A marathon is 26.2 miles long. There is a water station every 131100 miles along the race route. Which expression represents the total number of water stations?

1. preform the indicated operation. then estimate to see whether the proposed result is reasonable. 811.1 - 8.039 803.071 803.061 803.161 831.061 2. the ordered pair (1, 2) lies in which quadrant? quadrant ii quadrant iv quadrant iii quadrant i 3. sean tries to drink 3 liters of water every day how my millimeters of water does he drink in a day? 0.3 ml 0.003 ml 3,000 ml 30 ml 4. find the least common multiple. (lcm). 10, 36 5 180 20 360

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- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?