Select the statement that describes the expression 6 x one third x (12 − 3). A. 6 times one third the quotient of 12 and 3
B. 6 times one third the sum of 12 and 3
C. 6 times one third the product of 12 and 3
D. 6 times one third of the difference of 12 and 3

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?

1. find the area of the unshaded square 2. find the area of the large square 3. what is the area of the frame represented by the shaded region show

What ia the sum if the first 7 terms of the geometric series