In a free-fall experiment, an object is dropped from a height of h = 400 feet. a camera on the ground 500 ft from the point of impact records the fall of the object (t
he shape is a 90 degree angle with 500 ft at the bottom).
(a) find the position function that yields the height of the object at time t assuming the object is released at time t = 0.
h(t) =
at what time will the object reach ground level? (round your answer to three decimal places.)
t =
5.12
sec
(b) find the rates of change of the angle of elevation of the camera when t = 1 and t = 2. (round your answers to four decimal places.)
θ'(1) =
rad/sec
θ'(2) =
rad/sec

What is the value of m in the equation 1/2 m - 3/4n=16 when n=8

The equation shown below represents function f. f(x)= -2x+5 the graph shown below represents function g. which of the following statements is true? a. over the interval [2, 4], the average rate of change of f is the same as the average rate of change of g. the y-intercept of function f is less than the y-intercept of function g. b. over the interval [2, 4], the average rate of change of f is greater than the average rate of change of g. the y-intercept of function f is greater than the y-intercept of function g. c. over the interval [2, 4], the average rate of change of f is the same as the average rate of change of g. the y-intercept of function f is greater than the y-intercept of function g. d. over the interval [2, 4], the average rate of change of f is less than the average rate of change of g. the y-intercept of function f is the same as the y-intercept of function g.

Anew test for ra is being developed. the test is administered to 750 patients with ra and 750 without ra. for the sake of the question, assume the prevalence of ra in this population is 50%. of the 750 patients with ra, 575 have a positive result. of the 750 patients without ra, 150 have a positive result. what is the positive predictive value of the new test? a575/(575+150) b. 600/(600+ 150) c. 575/(575+125) d. 600/(600+ 125)