The monthly revenue, in dollars, from the sales of a gaming console at one store is represented by the function below, where x is the number of gaming consoles sold.

r(x) = -0.45x^2 + 160x + 412

the monthly cost, in dollars, for the store to supply their patrons with x number of the gaming consoles is given by the function below.

c(x) = 205x + 300

determine the function that represents the total monthly profit from the gaming consoles.

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?

Need on this geometry question. explain how you did it.

Which of the choices shown could be used to prove that aacp=abcp ?