A ferris wheel is 25 meters in diameter and boarded from a platform that is 1 meter above the ground. The six o'clock position on the ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 6 minutes. The function h = f(t) gives your height in meters above the ground t minutes after the wheel begins to turn. Write an equation for h = f(t).

the weight (in pounds) w=f(d) of an object varies inversely as the square of its distance (in thousands of miles) d from the center of earth a. an astronaut weights 180 pounds at sea level (about 4 thousand miles from earth's center) find an equation of F b. how much would the astronaut weight at 2 thousand miles above earth's surface? c. at what distance fromthe center of earth would the astronaut weigh , pound?  miles? ( round to the nearest miles as needed) d. estimate how much the astronaut would weight on the surface of the moon. the moon is a mean distance of about 239 thousand miles from earth pound? ( round to three decimal places as needed)

During Ricardo noticed an ink stain with a diameter of about 3 cm on the front of his teacher’s shirt. He then noticed that there was a pen in the pocket and that the ink blot was continuing to spread across the front of the teacher’s shirt. He estimated that the diameter of the ink blot seemed to be growing by about 0.5 cm every 2 minutes. a) Write an equation for the RADIUS, r, of the ink stain, as a function of time, t. Assume that t = 0 represents the time that Ricardo first noticed the ink stain. b) Write an equation showing the AREA, A, of the ink stain as a function of the time t. (Hint: It might help to first write A as a function of r. ) c) Draw a graph of the function A(t) for 10 minutes. d) At what time is the area of the ink stain about 25 square centimeter? Show how you answer this question. (i.e. ”I found it using desmos” is not sufficient)

The path of flight (trajectory) of a football thrown by a quarterback is described by the following function: y(x) = -0.002x2+0.7x+7 where y = vertical position of football relative to the ground (ft) x = horizontal position of football relative to launch position (ft) How high above the ground is the football as it leaves the quarterback’s hand?