The formula s = 16t2 is used to approximate the distance s, in feet, that an object falls freely (from rest) in t seconds. Use this formula to solve the problem. (Round answer to the nearest tenth.)A man drops his keys off a building 1210 ft high. How long does it take the keys, falling freely, to hit the ground?
A. About 139.1 sec
B. About 8.7 sec
C. About 75.6 sec
D. About 37.8 sec
Answer: B
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Graph the function f(x) over the given interval. Partition the interval into 4 subintervals of equal length. Then add to your sketch the rectangles associated with the Riemann sum , using the indicated point in the kth subinterval for ck.f(x) = -2x - 2, [0, 2], left-hand endpoint
A.
B.
C.
D.
Find the largest open interval where the function is changing as requested.Increasing f(x) =
A. (0, ?) B. (-?, 0) C. (1, ?) D. (-?, 1)
Use Cramer's rule to solve the linear system. If D = 0, use another method to determine the solution set. x + y = 78x + 8y = 56
A. Cramer's rule does not apply since D = 0; ? B. {(0, 0)} C. Cramer's rule does not apply since D = 0; {(7 - y, y)} D. {(1, 6)}
Choose the equation that matches the graph.
A. 4y2 = x B. x2 = 4y C. 4x2 = -y D. 4x2 = y