Use a finite approximation to estimate the area under the graph of the given function on the stated interval as instructed.f(x) = x2 between x = 4 and x = 8 using a left sum with four rectangles of equal width.

A. 174
B. 149
C. 126
D. 165


Answer: C

Mathematics

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Solve the problem.Find the volume of a triangular pyramid with base area 17 ft2 and height 5 ft. Find the result to the nearest unit.

A. 28 ft3 B. 26 ft3 C. 43 ft3 D. 85 ft3

Mathematics

Graph the solution set of the system of inequalities or indicate that the system has no solution.2x + y > 102x + y < -1

A. no solution

B.

C.

D.

Mathematics

Solve the inequality. Express your answer using interval notation. Graph the solution set.4x + 5 ? 3x + 10

A. [5, ?)

B. (-?, 5)

C. (-?, 5]

D. [15, ?)

Mathematics

Solve.A baseball player hit a baseball with an initial speed of 170 feet per second at an angle of 40° to the horizontal. The ball was hit at a height of 3 feet off the ground. Find parametric equations that describe the motion of the ball as a function of time. How long is the ball in the air? When is the ball at its maximum height? What is the distance the ball traveled?

A. x = 130.22t and y = -16t2 + 109.31t + 3 6.859 sec, 3.416 sec, 893.179 feet B. x = 130.22t and y = -16t2 + 109.31t + 3 6.859 sec, 3.416 sec, 1502.491 feet C. x = 130.22t and y = -16t2 + 109.31t + 3 13.718 sec, 3.416 sec, 1786.358 feet D. x = 130.22t and y = -16t2 + 109.31t + 3 6.804 sec, 3.416 sec, 886.017 feet

Mathematics