Use the following building blocks to assemble a proof that if m and n are integers, and mn is even, then m is even or n is even. Not all blocks belong in the proof. a. Suppose mat m is and n is
b. By definition of Odd this means fiat is
c. We give a proof by contraposition
d. Suppose that nm is odd.
e. By definition of odd number, m= 2P + 1 some p, and n= 2q+ 1 for integer q.

Determine the volume of a cylinder bucket if the diameter is 8.5 in. and the height is 11.5 in.

Asmall business produces and sells balls. the fixed costs are $20 and each ball costs $4.32 to produce. each ball sells for $8.32. write the equations for the total cost, c, and the revenue, r, then use the graphing method to determine how many balls must be sold to break even.

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?