Find the surface area and volume of the prism shown below. A prism with an L shaped base. The sides of the base are, horizontal side 14 meters, vertical side 7 meters, horizontal side 10 meters, vertical side 7 meters, and horizontal side 4 meters. The height of the prism is 6 meters.

An architect is designing a water fountain for a park she uses the given function to model the water jet flowing from the fountain nozzles where h(x) gives the height of the water jugs in feet x feet from the starting point h(x)=-1/20x+x+15

Give the equations of two different lines that are perpendicular to the line 3x + 4y = 7.

Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e. g. 98.76543).