Which inequality is represented by the number line diagram shown below?
-5-4-3-27 0 1 2 3 4 5

Which logarithmic equation is equivalent to the exponential equation below? e^a=55(you will receive 34 points)

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?

8. kelly wants to buy a magazine that is $25. later the magazine was marked up an additional 20%. what is the new price?