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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.
| 901. |
Find a vector that has the same direction as -6, 4, 2 but has length 6. |
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Answer» Find a vector that has the same direction as -6, 4, 2 but has length 6. Solution: |
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| 902. |
Find a polar equation for the curve represented by the given cartesian equation. y = 7 |
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Answer» Find a polar equation for the curve represented by the given cartesian equation. y = 7 Solution: |
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| 903. |
What should be the next number in the following series? 5000, 1000, 200, 40 |
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Answer» What should be the next number in the following series? 5000, 1000, 200, 40 Solution: |
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| 904. |
The point p(21, 28) is on the terminal side of θ. Evaluate sin θ. |
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Answer» The point p(21, 28) is on the terminal side of θ. Evaluate sin θ. Solution: |
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| 905. |
Find the range of the functionf(x) = x2 + 3 |
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Answer» The range of f(x) = x2 + 3 is [3, ∞). The range of a function is the set of all its outputs. |
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| 906. |
What is the equation has a graph that is a parabola with a vertex at (-2, 0)? |
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Answer» What is the equation has a graph that is a parabola with a vertex at (-2, 0)? Solution: |
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| 907. |
Solve this system algebraically. 7x - 2y = 4; 5y + 3x = 10 |
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Answer» Solve this system algebraically. 7x - 2y = 4; 5y + 3x = 10 Solution: |
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| 908. |
Find the range of {(3.2, -3), (7.6, 5.9), (1.4, -3), (-9.1, 8.3)}. |
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Answer» Find the range of {(3.2, -3), (7.6, 5.9), (1.4, -3), (-9.1, 8.3)}. Solution: |
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| 909. |
Find the Mean and Range of 18, 23, 10, 39, 22, 17, 16, 15. |
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Answer» Find the Mean and Range of 18, 23, 10, 39, 22, 17, 16, 15. Solution: |
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| 910. |
What is the axis of symmetry of h(x) = 5x² + 40x + 64? x = - 16, x = - 4, x = 4, x = 16 |
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Answer» What is the axis of symmetry of h(x) = 5x² + 40x + 64? x = - 16, x = - 4, x = 4, x = 16 Solution: |
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| 911. |
Find the domain, period, range, and amplitude of the cosine function. y = -6cos4x |
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Answer» Find the domain, period, range, and amplitude of the cosine function. y = -6cos4x Solution: |
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| 912. |
Find the exact value of cos-1(√3/2). |
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Answer» Find the exact value of cos-1(√3/2). Solution: |
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| 913. |
Which of the following is a conjugate for 7 + 2i? 7 - 2i, -7 + 2i, 7 + 2i, -7 - 2i |
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Answer» Which of the following is a conjugate for 7 + 2i? Solution: |
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| 914. |
Solve 3x2 + x + 10 = 0. Round solutions to the nearest hundredth. |
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Answer» Solve 3x2+ x + 10 = 0. Round solutions to the nearest hundredth. Solution: |
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| 915. |
If the diameter of circle C is 3 times greater than the diameter of circle D, the area of circle C is how many times the area of circle D? |
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Answer» If the diameter of circle C is 3 times greater than the diameter of circle D, the area of circle C is how many times the area of circle D? Solution: |
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| 916. |
Given the function f(x) = 2(x + 10), find x if f(x) = 24. |
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Answer» Given the function f(x) = 2(x + 10), find x if f(x) = 24. Solution: |
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| 917. |
Solve 3x2 + 2x + 7 = 0. Round solutions to the nearest hundredth. |
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Answer» Solve 3x2 + 2x + 7 = 0. Round solutions to the nearest hundredth. Solution: |
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| 918. |
Determine whether the given differential equation is exact. If it is exact, solve it.(5x + 4y) dx + (4x - 8y3) dy = 0. |
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Answer» Determine whether the given differential equation is exact. If it is exact, solve it. (5x + 4y) dx + (4x - 8y3) dy = 0. Solution: |
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| 919. |
For the function f(x) = -2(x + 3)2 - 1, identify the vertex, domain, and range. |
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Answer» For the function f(x) = -2(x + 3)2- 1, identify the vertex, domain, and range. Solution: |
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| 920. |
For the function f(x) = (x - 2)2 + 4, identify the vertex, domain, and range. |
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Answer» For the function f(x) = (x - 2)2+ 4, identify the vertex, domain, and range. Solution: |
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| 921. |
What is the quotient of (4x2 - 27x + 18) ÷ (x - 6)? |
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Answer» What is the quotient of (4x2 - 27x + 18) ÷ (x - 6)? Solution: |
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| 922. |
f(x) = x2 - 5, For the function shown, what is the range of the function when the domain is {2, 4, 7}? |
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Answer» f(x) = x2- 5, For the function shown, what is the range of the function when the domain is {2, 4, 7}? Solution: |
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| 923. |
Give an example of a function, f(x), with a domain of (0,5] and a range of [0,∞) |
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Answer» The example of a function with the domain of (0,5] and a range of [0,∞) isf(x) = √5 - x Domain corresponds to values of the function that are represented on the x-axis, while range corresponds to the values of the function that lie on the y-axis. |
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| 924. |
Find the number of sides of a regular polygon if one interior angle is 60 degrees. |
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Answer» Find the number of sides of a regular polygon if one interior angle is 60 degrees. Solution: |
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| 925. |
Find the numbers whose product is 100 and whose sum is minimum. |
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Answer» Find the numbers whose product is 100 and whose sum is minimum. Solution: |
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| 926. |
What is the value of n so that the expression x2+ 11x + n is a perfect square trinomial? |
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Answer» What is the value of n so that the expression x2+ 11x + n is a perfect square trinomial? Solution: |
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| 927. |
Write the standard form of the equation of the line through the given point with the given slope through:(1, 2), slope = 7. |
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Answer» Write the standard form of the equation of the line through the given point with the given slope through:(1, 2), slope = 7. Solution: |
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| 928. |
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 = <2, -4>, v = <3, -8> Solution: |
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| 929. |
The larger of two consecutive integers is 7 greater than twice the smaller. Find the integers. |
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Answer» The larger of two consecutive integers is 7 greater than twice the smaller.Find the integers. Solution: |
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| 930. |
If the volume of a spherical ball is increasing at the rate of 4π cc/sec, then the rate of increase of its radius (in cm/sec), when the volume is 288π cc, is |
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Answer» If the volume of a spherical ball is increasing at the rate of 4π cc/sec, then the rate of increase of its radius (in cm/sec), when the volume is 288π cc, is Solution: |
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| 931. |
What is the center and radius of the circle with the given equation (x - 1)2 + (y + 1)2 = 4 |
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Answer» What is the center and radius of the circle with the given equation (x - 1)2 + (y + 1)2 = 4 Solution: |
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| 932. |
Rewrite f(x) = 2(x - 1)2 + 3 from vertex form to standard form. |
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Answer» Rewrite f(x) = 2(x - 1)2+ 3 from vertex form to standard form. Solution: |
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| 933. |
Given the arithmetic sequence an = -1+7(n -1), what is the domain for n? |
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Answer» Given the arithmetic sequence an = -1+7(n -1), what is the domain for n? Solution: |
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| 934. |
Find all values of x in the interval [0, 2π] that satisfy the equation. (Enter your answers as a comma-separated list.)? 18 cos(x) - 9 = 0 |
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Answer» Find all values of x in the interval [0, 2π] that satisfy the equation. (Enter your answers as a comma-separated list.)? 18 cos(x) - 9 = 0 Solution: |
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| 935. |
Given the arithmetic sequence an = 2 - 3(n - 1), what is the domain for n? |
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Answer» Given the arithmetic sequence an = 2 - 3(n - 1), what is the domain for n? Solution: |
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| 936. |
Simplify and solve this equation: 4m + 9 + 5m - 12 = 42. |
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Answer» Simplify and solve this equation: 4m + 9 + 5m - 12 = 42. Solution: |
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| 937. |
Given the arithmetic sequence an = 2 + 4(n - 1), what is the domain for n? |
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Answer» Given the arithmetic sequence an = 2 + 4(n - 1), what is the domain for n? Solution: |
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| 938. |
Convert the angle 61°38'45" to decimal degrees, and round to the nearest hundredth of a degree. |
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Answer» Convert the angle 61°38'45" to decimal degrees, and round to the nearest hundredth of a degree. Solution: |
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| 939. |
Given that wa = 5x - 8 and wc = 3x + 2, find wb. |
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Answer» Given that wa = 5x - 8 and wc = 3x + 2, find wb.
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| 940. |
What is the probability that a five-card poker hand contains the ace of hearts? |
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Answer» What is the probability that a five-card poker hand contains the ace of hearts? Solution: |
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| 941. |
Given the arithmetic sequence an = -3 + 9(n - 1), what is the domain for n? |
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Answer» Given the arithmetic sequence an = -3 + 9(n - 1), what is the domain for n? Solution: |
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| 942. |
Simplify the expression (3x - 6)(2x2 - 4x - 5). |
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Answer» Simplify the expression (3x - 6)(2x2- 4x - 5). Solution: |
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| 943. |
Given the arithmetic sequence an = 3 + 2(n - 1), what is the domain for n? All integers where n ≥ 0 All real numbers All integers where n ≤ 1 All integers where n ≥ 1 |
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Answer» Given the arithmetic sequence an = 3 + 2(n - 1), what is the domain for n? Solution: |
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| 944. |
Given the arithmetic sequence an = 4 - 3(n - 1), what is the domain for n? |
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Answer» Given the arithmetic sequence an = 4 - 3(n - 1), what is the domain for n? Solution: |
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| 945. |
Use the given graph f over the interval (0, 7) to find the following: (a) The open intervals on which f is increasing. (b) The open intervals on which f is concave upward. (c) The open intervals on which f is concave downward. (d) The coordinates of the points of inflection. |
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Answer» Use the given graph f over the interval (0, 7) to find the following: (a) The open intervals on which f is increasing. (b) The open intervals on which f is concave upward. (c) The open intervals on which f is concave downward. (d) The coordinates of the points of inflection. Solution: |
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| 946. |
Given the arithmetic sequence an = 4 + 8(n - 1), What is the domain for n? |
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Answer» Given the arithmetic sequence an = 4 + 8(n - 1), What is the domain for n? Solution: |
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| 947. |
Given the following linear function, sketch the graph of the function and find the domain and range. f(x) = -5x + 4. |
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Answer» Given the following linear function, sketch the graph of the function and find the domain and range. f(x) = -5x + 4. Solution: |
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| 948. |
What could be the equation of a line that is perpendicular to the line represented by 2x - y = 7? |
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Answer» What could be the equation of a line that is perpendicular to the line represented by 2x - y = 7? Solution: |
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| 949. |
What is the quotient (91y3 + 21y2 - 35y) ÷ 7y? |
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Answer» What is the quotient (91y3+ 21y2- 35y) ÷ 7y? Solution: |
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| 950. |
In parallelogram ABCD , AE = x2 - 8 and CE = 2x. What is AC? |
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Answer» In parallelogram ABCD , AE = x2- 8 and CE = 2x. What is AC?
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