Write a differential equation that is a mathematical model of the situation described. The time rate of change of the velocity v of a coasting motorboat is proportional to the square of v.

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?

The total number of dental clinics total for the last 12 months was recorded

Benjamin is making bow ties. how many 1/2yards lomg bow ties can he make if he has 18 feet of fabric?