Plutos distance P(t) (in billions of kilometers) from the sun as a function of time(t) (in years) can ve modeler by a sinusoidal expression of the form a×sin(b×t)+d. At year t=0, Pluto is at its average distance from the sun, which is 6.9 billion kilometers.

Name each raycalculation tip: in ray "ab", a is the endpoint of the ray.

Two airplanes start at the same place and travel in opposite directions,one at 395 miles per hour and the other at 422 miles per hour. how many hours will it take for the planes to be 2451 miles apart?

Titus works at a hotel. part of his job is to keep the complimentary pitcher of water at least half full and always with ice. when he starts his shift, the water level shows 4 gallons, or 128 cups of water. as the shift progresses, he records the level of the water every 10 minutes. after 2 hours, he uses a regression calculator to compute an equation for the decrease in water. his equation is w –0.414t + 129.549, where t is the number of minutes and w is the level of water. according to the equation, after about how many minutes would the water level be less than or equal to 64 cups?