GiViNg BrAiNlIsT Match the vocabulary word with the correct definition. 1. constant of variation
a two-dimensional system in which a location is described by its distance from two intersecting, perpendicular axes
2. coordinate plane
principle that states that the number of outcomes for a compound event is found by multiplying the total number of outcomes for each event together
3. counting principle
the rate of change in a direct variation; also known as constant of proportionality
4. compound event
an event consisting of two or more events that can happen at the same time or one after the other
5. dependent events
compound events in which one event affects the likelihood of the other event

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?

() at a farm, animals are fed bales of hay and buckets of gain.each bale of hay is in the shape of a rectangular prism.the base side lengths 2 feet and 3 feet,and the height is 5 feet. each bucket of grain is a cylinder with diameter of 3 feet. the height of the bucket is 5 feet as the height of bale. a. which is larger in area, the rectangular base of the bale or the circular base of the bucket? explain how you know b. which is larger in volume, the bale or the bucket? explain how you know

Which functions shave a maximum and are transformed to the left and down of the parent function ,check all that apply f(x) = x2? p(x) =14 (x+7)2 + 1