. a playground is shaped like a rectangle with a width 5 times its length (l). what is a simplified expression for the distance between opposite corners of the playground?

An unknown number of kids and buses are getting assigned. when assigning 4 kids to each bus, there are 2 kids that aren't placed in a bus. when assigning 8 kids to each bus, there are 2 empty buses. how many total kids are there?

which  best  describes the transformation from the graph of  f(x) =  x2  to the graph of  f(x) = (x  – 3)2  – 1?   left 3 units, down 1 unitleft 3 units, up 1 unitright 3 units, down 1 unit  right 3 units, up 1 unit

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?