a ball is thrown vertically upwards after t second it’s height h (in feet) is given by the function h (t) =80t-16t^2 what is the maximum height that the ball will reach

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.

humans' internal body temperature is a great example of homeostasis. when an individual is healthy, his or her body temperature retains a temperature 98.6 degrees fahrenheit. the body can control temperature by making or releasing heat. the maintenance of healthy blood pressure is an example of homeostasis.

step-by-step explanation: