find the value of x. Bigger polygon has x - 3, 8, and 16 Smaller has 2.5, 2, 4 |
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Answer» The polygons are similar but not necessarily drawn to scale, find the value of x. Bigger polygon has x - 3, 8, and 16 Smaller has 2.5, 2, 4 Solution: |
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| 1366. |
If the measure of angle qpr is 80°, what is the measure of angle qor? |
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Answer» If the measure of angle qpr is 80°, what is the measure of angle qor?
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| 1367. |
What is the derivative of log (x)? |
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Answer» What is the derivative of log (x)? Let us proceed step by step |
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| 1368. |
If 2x + y = 4 and 3x - 2y = 13, then x = ? |
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Answer» If 2x + y = 4 and 3x - 2y = 13, then x = ? Solution: |
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| 1369. |
Write the complex number in the form a + bi. 4[cos (-135°) + i sin (-135°)]. |
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Answer» Write the complex number in the form a + bi. 4[cos (-135°) + i sin (-135°)]. Solution: |
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| 1370. |
Find cot x if sin x cot x csc x = sqrt 2. |
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Answer» Find cot x if sin x cot x csc x = sqrt 2. Solution: |
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| 1371. |
In this rectangular box, EF = 16, FD = 5, and DB = 30. Find AF. |
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Answer» In this rectangular box, EF = 16, FD = 5, and DB = 30. Find AF.
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| 1372. |
Use implicit differentiation to find ∂z/∂x and ∂z/∂y. e6z = xyz |
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Answer» Use implicit differentiation to find ∂z/∂x and ∂z/∂y. e6z = xyz Solution: |
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| 1373. |
If a translation of T2, -7(x, y) is applied to ΔABC, what are the coordinates of B'? |
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Answer» If a translation of T2, -7(x, y) is applied to ΔABC, what are the coordinates of B'? Solution: |
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| 1374. |
Find the values of x for which the series converges (x + 3)n/2n |
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Answer» Find the values of x for which the series converges (x + 3)n/2n Solution : |
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| 1375. |
Find the quotient. 42j4k2 ÷ (-3j3k) |
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Answer» Find the quotient. 42j4k2 ÷ (-3j3k) Solution: |
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| 1376. |
What is the slope-intercept form of the linear equation 2x - 8y = 32? |
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Answer» What is the slope-intercept form of the linear equation 2x - 8y = 32? Solution: |
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| 1377. |
Is it possible for a system of linear equations to have exactly two solutions? |
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Answer» Is it possible for a system of linear equations to have exactly two solutions? Solution: |
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| 1378. |
If f (x) = x-1/x+1 then find the value of f (2x)? |
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Answer» If f (x) = x-1/x+1 then find the value of f (2x)? Solution: |
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| 1379. |
The volume of a cone of radius r and height h is given by v=1/3πr2h. If the radius and height are both increasing at a constant rate of 1/2 centimeter per second, at what rate, in cubic centimeters per second, is the volume increasing when the height is 9 centimeters and the radius is 6 centimeters. |
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Answer» The volume of a cone of radius r and height h is given by v = 1/3πr2h. If the radius and height are both increasing at a constant rate of 1/2 centimeter per second, at what rate, in cubic centimeters per second, is the volume increasing when the height is 9 centimeters and the radius is 6 centimeters. Solution: |
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| 1380. |
The function f(x) = {1/5}x is translated up to 4 units. Which equation represents the translated function? |
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Answer» The function f(x) = {1/5}xis translated up to 4 units. Which equation represents the translated function? Solution: |
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| 1381. |
Which of the following represents 5 x to the 4 ninths power in radical form? ninth root of 5 x to the fourth power fourth root of 5 x to the ninth power 5 ninth root of x to the fourth power 5 fourth root of x to the ninth power |
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Answer» Which of the following represents 5 x to the 4 ninths power in radical form? Solution: |
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| 1382. |
What is the approximate value of x in the equation below? log5(15) = x + 3 |
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Answer» What is the approximate value of x in the equation below? log5(15) = x + 3 Solution: |
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| 1383. |
Factor -7x3 + 21x2 + 3x - 9 by grouping. What is the resulting expression? |
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Answer» Factor -7x3+ 21x2+ 3x - 9 by grouping. What is the resulting expression? Solution: |
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| 1384. |
Solve the system of equations. 2x - 5y = 3; x - 3y = 1 |
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Answer» Solve the system of equations. 2x - 5y = 3; x - 3y = 1 Solution: |
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| 1385. |
What is the slope of the line through the points (-3, 5) and (4, 5)? |
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Answer» What is the slope of the line through the points (-3, 5) and (4, 5)? Solution: |
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| 1386. |
Which equation has a graph that is a parabola with a vertex at (-1, -1)? |
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Answer» Which equation has a graph that is a parabola with a vertex at (-1, -1)? Solution: |
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| 1387. |
What are the approximate solutions of 4x2 + 3 = -12x to the nearest hundredth? |
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Answer» What are the approximate solutions of 4x2+ 3 = -12x to the nearest hundredth? Solution: |
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| 1388. |
Which equation has a graph that is a parabola with a vertex at (5, 3)? |
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Answer» Which equation has a graph that is a parabola with a vertex at (5, 3)? Solution: |
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| 1389. |
Find the amount of the discount on a $234 item with a discount of 15%. |
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Answer» Find the amount of the discount on a $234 item with a discount of 15%. Solution: |
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| 1390. |
Find a point on the line and the slope of the line. |
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Answer» Find a point on the line and the slope of the line. Solution: |
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| 1391. |
What is the coefficient of the x4-term in the binomial expansion of (x + 3)12? |
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Answer» What is the coefficient of the x4-term in the binomial expansion of (x + 3)12? Solution: |
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| 1392. |
Find the distance between the points (-2, 4) and (4, -6). |
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Answer» Find the distance between the points (-2, 4) and (4, -6). Solution: |
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| 1393. |
What is the factored form of 5x2 - 18x - 8? |
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Answer» What is the factored form of 5x2 - 18x - 8? Solution: |
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| 1394. |
Identify the factors of 15ab + 35a - 6b - 14. (5a - 2)(3b + 7) (5a + 2)(3b - 7) (5a - 7)(3b + 2) (5a + 7)(3b - 2) |
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Answer» Identify the factors of 15ab + 35a - 6b - 14. Solution: |
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| 1395. |
How do you find a polynomial function that has zerosx=−5,1,2and degree n=4? |
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Answer» How do you find a polynomial function that has zerosx=−5,1,2and degree n=4? Solution: |
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| 1396. |
Write an equation for the translation of y = 5/x that has the asymptotes x = 6 and y = 7 |
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Answer» Write an equation for the translation of y = 5/x that has the asymptotes x = 6 and y = 7 Solution: |
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| 1397. |
What's the equation of a line that passes through points (0, -1) and (2, 3)? |
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Answer» What's the equation of a line that passes through points (0, -1) and (2, 3)? Solution: |
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| 1398. |
How to find the value of sin4x, cos4x, cot4x? |
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Answer» How to find the value of sin4x, cos4x, cot4x? The value of sin4x, cos4x and cot4x can be found out by using the basic trigonometric formulas. |
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| 1399. |
Verify that the function satisfies the three hypotheses of Rolle’s Theorem on the given interval. Then find all numbers c that satisfy the conclusion of Rolle’s Theorem. f(x)=5 - 12x + 3x2, [1, 3] |
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Answer» Verify that the function satisfies the three hypotheses of Rolle’s Theorem on the given interval. Then find all numbers c that satisfy the conclusion of Rolle’s Theorem. f(x)=5 - 12x + 3x2, [1, 3] Solution: |
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| 1400. |
Find the derivative of the function using the definition of derivative. g(t) = 9/√ t. |
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Answer» Find the derivative of the function using the definition of derivative. g(t) = 9/√ t. Solution: |
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