A tank contains 400 liters of fluid in which 15 grams of salt aredissolved. Brinecontaining 3 grams of salt per liter is then pumped into the tank at the rate of 8liters per minute, and the well mixed solution is then pumpedout at the slowerrate of 2 liters per minute. Write a differential equation, with initial condition, that models the amount of saltA(t)in the tank at timet. Extra Credit (6 points)

In a sample of 2023 u. s. adults, 373 said franklin roosevelt was the best president since world war ii. two u. s. adults are selected at random from the population of all u. s. adults without replacement. assuming the sample is representative of all u. s. adults, complete parts (a) through (d). (a) find the probability that both adults say franklin roosevelt was the best president since world war ii. the probability that both adults say franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (b) find the probability that neither adult says franklin roosevelt was the best president since world war ii. the probability that neither adult says franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (c) find the probability that at least one of the two adults says franklin roosevelt was the best president since world war ii. the probability that at least one of the two adults says franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (d) which of the events can be considered unusual? explain. select all that apply. the event in part left parenthesis a right parenthesis is unusual because its probability is less than or equal to 0.05. the event in part (b) is unusual because its probability is less than or equal to 0.05. none of these events are unusual. the event in part (c) is unusual because its probability is less than or equal to 0.05.

Which of the following is true for the relation f(x)=2x^2+1

Write the point-slope form of the line passing through (2, -12) and parallel to y=3x.