Which expression is equivalent to this polynomial expression? (2a – 3b)(2a2 + 6b2) + (6a2b + 12ab2 – 7b3)
A. 4a3 + 12a2b + 24ab2 – 11b3
B. 4a3 + 12a2b – 25b3
C. 4a3 – 12a2b - 24ab2 - 11b3
D. 4a3 + 24ab2 – 25b3

An automated water dispenser fills packets with one liter of water on average, with a standard deviation of 5 milliliter. the manual says that after a year of operation the dispenser should be tested to see if it needs recalibration. a year later a number of filled packets are set aside and measured separately. it is found that the average packet now contains about 0.995 liters. does the dispenser need calibration? explain your answer.

Which number line correctly shows 0.8 + 0.3?

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?