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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.
| 1801. |
In △pqr, find the measure of ∡p. 30.4°, 35.9°, 59.6°, 54.1° |
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Answer» In △pqr, find the measure of ∡p.
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| 1802. |
Without graphing is the system independent dependent or inconsistent -2x - y = 9 and 3x - 4y = -8 |
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Answer» Without graphing is the system independent dependent or inconsistent -2x - y = 9 and 3x - 4y = -8 Solution: |
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| 1803. |
Simplify the rational expression state any restrictions on the variable t2 + t - 6/t2 - 9 |
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Answer» Simplify the rational expression state any restrictions on the variable t2 + t - 6/t2 - 9 Solution: |
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| 1804. |
Angle G is a circumscribed angle of circle E. Major arc FD measures 280°.Circle E is shown. Line segments FE and DE are radii. A line is drawn to connect points F and D. Tangents FG and DG intersect at point G outside of the circle. Major arc FD measures 280 degrees. What is the measure of angle GFD? |
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Answer» Angle G is a circumscribed angle of circle E. Major arc FD measures 280°.Circle E is shown. Line segments FE and DE are radii. A line is drawn to connect points F and D. Tangents FG and DG intersect at point G outside of the circle. Major arc FD measures 280 degrees. What is the measure of angle GFD?
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| 1805. |
Find the value of two numbers if their sum is 12 and their difference is 4 |
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Answer» Find the value of two numbers if their sum is 12 and their difference is 4 Solution: |
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| 1806. |
In a particular region of a national park, there are currently 330 deer, and the population is increasing at an annual rate of 11% a) Write an exponential function to model the deer population in terms of the number of years from now. b) Explain what each value in the model represents c) Predict the number of deer that will be in the region after five years. |
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Answer» In a particular region of a national park, there are currently 330 deer, and the population is increasing at an annual rate of 11% a) Write an exponential function to model the deer population in terms of the number of years from now. b) Explain what each value in the model represents c) Predict the number of deer that will be in the region after five years. Solution: |
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| 1807. |
A sphere has a diameter of 10 in. What is the volume of the sphere? |
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Answer» A sphere has a diameter of 10 in. What is the volume of the sphere? Solution: |
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| 1808. |
What is the smallest positive value for x where y = sin 2x reaches its maximum? |
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Answer» What is the smallest positive value for x where y = sin 2x reaches its maximum? Solution: |
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| 1809. |
Which table describes the behavior of the graph of f(x) = 2x3- 26x - 24? |
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Answer» Which table describes the behavior of the graph of f(x) = 2x3- 26x - 24? Solution: |
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| 1810. |
Rewrite the radical as a rational exponent. the fourth root of 7 to the fifth power |
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Answer» Rewrite the radical as a rational exponent. the fourth root of 7 to the fifth power Solution: |
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| 1811. |
Solve and graph the absolute value inequality: |2x + 1| ≤ 5. |
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Answer» Solve and graph the absolute value inequality: |2x + 1| ≤ 5. Solution: |
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| 1812. |
Find two unit vectors orthogonal to both 4, 6, 1 and -1, 1, 0 . |
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Answer» Find two unit vectors orthogonal to both 4, 6, 1 and -1, 1, 0 . Solution: |
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| 1813. |
If h(x) = 6 - x what is the value of (h*h)(10) |
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Answer» If h(x) = 6 - x what is the value of (h×h)(10) Solution: |
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| 1814. |
What are the zeroes of f(x) = x2 - 2x - 3? |
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Answer» What are the zeroes of f(x) = x2- 2x - 3? Solution: |
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| 1815. |
What is the absolute value of the complex number -4-√2i? √14, 3√2, 14, 18 |
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Answer» What is the absolute value of the complex number -4 - √2i? Solution: |
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| 1816. |
Find the general solution of the given second-order differential equation. 8y'' + y' = 0 |
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Answer» Find the general solution of the given second-order differential equation. 8y'' + y' = 0 Solution: |
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| 1817. |
What is the vertex of f(x) = |x + 8| - 3? |
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Answer» What is the vertex of f(x) = |x + 8| - 3? Solution: |
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| 1818. |
Which function below is the inverse of f(x) = x2 - 36? x squared over 36. ±6square root of x 1 over quantity x squared minus 36 ± square root of the quantity x plus 36 |
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Answer» Which function below is the inverse of f(x) = x2- 36? Solution: |
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| 1819. |
Which of the following terms appear in the expansion of (x + y)10? The letter a in each term represents a real constant. ax3y7, ay5, ax5, ax5y |
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Answer» Which of the following terms appear in the expansion of (x + y)10? The letter a in each term represents a real constant. Solution: |
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| 1820. |
What is the simplest form of the product 3 sqrt 4x2 |
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Answer» What is the simplest form of the product 3 sqrt 4x2 Solution: |
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| 1821. |
Find the nth degree polynomial function with real coefficients satisfying the given conditions. N = 3; -2 and 2 + 3i are zeros; the leading coefficient is 1. |
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Answer» Find the nth degree polynomial function with real coefficients satisfying the given conditions. N = 3; -2 and 2 + 3i are zeros; the leading coefficient is 1. Solution: |
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| 1822. |
If the sum of two numbers is 21 and their difference is 5 then find the numbers. |
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Answer» If the sum of two numbers is 21 and their difference is 5 then find the numbers. Solution: |
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| 1823. |
What is the quotient (2x3 - 15x2 - 10x + 16) ÷ (x - 8)? |
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Answer» What is the quotient (2x3 - 15x2 - 10x + 16) ÷ (x - 8)? Solution: |
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| 1824. |
In circle O, AC and BE are diameters. The measure of arc DC is 50°. What is the measure of EBC? |
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Answer» In circle O, AC and BE are diameters. The measure of arc DC is 50°. What is the measure of EBC?
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| 1825. |
Which triangle is similar to △ABC if sin(A) = 1/4, cos(A) = √15/4, and tan(A) = 1/√15? |
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Answer» Which triangle is similar to △ABC if sin(A) = 1/4, cos(A) = √15/4, and tan(A) = 1/√15?
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| 1826. |
What is the slope of the line 4x + 6y = 12? |
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Answer» What is the slope of the line 4x + 6y = 12? Solution: |
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| 1827. |
Determine in which direction the parabola below opens.y = x2 - 7x + 18 Left, right, up, down |
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Answer» Determine in which direction the parabola below opens.y = x2- 7x + 18 Solution: |
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| 1828. |
Find the derivative of the function using the definition of derivative. g(t) = 7t |
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Answer» Find the derivative of the function using the definition of derivative. g(t) = 7t Solution: |
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| 1829. |
Given f(x) = the quantity of 5x plus 1, divided by 2, solve for f-1(8). |
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Answer» Given f(x) = the quantity of 5x plus 1, divided by 2, solve for f-1(8). Solution: |
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| 1830. |
What is the value of y in the equation 5x + 2y = 20, when x = 0.3? |
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Answer» What is the value of y in the equation 5x + 2y = 20, when x = 0.3? Solution: |
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| 1831. |
If a triangle has a height of 14 inches and a base of 9 inches, what is its area? |
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Answer» If a triangle has a height of 14 inches and a base of 9 inches, what is its area? Solution: |
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| 1832. |
The lengths of the sides of a triangle are in the ratio 5 : 6 : 7. Describe the length of the longestside if the perimeter is less than 54 cm. |
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Answer» The lengths of the sides of a triangle are in the ratio 5 : 6 : 7. Describe the length of the longestside if the perimeter is less than 54 cm. Solution: |
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| 1833. |
If the smallest angle of rotation for a regular polygon is 18°, how many sides does the polygon have? |
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Answer» If the smallest angle of rotation for a regular polygon is 18°, how many sides does the polygon have? Solution: |
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| 1834. |
Divide -3x3 - 2x2 - x - 2 by x - 2. |
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Answer» Divide -3x3 - 2x2 - x - 2 by x - 2. Solution: |
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| 1835. |
Which of the following is a complex number? -7, 2 + √3, 4 + 9i, π |
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Answer» Which of the following is a complex number? Solution: |
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| 1836. |
What is the remainder when (x3 - 3x2 - 13x + 78) is divided by (x + 4)? |
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Answer» What is the remainder when (x3 - 3x2 - 13x + 78) is divided by (x + 4)? Solution: |
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| 1837. |
The length of the sides of a rectangular window have the ratio 1.7 to 1. The area of the windows is 2,720 square inches. What are the dimensions of the window? |
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Answer» The length of the sides of a rectangular window have the ratio 1.7 to 1. The area of the windows is 2,720 square inches. What are the dimensions of the window? Solution: |
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| 1838. |
By how much does a3 - 2a exceed a2 + a - 6? |
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Answer» By how much does a3- 2a exceed a2+ a - 6? Solution: |
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| 1839. |
Figure ABC is to be translated to Figure A'B'C' using the rule (x, y) → (x + 4, y -6). Triangle ABC on the coordinate plane with the ordered pairs for A as 1, 5, B as negative 1, 2, and C as 3, 1. Which coordinates will best represent point C'? |
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Answer» Figure ABC is to be translated to Figure A'B'C' using the rule (x, y) → (x + 4, y -6). Triangle ABC on the coordinate plane with the ordered pairs for A as 1, 5, B as negative 1, 2, and C as 3, 1. Which coordinates will best represent point C'? Solution: |
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| 1840. |
What is the m∠abc? m∠abc = 60°, m∠abc = 67°, m∠abc = 120°, m∠abc = 127° |
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Answer» What is the m∠abc? m∠abc = 60°, m∠abc = 67°, m∠abc = 120°, m∠abc = 127°
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| 1841. |
What are the first four terms of the sequence given by the formula below an = -2n + 4 |
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Answer» What are the first four terms of the sequence given by the formula below an = -2n + 4 Solution: |
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| 1842. |
In how many ways can a committee of 4 be chosen from a group of 8 people? |
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Answer» In how many ways can a committee of 4 be chosen from a group of 8 people? Solution: |
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| 1843. |
Transform the following polar equation into an equation in rectangular coordinates: r = -4 sinθ |
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Answer» Transform the following polar equation into an equation in rectangular coordinates: r = -4 sinθ Solution: |
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| 1844. |
Whichis the radical expression of 4d3/8? |
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Answer» Which is the radical expression of 4d3/8? Solution: |
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| 1845. |
Which correctly describes the roots of the following cubic equation x3 + 6x2 + 11x + 6 One real root, two complex roots Two real roots and one complex root Three real roots, two of which are equal value Three real roots, each with a different value |
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Answer» Which correctly describes the roots of the following cubic equation x3 + 6x2 + 11x + 6 Solution: |
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| 1846. |
If f(x) = 7 + 4x and g(x) = 1/2x, what is the value of (f/g)(5)? |
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Answer» If f(x) = 7 + 4x and g(x) = 1/2x, what is the value of (f/g)(5)? Solution: |
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| 1847. |
Use summation notation to write the series 49 + 54 + 59 +... for 14 terms |
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Answer» Use summation notation to write the series 49 + 54 + 59 +... for 14 terms Solution: |
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| 1848. |
Find the perimeter of the image below: 37 units, 38 units, 39 units, 40 units |
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Answer» Find the perimeter of the image below:37 units, 38 units, 39 units, 40 units
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| 1849. |
A store buys an item for $50 and marks it up 100%. What is the price? |
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Answer» A store buys an item for $50 and marks it up 100%. What is the price? Solution: |
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| 1850. |
Which of the following is the radical expression of 2d7/10? \(\sqrt[7]{2}d^{10}\),\(\sqrt[10]{2}d^{7}\), 2\(\sqrt[10]{d^{7}}\), 2\(\sqrt[7]{d^{10}}\) |
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Answer» Which of the following is the radical expression of 2d7/10? Solution: |
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