After a heavy storm, a flooded retention pond contains approximately 281,000 gallons of water. A pump is set up to pump the water into a different pond that currently only contains 1,000 gallons of water. The pump can pump water at the rate of 5,000 gallons per hour. a. Create an equation to show how many hours it will take for the two ponds to have the same volume of water. Be sure to define your variable.

The pump will stop operating when the volume of the flooded pond is reduced to 125,000 gallons or when the two ponds have the same amount of water, whichever comes first. When will the pump stop operating? Justify your answer using a table.
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Asmall (but heavy) particle placed in a glass of water will follow a zigzag motion because the particle will bounce off of the water molecules it meets. this is called brownian motion. a physicist simulates this on a computer, by varying the distance a particle can travel (called the mean free length), on average, before it collides with a water molecule and assigning the change in motion to be one of 8 directions, each with a similar probability. by running the simulated particle (with the same mean free length) many times she determines that it should take 15 seconds, on average, for the particle to fall to the bottom, with a standard deviation of 1.5 seconds. next she lets a real particle fall through a glass of water and finds that it took 18 seconds. what does she conclude, and why?

An equation of the line tangent to y=x^3+3x^2+2 at its point of inflection is

Find the slope of the line that contains the following points. r(-2, 4), s(6, -2)