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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.
| 2301. |
Find the values of the six trigonometric functions of θ with the given constraint. Function Valuecos(θ)=16/65. Constraint θ lies in Quadrant III |
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Answer» Find the values of the six trigonometric functions of θ with the given constraint. Function Valuecos(θ)=16/65. Constraint θ lies in Quadrant III Solution: |
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| 2302. |
What is the sum of the geometric sequence 1, 3, 9, ... if there are 12 terms? |
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Answer» What is the sum of the geometric sequence 1, 3, 9, ... if there are 12 terms? Solution: |
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| 2303. |
What is the greatest common factor of the terms in the polynomial 12x4+ 27x3+ 6x2? |
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Answer» What is the greatest common factor of the terms in the polynomial 12x4+ 27x3+ 6x2? Solution: |
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| 2304. |
Solve linear equation 2x + y = 5 and 3x - 2y = 4 |
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Answer» Solve linear equation 2x + y = 5 and 3x - 2y = 4 Solution: |
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| 2305. |
The radius of a sphere is 6 inches. Find the length of a chord connecting two perpendicular radii. |
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Answer» The radius of a sphere is 6 inches. Find the length of a chord connecting two perpendicular radii. Solution: |
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| 2306. |
The circle shown has center o and radius 4. what is the area of the shaded region? |
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Answer» The circle shown has center o and radius 4. what is the area of the shaded region?
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| 2307. |
Which calculation can be used to find the value of p in the equation p3 = 8? p equals cube root of 8 p equals 3 multiplied by the square root of 8 p equals 2 multiplied by square root of 8 p equals square root of 8 |
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Answer» Which calculation can be used to find the value of p in the equation p3 = 8? Solution: |
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| 2308. |
Let A = {a, b, c, d, e} and B = {a, b, c, d, e, f, g, h}. Find A ∪ B. A ∩ B. A - B. B - A. |
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Answer» Let A = {a, b, c, d, e} and B = {a, b, c, d, e, f, g, h}. Find A ∪ B. A ∩ B. A - B. B - A. Solution: |
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| 2309. |
What is the probability that x is more than 1 standard deviation from its mean value? |
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Answer» What is the probability that x is more than 1 standard deviation from its mean value? Solution: |
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| 2310. |
Write the following inequality in slope-intercept form. 5x - 5y ≥ 70 |
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Answer» Write the following inequality in slope-intercept form. 5x - 5y ≥ 70 Solution: |
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| 2311. |
What is the exact value of sin 60°? Enter your answer, as a simplified fraction |
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Answer» What is the exact value of sin 60° ? Enter your answer, as a simplified fraction Solution: |
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| 2312. |
What is the range of this data? {3, 3, 0, 8, 7, 10, 2, 6, 12, 0} |
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Answer» What is the range of this data? {3, 3, 0, 8, 7, 10, 2, 6, 12, 0} Solution: |
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| 2313. |
The measure of one angle is 130°. Which statement is true regarding the 130° angle and angle 3? They are same-side interior angles, so angle 3 measures 50°. They are alternate interior angles, so angle 3 also measures 130°. They are corresponding angles, so angle 3 also measures 130°. They are alternate exterior angles, so angle 3 measures 50°. |
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Answer» The measure of one angle is 130°. Which statement is true regarding the 130° angle and angle 3?
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| 2314. |
In the below system, solve for y in the first equation. x + 3y = 6 and2x - y = 10 |
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Answer» In the below system, solve for y in the first equation. x + 3y = 6 and2x - y = 10 Solution: |
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| 2315. |
Using the graph of f(x) = log2x below, approximate the value of y in the equation 22y = 5. Log base2 graph |
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Answer» Using the graph of f(x) = log2x below, approximate the value of y in the equation 22y= 5. Solution: |
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| 2316. |
A rectangle is inscribed with its base on the x axis and its upper corners on the parabola y = 12 - x2. What are the dimensions of such a rectangle with the greatest possible area? |
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Answer» A rectangle is inscribed with its base on the x axis and its upper corners on the parabola y = 12 -x2. What are the dimensions of such a rectangle with the greatest possible area? Solution: |
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| 2317. |
What is the volume of a cube with dimensions 11.0cm × 11.0cm × 11.0cm in m3? |
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Answer» What is the volume of a cube with dimensions 11.0cm × 11.0cm × 11.0cm in m3? Solution: |
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| 2318. |
If f(x) = 4x + 12 is graphed on a coordinate plane, what is the y-intercept of the graph? |
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Answer» If f(x) = 4x + 12 is graphed on a coordinate plane, what is the y-intercept of the graph? Solution: |
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| 2319. |
A polygon has 7 sides. What is the sum of the measure of the exterior angles of the polygon? |
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Answer» A polygon has 7 sides. What is the sum of the measure of the exterior angles of the polygon? Solution: |
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| 2320. |
Find the linearization l(x) of the function at a. f(x) = x4+ 2x2, x = 1 |
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Answer» Find the linearization l(x) of the function at a. f(x) = x4+ 2x2, x = 1 Solution: |
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| 2321. |
What's the circumference of a circle with a radius of 7 in? Round your answer to the nearest inch. |
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Answer» What's the circumference of a circle with a radius of 7 in? Round your answer to the nearest inch. Solution: |
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| 2322. |
A balloon is rising vertically above a level, straight road at a constant rate of 1 ft/sec. Just when the balloon is 65 ft above the ground, a bicycle moving at a constant rate of 17 ft/sec passes under it. How fast is the distance s(t) between the bicycle and balloon increasing 3 sec later? |
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Answer» A balloon is rising vertically above a level, straight road at a constant rate of 1 ft/sec. Just when the balloon is 65 ft above the ground, a bicycle moving at a constant rate of 17 ft/sec passes under it. How fast is the distance s(t) between the bicycle and balloon increasing 3 sec later? Solution: |
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| 2323. |
How many bit strings of length 10 contain at least three 1s and at least three 0s? |
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Answer» How many bit strings of length 10 contain at least three 1s and at least three 0s? Solution: |
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| 2324. |
How do you express the area A of a rectangle as a function of the width, W , if the width of the rectangle is twice its length? |
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Answer» How do you express the area A of a rectangle as a function of the width, W , if the width of the rectangle is twice its length? Solution: |
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| 2325. |
The base of a solid is the region in the first quadrant bounded by the line x + 2y = 4 and the coordinate axes. What is the volume of the solid if every cross section perpendicular to the x-axis is a semicircle? |
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Answer» The base of a solid is the region in the first quadrant bounded by the line x + 2y = 4 and the coordinate axes. What is the volume of the solid if every cross section perpendicular to the x-axis is a semicircle? Solution: |
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| 2326. |
Sketch the graph of the function. f(x) = 3 + x if x < -1; x2 if -1 ≤ x < 1; 2 - x if x ≥ 1. |
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Answer» Sketch the graph of the function. f(x) = 3 + x if x < -1; x2if -1 ≤ x < 1; 2 - x if x ≥ 1. Solution : |
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| 2327. |
Compute Δy and dy for the given values of x and dx = Δx. (Round your answers to three decimal places.) y = 3x - x2, x = 3, Δx = -0.6, Δy=? |
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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 = 3x - x2, x = 3, Δx = -0.6, Δy=? Solution: |
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| 2328. |
Find the local maximum and minimum values of f using both the first and second derivative tests f(x) = x2/ (x - 1). |
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Answer» Find the local maximum and minimum values of f using both the first and second derivative tests f(x) = x2/ (x - 1). Solution: |
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| 2329. |
If x is a discrete uniform random variable ranging from 0 to 12, find p(x ≥ 10). |
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Answer» If x is a discrete uniform random variable ranging from 0 to 12, find p(x ≥ 10). Solution: |
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| 2330. |
Sketch the graph of the function. f(x) = 4 + x if x < -2; x2 if -2 ≤ x < 2; 6 - x if x ≥ 2. |
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Answer» Sketch the graph of the function. f(x) = 4 + x if x < -2; x2if -2 ≤ x < 2; 6 - x if x ≥ 2. Solution : |
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| 2331. |
Write the expression as the sine, cosine, or tangent of an angle.cos 96° cos 15° + sin 96° sin 15° cos 81°,cos 111°,sin 111°,sin 81° |
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Answer» Write the expression as the sine, cosine, or tangent of an angle.cos 96° cos 15° + sin 96° sin 15° Solution: |
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| 2332. |
What is the probability of getting tails 4 times in a row when you flip a coin? |
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Answer» What is the probability of getting tails 4 times in a row when you flip a coin? Solution: |
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| 2333. |
In circle V, r = 14ft. What is the area of circle V? |
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Answer» In circle V, r = 14ft. What is the area of circle V? Solution: |
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| 2334. |
How to tell if a function is increasing or decreasing from a derivative? |
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Answer» How to tell if a function is increasing or decreasing from a derivative? Solution: |
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| 2335. |
Find the value of x. The diagram is not to scale. lines f and g are parallel. |
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Answer» Find the value of x. The diagram is not to scale. lines f and g are parallel.
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| 2336. |
Consider the function f(x) = (6)x. What is the value of the growth factor of the function? |
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Answer» Consider the function f(x) = (6)x. What is the value of the growth factor of the function? Solution: |
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| 2337. |
Which of the following represents the zeros of f(x) = x3 - 12x2+ 41x - 42? |
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Answer» Which of the following represents the zeros of f(x) = x3-12x2+ 41x-42? Solution: |
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| 2338. |
Which of the following is a factor of f(x) = 5x3+ 24x2- 75x + 14? x + 1/2, x - 1/2, x + 2, x - 2 |
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Answer» Which of the following is a factor of f(x) = 5x3+ 24x2- 75x + 14? Solution: |
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| 2339. |
Find the center, vertices, and foci of the ellipse with equation 3x2 + 6y2 = 18. |
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Answer» Find the center, vertices, and foci of the ellipse with equation 3x2+ 6y2= 18. Solution: |
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| 2340. |
In a large population of adults, the mean IQ is 112 with a standard deviation of 20. Suppose 200 adults are randomly selected for a market research campaign. The distribution of the sample mean IQ is? |
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Answer» In a large population of adults, the mean IQ is 112 with a standard deviation of 20. Suppose 200 adults are randomly selected for a market research campaign. The distribution of the sample mean IQ is? Solution: |
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| 2341. |
One of the factors of 3p5-12p3 is p × 4 p + 2 p × 2 + 4 4 |
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Answer» One of the factors of 3p5-12p3 is: Solution: |
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| 2342. |
Which of the following equations is an example of inverse variation between the variables x and y? y = x/3,y = 3/x,y = x + 3,y = 3x |
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Answer» Which of the following equations is an example of inverse variation between the variables x and y? Solution: |
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| 2343. |
Find the surface area of a sphere with a circumference of 40 ft. Round to the nearest tenth. |
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Answer» Find the surface area of a sphere with a circumference of 40 ft. Round to the nearest tenth. Solution: |
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| 2344. |
For the vectors a = (3, 12) and b = (6, 9), find orth ab. |
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Answer» For the vectors a = (3, 12) and b = (6, 9), find orth ab. Solution: |
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| 2345. |
What is the average (arithmetic mean) of all the multiples of ten from 10 to 190 inclusive? |
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Answer» What is the average (arithmetic mean) of all the multiples of ten from 10 to 190 inclusive? Solution: |
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| 2346. |
If f(x) and g(x) are continuous on [a, b], which one of the following statements is false? The integral from a to b of the sum of f of x and g of x, dx equals the integral from a to b of f of x, dx plus the integral from a to b of g of x dx. The integral from a to b of the product of f of x and g of x, dx equals the integral from a to b of f of x, dx times the integral from a to b of g of x dx. The integral from a to b of 6 times f of x, dx equals 6 times the integral from a to b of f of x, dx. None are false |
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Answer» If f(x) and g(x) are continuous on [a, b], which one of the following statements is false? Solution: |
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| 2347. |
What is the line of symmetry for the parabola whose equation is y = x2 + 10x + 25? |
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Answer» What is the line of symmetry for the parabola whose equation is y = x2+ 10x + 25? Solution: |
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| 2348. |
The product of two consecutive positive integers is 812. What is the value of the lesser integer? |
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Answer» The product of two consecutive positive integers is 812. What is the value of the lesser integer? Solution: |
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| 2349. |
An angle that shares the same sine value of an angle that measures 5π/4 radians is located where? |
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Answer» An angle that shares the same sine value of an angle that measures 5π/4 radians is located where? Solution: |
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| 2350. |
Find the angle between the given vectors to the nearest tenth of a degree. u = , v = |
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Answer» Find the angle between the given vectors to the nearest tenth of a degree. u = <8, 7>, v = <9, 7> Solution: |
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