The number of ways to choose a letter from a to z and a digit from 0 to 9. Find the sample space for the given situation

G(x) 16g(x) = 2 sin(2x - π) + 4. using complete sentences, explain how to find the minimum value for the function.

Suppose that the price p (in dollars) and the weekly sales x (in thousands of units) of a certain commodity satisfy the demand equation 4p cubedplusx squaredequals38 comma 400. determine the rate at which sales are changing at a time when xequals80, pequals20, and the price is falling at the rate of $.20 per week.

Acircular garden with radius of 8 feet is surrounded by a circular path with a width of 3 feet. what is the approximate area of the path alone? use 3.14 for π