Pretzels are given away for free at a local store. The tray is constantly replenished as people take the pretzels. The number of pretzels in the tray is given by the function P(t) = 20 + t^2 − 8cosπt , where t is measured in minutes. When t = 1 minute, find the average rate of change of pretzels in the tray over the next 30 seconds.

Which best describes the transformation that occurs in the graph? a) dilation b) reflection c) rotation d) translation

Thanh and her crew are building a stage in the shape of a trapezoid for an upcoming festival. the lengths of the parallel sides of the trapezoid are 14 ft and 24 ft. the height of the trapezoid is 12 ft.what is the area of the stage? enter your answer in the box. ft²

Type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar.a city water tank holds 20 gallons of water. a technician empties 25% of the tank. how many more gallons of water must be removed from thetank so that it has 5 of the water that it started with: the technician must removemore gallons of water for the tank to have 5 of the water that it started with.