In your job at a restaurant, you made a 12-cup pot of coffee at 7: 20 a. m. by 7: 40 a. m., you had served it all and had to make another pot. at this rate, how many cups would you serve per hour?

What basic trigonometric identity would you use to verify that sin x cos x tan x =1-cos^(2)x?

Tom is the deli manager at a grocery store. he needs to schedule employee to staff the deli department for no more that 260 person-hours per week. tom has one part-time employee who works 20 person-hours per week. each full-time employee works 40 person-hours per week. write and inequality to determine n, the number of full-time employees tom may schedule, so that his employees work on more than 260 person-hours per week. graph the solution set to this inequality.

Find the volume of the solid obtained by rotating the region enclosed by the curves y=1x and y=7^-x about the x-axis. (use symbolic notation and fractions where needed.) volume =