A bacteria culture starts with 800 bacteria. Two hours later there are 1,280 bacteria. Find an exponential model for the size of the culture as a function of time t in hours. f(t) = 800·1.6t2​       Use the model to predict how many bacteria there will be after 2 days. (Round your answer to the nearest hundred thousand.)  ______ bacteria

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Q: Soon after taking an aspirin, a patient has absorbed 320 milligrams of the drug. After 2 hours, only…

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A: At April 1, x=0       f(x)=Abxf(x=0)=Ab0    1084=A At April 15, x=14       f(x)=Abxf(x=14)=1084b14…

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Q: A bacteria culture starts with 2,000 bacteria and doubles in size every 3 hours. Find an exponential…

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A: Let the equation is of the form f(t)=A(b)t  At t=0, f(t)=1200so, 1200=A(b)0 or, A=1200so,…

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Q: During an​ epidemic, the number of people who have never had the disease and who are not immune​…

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Q: A bacteria culture starts with 1,500 bacteria and doubles in size every 4 hours. Find an exponential…

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Q: A bacteria culture starts with 800 bacteria. Two hours later there are 1,280 bacteria. Find an…

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Q: The number of bacteria in a culture is increasing according to the law of exponential growth. There…

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Q: During an epidemic, the number of people who have never had the disease and who are not immune (they…

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A: Exponential function

Q: 2. RATE OF HEALING. The area of a wound decreases exponentially with time. The area A of a wound…

A: Let's find.

Q: The number of bacteria in a culture is increasing according to the law of exponential growth. There…

A: Let's find.

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Q: The substance's amount at time t may be modeled by an exponential function. Substance X has an…

A: Solution is below

Q: A bacteria culture starts with 1,200 bacteria. Two hours later there are 1,920 bacteria. Find an…

A: on solving the problems we get

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Q: In 2012, the population of a city was 5.43 million. The exponential growth rate was 2.75% per year.…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.