) What is the regression equation? Remember, use 3 decimal places for ALL answers. mu^^\^y|x = + x (b) What is the estimated mean velocity of objects that are 1.9 megaparsecs from Earth? (c) Can we use the regression equation to estimate the mean velocity of objects that are 2.6 megaparsecs from earth? Yes, we can estimate the mean velocity of objects that are any distance from earth. No, because 2.6 is outside the range of the data values for the explanatory variable. (d) If you were to test the claim that there is a positive linear relationship between the explanatory and response variable, what would your null and alternative hypotheses be? H0: b1 =0 and Ha: b1 < 0 H0: b1 = 0 and Ha: b1 ≠ 0 H0: b1 =0 and Ha: b1 > 0 H0: β1 =0 and Ha: β1 < 0 H0: β1 = 0 and Ha: β1 ≠ 0 H0: β1 =0 and Ha: β1 > 0

Aforce of 200 n is applied to an input piston of cross-sectional area 2 sq. cm pushing it downward 2.8 cm. how far does the output piston of cross-sectional area 12 sq. cm move upward? show all work.

Suppose water is leaking from a tank through a circular hole of area ah at its bottom. when water leaks through a hole, friction and contraction of the stream near the hole reduce the volume of water leaving the tank per second to cah 2gh , where c (0 < c < 1) is an empirical constant. a tank in the form of a right-circular cone standing on end, vertex down, is leaking water through a circular hole in its bottom. (assume the removed apex of the cone is of negligible height and volume.) (a) suppose the tank is 20 feet high and has radius 8 feet and the circular hole has radius 2 inches. the differential equation governing the height h in feet of water leaking from a tank after t seconds is dh dt = − 5 6h3/2 . if the height of the water is initially 8 feet, how long will it take the tank to empty? (round your answer to two decimal places.)

Although longitudinal waves can travel through all media types what is the disadvantage of this type of wave transmission? a) he efficiency of he wave transmission is greatly diminished as the media becomes less dense b) the oscillation of one set of particles has a huge impact on neighboring particles c) particles become too close together as they bump into each other making it more likely to hit other particles down the line