1)the gradual change in the length of your shadow over the course of the day is caused 2)which of the following occurs when the sun is directly above earth’s equator? 3)in the northern hemisphere, the longest day occurs on the

If the demand function for a commodity is given by the equation p2 + 16q = 1200 and the supply function is given by the equation 300 − p2 + 2q = 0, find the equilibrium quantity and equilibrium price. (round your answers to two decimal places.)

Atrain departs from its station at a constant acceleration of 5 m/s. what is the speed of the train at the end of 20s?

Total solidification times of three casting geometries are to be compared: a sphere, a cylinder, in which the length-to-diameter ration - 1.0, and a cube. volume = 1000 cm^3 for all three shhapes, and the same casting alloy is used. a) determine the solidification times of each geometry b) based on the results of part (a), which geometric element would make the best riser? c) if the mold constant = 3.5 min/cm^2 in chvorinov's rule, compute the total solidification time for each casting.