There are $40$ animals at a petting zoo, all of which are goats or rabbits, and each animal is either an adult or a child. there are twice as many adult rabbits as adult goats, and three times as many child goats as adult goats. if there are exactly as many adult rabbits as there are child rabbits, then how many adult goats are in the petting zoo?

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?