A tank contains 100\text{L} of water. A solution with a salt concentration of 0.2\text{kg/L} is added at a rate of 7\text{L/min}. The solution is kept thoroughly mixed and is drained from the tank at a rate of 5\text{L/min}. Answer the following questions. 1. If y(t) is the amount of salt (in kilograms) after t minutes, what is the differential equation for which y is satisfied?

What is the equation of a line passing through the point (6,1) and parallel to the line whose equation 3x=2y+4

Which situation can be modeled by the inequality 5 + 10w ≥ 45? a. you start with $5 and save $10 a week until you have at least $45. b.you start with 5 baseball cards and purchase 10 cards every week until you have at most 45 cards. c.you start with 5 water bottles and purchases cases of 10 water bottles each until you have a total of 45 water bottles. d.you spend $5 plus $10 per week until you have less than $45.

Powerful women's group has claimed that men and women differ in attitudes about sexual discrimination. a group of 50 men (group 1) and 40 women (group 2) were asked if they thought sexual discrimination is a problem in the united states. of those sampled, 11 of the men and 19 of the women did believe that sexual discrimination is a problem. if the p-value turns out to be 0.035 (which is not the real value in this data set), then at = 0.05, you should fail to reject h0. at = 0.04, you should reject h0. at = 0.03, you should reject h0. none of these would be a correct statement.