On itv's homework hotline, it's time for "rudolf's rules." if you guess what rule rudolf is using you get a prize. someone puts golf balls into a miniature-golf display called rudolf, then rudolf sends back a certain number of golf balls. today rudolf gets 8 balls and sends back 6. next rudolf gets 15 and sends back 27. when he gets 25, 57 are returned. if n represents the number of balls initially given to rudolf, write an expression to represent how many balls he sent back.

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?