1. anthony has a sink that is shaped like a half-sphere. the sink has a volume of 2000/3π in3. one day, his sink clogged. he has to use one of two cylindrical cups to scoop the water out of the sink. the sink is completely full when anthony begins scooping.
(a) one cup has a diameter of 4 in. and a height of 8 in. how many cups of water must anthony scoop out of the sink with this cup to empty it? round the number of scoops to the nearest whole number.
(b) one cup has a diameter of 8 in. and a height of 8 in. how many cups of water must he scoop out of the sink with this cup to empty it? round the number of scoops to the nearest whole number.

In one day there are too high tides into low tides and equally spaced intervals the high tide is observed to be 6 feet above the average sea level after six hours passed a low tide occurs at 6 feet below the average sea level in this task you will model this occurrence using a trigonometric function by using x as a measurement of time assume the first high tide occurs at x=0. a. what are the independent and dependent variables? b. determine these key features of the function that models the tide: 1.amplitude 2.period 3.frequency 4.midline 5.vertical shift 6.phase shift c. create a trigonometric function that models the ocean tide for a period of 12 hours. d.what is the height of the tide after 93 hours?

What is the 9th term in the geometric sequence described by this explicit formula? an=-6. (2)(n-1) apex

What is the 17th term in the arithmetic sequence in which a6 is 101 and a9 is 83