On a certain workday, the rate, in tons per hour, at which unprocessed gravel arrives at a gravel processing plant is
modeled by G(t) = 90 + 45 cos (t), where t is
measured in hours and 0 the workday (t=0), the plant has 500 tons of unprocessed
gravel. During the hours of operations, 0 plant processes gravel at a constant rate of 100 tons per
hour.
b.) Find the total amount of unprocessed gravel that
arrives at the plant during the hours of operation on this
workday.

In which direction does the left side of the graph of this function point? a(x) = 3x - x2 + 4x - 2

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.

Write the equations in logarithmic form 9^4=6,561