A model for the basal metabolism rate, in kcal/h, of a young man is R(t) = 70 − 0.15 cos  πt 12 , where t is the time in hours measured from 5:00 a. m. What is the total basal metabolism of this man, 24 R(t) dt, 0 over a 24-hour period?

Time (minutes) amount of water (gallons) practice 1. jin fills up a 510-gallon pool in the backyard for her children. she fills it with the garden hose at a rate of 17 gallons per minute. after it is filled, she lets it sit for 30 minutes in order to let the water temperature rise. the children then get in and have fun for an hour. the pool loses about 5 gallon of water each minute due to their splashing and playing. at the end of the hour, they tear the pool while getting out, which causes a leak the pool then begins to lose water at a rate of 2 gallons per minute. a. complete the table to show the amount of water in the pool after each minute. b. create a graph to model the problem situation. include when the pool will be empty. c. write a piecewise function that models this problem situation. explain your reasoning for each piece of the function. d. identify the x- and y-intercept. explain what they mean in terms of the problem situation, atamantha a cul 80 100 120 150 200 ning, inc

Build is 120 wide 20 feet high 48 feet long how many cubic feet and the volume

Describe a pattern in each sequence what are the next two terms of each sequence -5, 5, -5, 5 a. subtract 10 from the previous term; -5,5 b. multiply the previous term by 1; 5, 5 c. add 10 to the previous term; -5, -15 d. multiply the previous term by -1; -5, 5