The vertex form of the equation of a parabola is y = 3(x-4)2 +13. What is the standard form of the equation?
A. y=x-
X2 - 8x + 21
c
- 4x + 29
B. y = 1x2 - 4
C. y=1x2 - 4
D. y-1x2 - Bx +29
4x +21
W

What is the volume of a rectangular prism that is 120 centimeters by 2 meters by 1.5 meters in cubic meters?

An automobile assembly line operation has a scheduled mean completion time, μ, of 12 minutes. the standard deviation of completion times is 1.6 minutes. it is claimed that, under new management, the mean completion time has decreased. to test this claim, a random sample of 33 completion times under new management was taken. the sample had a mean of 11.2 minutes. assume that the population is normally distributed. can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? assume that the standard deviation of completion times has not changed.

Find the distance from the theater to the library. leave your answer in simplest radical form if necessary. 12 √12 74 √74