Bacteria in a certain culture increase at the rate proportional to the number umber? bacteria present. If the original number increases by 50% in 0.5 hour, how long will one expect three times the original

Q: Initially 100 milligrams of a radioactive substance was present. After 9 hours the mass had…

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Q: An investment grows by 8% per year for 10 years. By what percent does it increase over the 10-year…

A: Given that - An investment grows by 8% per year for 10 years. By what percent does it increase over…

Q: A radioactive substance has a half-life of 29 years. What percent remains 80 years after being…

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Q: In 2021 a country has a population of 103 million and a growth rate of -0.0448 percent. Assuming…

A: Given population = 103million Rate of decreasing=- 0.0448% Time = 5 year

Q: 8. A population of ducks grew from 420 to 8000 in 6 years. If the population growth is linear, what…

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

Q: The half-life of Carbon-13 is 5750 years. Samples taken at an excavation site show that a one…

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Q: 3.) A water faucet leaked 2 , liters of water every /3 leaked at a rate of how many liters per hour?…

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Q: Radium decompose in air at the rate proportional to the amount present. If initially there 20 grams,…

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Q: 2. In the midyear of 2020, a country's population 109,581,078 with a growth rate of approximately…

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Q: The half-life of a radioactive substance is 25 years. Suppose we have a 100 mg sample. Find the mass…

A: For a radioactive substance N(t)=N0×e-λt                --> Eq'n(1)…

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

A: Let dx/dt = the rate of growth of the bacteria  Let t = time (in hours) after start of culture  Let…

Q: Three thousand dollars is deposited in the bank at 4% interest compounded continuously. What will be…

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

A:

Q: ne length of the rectangle is decreasing at a rate of 5 cm per second, and its width is increasing…

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Q: a population of bacteria originates with 2500 bacteria. After a harmful substance is introduced into…

A: Initial population of bacteria= 2500 The rate of decline of the bacteria population= 10% Also,…

Q: An unknown radioactive element decays into non- radioactive substances. In 320 days the…

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Q: a population of 30 bunnies is increasing at a rate of 40% per year. How many bunnies will be there…

A: In the given question we have to find the population of bunnies after 5 years.

Q: A population of cattle is increasing at a rate of 800 + 80 t per year, where t is measured in years.…

A: Growth of population is given by the eq. 800+80t. We have to determine the population increase in…

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

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

A: let amount of material present at any time t be p(t) let p0 be the intial  amount of material at…

Q: Initially 100 milligrams of a radioactive substance was present. After 7 hours the mass had…

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Q: . Radium decomposes at a rate proportional to the amount at any instant. In 100 years, 100 mg of…

A: Given problem Radium decomposes at a rate proportional to the amount at any instant. In 100 years,…

Q: 3. After 4 days, 25 g of radioactive substance is present. Five days later, 15 grams is present. a.…

A: Topic:- exponential decaying function

Q: Use the approximate​ half-life formula for the case described below. Discuss whether the formula is…

A: Hence the half life of forest is 13.86 years.

Q: Initially 56 grams of radioactive substance was present. After 4 hours the mass had decreased by 6%.…

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

A:

Q: After 15 years, one fourth of the initial mass of radioactive substance has decayed. a) Find the…

A: The given problem is to find the half life and percentage loss in the 90 years for the given radio…

Q: Radium decomposes at a rate proportional to the amount present. If half the original amount…

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Q: The half-life of Palladium-100 is 4 days. After 20 days a sample of Palladium-100 has been reduced…

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Q: A rare isotope of a nuclear material is very unstable, decaying at a rate of 11% each second. Find…

A: We have to find the remaining of isotope after 12 seconds of 6 grams of it's creation.

Q: A box is partially filled with sand. The length of the box is 12 mm. The width of the box is 18 mm.…

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Q: An unknown radioactive element decays into non-radioactive substances. In 420 days the radioactivity…

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Q: A population grows at a rate of 18% each week. After how many weeks will this population double?…

A: as per guidelines, we will solve the first question only. Let P(t) denotes the population after t…

Q: The fox population in a certain region has an annual growth rate of 6% per year. In the year 2012,…

A: Given The fox population in a certain region has an annual growth rate of 6% per year. In the year…

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

A:

Q: A culture of the bacterium Salmonella enteritidis initially contains 50 cells. When introduced into…

A: Given: A culture of the bacterium Salmonella enteritidis initially contains 50 cells. When…

Q: Radioactive isotope Palyium-2021 decays at a rate proportional to the amount present. If the…

A:

Q: A tank initially contains 200L of fresh water. Brine containing 2N/L of dissolved salt enters the…

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Q: Assume a quantity decreases by 7.5% in 5.3 hours. What is the half-life of the substance? hours

A: Calculating the half life of the substance using the given conditions

Q: A radioactive material decomposes at a rate proportional to the amount present. If three-fourths of…

A:

Q: A factory bought a machine a certain number of years ago, and the value of the machine depreciated…

A: here we took rate as negative because it is given as depreciation.

Q: In a lab experiment, the decay of a radioactive isotope is being observed. At the beginning of the…

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Q: e en

A: Introduction: Exponential growth may be an information pattern that illustrates a rise over time by…

Q: 95. At a certain point on a heated plate, the greatest rate of temperature increase, 5°C per meter,…

A: (95) Let , f = f(x,y) be the temperature at any point. We know the greatest rate of temperature…

Q: The half-life of Palladium-100 is 4 days. After 24 days a sample of Palladium-100 has been reduced…

A:

Q: 5) One airplane is approaching an airport from the north at 145 km/hr. A second airplane approaches…

A: When the distance between the airport and the southbound plane is 30 km & the distance between…

Q: An unknown radioactive element decays into non- radioactive substances. In 540 days the…

A: 1) The half life equation is P(t) = P (0)*(0.5)t/H   P(t) is the quantity at time t (proportional to…

Q: Part A. The radius of a sphere is increasing at a rate of 4 mm/s. How fast is the volume increasing…

A: Volume of sphere =(4/3)πr3   surface Area of sphere =4πr2