The advertising and sales model of a company is given by the function s = 2t2 + 100, where t is time in months and t ≥ 0. if advertising is delayed by a month, which type of transformation will occur to this model?

a.
shift along the x–axis

b.
shift along the y–axis

c.
reflection through the y–axis

d.
reflection through the origin

With number 11 ( show how you got the answer)

According to a study conducted in 2015, 18% of shoppers said that they prefer to buy generic instead of name-brand products. suppose that in a recent sample of 1500 shoppers, 315 stated that they prefer to buy generic instead of name-brand products. at a 5% significance level, can you conclude that the proportion of all shoppers who currently prefer to buy generic instead of name-brand products is higher than .18? use both the p-value and the critical-value approaches.

Find the arc length of the semicircle. 7the grade