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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.
| 3251. |
Find the value of y for a given value of x, if y varies directly with x. If y = 2.52 when x = 8.4, what is y when x = 2.7? |
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Answer» Find the value of y for a given value of x, if y varies directly with x. If y = 2.52 when x = 8.4, what is y when x = 2.7? Solution: |
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| 3252. |
A rectangular lot is 275 feet deep, and it contains 2/3 of an acre. What is the length of the lot? |
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Answer» A rectangular lot is 275 feet deep, and it contains 2/3 of an acre. What is the length of the lot? Solution: |
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| 3253. |
Find an equation of the plane consisting of all points that are equidistant from (3, 0, 0) and (-2, -4, 0) |
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Answer» Find an equation of the plane consisting of all points that are equidistant from (3, 0, 0) and (-2, -4, 0) Solution: |
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| 3254. |
If s(x) = x - 7 and t(x) = 4x2 - x + 3, which expression is equivalent to (t*s)(x)? 4(x - 7)2 - x - 7 + 3 4(x - 7)2 - (x - 7) + 3 (4x2 - x + 3) - 7 (4x2 - x + 3)(x - 7) |
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Answer» If s(x) = x - 7 and t(x) = 4x2 - x + 3, which expression is equivalent to (t*s)(x)? 4(x - 7)2 - x - 7 + 3 4(x - 7)2 - (x - 7) + 3 (4x2 - x + 3) - 7 (4x2 - x + 3)(x - 7) Solution: |
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| 3255. |
How much is the value of 8 to the power of 0? |
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Answer» 8 to the power of 0 is 1. Theexponent of a number shows the number of times we multiply a number by itself. |
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| 3256. |
Find a unit vector that is orthogonal to both i + j and i + k? |
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Answer» Find a unit vector that is orthogonal to both i + j and i + k? Solution: |
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| 3257. |
The function g(x) is defined as g(x) = 6x2 + 23x - 4. When does g(x) = 0? |
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Answer» The function g(x) is defined as g(x) = 6x2+ 23x - 4. When does g(x) = 0? Solution: |
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| 3258. |
How many extraneous solutions does the equation below have? (2m)/(2m + 3) - (2m)/(2m - 3) = 1 |
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Answer» How many extraneous solutions does the equation below have? (2m)/(2m + 3) - (2m)/(2m - 3)=1 Solution: |
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| 3259. |
What is the value of n in the equation -(2n + 4) + 6 = -9 + 4(2n + 1)? |
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Answer» What is the value of n in the equation -(2n + 4) + 6 = -9 + 4(2n + 1)? Solution: |
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| 3260. |
A regular number cube is rolled. What is the probability that a 3 will not be rolled? |
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Answer» A regular number cube is rolled. What is the probability that a 3 will not be rolled? Solution: |
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| 3261. |
What is the percent decrease when the balance in a bank account goes from $300 to $60? |
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Answer» What is the percent decrease when the balance in a bank account goes from $300 to $60? Solution: |
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| 3262. |
If a car increases its velocity from 0 to 60 km/h in 10 seconds, what its acceleration is? |
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Answer» If a car increases its velocity from 0 to 60 km/h in 10 seconds, its accelerationis 21600 km/h2. Acceleration is the rate of change of velocity. |
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| 3263. |
What is the slope-intercept form equation of the line that passes through (2, 4) and (4, 10) y = -3x - 2 y = -3x + 2 y = 3x + 2 y = 3x - 2 |
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Answer» What is the slope-intercept form equation of the line that passes through (2, 4) and (4, 10) Solution: |
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| 3264. |
The binomial (a + 5) is a factor of a2 + 7a + 10. What is the other factor? |
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Answer» The binomial (a + 5) is a factor of a2 + 7a + 10. What is the other factor? Solution: |
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| 3265. |
A pair of dice is thrown once. Find the probability of getting an even number on the first side. |
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Answer» The probability of getting an even number on the first side when apair of dice is thrown once is1/2 Probability defines the likelihood of occurrence of an event |
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| 3266. |
What is the probability of an event that is certain to occur? |
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Answer» What is the probability of an event that is certain to occur? Solution: |
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| 3267. |
In a right angle triangle ABC, angle B measures 60° and BC is 18. What is the length of AC? |
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Answer» In a right angle triangle ABC, angle B measures 60° and BC is 18. What is the length of AC? Solution: |
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| 3268. |
When the coordinates (1, 1), (7, 3), (8, 0), and (2, -2) are joined, which shape is formed? |
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Answer» When the coordinates (1, 1), (7, 3), (8, 0), and (2, -2) are joined, which shape is formed? Solution: |
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| 3269. |
Find 10 partial sums of the series. (round your answers to five decimal places.) \(\sum _{n=1}^{\infty }\) 15(-4)n? |
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Answer» Find 10 partial sums of the series. (round your answers to five decimal places.) \(\sum _{n=1}^{\infty }\) 15(-4)n? Solution: |
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| 3270. |
For a population with a mean of 40 and a standard deviation of 8 find the z-score corresponding to each of the following samples. X = 34 for a sample of n = 1 score: M = 34 for a sample of n = 4 M = 34 for a sample of n = 16 |
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Answer» For a population with a mean of 40 and a standard deviation of 8 find the z-score corresponding to each of the following samples. Solution: |
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| 3271. |
How are future values affected by changes in interest rates? |
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Answer» If the interest rate is high, then the future value would be large and vice-versa. Aninterest rateis the percentage of the principal amount, charged by the lenderor bankto the borrower for the use of its assets or money for a specific time period. |
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| 3272. |
How are the real solutions of a quadratic equation related to the graph of the quadratic function? |
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Answer» How are the real solutions of a quadratic equation related to the graph of the quadratic function? Solution: |
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| 3273. |
What is the solution set of the given systems? 5x + 2y = 7 and y = x + 1 |
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Answer» What is the solution set of the given systems? 5x + 2y = 7 and y = x + 1 Solution: |
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| 3274. |
Find a unit vector that has the same direction as the given vector 8i - j + 4k? |
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Answer» Find a unit vector that has the same direction as the given vector 8i - j + 4k? Solution: |
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| 3275. |
Find the Common Ratio of the Sequence. –125, –25, –5, –1, . . . |
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Answer» The common ratio of the sequence–125, –25, –5, –1, . . . is 1/5. A sequence in which the ratio between two consecutive terms is the same is called a geometric sequence. |
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| 3276. |
Given the parent functions f(x) = 3x + 2 and g(x) = 5x − 10, what is g(x) − f(x)? |
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Answer» Given the parent functions f(x) = 3x + 2 and g(x) = 5x − 10, what is g(x) − f(x)? Solution: |
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| 3277. |
Arational number is a number that can be written as a _______ |
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Answer» A rational number is a number that can be written as a "fraction of integers" We will use the definition of rational numbers to answer this question. |
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| 3278. |
The formula for the volume of a cone is most like the formula for the volume of which figure? |
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Answer» The formula for the volume of a cone is most like the formula for the volume of which figure? Solution: |
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| 3279. |
An isosceles trapezoid has bases of 4 and 12. If the base angle is 45°, find the area. |
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Answer» An isosceles trapezoid has bases of 4 and 12. If the base angle is 45°, find the area. Solution: |
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| 3280. |
Solve the equation. 5x + 8 - 3x = -10. x = -9,x = -1,x = 1,x = 9 |
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Answer» Solve the equation. 5x + 8 - 3x = - 10. Solution: |
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| 3281. |
Find the sum of 7a3 + 14a + 12 and -6a3 + 12a2 - 7. |
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Answer» Find the sum of 7a3 + 14a + 12 and -6a3 + 12a2 - 7. Solution: |
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| 3282. |
What is the slope of the line that passes through the points (-2, 5) and (1, 4)? |
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Answer» What is the slope of the line that passes through the points (-2, 5) and (1, 4)? Solution: |
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| 3283. |
How can I convert centimeters to meters? Explain with an example |
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Answer» To convert centimeters to meters we will multiply the given quantity (in cm) with 0.01 Centimeters and Meters are measuring units used to measure lengthsand distances. |
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| 3284. |
Given the geometric sequence where a1 = 5 and the common ratio is −3, what is the domain for n? All integers where n ≥ 0, All integers where n ≥ 1, All integers where n ≥ 5, All integers where n ≤ 5 |
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Answer» Given the geometric sequence where a1 = 5 and the common ratio is −3, what is the domain for n? All integers where n ≥ 0, All integers where n ≥ 1, All integers where n ≥ 5, All integers where n ≤ 5 Solution: |
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| 3285. |
Find the slant height for a right circular cone with a radius of 3 cm and a height of 5 cm. |
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Answer» Find the slant height for a right circular cone with a radius of 3 cm and a height of 5 cm. Solution: |
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| 3286. |
What does locus mean? |
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Answer» Locus is a set of points that satisfy the given geometric conditions. We will learn about the locus of a point here. |
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| 3287. |
Gary made $6,975 working 25 hours a week for 18 weeks. How much did he earn per hour? |
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Answer» Gary made $6,975 working 25 hours a week for 18 weeks. How much did he earn per hour? Solution: |
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| 3288. |
Solve the inequality. 2(4 + 2x) ≥ 5x + 5? |
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Answer» The inequality 2(4 + 2x) ≥ 5x + 5, holds true for all values of x less than or equal to 3. The basic difference between inequality and an equation is that inequality gives a range of solutions, while an equation gives an exact value or values. |
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| 3289. |
What does least-squares mean? |
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Answer» The least-squares method is used in statistics to find the lineof best fitto the given data. The least-squares method is used in statistics. |
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| 3290. |
How does one find the length of the hypotenuse in a right triangle? |
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Answer» We can findthe length of the hypotenuse in a right triangle using the Pythagoras theorem. The length of the hypotenuse in a right triangle can be found by using the Pythagoras theorem. |
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| 3291. |
Write the equation of the circle with center (-3, -2) and (4, 5) a point on the circle. |
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Answer» Write the equation of the circle with center (-3, -2) and (4, 5) a point on the circle. Solution: |
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| 3292. |
Determine if the following function is even, odd, or neither. f(x) = -9x4+ 5x + 3 |
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Answer» Determine if the following function is even, odd, or neither. f(x) = -9x4+ 5x + 3 Solution: |
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| 3293. |
What is 4 to the power of 8? |
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Answer» 4 to the power 8 is 65536. We have tosolvethe above question by the multiplication rule of exponents. The powerof a number shows that how many times we use the number in a multiplication. |
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| 3294. |
If p(x) = x2 + 7x + 3 is divided by x + 4, the remainder is |
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Answer» If p(x) = x2+ 7x + 3 is divided by x + 4, the remainder is Solution: |
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| 3295. |
Prove that 3 + 2√5 is an irrational number. |
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Answer» Hence proved that 3 + 2√5is an irrational number Rational numbers are integers that are expressed in the form of p / q where p and q are both co-prime numbers and q is non zero. |
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| 3296. |
What is the vertex of g(x) = 8x2 - 64x? (4, -128), (-4, -128), (4, -16), (-4, -16) |
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Answer» What is the vertex of g(x) = 8x2 - 64x? Solution: |
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| 3297. |
The square of a number is 12 less than 7 times the number. What is the number? |
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Answer» The square of a number is 12 less than 7 times the number. What is the number? Solution: |
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| 3298. |
A right triangular prism is shown. What is the volume of the prism? |
| Answer» The volume of the prism given is 900 cubic units. | |
| 3299. |
What is 1/2 to the power of 5? |
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Answer» 1/2 to the power of 5is 1/32or 0.03125. Exponent rulesstate that the power of a givennumber signifies how many times the number is being multiplied with itself. |
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| 3300. |
18 is divisible by both 2 and 3. It is also divisible by 2 x 3 = 6. Similarly, a number is divisible by 4 and 6. Can we say that the number must be divisible by 4 x 6 = 24? If not, give an example to justify your answer. |
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Answer» The statement is false. We will check the divisibility by 12 to answer the question. |
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