1. A consumer magazine tested two kinds of engines. One was a standard

engine, and it was determined that its acceleration could be modeled by

f (t) = 6 + .7t feet per square second, t seconds after starting from rest. The acceleration of the turbo-charged model could be approximated by

g(t) = 6 + 6.1 t + .05 t^2 feet per square second, t seconds after starting

from rest. How much faster is the turbo-charged model moving than the standard model at the end of a 10 second trial?

Explain how you can use the associative property to evaluate (7x50)x4.

Someone answer this asap rn for ! a discount store’s prices are 25% lower than department store prices. the function c(x) = 0.75x can be used to determine the cost c, in dollars, of an item, where x is the department store price, in dollars. if the item has not sold in one month, the discount store takes an additional 20% off the discounted price and an additional $5 off the total purchase. the function d(y) = 0.80y - 5 can be used to find d, the cost, in dollars, of an item that has not been sold for a month, where y is the discount store price, in dollars. create a function d(c(x)) that represents the final price of an item when a costumer buys an item that has been in the discount store for a month. d(c(x)) =

Ur environment is very sensitive to the amount of ozone in the upper atmosphere. the level of ozone normally found is 4.04.0 parts/million (ppm). a researcher believes that the current ozone level is not at a normal level. the mean of 2525 samples is 4.44.4 ppm with a standard deviation of 0.80.8. assume the population is normally distributed. a level of significance of 0.020.02 will be used. make the decision to reject or fail to reject the null hypothesis. answer tables