What is the height of a rectangular prism that has a volume of 231 cubic feet, a length of 11 feet and a width of 3 feet.

Show algebraically that f and g are inverse functions f(x)=x^2/-6; g(x)=square root of 2x+12

1. there are 25 students who started computer programming in elementary school and 25 students who started computer programming in middle school. the first group had a mean final project grade of 95% and the second group had a mean final project grade of 92%. the line plot shows the differences after 10 rerandomizations. determine whether the difference in the means of the two groups is significant based on the line plot. explain your answer.

Your client has saved $1,860 for a down payment on a house. a government loan program requires a down payment equal to 3% of the loan amount. what is the largest loan amount that your client could receive with this program