←A 600-gal tank initially contains 100 gal of brine containing 25 lb of salt. Brine containing 2 lb of salt per gallon entersthe tank at a rate of 5 galls, and the well-mixed brine in the tank flows out at the fate of 3 gal/s. How much salt will thetank contain when it is full of brine?kF45ºThe tank will contain 1193 lb of salt when it is full of brine.(Type an integer or decimal rounded to two decimal places as needed.)Ask my instructorTYF5F69 8UINM6FOG H J K LF9(...)F10ZF11ENTER2F12Clear allALPRISCINSDELSCALKHOMEENDPAUSEPG UPCheck answerPG DN4 THNUM7HOMIon 4on 8 (

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Answered: A 600-gal tank initially contains 100…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A 200-liter tank initially contains 100 liters of brine solution containing 25kg of salt. A brine solution containing 0.5 kg/ liter of salt flows into the container at a rate of 1 liter/min. The solution is kept thoroughly mixed, and the mixture flows out at a rate of 0.5 liters/min. How much salt is in the container after 10 minutes? When the tank is about to overflow, another drain is opened at 1 liter/min. How much salt is in the tank when the volume returns to what it was initially?
A tank originally contains 100 gal of fresh water. Then water containing lb of salt per gallon is poured into the tank at a rate of 2 gal/min, and the mixture is allowed to leave at the same rate. After 10 min the process is stopped, and fresh water is poured into the tank at a rate of 2 gal/min, with the mixture again leaving at the same rate. Find the amount of salt in the tank at the end of an additional 10 min. Round your answer to two decimal places. i 3 lbs
A box is partially filled with liquid. The length of the box is 11 inches. The width of the box is 17 inches. If the volume of the liquid is increasing at a rate of 562 cubic inches per minute, what is the rate, in inches per minute, at which the height of the liquid is changing when the height of the liquid is 4 inches? Round your answer to the nearest hundredth. (Do not include any units in your answer.)
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.
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…
Two chemicals A and B are combined to form a chemical C. The rate, or velocity, of the reaction is proportional to the product of the instantaneous amounts of A and B not converted to chemical C. Initially, there are 40 grams of A and 50 grams of B, and for each gram of B, 2 grams of A is used. It is observed that 20 grams of C is formed in 6 minutes. How much (in grams) is formed in 12 minutes? (Round your answer to one decimal place.) grams What is the limiting amount (in grams) of C after a long time? grams How much (in grams) of chemicals A and B remains after a long time? A B Need Help? grams grams Read It Watch It Master
A large tank contains 120 gallons of pure water. Brine containing 1.5 lbs. of salt per gallon of water enters the tank at a rate of 4 gal/min. The mixture leaves the tank at a slower rate of 2 gal/min. Find an expression for the amount of salt in the tank at time t.
The population of a small island is growing at a rate that is proportional to its size. In 2016, the island's population is 1400, and in 2020, the island's population is 1600. What will the island's population be in 2030? O = 2234 There is not enough information to answer this. O = 2553 O = 1955

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