The table you're working at keeps wobbling.
You decide to fix it by making a thick pad of
paper from folded sheets of paper. Each
time you fold a sheet in two, the number of
layers doubles. You fold a first sheet of
paper 3 times and stick it beneath the
wobbly leg. It doesn't quite do the trick, so
you fold another sheet of paper 2 times and
put it beneath the wobbly leg too. In total,
how many layers of paper did it take to
prop up the table?
_layers

Peter applied to an accounting firm and a consulting firm. he knows that 30% of similarly qualified applicants receive job offers from the accounting firm, while only 20% of similarly qualified applicants receive job offers from the consulting firm. assume that receiving an offer from one firm is independent of receiving an offer from the other. what is the probability that both firms offer peter a job?

What value is a discontinuity of x squared plus 8 x plus 4, all over x squared minus x minus 6?

The school track has eight lanes. each lane is 1.25 meters wide. the arc at each end of the track is 180. the distance of the home straight and the radii for the arcs in the 1st 4 lanes are given. s=85m r1=36.5m r2=37.75m r3=39m r4=40.25m part one: find the radii of lanes 5 through 8 of the track. show your work. part two: if max ran around lane one, how far did he run? show your work and explain your solution. part three: max wants to run a total of three laps around the track, choose two additional lanes (2-8) for him to run and find the distance around those two lanes. show your work and round to the hundredths. part 4: based on your lane choices in part three, what was the total distance max ran in the three laps around the track?