Identify the pair of lines as parallel or perpendicular.
1. f(x) = 2x + 3
g(x) = -1/2x + 3

2. f(x) = 1/3x + 4
g(x) = 1/3x + 5

The depth of a lake at a certain point, wich is a function of the distance of that point from shore, is 30 feet.

You drop a rubber ball off the roof of a 50 meter high building onto a paved parking lot. it bounces back up with every bounce, but not quite all the way back up to you. after the first bounce it bounces back only 80 percent of the distance it was dropped from. the pattern continues, meaning after every bounce it comes up to just 80 percent of the previous maximum height. so if before the first bounce the height is 50 meters, what height does the ball reach after the fifth bounce? round your answer to one decimal place and chose the correct response from the choices below:

On the day a coffee shop first opened, it had 140 customers. 65% of the customers ordered a large coffee. how many customers ordered a large coffee? enter your answer in the box.