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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.
| 2201. |
Find the greatest common factor of 15x2y3and -18x3yz. |
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Answer» Find the greatest common factor of 15x2y3and -18x3yz. Solution: |
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| 2202. |
If the isosceles triangle ABC has a 130° angle at vertex B, which statement must be true? m∠A = 15° and m∠C = 35° m∠A + m∠B = 155° m∠A + m∠C = 60° m∠A = 20° and m∠C = 30° |
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Answer» If the isosceles triangle ABC has a 130° angle at vertex B, which statement must be true? Solution: |
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| 2203. |
Multiply x to the 1 third power times x to the 3 seventh power. |
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Answer» Multiply x to the 1 third power times x to the 3 seventh power. Solution: |
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| 2204. |
How many solutions (x, y) are there to the system of equations above 2x + 6y = 5 and x + 3y = 2 |
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Answer» How many solutions (x, y) are there to the system of equations above 2x + 6y = 5 and x + 3y = 2 Solution: |
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| 2205. |
Find a polar equation for the curve represented by the given cartesian equation. y = 2 |
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Answer» Find a polar equation for the curve represented by the given cartesian equation. y = 2 Solution: |
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| 2206. |
Use the remainder theorem to find the remainder when p(x) = x4- 9x3- 5x2- 3x + 4 is divided by x + 3. |
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Answer» Use the remainder theorem to find the remainder when p(x) = x4- 9x3- 5x2- 3x + 4 is divided by x + 3. Solution: |
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| 2207. |
If a theater holds 1,800 people, and sells 1/3 of its seats, how many tickets does it sell? |
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Answer» If a theater holds 1,800 people, and sells 1/3 of its seats, how many tickets does it sell? Solution: |
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| 2208. |
Which polynomial is prime? x2 + 9,x2 - 25,3x2 - 27,2x2 - 8 |
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Answer» Which polynomial is prime? x2 + 9,x2 - 25,3x2 - 27,2x2 - 8 Solution: |
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| 2209. |
Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. f(x) = (x + 4) / 6, g(x) = 6x - 4 |
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Answer» Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. f(x) = (x + 4) / 6, g(x) = 6x - 4 Solution: |
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| 2210. |
What is the solution set of the following equation? -8x + x + 15 = -7x + 12 |
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Answer» What is the solution set of the following equation? -8x + x + 15 = -7x + 12 Solution: |
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| 2211. |
Solve the equation on the interval [0, 2π). cos x + 2 cos x sin x = 0 |
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Answer» Solve the equation on the interval [0, 2π). cos x + 2 cos x sin x = 0 Solution: |
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| 2212. |
What is the quotient: (6x4 + 15x3 + 10x2 + 10x + 4) ÷ (3x2 + 2)? 2x2 - 5x + 2 2x2 + 5x - 2 2x2 + 5x + 2 2x2 - 5x - 2 |
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Answer» What is the quotient: (6x4 + 15x3 + 10x2 + 10x + 4) ÷ (3x2 + 2)? Solution: |
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| 2213. |
The unit price of a 64-ounce carton of orange juice that costs $3.20 is |
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Answer» The unit price of a 64-ounce carton of orange juice that costs $3.20 is Solution: |
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| 2214. |
How many solutions does the equation 3x - 7 = 4 + 6 + 4x have? |
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Answer» How many solutions does the equation 3x - 7 = 4 + 6 + 4x have? Solution: |
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| 2215. |
Find the exact value by using a half-angle identity. sin 5π/12. |
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Answer» Find the exact value by using a half-angle identity. sin 5π/12. Solution: |
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| 2216. |
What would be the value of $100 after 10 years if you earn 11 percent interest per year? |
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Answer» What would be the value of $100 after 10 years if you earn 11 percent interest per year? Solution: |
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| 2217. |
Which value is needed to create a perfect square trinomial from the expression x2 + 8x + _____? |
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Answer» Which value is needed to create a perfect square trinomial from the expression x2 + 8x + _____? Solution: |
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| 2218. |
What is the quotient of (x3 + 6x2 + 11x + 6) ÷ (x2 + 4x + 3)? |
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Answer» What is the quotient of (x3 + 6x2 + 11x + 6) ÷ (x2 + 4x + 3)? Solution: |
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| 2219. |
A single card is drawn from a deck. Find the probability of selecting a heart or a 8. |
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Answer» A single card is drawn from a deck. Find the probability of selecting a heart or a 8. Solution: |
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| 2220. |
Find the length of an arc of a circle with a radius of 18 cm if the arc subtends a central angle of 2π / 3? |
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Answer» Find the length of an arc of a circle with a radius of 18 cm if the arc subtends a central angle of 2π / 3? Solution: |
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| 2221. |
Josie bought a new mirror. The mirror has 5 sides. What is the shape of the mirror? |
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Answer» Josie bought a new mirror. The mirror has 5 sides. What is the shape of the mirror? Solution: |
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| 2222. |
What is the 3rd term when 5 + 3x2 - 5x4 + 2x3 is arranged in descending order? |
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Answer» What is the 3rd term when 5 + 3x2- 5x4+ 2x3is arranged in descending order? Solution: |
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| 2223. |
Find the centroid of the region bounded by the given curves. y = x³, x + y = 2, y = 0 |
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Answer» Find the centroid of the region bounded by the given curves. y = x³, x + y = 2, y = 0 Solution: |
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| 2224. |
What is the theoretical probability that a coin toss results in two heads showing? |
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Answer» What is the theoretical probability that a coin toss results in two heads showing? Solution: |
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| 2225. |
The diagonal of a square is x units. What is the area of the square in terms of x? |
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Answer» The diagonal of a square is x units. What is the area of the square in terms of x? Solution: |
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| 2226. |
What is the y-intercept of the graph of the function f(x) = x2 + 3x + 5? (0,-5), (0, -3), (0,3), (0,5) |
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Answer» What is the y-intercept of the graph of the function f(x) = x2 + 3x + 5? Solution: |
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| 2227. |
If (x + 1)(x - 3) = 5, then which of the following statements is true? x + 1 = 0 or x - 3 = 0 x + 1 = 5 or x - 3 = 5 x - 4 = 0 or x + 2 = 0 |
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Answer» If (x + 1)(x - 3) = 5, then which of the following statements is true? Solution: |
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| 2228. |
What is the average rate of change for the function over the interval, f(x) = 3/(x - 2) between x = 4 and x = 7? |
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Answer» What is the average rate of change for the function over the interval, f(x) = 3/(x - 2) between x = 4 and x = 7? Solution: |
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| 2229. |
Find the length of the arc on a circle of radius r intercepted by a central angle θ. |
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Answer» Find the length of the arc on a circle of radius r intercepted by a central angle θ. Solution: |
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| 2230. |
Find the area of the part of the plane 3x + 2y + z = 6 that lies in the first octant. |
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Answer» Find the area of the part of the plane 3x + 2y + z = 6 that lies in the first octant. Solution: |
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| 2231. |
What is the end behavior of the graph of the polynomial function y = 10x9 - 4x? |
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Answer» What is the end behavior of the graph of the polynomial function y = 10x9 - 4x? Solution: |
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| 2232. |
In the triangle shown above if increases at a constant rate of 3 radians per minute, at what rate is x increasing in units per min when x = 3 units? |
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Answer» In the triangle shown above if increases at a constant rate of 3 radians per minute, at what rate is x increasing in units per min when x = 3 units?
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| 2233. |
What is the center of a circle represented by the equation (x + 9)2 + (y - 6)2 = 102? |
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Answer» What is the center of a circle represented by the equation (x + 9)2+ (y - 6)2= 102? Solution: |
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| 2234. |
If l||m and l∠6 = 4x - 15 and m∠7 = x + 30, then l∠6 =? |
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Answer» If l||m and l∠6 = 4x - 15 and m∠7 = x + 30, then l∠6 =? Solution: |
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| 2235. |
Identify the triangle that contains an acute angle for which the sine and cosine ratios are equal. |
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Answer» Identify the triangle that contains an acute angle for which the sine and cosine ratios are equal.
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| 2236. |
Graph the exponential function y = 3x |
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Answer» Graph the exponential function y = 3x Solution: |
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| 2237. |
To determine a 72 percent level of confidence for a proportion, the value of z is approximately. |
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Answer» To determine a 72 percent level of confidence for a proportion, the value of z is approximately. Solution: |
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| 2238. |
Draw a graph of the rose curve. r = 4 cos 2θ, 0 ≤ θ ≤ 2π. |
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Answer» Draw a graph of the rose curve. r = 4 cos 2θ, 0 ≤ θ ≤ 2π. Solution: |
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| 2239. |
Find the area of the part of the plane 5x + 4y + z = 20 that lies in the first octant. |
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Answer» Find the area of the part of the plane 5x + 4y + z = 20 that lies in the first octant. Solution: |
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| 2240. |
What is the value of h? h = 1.5°,h = 9°,h = 10°,h = 13.5° |
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Answer» What is the value of h? h = 1.5°,h = 9°,h = 10°,h = 13.5°
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| 2241. |
Solve open parentheses square root of 6 close parentheses to the 8 x power = 216x - 3. |
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Answer» Solve open parentheses square root of 6 close parentheses to the 8 x power = 216x - 3. Solution: |
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| 2242. |
Lines DE and AB intersect at point C. What is the value of x? 12,25,38,52 |
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Answer» Lines DE and AB intersect at point C. What is the value of x?
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| 2243. |
Let g(x) be the reflection of f(x) = x2 + 3 on the x-axis. What is the function rule for g(x)? |
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Answer» Let g(x) be the reflection of f(x) = x2+ 3 on the x-axis. What is the function rule for g(x)? Solution: |
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| 2244. |
Which is not an equation of the line that passes through the points (1, 1) and (5, 5)? y - x = 0 x - y = 0 -x - y = 0 None of the above |
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Answer» Which is not an equation of the line that passes through the points (1, 1) and (5, 5)? Solution: |
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| 2245. |
Given the vector a = 4.00i + 7.00j , find the magnitude of the vector. |
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Answer» Given the vector a = 4.00i + 7.00j , find the magnitude of the vector. Solution: |
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| 2246. |
If a translation maps point (3, 2) to (4, 5); or T : (3, 2) (4, 5), indicate the image for (2, 4). |
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Answer» If a translation maps point (3, 2) to (4, 5); or T : (3, 2) (4, 5), indicate the image for (2, 4). Solution: |
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| 2247. |
Use the binomial series to find the maclaurin series for the function. f(x) = 1/(1 + x)4 |
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Answer» Use the binomial series to find the maclaurin series for the function. f(x) = 1/(1 + x)4 Solution: |
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| 2248. |
Figure ABCD is a parallelogram. If ABCD is also a rhombus, what must be the value of x? |
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Answer» Figure ABCD is a parallelogram. If ABCD is also a rhombus, what must be the value of x?
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| 2249. |
The circumference of a sphere was measured to be 74 cm with a possible error of 0.5 cm. Use differentials to estimate the maximum error in the calculated surface area. (Round your answer to the nearest integer.) cm2 What is the relative error? |
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Answer» The circumference of a sphere was measured to be 74 cm with a possible error of 0.5 cm. Use differentials to estimate the maximum error in the calculated surface area. (Round your answer to the nearest integer.) cm2 What is the relative error? Solution: |
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| 2250. |
If a rectangular office space is 72 feet wide and has a 410-foot perimeter, what is its area? |
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Answer» If a rectangular office space is 72 feet wide and has a 410-foot perimeter, what is its area? Solution: |
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