A certain company produces flavored drinking water. During the mixing of the product, 150 gallons of water and 3.4 kilograms of natural flavoring are initially poured into a large mixing tank. Every minute, 15 gallons of water and 0.34 kilograms of natural flavoring are simultanecusly added to the tank. Find the concentration Cof the natural flavoring in the tank after 10 minutes. Note that concentration Cis the ratio of kilograms of natural flavoring F to gallons of water W. Do the following: 1) Construct the table of values. 2) Sketch the graph of the function. 3) Interpret the graph. 4) Determine the domain and range.

Q: How many liters of each 20% (v/v) alcohol and 80% (v/v) alcohol must be mixed to yield 20 liters of…

A: We are given two percentages of alcohol that are 20% and 80%. We have to produce 20 liters of 50%…

Q: Assume that the rate of evaporation for water is proportional to the amount of water in a bowl. If…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: A 40 gal tank initially contains 11 gal of fresh water. At t = 0, a brine solution containing 1.2 lb…

A: Given: The initial volume of water v(0)=11 gallons The initial amount of salt s(0)=1.2 lb Since rate…

Q: Water is pumped from a tank at constant rate, and no more water enters the tank. If the tank…

A: To solve the following problem and find the amount of water left at 6:10pm.

Q: A tank contains 200 gallons of fresh water. Brine containing 2 lbs/gal of salt enters the tank at 4…

A:

Q: A 1500 gallon tank initially contains 600 gallons of water with 5 lbs of salt dissolved in it. Water…

A: This question is related to differetial equations, we will solve it using given information.

Q: In a mixing vat there are initially 100 litres of volatile liquid. 3 litres of fresh liquid are…

A: Solution

Q: A truck travelling southwards at 40kph and a car traveling eastward at a rate of 60kph ar headed for…

A:

Q: A box weighing 50lbs falls from rest and the air resistance is proportional to his speed V and that…

A: We need to find velocity.

Q: A 400-gal tank initially contains 100 gal of brine containing 50 lb of salt. Brine containing 1 lb…

A: Schematic diagram of the given situation:…

Q: The rate of growth of a certain cell culture is proportional to its size. In 10 hours a population…

A: The rate of growth of a certain cell culture is proportional to its size. In 10 hours a population…

Q: A tank contains 2,000 L of brine. Brine containing 5 kg/L of salt flows in at 10 L/min, and the…

A:

Q: There is a large mixing tank that initially holds 120 gallons of brine (water in which salt has been…

A:

Q: A room in a certain factory wanted to improve the CO₂ concentration level which is a high 2500ppm.…

A: The air inside has 2500 ppm of CO2 and volume of 5000 cu.m  Fresh Air has 400 ppm of CO2    Now, let…

Q: A tank has 72 gallons of water. Brine solution with 2lbs of salt per gallon of solution enters at a…

A: here we can use differential equation to solve this question.

Q: If 12oz of a 20% sugar solution is combined with 8oz of a 32% sugar solution find the concentration…

A:

Q: A tank with a capacity of 400 gal originally contains 150 gal of water with 25 lb of salt in…

A:

Q: A body of unknown temperature is placed in a refrigerator at a constant temperature of 0 degree…

A: Given that the body of unknown temperature is placed in a refrigerator at constant temperature of 0…

Q: The side of a cube decreases at a rate of 9 m/sec Find the rate at which the volume changes, when…

A:

Q: A tank contains 200 liters of fluid in which 30 grams of salt is dissolved. Brine containing 2 grams…

A: A tank contains 200 liters of fluid with 30 gm salt is dissolved.2 gm of salt per liter is pumped…

Q: A 400-gal tank initially contains 100 gal of brine containing 50 lb of salt. Brine containing 1 lb…

A:

Q: The length l of a rectangle is increasing at a rate of 7 cm divided by sec while the width w is…

A: Given:-             The length l of a rectangle is increasing at a rate of 7 cm/ sec while the width…

Q: If 150 g of copper at initial temperature of 50 °C gains 6930 J of heat when it is cooled to 170°C.…

A:

Q: A tank contains 80 gallons of pure water. A brine solution with 2lb/gal of salt enters at 2 gal/min,…

A: Given: r1=2 galsmin., r2=2 galsmin.,  c1=2 lbsgal,, v0=80 gallons, x0=0

Q: A 450 gal tank initially contains 110 gal of brine containing 52 Ib of salt. Brine containing 1lb of…

A:

Q: The length l of a rectangle is decreasing at a rate of 2 cm divided by sec while the width w is…

A: Given,           dldt=-2cm/s           dwdt=+2cm/s(a) Area, A=lw              dAdt=ddt(lw)…

Q: The side of a cube decreases at a rate of 7 m/sec. Find the rate at which the volume changes, when…

A:

Q: gallon is poured into the tank at a rate of 2 gal/min, while the well-stirred mixture leaves the…

A:

Q: continuous IV is infusing at 40 mL/h.  How many milliliters will infuse in 30 minutes?

A: 1 hour is equal to 60 minutes.

Q: The volume (v) of a sphere varies directly with the cube of its radius (r). If k is the constant of…

A:

Q: A tank contains 200 gallon of salt water with 150 lbs of dissolved salt. Salt water with 5 lbs of…

A:

Q: If a IV fluid bag is Flowing out of a 1.0 liter bag at the rate of 0.4 cc/min how long will it take…

A: Total volume of fluid flowing out =1.0 litre rate of flowing =0.4 cc/min

Q: A bunch of hooligans dump 164 pounds of  pizza boxes into a lake. If the pizza boxes dissipates at a…

A:

Q: A tank contains 100 L of water. A salt solution containing 2 kg of salt per liter flow in at the…

A:

Q: The side of a cube decreases at a rate of 7 m/sec. Find the rate at which the volume changes, when…

A:

Q: A 100 gallon tank is filled with brine containing 60 pounds of dissolved salt. Water runs into the…

A: Form the differential equation of first order and solve to get the answer.

Q: A tank contains 1000 liters of brine. Brine containing 0.4 kg/liter of salt flows in at 10…

A: Let st= The amount of salt at time t. The brine flows in at the rate 10 liters/minute and flows out…

Q: A 300 gallon tank initially contains 90 gallons of brine containing 400 Ibs. of salt. Brine…

A: Given the tank contains 90 gallons of brine containing 400 lbs of salt.  The above figure shows the…

Q: The side of a cube is increasing at a rate 7m/8, then the rate at which the m³/s. volume of the cube…

A:

Q: A tank initially contains 50 gal. of fresh water. Brine (water in which a certain number of pounds…

A:

Q: A 400-gal tank initially contains 100 gal of brine containing 75 lb of salt. Brine containing 2 Ib…

A: The solution of above question is written below.

Q: The side of a cube decreases at a rate of 10 m/sec. Find the rate at which the volume changes, when…

A: Differentiate volume of cube wrt t

Q: A 150 mg per L solution of drug is administered intravenously at a rate of 30 mL per hr to a patient…

A: Given that: A 150 mg per L solution of drug is administered intravenously at a rate of 30 mL per hr…

Q: A stream containing 80 grams per liter of a dye is pumped into a mixing tank with 400 liters of…

A: The answer is 32kg

Q: A tank contains 2000 liters (L) of a solution consisting of 182 kg of salt dissolved in water. Pure…

A:

Q: A solution with 35% ammonia is added at a rate of 5 liters per minute to a vat that initially…

A: Given: A solution with 35% ammonia is added at a rate of 5 liters per minute to a vat that initially…

Q: A large mixing tank currently contains 300 gallons of water, into which 8 pounds of sugar have been…

A: given: Capacity of tank = 300 gallon Amount of sugar = 8 pounds Rate of pouring of water = 20…