Betty weighs 432 n and she is sitting on a playground swing seat that hangs 0.41 m above the ground. tom pulls the swing back and releases it when the seat is 0.94 m above the ground. the acceleration of gravity is 9.8 m/s 2 . how fast is betty moving when the swing passes through its lowest position? answer in units of m/s.

Atank holds 1000 gallons of water, which drains from the bottom of the tank in half an hour. the values in the table show the volume v of water remaining in the tank (in gallons) after t minutes.t(min) 5 10 15 20 25 30v(gal) 694 444 250 111 28 0(a) if p is the point (15, 250) on the graph of v, find the slopes of the secant lines pq when q is the point on the graph with t = 5, 10, 20, 25, and 30.(b) estimate the slope of the tangent line at p by averaging the slopes of two secant lines.(c) use a graph of the function to estimate the slope of the tangent line at p. (this slope represents the rate at which the water is flowing from the tank after 15 minutes.)show all steps.

Drag each item into the proper state of matter category.

If the chemical properties of a substance remain unchanged and appearance or shape of a substance changes it is called a ?