Is the number of gallons of water in the bathtub a function of time? Yes because each t value is paired with exactly one number of gallons. Yes because the number of gallons is bounded between y = 0 and y = 36. No because each number of gallons is paired with more than one t value. No because from t = 5 to t = 20 the number of gallons of water is constant. Mark this and return Save and Exit

Based on the graph, what is the initial value of the linear relationship? a coordinate plane is shown. a line passes through the y-axis at -2 and the x-axis at 3.

If cos(2x) = tan^2(y), show that cos(2y) = tan^2(x).

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.)