Tanner wants to fill his swimming pool using two hoses, each of which sprays water at a constant rate. Hose AA fills the pool in aa hours when used by itself, where aa is a positive integer. Hose BB fills the pool in bb hours when used by itself, where bb is a positive integer. When used together, Hose AA and Hose BB fill the pool in 66 hours. How many different possible values are there for a? a) 5
b) 6
c) 9
d) 10
e) 12

If an electric circuit is not grounded it is best to reach out and touch it to provide the ground a. true or b. false

Aleaky 10-kg bucket is lifted from the ground to a height of 15 m at a constant speed with a rope that weighs 0.7 kg/m. initially the bucket contains 45 kg of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the 15-m level. find the work done. (use 9.8 m/s2 for g.) show how to approximate the required work by a riemann sum. (let x be the height in meters above the ground. enter xi* as xi.) lim n → ∞ n (9.8)(45−3 xi) i = 1 δx express the work as an integral. 0 dx evaluate the integral. (round your answer to the nearest integer.) j

Which statement describes the formation of our sun? a disk formed of long trails of stars coiled into a spiral. it formed an elliptical flattened disk. heat and gases contracted within a nebula. gravity pushed stars away from a center core.