(begin with a regular sheet of 8.5x11 copy paper and fold in half. now there are two layers of paper in the stack. fold the stack in half second time. and continue the process of folding each new stack in half) write a formula for the number of layers in the stack, l, after 5 executions of "fold in half? " algebra 2

1) prove that 731^3−631^3 is divisible by 100 2) prove that 99^3−74^3 is divisible by 25

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?

Solve the equation for b: a= (1/2)(b)(h)