A tank contains 3000 gallons of pure water. Polluted water containing 2 lb of sludge per gallon enters the tank at a rate of 5 gallons/hour. The solution is thoroughly mixed and drains from the ank at a rate of 6 gallon/hour. Find a formula for the concentration of pollutants at time t. Sketch he graph of the concentration over time (you are welcome to use a graphing calculator), clearly showing the valid domain for your solution.

Please give me complete, neat, and organized solutions and boxed final answers.

According to Boyle's law, which graph shows the relationship between the pressure (æ) and volume (y) for a certain amount of gas?

Plz help. Thanks so much.

A fish population starts at 15000. The (annual) birth rate is 0.4; the (annual) death rate is 0.3. In addition, 1500 fish are stocked each year, and 2000 are caught and removed from the population each year. Determine the size of the population after 1 year and 2 years Answer to the nearest 1.

Please answer within 30min thanks.

Each row represents an experimental “run” (in this case, averaged sample of mango wine). Column A shows the run number; Column B shows the percentage of ethanol; Column C shows the amount of glycerol (in g/L); Column D shows the amount of acid (in g/L); Column E shows the temperature of the run (in °C); and Column F shows the pH of the run. Y represents Ethanol of mango wine. 1. Create a scatterplot of the ethanol data for all 20 runs  a. Draw a graphical representation of the model that you chose to use. b. Comparing the model to your data, evaluate its fit in one or two sentences. (Not sure what this question is getting at. I've provided all the information given) c. Replace the generic Yi = β0 + ε with the information you have here. Please help. I have no idea what this even means or where to start. HERE is the attached dataset to start with;    a          b             c              d            e           f Run Ethanol Glycerol Acidity Temp pH 1 4.8 3.5 0.84 24 3.8 2 9.6…

Suppose that you test apple juice and find that the hydrogen ion concentration [H+]=0.0003. Find the pH value and determine whether the juice is basic or acidic.

The intrest on an investment varies directly as the rate of intrest. If the intrest is $53 when thw inntrest rate is 5%, find the intrest when the rate is 3.8%.    The intrest when the rate of intrest is at 3.8% is $_____.

Consider the equation from a previous homework:  INCOME = -1.5 + 1.2*AGE + ε Suppose income wasn't expressed in thousands of dollars but just in dollars. What would the coefficient for AGE be?