Tony stark wants to build a 100 meter high tower as quickly as possible. he has unlimited resources and an unlimited budget and is willing to spend any amount to get the job done.

he has chosen to build the tower with blocks that are 100 meters long and 100 meters wide, but only 1 meter tall. the blocks interlock on top and bottom (like legos). they cannot be stacked sideways.

using special lifters, putting one stack on top of another stack takes one week regardless of how high the stacks are. what is the shortest amount of time that it will take to build the tower?
your answer should be in weeks.

before you answer the question for a 100 meter high tower, let’s find the answer for a 5 meter high tower and a 10 meter high tower.
5 meter -
10 meter -
100 meter -

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?

Select the two pairs of figures that are similar.

The function below show how much jayna and hannah charge for babysitting. which statement best compares the two plants?