2. A plant that floats on the surface of rural bodies of water is known as duckweed. The initial mass of a population of duckweed is 500 kg. The mass of the population triples every 45 hours and can be represented by the function m(t) = 500 · 3, where t is time in hours. Determine how many hours it would take for the duckweed to grow to a mass triple the original size.

Q: When a drug is administered orally it takes some time before the blood concentration reaches its…

A:

Q: 4) A typical cup of coffee contains 100 mg of caffeine. Every hour, approximately 16% of the amount…

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Q: 11) The number of acres in a landfill is given by the function B = 2900e-0.05t, where t is measured…

A: As per our guidelines,  we can answer only first question . Kindly repost rest question separately.

Q: solve for t

A:

Q: Fifty percent of the amount of a certain drug is eliminated from the body every hour. A 500mg drug…

A: Given that, Fifty percent of the amount of a certain drug is eliminated from the body every hour…

Q: 101. Video Sharing In 2006 about 33% of Americans reported watching online videos via sharing sites…

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Q: The population of a city is described by the function P(t)=67,240(1.013)t, where t is the number of…

A: Explanation of the answer is as follows

Q: Solve for X: 53x +1=17 log5-log17 3log5 log17-log5 5log3 log17-log5 3log5 No Solution O log5+log17…

A: Given; 53x+1 = 17.

Q: Find the average daily inventory.

A: Given: A local pasta company receive 600 cases of alfredo sauce every 30 days. The number of cases…

Q: The number of carbon atoms in a fossil is modeled by the function, C(z) = 5100 (0.93), where, x,…

A: SOLUTION-

Q: A manufacturer estimates that she can sell a maximum of 100 thousand cell phones in a city. By…

A:

Q: In 2005 a record 51.5% of paper consumed in the US was recycled.  The American Forest and Paper…

A: Given, In 2005 a record 51.5% of paper consumed in the US was recycled.  The American Forest and…

Q: Find the number of pounds of salt in the tank as a function of time.

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Q: A cable hangs between two poles of equal height. The cable takes the shape of the function y = 5…

A:

Q: A punter in football kicks a football high in the air. The height of the football can be given by…

A: A. Consider the given function, hx=-0.009x2+1.61x+2 Substitute x=0 to get the initial height of the…

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.