Provide an appropriate response.Suppose that a ball is thrown straight down from the top of a building with an initial speed of 40 feet per second. If y represents the speed of the ball, in feet per second, and x represents the time, in seconds, after the ball is thrown, then 
a) Find the speed after 0, 2, and 4 seconds, and write the results as ordered pairs.b) Draw the graph for the above equation.c) From the graph, determine the time in seconds after the ball is dropped for it to reach a speed of 200 feet per second.
What will be an ideal response?
a) (0, 40), (2, 104), (4, 168)
b)
c) 5 seconds
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Write an equation for a function that has a graph with the given characteristics.The shape of y = ?x? is vertically stretched by a factor of 2.8. This graph is then reflected across the x-axis. Finally, the graph is shifted 0.65 units downward.
A. f(x) = 2.8?x? - 0.65 B. f(x) = 2.8?-x? - 0.65 C. f(x) = -2.8?x? - 0.65 D. f(x) = 2.8?x - 0.65?
P( X ? 9)
The probability density function of X is f (x) = 81 / x4 over [3, ?) . Compute the following quantity.
Determine whether the vectors u and v are parallel, orthogonal, or neither.u = 
, v = 
A. Parallel B. Orthogonal C. Neither
Use a calculator to evaluate the expression. Round the answer to three decimal places.(-6.14)2
A. 0.027 B. -37.700 C. 37.700 D. -0.027