Lisa is sitting on the dock beside the lake she drops a rock from her hand into the lake after the rock hits the surface of the lake the rocks distance from the lake surface changed at a rate of -3 in./s if Lisa holds her hand 3 feet above the lake surface how hot how far from Lisa's hand is the rock five seconds after hits the surface

What rotation was applied to triangle def to create d’e’f’?

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.)

Abowl contained 270 starbursts of all different colors. if the probability of picking a yellow is 1/9, then how many yellow starbursts are in the bowl ? ?