Ahot metal bar is submerged in a large reservoir of water whose temperature is 75∘f. the temperature of the bar 20s after submersion is 120∘f. after 1min submerged, the temperature has cooled to 100∘f. (a) determine the cooling constant k. k= s−1 (b) what is the differential equation satisfied by the temperature f(t) of the bar? f′(t)= use f for f(t). (c) what is the formula for f(t)? f(t)= (d) determine the temperature of the bar at the moment it is submerged. initial temperature = ∘f

The midpoints? a, b, and c are marked on the histogram. match them to the indicated scores. which? scores, if? any, would be considered? unusual?

A250-n box is at rest on a frictionless horizotal floor. then a person shoves the box with a non-zero force of magnitude p. which statement best describes the relationship betweeen p and the motion of the box after it was shoved? -the box will not move when p< 250n but otherwise will accelerate at a constant rate that is directly proportional to p - the box will begin moving at a speed that is directly proportional to p, then will gradually slow to a halt -the box will move with constant velocity at a speed that is directly proportional to p -box will accelerate across the floor at a constant rate that is directly proportional to p

The substances that are necessary for producing of certain hormones and that store and transport vitamins