Function f is represented by the equation given below. function g has a vertex at (2,4) and the parabola opens downwards. which of the following statements is true? the y-intercept of function f is less than the y-intercept of function g. the minimum of function f is at (-5,6). the y-intercept of function f is greater than the y-intercept of function g. the minimum of function g is at (2,4).

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?

Find the perimeter of the figure shown above. a. 50 cm c. 30 cm b. 64 cm d. 60 cm select the best answer from the choices provided a b c d

One of the inventors of integrated circuits observed that the number of transistors that fit on an integrated circuit will double every 24 months. what type of relationship most appropriately models this situation?