6· [10pts] a 300-gal tank initially contains 100 gal of brine containing 30 lbs of salt. brine containing 1 lb of salt per gallon enters the tank at the rate of 6 gal/s, and the well-mixed brine in the tank flows out at the rate of 4 gal/s. how much salt will the tank contain when it is full of brine? it's the question about elementary differential equation. provide specific solution and explanation with clear handwriting.

Element x decays radioactively with a half life of 8 minutes. if there are 450 grams of element x, how long, to the nearest tenth of a minute, would it take the element to decay to 37 grams?

Consider 6x2 + 6x + 1. which term immediately tells you that this expression is not a perfect square trinomial? justify your answer

Data for the height of a model rocket launch in the air over time are shown in the table. darryl predicted that the height of the rocket at 8 seconds would be about 93 meters. did darryl make a good prediction? yes, the data are best modeled by a quadratic function. the value of the function at 8 seconds is about 93 meters. yes, the data are best modeled by a linear function. the first differences are constant, so about 93 meters at 8 seconds is reasonable. no, the data are exponential. a better prediction is 150 meters. no, the data are best modeled by a cubic function. a better prediction is 100 meters.