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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.
| 1251. |
How many arrangements of 3 digits can be formed from the digits 0 through 9? |
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Answer» How many arrangements of 3 digits can be formed from the digits 0 through 9? Solution: |
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| 1252. |
Use the graph to find the slope. slope = the runner’s speed is minutes per mile. |
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Answer» Use the graph to find the slope. slope = the runner’s speed is minutes per mile.
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| 1253. |
Find the midpoint of the line segment whose endpoints are (-2, 5) and (4, -9). |
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Answer» Find the midpoint of the line segment whose endpoints are (-2, 5) and (4, -9). Solution: |
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| 1254. |
Use the result from Part C to find the two solutions to the equation 2x2- 3x - 5 = 0. Enter the two solutions separated by a comma. |
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Answer» Use the result from Part C to find the two solutions to the equation 2x2- 3x - 5 = 0. Enter the two solutions separated by a comma. Solution: |
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| 1255. |
Let f(x) = 2x - 6. Solve f-1(x) when x = 2. |
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Answer» Let f(x) = 2x - 6. Solve f-1(x) when x = 2. Solution: |
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| 1256. |
Write an inequality for the situation. all real numbers at most -9.5 or at least 5.5 |
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Answer» Write an inequality for the situation. all real numbers at most -9.5 or at least 5.5 Solution: |
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| 1257. |
In the diagram of circle C, what is the measure of < 1? |
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Answer» In the diagram of circle C, what is the measure of <1?
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| 1258. |
Find all values of x such that sin(2x) = sin(x) and 0 ≤ x ≤ 2π |
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Answer» Find all values of x such that sin(2x) = sin(x) and 0 ≤ x ≤ 2π Solution: |
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| 1259. |
What is an equation of a parabola with a vertex at the origin and directrix x = 4.75? |
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Answer» What is an equation of a parabola with a vertex at the origin and directrix x = 4.75? Solution: |
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| 1260. |
What is the domain and range of f(x) = 4x - 8? |
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Answer» What is the domain and range of f(x) = 4x - 8? Solution: |
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| 1261. |
If p(x) = 2x2 - 4x and q(x) = x - 3, what is (p•q)(x) |
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Answer» If p(x) = 2x2- 4x and q(x) = x - 3, what is (p•q)(x) Solution: |
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| 1262. |
Find the midpoint of the line segment whose endpoints are (3, 10) and (7, 8). |
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Answer» Find the midpoint of the line segment whose endpoints are (3, 10) and (7, 8). Solution: |
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| 1263. |
What is the slope of the line that passes through (2, 12) and (4, 20)? |
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Answer» What is the slope of the line that passes through (2, 12) and (4, 20)? Solution: |
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| 1264. |
Solve the following system of equations: 3x - 2y = 6, 6x - 4y = 14 |
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Answer» Solve the following system of equations: 3x - 2y = 6, 6x - 4y = 14 Solution: |
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| 1265. |
If sin θ = 12 over 37, use the pythagorean identity to find cos θ. |
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Answer» If sin θ = 12 over 37, use the pythagorean identity to find cos θ. Solution: |
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| 1266. |
What are the approximate solutions of 4x2 + 2x = 17, rounded to the nearest hundredth. |
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Answer» What are the approximate solutions of 4x2+ 2x = 17, rounded to the nearest hundredth. Solution: |
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| 1267. |
Find the 37th term of the sequence 2, 5, 8, 11, 14, . . . |
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Answer» Find the 37th term of the sequence 2, 5, 8, 11, 14, . . . Solution: |
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| 1268. |
Use completing the square to solve (x + 7)(x - 9) = 25 for x. |
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Answer» Use completing the square to solve (x + 7)(x - 9) = 25 for x. Solution: |
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| 1269. |
If the discriminant of a quadratic equation is zero, determine the number of real solutions. |
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Answer» If the discriminant of a quadratic equation is zero, determine the number of real solutions. Solution: |
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| 1270. |
What is the quotient (3x4 - 4x2 + 8x - 1) ÷ (x - 2)? |
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Answer» What is the quotient (3x4 - 4x2 + 8x - 1) ÷ (x - 2)? Solution: |
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| 1271. |
∠C and ∠D are vertical angles with m∠C = -x + 26 and m∠D = 2x - 10 . What is m∠D ? |
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Answer» ∠C and ∠D are vertical angles with m∠C = -x + 26 and m∠D = 2x - 10 . What is m∠D ? Solution: |
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| 1272. |
Simplify quantity x plus 3 over 9 all over quantity x plus 12 over 6. |
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Answer» Simplify quantity x plus 3 over 9 all over quantity x plus 12 over 6. Solution: |
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| 1273. |
For the absolute value functionf(x) = |x + 2|,what is the domain of the function? |
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Answer» For the absolute value functionf(x) = |x + 2|,what is the domain of the function? Solution: |
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| 1274. |
What is the domain and range of f(x) = 2|x - 4|? |
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Answer» What is the domain and range of f(x) = 2|x - 4|? Solution: |
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| 1275. |
The following set of coordinates represents which figure? (-5 ,2), (-3, 4), (1, 0), (-1, -2) a) Kite b) Rectangle c) Rhombus d) Square |
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Answer» The following set of coordinates represents which figure? (-5 ,2), (-3, 4), (1, 0), (-1, -2) Solution: |
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| 1276. |
If JM = 5x - 8 and LM = 2x - 6, which expression represents JL? 3x - 2, 3x - 14, 7x - 2, 7x - 14 |
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Answer» If JM = 5x - 8 and LM = 2x - 6, which expression represents JL? 3x - 2, 3x - 14, 7x - 2, 7x - 14
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| 1277. |
Find a quadratic model for the set of values: (-2, -20), (0, -4), (4, -20). Show your work. |
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Answer» Find a quadratic model for the set of values: (-2, -20), (0, -4), (4, -20). Show your work. Solution: |
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| 1278. |
In quadrilateral PQRS, Angle P Q R measures (7x - 2)°. Angle PSR measures (5x + 14)°. What are the measures of angles PQR and PSR? |
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Answer» In quadrilateral PQRS, Angle P Q R measures (7x - 2)°. Angle PSR measures (5x + 14)°. What are the measures of angles PQR and PSR?
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| 1279. |
How to find the interquartile range of a set of numbers |
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Answer» Theinterquartile range isfound bythe differences between the higher Quartile and Lower Quartile in a given set of data. We will use the concept of median to find the interquartile range of a set of numbers. |
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| 1280. |
Find the value of x. Round to the nearest tenth of a unit. |
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Answer» Find the value of x. Round to the nearest tenth of a unit. Solution: |
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| 1281. |
What is the volume of the cone, rounded to the nearest cubic inch? |
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Answer» What is the volume of the cone, rounded to the nearest cubic inch?
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| 1282. |
Let f be a continuous function on the closed interval [0, 2]. If 2 ≤ f(x) ≤ 4, then the greatest possible value of : ∫(0 to 2) f(x)dx is: |
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Answer» Let f be a continuous function on the closed interval [0, 2]. If 2 ≤f(x) ≤4, then the greatest possible value of : ∫(0 to 2) f(x)dx is: Solution: |
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| 1283. |
If sin θ = 1/2 and angle θ is acute, how do you find the other five ratios? |
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Answer» If sin θ = 1/2 and angle θ is acute, how do you find the other five ratios? Solution: |
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| 1284. |
In the right triangle below, tan(A) = 0.45. What is the approximate length of AB? 10 units 13 units 20 units 22 units |
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Answer» In the right triangle below, tan(A) = 0.45. What is the approximate length of AB?
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| 1285. |
Which function in vertex form is equivalent to f(x) = x2 + 8 - 16x? A.f(x) = (x -8)2 – 56 B.f(x) = (x -4)2 + 0 C.f(x) = (x + 8)2-72 D.f(x) = (x + 4)2-32 |
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Answer» Which function in vertex form is equivalent to f(x) = x2+ 8 - 16x? Solution: |
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| 1286. |
Use the rational root theorem to list all possible rational roots for the equation 3x3+ 9x - 6 = 0. |
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Answer» Use the rational root theorem to list all possible rational roots for the equation 3x3+ 9x - 6 = 0. Solution: |
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| 1287. |
What are the zeros of the quadratic function f(x) = 2x2 - 10x - 3? |
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Answer» What are the zeros of the quadratic function f(x) = 2x2- 10x - 3? Solution: |
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| 1288. |
Find the radius of a circle so that its area and circumference are the same. |
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Answer» Find the radius of a circle so that its area and circumference are the same. Solution: |
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| 1289. |
What are the two solutions of x2 - 2x - 4 = -3x + 9? |
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Answer» What are the two solutions of x2- 2x - 4 = -3x + 9? Solution: |
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| 1290. |
With two dice, each numbered 1-6, there are two possible ways to roll a 3: Thus, for the outcome of 3 (a particular macrostate) there are 2 microstates. How many possible ways are there to roll a 6? |
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Answer» With two dice, each numbered 1-6, there are two possible ways to roll a 3: Thus, for the outcome of 3 (a particular macrostate) there are 2 microstates. How many possible ways are there to roll a 6? Solution: |
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| 1291. |
Find the center, vertices, and foci of the ellipse with equation 2x2 + 9y2 = 18. |
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Answer» Find the center, vertices, and foci of the ellipse with equation 2x2+ 9y2= 18. Solution: |
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| 1292. |
Express: z varies directly with the sum of the squares of x and y. |
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Answer» Answer : z = k ( x2+ y2),where k is a constant of proportionality. We will use the concept of direct and inverse proportion to find the answer. |
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| 1293. |
What is the end behavior of the graph of f(x) = x5- 8x4+ 16x3? |
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Answer» What is the end behavior of the graph of f(x) = x5- 8x4+ 16x3? Solution: |
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| 1294. |
Explain how you could estimate 22% of 78 to check if your answer is reasonable. |
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Answer» Explain how you could estimate 22% of 78 to check if your answer is reasonable. Solution: |
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| 1295. |
If θ increases at a constant rate of 3 rads per min, at what rate is x increasing in units per min when x = 3 units? |
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Answer» If θ increases at a constant rate of 3 rads per min, at what rate is x increasing in units per min when x = 3 units?
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| 1296. |
What is the vertex of the graph of y = -x2? |
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Answer» What is the vertex of the graph of y = -x2? Solution: |
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| 1297. |
A final exam in Math 160 has a mean of 73 with a standard deviation 7.8. If 24 students are randomly selected, find the probability that the mean of their test scores is less than 70. |
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Answer» A final exam in Math 160 has a mean of 73 with a standard deviation 7.8. If 24 students are randomly selected, find the probability that the mean of their test scores is less than 70. Solution: |
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| 1298. |
What is the sum of the polynomials? (-x2 + 9) + (-3x2 - 11x + 4) |
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Answer» What is the sum of the polynomials? (-x2+ 9) + (-3x2- 11x + 4) Solution: |
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| 1299. |
What part of the coordinate plane is equidistant from the points a(-3, 2) and b(3, 2). |
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Answer» What part of the coordinate plane is equidistant from the points a(-3, 2) and b(3, 2). Solution: |
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| 1300. |
The mean value of a land and building per acre from a sample of a farm is $1500, with a standard deviation of $200. What is the percentage of farms whose land and building values acre are between $1300 and $1700? |
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Answer» The mean value of a land and building per acre from a sample of a farm is $1500, with a standard deviation of $200. What is the percentage of farms whose land and building values acre are between $1300 and $1700? Solution: |
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