Jacob is baking chocolate chip cookies. the recipe uses 3/4 cup of sugar. jacob wants to make one -half of a batch. how many cups of sugar does he need?

Write an equation in standard form of the line that passes through the point and has the given slope. ( -2, 4) ; m = -6which of the following best describes the technique used to graph the equation using the slope and y-intercept? y = 5x + 10write the standard form of the equation of the line through the given point with the given slope. point , 4); slope -3/2

The step function g(x) is defined as shown. what is the range of g(x)? ***answer choices in picture.

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: