Tim runs Sox Box, a subscription service that regularly sends fun socks to customers. Each box costs \( \$ 12.35 \) to produce and \( \$ 2.65 \) to ship. Tim also spends \( \$ 600 \) a month on online advertising. He charges his customers \( \$ 35 \) per box. Which equation can you use to find \( b \), the number of boxes Tim must sell each month for his sales to equal his monthly expenses? \( 35 b=600+12.35 b+2.65 b \) How many boxes must Tim sell each month for his sales to equal his monthly expenses? \( \square \) boxes

What is one similarity berween membrane carriers and pumps? Their regions that interact with the interior of the phospholipid bilayer are rich in hydrophilic R-groups. They are shaped to allow molecules of many sizes to pass through them. They change shape as they pass molecules across a membrane.

Question For the function \( f(x)=8 x^{2}-18 x+5 \), use \( f(x)=-4 \) to find two points that lie on the graph of the function.

A person x inches tall has a pulse rate of y beats per minute, as given approximately by \( y=580 x^{-1 / 2} \) for \( 30 \leq x \leq 75 \). What is the instantaneous rate of change of pulse rate for the following heights? (A) 31-inches (B) 62-inches What is the instantaneous rate of change of pulse rate for a 31 inch tall person? \( \square \) beats per minute per inch (Round to the nearest hundredth as needed.) What is the instantaneous rate of change of pulse rate for a 62 inch tall person? \( \square \) beats per minute per inch (Round to the nearest hundredth as needed.)

Find the phase shift of \( y=2 \sin \left(3 x+\frac{\pi}{3}\right) \) P.S. \( = \) fill in blank (Write answer with no spaces, for example \( -\frac{\pi}{2}=-\mathrm{pi} / 2 \)

1. Resuelve los siguientes problemas. 1. Un barco tiene espacio para 40 pasajeros. Si sólo se vendier 25 ¿Cuántos lugares estarán vacios?