Jose uses the pattern in rows 1 and 8 in the multiplication table below to find ratios that are equivalent to 1:8. A multiplication table. In the row labeled 1, the numbers 1, 2, 3, 4, 5, 6, 7, 8 and 9 are highlighted. In the row labeled 8, the numbers 8, 16, 24, 32, 40, 48, 56, 64, and 72 are highlighted. If Jose extends the pattern in the highlighted rows to include a ratio that has a first term of 10, what would be the second term of the ratio?

What is the logarithmic function modeled by the following table? x f(x) 9 2 27 3 81 4

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?

Which of the following statement about pascal's triangle are true?