Julie and holly both make bead bracelets. each bracelet has 12 large beads and 20 small beads on it. julie has already made 10 bracelets. holly has already made 16 bracelets. julie can make 2.25 bracelets per hour and holly can make 1.5 bracelets per hour. after how many additional hours, h, will julie and holly have made the same total number of bracelets? which equation below correctly represents the situation above?

a. 2.25h = 1.5h

b. 10 + 16 + 2.25 + 1.5 + 32 = h

c. 10 + 2.25h = 16 + 1.5h

d. 10 + 16 + 32 = 2.25h + 1.5h

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?

For what values of the variable x is the expression square root of 7x+14+ square root of 7-x a real number?

The graph of y=x3 is transformed as shown in the graph below. which equation represents the transformed function?