A quantity Q increases at a rate proportional to its current size. If the initial population is given by Q0, then the expression for the time it takes for the population reach three times (treble) its initial size is Ln3/Q0.

Q: A tank contains 90 liters of fluid in which 40 grams of salt is dissolved. Pure water is then pumped…

A: Given that a tank contains 90 liters of fluid which has 40 grams of salt. If pure water is added to…

Q: 9) A rectangular swimming pool has a base that is 10m by 20m. Water is being pumped into the pool at…

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Q: A quantity Q increases at a rate proportional to its current size. If the initial population is…

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Q: A mold grows at a rate proportional to its present size. Initially there is 2 oz of this mold, and…

A: Let size of mold at time t is yt then according to given condition dydt α yt⇒dydt=kyt where k is…

Q: 4. A hazardous material was found to decay at a rate proportional to the amount present. Initially,…

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Q: A quantity with an initial value of 1800 continuously at a rate of o.7% per hour. What is the value…

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Q: 3. A certain radioactive material is known to decay at a rate proportional to the amount present. If…

A: We row that general equation for the radio active decy is M=M0e-kt            Where "M0 " is…

Q: radioactive isotope decays in such a way that the number of atoms present ven time, N(t), obeys the…

A: In this question, the concept of the differential equation is applied. Differential Equation A…

Q: 10. The radioactive isotope of lead (Pb-209) decays at a rate proportional to the amount present at…

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Q: A tank initially holds 1 cubic meter of a brine solution containing 20 kg of salt. Att= 0, fresh…

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Q: 3. The population of a community is known to increase at a rate proportional to the number of people…

A: Let initial population P0Population at time t is P.

Q: 1. A 30 m tank is full of brine with 40 kg of dissolved salt. Pure water enters the tank at a rate…

A: Use the rate of flow of water and salt to define an equation. Now integrate the equation using the…

Q: 3. A process creates a radioactive substance at the rate of 1 g/hr, and the substance decays at an…

A: 3. Rate of creation of radioactive substance is 1 g/hr The mass of substance at time t is q(t) gm…

Q: An executive conference roomof a corporation contains 4500 ft3 of air initially free of carbon…

A: Given :           An executive conference room of a corporation contains 4500 ft3 of air initially…

Q: 5. A bacteria colony grow at a rate of 11% per year. If the initial sample has a mass of 500 gram…

A: Initial mass of the bacteria P0=500 grams  growth rate r=11% per year =0.11 per year  Let size of…

Q: 1. A tank initially holds 100 gallons of brine solution containing 20 lbs. of salt. At t = 0, fresh…

A: Solution...

Q: 1. A tank contains 1,000 L of water and 20 kg of dissolved salt. Fresh water is entering the tank at…

A: Here we are given that A tank contains 100 L of water and 20 kg of dissolved salt.Fresh water is…

Q: Radium decomposes at a rate proportional to the quantity of radium present. Suppose it is found that…

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Q: 1. The population of a town grows at a rate proportional to the population present at time t. The…

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Q: 1.The population of the Philippines has doubled in the last 50 years.The population of the…

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Q: A sample of 500 g of radioactive lead-210 decays to polonium-210 according to (c) 10 yr. (d) Find…

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Q: A quantity Q increases at a rate proportional to its current size. If the initial population is…

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Q: At time t years, an industry consumes fuel at the rate of (3t + 27)/³ million barrels per year. (i)…

A: Given rate of consumption of fuel = (3t + 27)^1/3 million barrels per year. (i) In the next 10…

Q: Initially 100 milligrams of a radioactive substance was present. After 6 hours the mass had…

A: The amount remaining after hours 24 hours is 88.5 milligrams.

Q: Radium decomposes at a rate proportional to the amount present. If the half-life is 1600 years, find…

A: NOTE: Refresh your page if you can't see any equations. . the initial amount is a=100% half-life is…

Q: A tank initially holds 1 cubic meter of a brine solution containing 20 kg of salt. Att = 0, fresh…

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: A tank contains 240 liters of fluid in which 10 grams of salt is dissolved. Pure water is then…

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Q: An executive conference room of a corporation contains 4500 ft3 of air initially free of car-bon…

A: Let y(t) be the amount of carbon monoxide in that conference room at time t.

Q: 10. A ladder 15 feet long leans against a vertical wall. Suppose that when the bottom of the ladder…

A: In the question we have to find the rate of rising of top end.

Q: 1. A tank contains 45 liters of a chemical solution prepared by dissolving 80 g of a soluble…

A: Initial condition t= 0min of tank45 liters = Amount of solution in tank, v080g        = Amount of…

Q: 1. The area of a triangle is increasing at a rate of 2 as the altitude increases at a rate of 1. How…

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Q: Initially, 10 grams of a radioactive substance were found in a sample. It was observed In z that 20%…

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Q: The population of student in a University grows at some specific rate at time t. After (ln 40) hours…

A: Suppoose  rate of population growing = r Initial population = P0 The population growth is given by…

Q: The half life of radium−226 is 1590 years. Let m(t) = m0 exp (kt) be the mass of radium−226 that…

A: Half time of the radium is 1590 years. m0=100mg Half time of the radium is 1590 years.…

Q: Consider a tank used in hydrodynamic experiments. After one experiment the tank contains 200 L of a…

A: y=amount of salt at time t  ............the water is fresh

Q: A tank contains 200 liters of fluid in which 30 grams of saltis dissolved. Brine containing 1 gram…

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Q: The half-life of Palladium-100 is 4 days. After 16 days a sample of Palladium-100 has been reduced…

A: Use radioactive substance formula to determine it

Q: A tank contains 150 liters of fluid in which 20 grams of salt is dissolved. Pure water is then…

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Q: 1. A certain radioactive material is known to decay at a rate proportional to the amount present.…

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Q: At time t years, an industry consumes fuel at the rate of (3t + 27)/3 million barrels per year. (i)…

A: Given that at time t years, an industry consumes fuel at the rate of 3t+2713 million barrels per…

Q: Radium decomposes at a rate proportional to the amount present. In 100 yrs, 100 mg of radium…

A: Initial radium quantity Ni = 100 mg after t = 100 years N = 96 mg

Q: half-life of Palladium-100 is 4 days

A: We have to find out the initial mass and the mass after 6 weeks.

Q: 1. The population of bacteria in a culture grows at a rate proportional to the number of bacteria…

A: We have to calculate initial number of bacteria

Q: 3.Radium decomposes approximately at a rate proportional to the amount present. If 100 g now will be…

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Q: 2. A bacteria culture is known to grow at a rate proportional to the amount present. After one hour,…

A: We will use exponential growth Function Here.

Q: 1. After 2 days, 10 grams of a radioactive substance is present. Three days later, 5 grams is…

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Q: The population of bacteria in a culture grows at a rate proportional to the number of bacteria…

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