A certain population of microorganisms grows at a rate proportional to the amount present under a controlled environment. Initially, the population is 250. It grew to 800 after 7 hours. Match each item to a choice: How much is the population after 9.5 hours? What is the particular solution to the DE? Choices: P = 250e -0.166t P= 250e0.166t P = 250e -0.116t : 1310 # 1210 ! none of these # 1410 # 1110 # none of these P = 250e0-116t

Q: 2. A tank contains 2,000 liters of brine. Brine containing 5N/liter of salt flows in at 10…

A: We will find out the initial concentration of the salt for the given problem.

Q: A tank contains 400 Liters of brine. Twelve liters of brine, each containing 2.5 lb of dissolved…

A:

Q: Number of bacteria in a rapidly growing culture was estimated to be 10,000 at noon, 40,000 after…

A:

Q: A culture of yeast grows at a rate proportional to its size. If the initial population is 4000 cells…

A: Let's find.

Q: 6

A:

Q: If a substance is injected into the bloodstream, the percent of the maximum dosage that is present…

A:

Q: At what rate in cubic centimeters per minute is the volume increasing at this instant?

A:

Q: A 200-gal tank is half full of distilled water. At time t = 0, a solution containing 0.5 lb /gal of…

A: Given that the size of the tank is 200 gallon. Half of it is full, that means 200/2=100 gallon is…

Q: A tank contains 2,000 gallons of brine. Brine containing 5 lb/gallon of salt flows in at a rate of…

A:

Q: When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are…

A:

Q: When a factory operates from 6 AM to 6 PM, its total fuel consumption varies according to the…

A:

Q: A certain drug breaks down in the human body at a rate of 12% per hour. The initial amount of the…

A:

Q: A bacterial population starts with 400 bacteria and grows at a rate of r(t) = (450.264)el.12567t…

A: as per bartleby guidelines i can do only first question .please ask other part separately.

Q: The management of a large chain of frozen yogurt stores in New England believes that t days after…

A: Here, V =70000+70000 e-0.47t

Q: From the beginning of the year 2000, the annual world demand for oil has increased. To account for…

A: Let's find.

Q: A tank contains 10m^3 of free water, brine having a concentration of 15kgsalt/m^3 is sent into the…

A:

Q: Given dp/dt=cp(1-p)-ep. Given that p represents the fraction of islands occupied, 0 < p < 1. Let c…

A: Solution: Consider the given equation is dpdt = cp1-p-ep where p represents the fraction of islands…

Q: the radiator in a car is filled with a solution of 60% antifreeze and 40% water. the manufacturer of…

A: In a 3.6 L radiator, the quantity of antifreeze is given by: In a 3.6 L radiator, the quantity of…

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

A:

Q: The half-life of strontium-90 is 28 years. How long will it take a 50-mg sample to decay to a mass…

A: Introduction: The half-life is the amount of time it takes for a quantity to decline to half its…

Q: Two populations of bacteria were given food treated with different vitamins to see how they would…

A:

Q: Suppose you have a 200-gallon tank full of fresh water. A drain is opened that removes 3 gal/sec…

A: Let the concentration of brine =x lb/gal Amount of salt entering in per minute = 2 gal1 min×x lb1…

Q: When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are…

A:

Q: 4. The growth rate of a colony of ants is given by the formula 10t 2 (1+t²)² where t is measured in…

A: The growth rate of a colony of ants is given by 10t/(1+t2)2 Initially there are 100 ants ∴ Number of…

Q: A lake has a water volume of 450 km³ and a flow rate (in and out) of 175 km³ per year. If at some…

A: The rate of change in pollution equals the product of the flow rate and pollution change. Therefore…

Q: A body whose temperature is 50°F is placed in a warming oven whose temperature is 100°F. After 5…

A:

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

A:

Q: a) a sample of iodine-131 has a weight of 3 mg and a half life of approximately 8 days.  how much of…

A:

Q: A population of insects increases at a rate of 75 + 5t + 0.2t^2 insects per day. If there are…

A: We have given that population of insects increases at a rate of 75+5t+0.2t2 insects per day.…

Q: Given that bugs grow at a rate of 0.95 with a volume of 0.002. How many weeks would it take to fill…

A: Solution : given, Rate of bugs growing = 0.95 bug/second volume of a bug =0.002 unit I) number of…

Q: 1. A tank contains 80 gallons (gal) of pure water. A brine solution with 2 Ib/gal of salt enters at…

A: Given that, a tank contains 80 gallons (gal) of pure water. A brine solution with 2 lb/gal of salt…

Q: While Mia is playing in a sandbox, Mike, a biochem unyor, is sitting in a lab and trying to solve a…

A: Fghh

Q: A bacteria culture starts with a population of 1000 bacteria, and after 2 hours, the population grew…

A: Solution and Explanation is given below

Q: 1. A body at 50 degrees C cools inside a room with temperature of 30 degrees C. At what temperature…

A: Let's find.

Q: A 500-gal tank initially contains 100 gal of brine containing 50 lb of salt. Brine containing 2 Ib…

A: Given:   Equation data is given

Q: past hobbits, the executive board of the oil company Denethor estimates that oil will be pumped from…

A:

Q: An organism increases in mass by 12 percent every hour. If it starts with a mass of A grams, which…

A: Given An organism increases in mass by 12 percent every hour. Initial mass = A grams

Q: A bacterial colony is estimated to have a population of P thousand individuals, where P(t) = 24t +…

A:

Q: Sugar dissolves in water at a rate proportional to the amount still undissolved. If there were 70 kg…

A: The amount of sugar present initially is 70 kg and at the end of 4 hours only 30 kg is left. The…

Q: In some chemical reactions,the rate at which the amount of a substance changes with time…

A:

Q: We have a mixing tank that contains 100 gallons of water into which 5 pounds of sugar have been…

A: According to question. Initial amount of water in tank= 100gallons Initial amount of sugar = 5 pound

Q: In the DE: Ans:[a) 0.10 percent, b) 3.47 min]. 1. a.) Find the percentage of  Carbon dioxide in the…

A: Please check step 2 and 3 for the solution.!

Q: A 200-gal tank is half full of distilled water. At what time (t) = 0, a solution containing 0.5…

A: A 200-gal tank is half full of distilled water. At what time (t) = 0, a solution containing 0.5…

Q: A tank contains 50 gallons of a solution composed of 90% water and 10% alcohol. A second solution…

A:

Q: After some analysis, it has been proposed that the following van der Waals equation of state can be…

A: Given that, The van der Waals equation of state can be used to describe this…

Q: A 25-liter gas cylinder contains 80% oxygen and 20%   helium. If helium is added at a rate of 0.2…

A: The volume of cylinder =25 litre The percentage of oxygen in the cylinder initially=80% The amount…

Q: A 100L-capacity tank initially holds 80L of fresh water. A brine solution is poured into the tank at…

A: A brine solution is poured into the tank at the rate of 4 L/hr, while the well-stirred mixture…

Q: After 12 hours, half of a 16 gram sample of a radioactive element remains. Find the constant k for…

A:

Q: The width of a rectangle is increasing at rate of 2cm/sec while the length increases at 3cm/sec. At…

A:

Q: In a room containing of air 20,000 m3 of air, 600 m3 of fresh air flows in per minute, and the…

A: