Solve the problem. Round your answer, if appropriate.A man 6 ft tall walks at a rate of 4 ft/sec away from a lamppost that is 16 ft high. At what rate is the length of his shadow changing when he is 50 ft away from the lamppost? (Do not round your answer)

A.  ft/sec
B.  ft/sec
C.  ft/sec
D.  ft/sec


Answer: C

Mathematics

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Find a formula for the inverse of the function described below.A size 12 dress in Country C is size 40 in Country D. A function that converts dress sizes in Country C to those in Country D is 

A. f-1(x) =   + 8
B. f-1(x) = 
C. f-1(x) =   - 8
D. f-1(x) = x - 8

Mathematics

Find the x-intercepts and y-intercept of the graph of the given quadratic equation.y = -x2 + 15x - 56

A. x-intercepts (-7, 0) and (-8, 0); y-intercept (0, -56) B. x-intercepts (7, 0) and (-8, 0); y-intercept (0, -56) C. x-intercepts (7, 0) and (8, 0); y-intercept (0, -56) D. x-intercepts (-7, 0) and (8, 0); y-intercept (0, 56)

Mathematics

Solve the problem.A rotating drill head is in the shape of a right circular cone of height 20 mm and radius 2.0 mm. Find the centroid.

A. 15 mm from the center of the base B. 13 mm from the center of the base C. 5.0 mm from the center of the base D. 18 mm from the center of the base

Mathematics

Compute the partial sum of the geometric series for the stated value of n. Round your answers to four decimal places.ak = (k-1); n= 9

A. S9 = 1.32462379 B. S9 = 3.65742379 C. S9 = 0.49542379 D. S9 = 1.49992379

Mathematics