The town of Centreville wanted to put a monument at a point that is equidistant from the post office, city hall, and the police station. There are straight roads that connect the post office to city hall, the post office to the police station, and city hall to the police stations. Use what you know about perpendicular bisectors to determine where the monument should be placed. Explain how you know that the monument will be the same distance from the three buildings.

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?

How many solutions does the nonlinear system of equations graphed bellow have?

Erin bought christmas cards for $2 each to send to her family and friends. which variable is the dependent variable?