A small radio transmitter broadcasts in a 38 mile radius. If you drive along a straight line from a city 44 miles north of the transmitter to a second city 43 miles east of the transmitter, during how much of the drive will you pick up a signal from the transmitter?

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.)

Can you explain how a table can be used to find a rate of change?

Asail is in the form of a right triangle that is 3 times as high as it is wide. the sail is made from 6 square meters of material. what is the height?