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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.
| 1151. |
Which of the following could be the lengths of the sides of a 45°-45°-90° triangle? √3/2, √3/2,√2 3√2, 3√2, 6 √3, 3, 2√3 3, 4, 5 |
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Answer» Which of the following could be the lengths of the sides of a 45°-45°-90° triangle? Solution: |
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| 1152. |
What is the domain of f(x) = 3x - 2? {x | x > 0}, {x | x < 0}, {x | x = 0}, {x | x is a real number} |
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Answer» What is the domain of f(x) = 3x - 2? {x | x > 0}, {x | x < 0}, {x | x = 0}, {x | x is a real number} Solution: |
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| 1153. |
What is the domain of f(x) = 5x - 7? {x | x > -7}, {x | x < -7}, {x | x > 0}, {x | x is a real number} |
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Answer» What is the domain of f(x) = 5x - 7? {x | x > -7}, {x | x < -7}, {x | x > 0}, {x | x is a real number} Solution: |
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| 1154. |
Find the values of b such that the function has the given maximum value. f(x) = -x2 + bx - 14; Maximum value: 86 |
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Answer» Find the values of b such that the function has the given maximum value. f(x) = -x2+ bx - 14; Maximum value: 86 Solution: |
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| 1155. |
What is the range of f(x) = 3x + 9 given x > 0? {y | y < 9}, {y | y > 9}, {y | y > 3}, {y | y < 3} |
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Answer» What is the range of f(x) = 3x + 9 given x > 0? Solution: |
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| 1156. |
A person has 8 friends, of whom 5 will be invited to a party: a) How many choices are there if 2 of the friends are feuding and will not attend together? b) how many choices if 2 of the friends will only attend together? |
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Answer» A person has 8 friends, of whom 5 will be invited to a party: a) How many choices are there if 2 of the friends are feuding and will not attend together? b) how many choices if 2 of the friends will only attend together? Solution: |
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| 1157. |
What is the range of the function f(x) = 12 -3x for the domain {-4, -2, 0, 2, 4}? |
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Answer» What is the range of the function f(x) = 12 - 3x for the domain {-4, -2, 0, 2, 4}? Solution: |
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| 1158. |
Find the next three terms in the sequence 3, 12, 21 |
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Answer» Find the next three terms in the sequence 3, 12, 21 Solution: |
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| 1159. |
Determine whether the sequence is geometric. If so, then find the common ratio. 3, 12, 21, 30, . . . |
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Answer» Determine whether the sequence is geometric. If so, then find the common ratio. 3, 12, 21, 30, . . . Solution: |
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| 1160. |
If u(x) = -2x2 + 3 and v(x) = 1/x what is the range of (u*v)(x) |
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Answer» If u(x) = -2x2 + 3 and v(x) = 1/x what is the range of (u*v)(x) Solution: |
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| 1161. |
A falling stone takes 0.33 s to travel past a window 2.2m tall From what height above the top of the window did the stone fall? |
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Answer» A falling stone takes 0.33 s to travel past a window 2.2m tall From what height above the top of the window did the stone fall? Solution: |
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| 1162. |
If u is a unit vector, find u · v and u · w. (assume v and w are also unit vectors.) Equilateral triangle. |
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Answer» If u is a unit vector, find u · v and u · w. (assume v and w are also unit vectors.) Equilateral triangle. Solution: |
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| 1163. |
Find the maximum or minimum value of the quadratic function by completing the squares. Also, state the value of x at which the function is maximum or minimum. y = 2x2- 4x + 7 |
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Answer» Find the maximum or minimum value of the quadratic function by completing the squares. Also, state the value of x at which the function is maximum or minimum. y = 2x2 - 4x + 7 Solution: |
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| 1164. |
Use the unit circle to find the inverse function value in degrees tan-1√3. |
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Answer» Use the unit circle to find the inverse function value in degrees tan-1√3. Solution: |
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| 1165. |
Draw the graph of x + 2y ≥ -4. |
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Answer» Draw the graph of x + 2y ≥ -4. Solution: |
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| 1166. |
What is the range of the function f (x) = -(x + 5) (x + 1) ? |
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Answer» What is the range of the function f (x) = -(x + 5) (x + 1) ? Solution: |
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| 1167. |
What is the range of the function f(x) = -2(6x) + 3? |
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Answer» What is the range of the function f(x) = -2(6x) + 3? Solution: |
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| 1168. |
How can you write the expression with a rationalized denominator? sqrt3 - sqrt6 / sqrt 3 + sqrt 6? |
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Answer» How can you write the expression with rationalized denominator? sqrt3 - sqrt6 / sqrt 3 + sqrt 6? Solution: |
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| 1169. |
Solve the system y = x - 2 and y = -2x + 7 |
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Answer» Solve the system y = x - 2 and y = -2x + 7 Solution: |
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| 1170. |
What transformations change the graph of f(x) to the graph of g(x)? f(x) = -7x2,g(x) = -35x2+ 5 |
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Answer» What transformations change the graph of f(x) to the graph of g(x)? f(x) = -7x2, g(x) = -35x2+ 5 Solution: |
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| 1171. |
What is the range of the function f(x) = 3x - 12 for the domain {-2, 2}? |
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Answer» What is the range of the function f(x) = 3x - 12 for the domain {-2, 2}? Solution: |
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| 1172. |
If g(x) = x + 1/x - 2 and h(x) = 4 - x, what is the value of g(h(-3))? |
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Answer» If g(x) = x + 1/x - 2 and h(x) = 4 - x, what is the value of g(h(-3))? Solution: |
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| 1173. |
The diameter of a round dinner plate is 10 inches. What's the area of the plate? |
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Answer» The diameter of a round dinner plate is 10 inches. What's the area of the plate? Solution: |
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| 1174. |
Solve x - 2y = 6 and 3x - 6y = 18 |
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Answer» Solve x - 2y = 6 and 3x - 6y = 18 Solution: |
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| 1175. |
How many b1 fire extinguishers must motor boats between 26 and 40 feet have aboard? |
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Answer» How many b1 fire extinguishers must motor boats between 26 and 40 feet have aboard? Solution: |
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| 1176. |
The system of equations 3x - 6y = 20 and 2x - 4y = 3 is |
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Answer» The system of equations 3x - 6y = 20 and 2x - 4y = 3 is Solution: |
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| 1177. |
The equation of line XYis (y − 3) = (x − 4). What is the slope of a line perpendicular to XY? |
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Answer» The slope of the line perpendicular to XY is -1. Perpendicular lines are those lines that intersect at 90 degrees. Let's see how we can find the slope of a line perpendicular to another line. |
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| 1178. |
What is the slope for the line perpendicular to the line shown in the graph? -3,-1/3,3,1/3 |
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Answer» What is the slope for the line perpendicular to the line shown in the graph?
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| 1179. |
What is the range of the function y = 1 + 2sin(x - π)? |
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Answer» What is the range of the function y = 1 + 2sin(x - π)? Solution: |
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| 1180. |
What is the range of the function y = 2sin x? |
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Answer» What is the range of the function y = 2sin x? Solution: |
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| 1181. |
Find an equation of the tangent line to the graph at the given point? 3(x2+ y2)2= 100(x2+ y2), (-4, -2) |
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Answer» Find an equation of the tangent line to the graph at the given point? 3(x2+ y2)2= 100(x2+ y2), (-4, -2)
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| 1182. |
Find the exact length of the polar curve. r = θ2, 0 ≤ θ ≤ 3π/2. |
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Answer» Find the exact length of the polar curve. r = θ2, 0 ≤ θ ≤ 3π/2. Solution: |
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| 1183. |
A plane is a set of ____________ on a flat surface that extends forever. |
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Answer» Aplane is a set of points on a flat surface that extends forever. A plane is a unique surface with no thickness present in it. |
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| 1184. |
What value of x is in the solution set of 2x - 3 > 11 - 5x? -3,0,2,4 |
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Answer» What value of x is in the solution set of 2x - 3 > 11 - 5x? Solution: |
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| 1185. |
Which figure represents the image of parallelogram LMNP after a reflection across the line y = x? Figure A, Figure B, Figure C, Figure D |
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Answer» Which figure represents the image of parallelogram LMNP after a reflection across the line y = x? Figure A, Figure B, Figure C, Figure D
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| 1186. |
When the coordinates (2, 3), (4, 4), (6, 3), and (4, 2) are joined, which shape is formed? |
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Answer» When the coordinates (2, 3), (4, 4), (6, 3), and (4, 2) are joined, which shape is formed? Solution: |
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| 1187. |
What is the slope of a trend line that passes through the points (-3, 3) and (18, 26)? |
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Answer» What is the slope of a trend line that passes through the points (-3, 3) and (18, 26)? Solution: |
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| 1188. |
Which point lies on a circle with a radius of 5 units and center at P(6, 1)? Q(1, 11),R(2, 4),S(4, -4),T(9, -2) |
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Answer» Which point lies on a circle with a radius of 5 units and center at P(6, 1)? Solution: |
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| 1189. |
What is the equation of the line that passes through the points (-1,3) and (1,11)? |
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Answer» What is the equation of the line that passes through the points (-1,3) and (1,11)? Solution: |
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| 1190. |
Explanation: |
| Answer» Thus, Abscissaof any point onyaxis is0. | |
| 1191. |
What is the Abscissa of all the points on the y-axis? |
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Answer» The Abscissa of all the points on y axis is 0 In a coordiante system, Abscissa is the distance from y- axis. |
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| 1192. |
How to tell if a graph is even or odd or neither of the two? |
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Answer» How to tell if a graph is even or odd or neither of the two? Solution: |
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| 1193. |
Find a vector that has the same direction as -2, 6, 4 but has length 6. |
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Answer» Find a vector that has the same direction as -2, 6, 4 but has length 6. Solution: |
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| 1194. |
At what values of x does f(x) = x3 − x have a local maximum or minimum? |
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Answer» At what values of x does f(x) = x3 − x have a local maximum or minimum? Solution: |
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| 1195. |
Find the coordinates of the midpoint of the segment whose endpoints are h(6, 4) and k(2, 8). |
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Answer» Find the coordinates of the midpoint of the segment whose endpoints are h(6, 4) and k(2, 8). Solution: |
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| 1196. |
Evaluate the Surface Integral.S is the part of the paraboloid y = x2 + z2 that lies inside the cylinder x2 + z2 = 1. |
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Answer» Evaluate the Surface Integral.S is the part of the paraboloid y = x2 + z2 that lies inside the cylinder x2 + z2 = 1. Solution: |
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| 1197. |
Find P(Y|B) from the information in the table. To the nearest tenth, what is the value of P(Y|B)? |
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Answer» Find P(Y|B) from the information in the table. To the nearest tenth, what is the value of P(Y|B)? Solution: |
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| 1198. |
Determine two pairs of polar coordinates for the point (3, -3) with 0° ≤ θ < 360°? |
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Answer» Determine two pairs of polar coordinates for the point (3, -3) with 0° ≤ θ < 360°? Solution: |
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| 1199. |
Find a polar equation for the curve represented by the given Cartesian equation. x2 + y2 = 12cx |
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Answer» Find a polar equation for the curve represented by the given Cartesian equation. x2 + y2 = 12cx Solution: |
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| 1200. |
Find a polar equation for the curve represented by the given Cartesian equation. y = 1 + 3x |
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Answer» Find a polar equation for the curve represented by the given Cartesian equation. y = 1 + 3x Solution: |
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