Point o lies in the interior of angle mnp. if the measure of mno is x^2 + 10x, the measure of onp is x^2 - 2x , and the measure of mnp is 3x^2 + 12, find the value of x. then find the measure of onp

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?

Including 6% sales tax, an inn charges $135.68 per night. find the inns nightly cost

Find y to the nearest hundreds place