A T-shirt takes ten minutes to make and a sweatshirt takes 20 minutes to make. You have at most 20 hours to make shirts. The supplies for a
T-shirt cost $4 and the supplies for a sweatshirt cost $20. You want to
spend no more then $600 on supplies. You want to have at least 50
items to sell. How many T-shirts and how many sweatshirts should you
make to maximize your profit? The profit per T-shirt is $6 and the profit
per sweatshirt is $20.

Let f (x) = x e8x. find a formula for the nth derivative of f, where n is any positive integer. use x and n in your answer if needed. f (n)(x) =

Which of the following can be used to explain a statement in a geometric proof?

Write the contrapositive of the conditional statement. determine whether the contrapositive is true or false. if it is false, find a counterexample. a converse statement is formed by exchanging the hypothesis and conclusion of the conditional. a) a non-converse statement is not formed by exchanging the hypothesis and conclusion of the conditional. true b) a statement not formed by exchanging the hypothesis and conclusion of the conditional is a converse statement. false; an inverse statement is not formed by exchanging the hypothesis and conclusion of the conditional. c) a non-converse statement is formed by exchanging the hypothesis and conclusion of the conditional. false; an inverse statement is formed by negating both the hypothesis and conclusion of the conditional. d) a statement not formed by exchanging the hypothesis and conclusion of the conditional is not a converse statement. true