You are an astronaut on the Moon. You hit a golf ball with your golf club. The height of the ball, h(t), in meters, after time, t, is modeled by the function h(t) = -0.81t^2 + 5t. What is the maximum height of the ball? How long is it in the air for?

Adiverr from the university of florida women’s swimming and diving team is competing in the ncaa zone b championships

If f(x) = x+8 and g(x) = 4x- 3, find (f+g)(x)

The biologist has a second culture to examine. she knows that the population of the culture doubles every 15 minutes. after 1 hour and 15 minutes, her assistant found that 80,000 bacteria were present. a) what was the size of the initial population? b) predict the size of the culture at t=3 hours. what was the size of the population at 40 minutes? explain and justify your answers. c) create a graph of the population as a function of time. find an equation that can be used to predict the size of the population at any time t. d) examine the rate at which the bacteria culture is growing. how fast is the culture growing after 1 hour? after 1.5 hours? after 2 hours? use a time interval of h = 0.01 hours to estimate these rates. interpret these rates in terms of the context of the problem situation. how do these three rates compare?