Aheat engine absorbs 3120 j of heat from
a hot reservoir and expels 720 j to a cold
reservoir. when it is run in reverse, with the
same reservoirs, the engine pumps 3120 j of
heat to the hot reservoir, requiring 2400 j of
work to do so.
find the ratio of the work done by the heat
engine to the work done by the pump.

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.

The diagram shows four locations in the electric field of a positive point charge m. at which location is the electric potential the greatest.

What is a costume plot? why is it important to a film or theater production?