James wants to tile his floor using tiles in the shape of a trapezoid. to make the pattern a little more interesting he has decided to cut the tiles in half along the median. the top base of each tile is 12 inches in length and the bottom base is 16 inches. how long of a cut will john need to make so that he cuts the tiles along the median? a. 4 inches b. 14 inches c. 2 inches d. 28 inches

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?

Which of these equations, when solved, gives a different value of x than the other three? a9.1 = -0.2x + 10 b10 = 9.1 + 0.2x c10 – 0.2x = 9.1 d9.1 – 10 = 0.2x

Given f(x)= 9x+1 and g(x)=x^3, choose the expression (f*g)(x)