The monthly revenue, in dollars, from the sales of a gaming console at one store is represented by the function below, where x is the number of gaming consoles sold.

r(x) = -0.45x^2 + 160x + 412

the monthly cost, in dollars, for the store to supply their patrons with x number of the gaming consoles is given by the function below.

c(x) = 205x + 300

determine the function that represents the total monthly profit from the gaming consoles.

You dug a hole that was 8 feet deep. after taking a short break, you dug down 3 more feet in the same hole. when finished digging, a tractor accidentally filled the hole with 4 feet of dirt. how deep is your hole now?

A. find the power of the test, when the null hypothesis assumes a population mean of mu = 450, with a population standard deviation of 156, the sample size is 5 and the true mean is 638.47 with confidence intervals of 95 b. find the power of the test, when the null hypothesis assumes a population mean of mu = 644, with a population standard deviation of 174, the sample size is 3 and the true mean is 744.04 with confidence intervals of 95% c. find the power of the test, when the null hypothesis assumes a population mean of mu = 510, with a population standard deviation of 126, the sample size is 10 and the true mean is 529.44 with confidence intervals of 95

In the figure below, segment ac is congruent to segment ab: which statement is used to prove that angle abd is congruent to angle acd? a.)triangle acd is similar to triangle abd. b.)triangle acd is congruent to triangle abd. c.)segment a. d. is congruent to segment ac. d.)segment a. d. is congruent to segment dc.