Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x, log y, and log z.

Andy has $310 in his account. each week, w, he withdraws $30 for his expenses. which expression could be used if he wanted to find out how much money he had left after 8 weeks?

Suppose you want to transform the graph of the function y=tan(x+pi/4)-1 into the graph of the function y=-tan(x+pi/2)+1 which transformations should you perform. a) reflect the graph of the first function across the x-axis, translate it pi/4 units to the left, and translate it 2 units up. b) reflect the graph of the first function across the x-axis, translate it pi/4 units to the right, and translate it 2 units up. c) reflect the graph of the first function across the line y = -1, translate it pi/4 units to the left, and translate it 2 units up. d) reflect the graph of the first function across the line y = -1, translate it pi/4 units to the right, and translate it 2 units up.

Nani needs to buy 8 cups of fresh pineapple for a fruitcocktail. the table shows the unit prices (per cup) ofpineapple at different stores. if nani only has $4, fromwhich stores could she purchase her pineapple? check all that apply.