Alana wants to start a chain of emails, which she does by sending an email to 5 of her friends. she asks each of them to send that email to 2 of their friends the next day and to tell each of their friends to send the email to 2 of their friends the day after, and so on. should the number of people that receive an email each day be modeled with a linear function or an exponential function? justify your answer and then write an equation to model the situation.

Acircle has the equation (x-2)^2 +y^2 =5. what are the coordinates of the circle's center?

If p(x) is the total value of the production when there are x workers in a plant, then the average productivity of the workforce at the plant is a(x) = p(x) x . (a) find a'(x). a'(x) = xp'(x) − p(x) x a'(x) = xp'(x) − p(x) x2 a'(x) = p'(x) − p(x) x a'(x) = xp'(x) − p'(x) x2 a'(x) = p'(x) − xp(x) x2 why does the company want to hire more workers if a'(x) > 0? a'(x) > 0 ⇒ a(x) is ; that is, the average productivity as the size of the workforce increases. (b) if p'(x) is greater than the average productivity, which of the following must be true? p'(x) − xp(x) > 0 p'(x) − xp(x) < 0 xp'(x) − p'(x) > 0 xp'(x) − p(x) < 0 xp'(x) − p(x) > 0

Find the measurement of angle b in the following triangle