If P(E) = 0.60, P(E or F) = 0.75, and P(E and F) = 0.10, find P(F). P(F) = (Simplify your answer.)

With t in years since 2016, the height of t a sand dune (in centimeters) isf(t) =700−3t2. Findf(5) andf′(5).

Find (f∘g)(−1) for the following functions.   f(−8)=14 and g(−1)=−8

2. Write g(h(x)) as an expression in terms of x. g(x) = 3 - x2 and h(x) = 4 - 3x %3D

The population of a town is given by the equation  P = 1500(20.2t),   here t is the time in years from 2000.In what year will the town's population be 2600 people?

If f(1) = 9 and f(n) = -3f(n – 1) +n then find the value of f(5). Answer: Submit Answer M 9

The height of a projectile t seconds after launch is given by the following function: h(t) = −9.8t² + 350t +3. How long will it be in flight? Round to four decimal places. A

The period T of a pendulum is the time it takes to move from one side to the other and back. A formula for the period is T= 2x where T is in seconds and L is in feet. Use 3.14 for . Find the period of a pendulum of length 2 feet. The period of a pendulum of length 2 feet is (Type a decimal.) seconds,

A radar gun recorded the speed of an arrow as it was shot off of a cliff.  Here is the information…                                                 time                 speed                                                 0 seconds        200                                                 1                      168                                                 2                      136                                                 3                      104   It was recorded that the speed of the arrow when it hit the ground was -210.88 feet per second.  Use all of this information to determine the initial height that the arrow was shot from

The number of plants in a terrarium is given by the function                 P(c) = -1.2c2 + 4c + 12 where  c is the number of mg of plant food added to the terrarium.  The amount of plant food that produces the highest number of plants is _____ mg (round to the nearest hundredth).