There are two paths that one can choose to go from Sarah's house to James' house. One way is to take street, and the other way requires to take A street(1.5 miles) and then B street(2 miles). How much shorter is the direct path along C street? (Using figure
and round to the nearest tenth of a mile)
Sarah
house
Distance taking the two streets:
Distance taking street:
Street
1.5 miles
house
How much shorter is the direct path:

What is the inverse of the function f(x) = 2x + 1?

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?

Solve with work both bert and ernie received an increase in their weekly salaries. bert's salary increased from $520 to $520. ernie's salary went from $580 to $645. find the percent of increase for each salary. what was the larger of the two percents ?