After the consumption of an alcoholic beverage, the concentration of alcohol in the bloodstream (blood alcohol concentration, or bac) surges as the alcohol is absorbed, followed by a gradual decline as the alcohol is metabolized. the function c(t) = 1.35te−2.802t † models the average bac, measured in mg/ml, of a group of eight male subjects t hours after rapid consumption of 15 ml of ethanol (corresponding to one alcoholic drink). what is the maximum average bac during the first 4 hours? (round your answer to three decimal places.)

Which of the following describes how to translate the graph y = xi to obtain the graph of y = x - 11 - 12 1 unit left and 1 unit down 1 unit left and 1 unit up 1 unit right and 1 unit down 1 unit right and 1 unit up

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.)

Which expression is a perfect cube? a. x8 b. y24 c. m28 d. x64