Sam is observing the velocity of a car at different times. after two hours, the velocity of the car is 50 km/h. after six hours, the velocity of the car is 54 km/h. part a: write an equation in two variables in the standard form that can be used to describe the velocity of the car at different times. show your work and define the variables used. (5 points) part b: how can you graph the equation obtained in part a for the first seven hours? (5 points)

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?

Moira has a canvas that is 8 inches by 10 inches. she wants to paint a line diagonally from the top left corner to the bottom right corner. approximately how long will the diagonal line be?

Which function has the domain x> -11