A greenhouse owner purchases fertilizer in 60-gallon drums. The fertilizer is mixed with water to make
several batches of solution. Each batch of solution is
made by mixing 3 quarts of fertilizer with water.
What is the maximum number of batches of solution
that can be made from one 60-gallon drum of
fertilizer? (1 gallon = 4 quarts)

George is folding a piece of paper to make an origami figure. each time he folds the paper, the thickness of the paper is doubled. the paper starts out flat, with a thickness of 1 millimeter. a. write a list of six ordered pairs showing the output as the thickness of the paper when the input is the number of times it is folded. explain how you came up with your ordered pairs. b. is this relation a function? explain why or why not using the ordered pairs you came up with in part a.

Given the function f(x) = log base 4(x+8) , find the value of f^-1(2)

Each of the walls of a room with square dimensions has been built with two pieces of sheetrock, a smaller one and a larger one. the length of all the smaller ones is the same and is stored in the variable small. similarly, the length of all the larger ones is the same and is stored in the variable large. write a single expression whose value is the total area of this room. do not use any method invocations.