Figure P, the small rectangle, was dilated with the origin as the center of dilation to create Figure Q, the large rectangle. Which rule best represents the dilation that was applied to Figure P to create Figure Q?

A(x, y)→(1/8x, 1/8y)
B(x, y)→(1/4x, 1/4y)
C(x, y)→(8x, 8y)
D(x, y)→(4x, 4y)

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

Amajor grocery store chain is trying to cut down on waste. currently, they get peaches from two different distributors, whole fruits and green grocer. out of a two large shipments, the manager randomly selects items from both suppliers and counts the number of items that are not sell-able due to bruising, disease or other problems. she then makes a confidence interval. is there a significant difference in the quality of the peaches between the two distributors? 95% ci for pw-pg: (0.064, 0.156)

In a small section of a stadium there are 40 spectators watching a game between the cook islands and fiji. they all support at least one of the two teams. 25 spectators support the cook islands and 16 of these support both teams. how many support only fiji?