I need help with this small assignment. Your Task:

You are given the equation ht=-16t2+64t+5, where 5 feet is the initial height when the shirt leaves the cannon.

Describe the key features of the function, including:

Zeros

x – intercepts

y – intercept

Maximum height reached by the t-shirt

How does the situation affect these features?

You are in the path of a t-shirt, sitting in the stands at a height of 53 feet. After how many seconds should you be ready to catch the t-shirt?

How did you find your solution?

Find the solution using another method and explain how that method was used.​

The following division is being performed using multiplication by the reciprocal find the missing numbers is 5/12 divided by x/3 equals 5/12 times x/10 equals 1/x

Elizabeth claims that the fourth root of 2 can be expressed as 2^m since (2^m)^n = 2. find the values of m and n for the case where elizabeth's claim is true.

Acaterer knows he will need 60, 50, 80, 40 and 50 dinner napkins on five successive evenings. he can purchase new napkins initially at 25 cents each, after which he can have dirty napkins laundered by a fast one-day laundry service (i.e., dirty napkins given at the end of the day will be ready for use the following day) at 15 cents each, or by a slow two-day service at 8 cents each or both. the caterer wants to know how many napkins he should purchase initially and how many dirty napkins should be laundered by fast and slow service on each of the days in order to minimize his total costs. formulate the caterer’s problem as a linear program as follows (you must state any assumptions you make): a. define all variables clearly. how many are there? b. write out the constraints that must be satisfied, briefly explaining each. (do not simplify.) write out the objective function to be minimized. (do not simplify.)