Which of the given functions have an average rate of change of -12 on the interval [0, 2]? f(x)=12x-\frac{2}{3}
f(x)=-5^{x}
f(x)=-3(3^{x})
f(x) =-\frac{1}{12} x+9
f(x)= -12^{x}
f(x)=7-12x

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?

Do a swot analysis for the business idea you chose in question 2 above. describe at least 2 strengths, 2 weaknesses, 2 opportunities, and 2 threats for that company idea. (1-8 sentences. 4.0 points)

You are on a cycling trip around europe with friends. you check the weather forecast for the first week. these are the temperatures for the week. sun mon tues wed thurs fri sat 16°c 20°c 24°c 28°c 28°c 23°c 15°c what is the mean temperature forecast for the week?