6 . Calculating the price elasticity of supply Becky is a retired teacher who lives in San Francisco and does some consulting work for extra cash. At a wage of $30 per hour, she is willing to work 6 hours per week. At $50 per hour, she is willing to work 16 hours per week. Using the midpoint method, the elasticity of Becky’s labor supply between the wages of $30 and $50 per hour is approximately , which means that Becky’s supply of labor over this wage range is .

Atank holds 1000 gallons of water, which drains from the bottom of the tank in half an hour. the values in the table show the volume v of water remaining in the tank (in gallons) after t minutes. t(min) 5 10 15 20 25 30v(gal) 694 444 250 111 28 0(a) if p is the point (15, 250) on the graph of v, find the slopes of the secant lines pq when q is the point on the graph with t = 5, 10, 20, 25, and 30.(b) estimate the slope of the tangent line at p by averaging the slopes of two secant lines.(c) use a graph of the function to estimate the slope of the tangent line at p. (this slope represents the rate at which the water is flowing from the tank after 15 minutes.)show all steps.

As a car drives with its tires rolling freely without any slippage, the type of friction acting between the tires and the road is 100) a) static friction. b) kinetic friction. c) a combination of static and kinetic friction. d) neither static nor kinetic friction, but some other type of friction. e) it is impossible to tell what type of friction acts in this situation.

Herbivores, carnivores, and omnivores are all types a. decomposers b. producers c. consumers d. biomes