3. A scientist is performing an experiment with the projection of objects. Both objects are projected from a platform that is 10 feet high. Object 1 is an apple that is launched with an initial velocity of 25 feet per sec.
Object 2 is an orange that is launched with an initial velocity of 40 feet per sec.

*What is the equation to represent the height of the apple at any given time?

*What is the equation to represent the height of the orange at any given time?

*Which fruit goes higher? By how much?

* Which fruit hits the ground first? By much time?

Using the graph below, select all statements that are true. a. f(0.6)=0 b. f(-3.2)=-3 c. f(5.1)=5 d. this is the graph of the greatest integer function. e. this graph is one-to-one.

The krasnapolski is a top-of-the-line hotel in amsterdam, the netherlands. among their many services, they rent bicycles to guests. the bicycle checkout is open 24 hours per day 7 days per week and has 50 bicycles on hand. on average, 10 guests request a bicycle each day, arriving completely randomly at all times of the day during the spring and summer seasons. guests keep bicycles for four days on average, with a standard deviation of two days. how long does a guest on average have to wait for a bike? a. approximately 24 hours b. approximately 0.033 hours c. approximately 4 days d. approximately 47 minutes

Match each whole number with a rational, exponential expression 3 square root 27^2find the domain and range of the exponential function h(x)=125^x. explain your findings. as x decreases does h increase or decrease? explain. as x increases does h increase or decrease? explain.