Samuel and his brother were playing soccer in the basement, and one particularly strong kick punctured a hole in the wall. The hole can almost be hidden by a 4 in. by 6 in. unframed picture, so Samuel thinks it will be completely hidden by the picture after it’s framed. Samuel hasn’t purchased the frame yet. Write a polynomial to represent the total area of the picture after it is framed. With the frame, the sides are (2x + 4) and (2x + 6).

What is the upper quartile in the box plot?

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?

Adecorative window is made up of a rectangle with semicircles at either end. the ratio of ad to ab is 3: 2 and ab is 30 inches. what is the ratio of the area of the rectangle to the combined area of the semicircles? possible answers: a. 2: 3 b. 3: 2 c. 6: π d. 9: π e. 30: π