Solve and show work.
the quadratic function f(x)= 16x^2 + 90x models the height of a baseball in feet after x seconds. how long is the baseball in the air?

(a) sketch a graph of the function
(b) using your graph, estimate how long the baseball is in the air
(c) using your calculator, estimate how long the baseball is in the air
(d) using the given equation, check your answer from (c) for reasonableness

The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1252 chips and standard deviation 129 chips. (a) what is the probability that a randomly selected bag contains between 1100 and 1500 chocolate chips, inclusive? (b) what is the probability that a randomly selected bag contains fewer than 1125 chocolate chips? (c) what proportion of bags contains more than 1225 chocolate chips? (d) what is the percentile rank of a bag that contains 1425 chocolate chips?

Asphere has a diameter of 10 in. what is the volume of the sphere?

Astuntman jumping off a 20-m-high building is modeled by the equation h=20-5t^2, where t is the same in seconds. a high-speed camera is ready to film him between 15m and 10m above the ground. for which interval of time should the camera film him?