A scientist is taking temperature measurements at different elevations on Mt. Everest. The temperature at base camp is 22℃. The scientist observes that the temperature decreases by 5℃ every 1000 meters. A student writes a mathematical model for the temperature-elevation relationship: T=(-5℃)E
where T is temperature in degrees celsius and E is elevation in meters.

This mathematical model is wrong. Your answer should explain what is wrong with the original model, and what a correct model would be.

Look at the potential energy diagram for a chemical reaction. which statement correctly describes the energy changes that occur in the forward reaction?

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.)

The dot diagram represents the motion of the motorcycle as it moves from left to right