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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.
| 5601. |
Find 10 partial sums of the series. (Round your answers to five decimal places.) \(\sum_{n=1}^{\infty }cos(6n)\). Also, graph both the sequence of terms and the sequence of partial sums. |
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Answer» Find 10 partial sums of the series. (Round your answers to five decimal places.)\(\sum_{n=1}^{\infty }cos(6n)\). Also graph both the sequence of terms and the sequence of partial Solution: |
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| 5602. |
What number should be added to the expression x2+2x to change it into a perfect square trinomial? |
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Answer» What number should be added to the expression x2+2x to change it into a perfect square trinomial? Solution: |
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| 5603. |
An acute angle θ is in a right triangle with sin θ = one half. What is the value of cot θ? |
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Answer» An acute angle θ is in a right triangle with sin θ = one half. What is the value of cot θ? Solution: |
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| 5604. |
If the surface area of a cell increases by a factor of 100, the volume of that cell will Decrease by a factor of 100. Increase by a factor of 100. Increase by a factor of 1000. Remain the same. Increase by a factor of 10. |
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Answer» If the surface area of a cell increases by a factor of 100, the volume of that cell will Decrease by a factor of 100. Increase by a factor of 100. Increase by a factor of 1000. Remain the same. Increase by a factor of 10. Solution: |
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| 5605. |
Find 10 partial sums of the series. (Round your answers to five decimal places.) \(\sum_{n=1}^{\infty }\frac{16}{(-3)^{n}}\) |
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Answer» Find 10 partial sums of the series. (Round your answers to five decimal places.) \(\sum_{n=1}^{\infty }\frac{16}{(-3)^{n}}\) Solution: |
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| 5606. |
Find the remainder when f(x) = 5x3 + 7x + 5 is divided by x + 2. -49, -7,11,59 |
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Answer» Find the remainder when f(x) = 5x3 + 7x + 5 is divided by x + 2. Solution: |
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| 5607. |
Find the solution of the integral (sin 2x) / (sin⁴ x + cos⁴ x) |
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Answer» The solution of∫ [(sin 2x) / (sin⁴ x + cos⁴ x)] dx = [ tanֿ¹ ( tan² x ) ] + C The process of finding the antiderivative of a function is called integration. |
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| 5608. |
What is the missing number in the sequence 1, 8, 27, __, 125, 216? |
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Answer» What is the missing number in the sequence 1, 8, 27, __, 125, 216? Solution: |
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| 5609. |
Find the coordinates of two points on the line with the given equation y = -3x + 11, and hence, find its slope? |
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Answer» Find the coordinates of two points on the line with the given equation y = -3x + 11, and hence, find its slope? Solution: |
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| 5610. |
Solve 5x - 6y = -38 and 3x + 4y = 0 (4, 3),(-4, 3),(4, -3),(-4, -3) |
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Answer» Solve 5x - 6y = -38 and 3x + 4y = 0 Solution: |
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| 5611. |
How many solutions exist for the given equation? 3(x - 2) = 22 - x |
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Answer» How many solutions exist for the given equation? 3(x - 2) = 22 - x Solution: |
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| 5612. |
How to find the x and y-intercepts of a quadratic function. |
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Answer» How to find the x and y-intercepts of a quadratic function. Solution: |
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| 5613. |
What is the solution of the system of equations? 6x - 2y = 4 and -9x + 3y = 12 |
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Answer» What is the solution of the system of equations? 6x - 2y = 4 and -9x + 3y = 12 Solution: |
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| 5614. |
Which equation has only one solution? |x - 5| = - 1, |- 6 - 2x| = 8, |5x + 10| = 10, |- 6x + 3| = 0 |
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Answer» Which equation has only one solution? |x - 5| = - 1, |- 6 - 2x| = 8, |5x + 10| = 10, |- 6x + 3| = 0 Solution: |
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| 5615. |
What is the y-value of the solution to the system of equations? 3x + 5y = 1; 7x + 4y = - 13 |
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Answer» What is the y-value of the solution to the system of equations? 3x + 5y = 1 7x + 4y = - 13 Solution: |
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| 5616. |
Which equation represents "the sum of eight times a number and seven is twice the number"? 8(7 + 2N) 8N = 7 + 2N. 7N + 8 = 2N 8N + 7 = 2N |
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Answer» Which equation represents "the sum of eight times a number and seven is twice the number"? Solution: |
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| 5617. |
Simplify open parentheses x to the 2 third power close parentheses to the 4 fifths power. |
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Answer» Simplify open parentheses x to the 2 third power close parentheses to the 4 fifths power. Solution: |
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| 5618. |
Given that a, b, and c are non-zero real numbers and a + b ≠ 0, solve for x, ax + bx - c = 0. |
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Answer» Given that a, b, and c are non-zero real numbers and a + b ≠ 0, solve for x, ax + bx - c = 0. Solution: |
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| 5619. |
What is 2 raised to 12thpower? |
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Answer» The value of 2 raised to 12thpower i.e., 212is 4096. The exponent of a number shows how many times the number is multiplied by itself. |
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| 5620. |
What is the rate of change for f(x) = - 2 cos(4x - 3) on the interval from x = pi/4 to x = pi/2? |
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Answer» What is the rate of change for f(x) = - 2 cos(4x - 3) on the interval from x = pi/4 to x = pi/2? Solution: |
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| 5621. |
What is 31/8 as a mixed number? |
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Answer» 31/8as a mixed number is3 7/8 Animproper fractionis a typeof fractionwhere the numerator is greater than or equal to the denominator. |
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| 5622. |
Which of the following polynomials has zeros at x = -4 and x = 7? 4x2- 7x - 11, 4x2- 49, 7x2- 4x + 28, x2- 3x - 28 |
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Answer» Which of the following polynomials has zeros at x = -4 and x = 7? Solution: |
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| 5623. |
Let f(x) = 8x3 - 28x + 61 and g(x) = 2x + 5. Find f(x)/ g(x) |
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Answer» Let f(x) =8x3 - 28x + 61 and g(x) 2x + 5. Find f(x)/ g(x) Solution: |
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| 5624. |
If f(x) = 2a|3x - 9| - ax, where a is some constant not equal to zero, find f′(3)? |
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Answer» If f(x) = 2a|3x - 9| - ax, where a is some constant not equal to zero, find f′(3)? Solution: |
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| 5625. |
What is 17/7 as a mixed number? |
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Answer» 17/7 as a mixed number can be written as2 3/7 Amixed fractionis defined as a fraction formedby combining a whole number and a fraction. |
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| 5626. |
What is the SI unit of weight? |
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Answer» What is the SI unit of weight? Solution: |
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| 5627. |
Using a directrix of y = -2 and a focus of (1, 6), what quadratic function is created? |
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Answer» Using a directrix of y = -2 and a focus of (1, 6), what quadratic function is created? Solution: |
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| 5628. |
A coin is tossed 5 times. Find the probability that all 5 tosses are tails. |
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Answer» A coin is tossed 5 times. Find the probability that all 5 tosses are tails. Solution: |
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| 5629. |
What is the equation in point-slope form of the line passing through (1, 2) and (2, 5)? |
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Answer» What is the equation in point-slope form of the line passing through (1, 2) and (2, 5)? Solution: |
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| 5630. |
Solve the equation: 15/4 - 7x =9 |
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Answer» The value of x for the given equation 15/4 - 7x =9is -3/4. The solution to this equation is obtained by shifting the terms, thereby simplifying the given expression. |
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| 5631. |
A single die is rolled. Find the probability of rolling an odd number or a number less than 6. |
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Answer» A single die is rolled. Find the probability of rolling an odd number or a number less than 6. Solution: |
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| 5632. |
If f is continuous on (-∞, ∞), what can you say about its graph? (select all that apply.) The graph of f has a hole. The graph of f has a jump. The graph of f has a vertical asymptote. None of these |
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Answer» If f is continuous on (-∞, ∞), what can you say about its graph? (select all that apply.) Solution: |
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| 5633. |
What is the point on the line y = 2x + 3 that is closest to the origin? |
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Answer» What is the point on the line y = 2x + 3 that is closest to the origin? Solution: |
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| 5634. |
What is the 7th term of the geometric sequence where a1 = 256 and a3 = 16? |
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Answer» What is the 7th term of the geometric sequence where a1 = 256 and a3 = 16? Solution: |
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| 5635. |
How many solutions exist for the given equation? 3(x+10) + 6 = 3(x+12) |
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Answer» How many solutions exist for the given equation? 3(x+10)+6 = 3(x+12) Solution: |
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| 5636. |
Suppose y = √(2x + 1), where x and y are functions of t (a) If dx/dt = 15, find dy/dt, when x = 4 (b) If dy/dt = 2, find dx/dt, when x = 40 |
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Answer» Suppose y = √(2x + 1), where x and y are functions of t (a) If dx/dt = 15, find dy/dt, when x = 4 (b) If dy/dt = 2, find dx/dt, when x = 40 Solution: |
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| 5637. |
The product of two consecutive negative integers is 600. What is the value of the lesser integer? |
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Answer» The product of two consecutive negative integers is 600. What is the value of the lesser integer? Solution: |
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| 5638. |
What is 1/3of 12? |
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Answer» 1/3of 12 is 4. Themultiplication of fractionsstarts with the multiplication of the given numerators, followed by the multiplication of the denominators. |
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| 5639. |
Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 3 cos 5θ? |
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Answer» Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 3 cos 5θ? Solution: |
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| 5640. |
If the equation of a line is y = 3x + 2, which point cannot be on the line? (1/3, 3),(2, 8),(0, 2),(7, 19) |
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Answer» If the equation of a line is y = 3x + 2, which point cannot be on the line? Solution: |
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| 5641. |
The perimeter of a rectangle is 34 units, its width is 6.5 units. Write an equation to determine the length (l) of the rectangle. |
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Answer» The perimeter of a rectangle is 34 units, its width is 6.5 units. Write an equation to determine the length (l) of the rectangle. Solution: |
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| 5642. |
Aditya has built a cubical water tank with lid for his house with each outer edge equal to 1.5 m. He gets the outer surface of the tank including the base, covered with square tiles of side 25cm. Find how much he would spend on tiles if the cost of tile is Rs 480 per dozen? |
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Answer» Aditya will have to spend Rs 7200. A cube is a three-dimensional object that has 6 congruent square faces. |
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| 5643. |
If I flip a coin twice, what is the probability of getting both heads? |
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Answer» If I flip a coin twice, what is the probability of getting both heads? Solution: |
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| 5644. |
Find the 3 quartiles in the following data set: 55, 55, 59, 60, 62, 65, 64 |
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Answer» Find the 3 quartiles in the following data set: 55, 55, 59, 60, 62, 65, 64 Solution: |
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| 5645. |
Select the term that describes the linear portion in this quadratic equation 7x2 - 12x + 16 = 0 -12x,7x2,16,None of the above |
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Answer» Select the term that describes the linear portion in this quadratic equation 7x2 - 12x + 16 = 0 Solution: |
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| 5646. |
Find the possible value or values of y in the quadratic equation 4 - 4y - y2 = 0. |
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Answer» Find the possible value or values of y in the quadratic equation 4 - 4y - y2 = 0. Solution: |
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| 5647. |
What is the length of the radius of the circle? |
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Answer» The radius is half the length of the diameter. We will relate the radius and diameter of the circle to answer this question. |
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| 5648. |
What constant term should be used to complete the square? x2 - 5x + _____ = 7 |
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Answer» What constant term should be used to complete the square? x2 - 5x + _____ = 7 Solution: |
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| 5649. |
The unit value of a cubic centimeter is the same as which metric measurement? |
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Answer» The unit value of a cubic centimeter is the same as 0.001 liters or 1 milliliter. For this question, we need to find the conversion rate between cubic centimeters and liters. |
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| 5650. |
What is the probability of rolling two six-sided dice and obtaining a 6 and a 6? |
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Answer» What is the probability of rolling two six-sided dice and obtaining a 6 and a 6? Solution: |
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