Point E is on line segment DF. Given DE=2x, EF=2x-6, and DF=3x+5, determine the numerical length of EF.

Questions 14 through 23, choose the onest answer. write your answer in the box forestion 24. mark your answer on the coordinatene grid for question 25.the sum of three consecutive even numbers is 96.what is the largest of these numbers? (a) 30(b) 32(c) 34(d) 36

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 expression is rational? 6. , square root two, square root 14, square root 49