Suppose the concentration of a drug in a patient's bloodstream t hours after a treatment is modeled by A(t) = 0.021t 158e units. The concentration after t = 3 hours will be units (round your answer to three decimal places). The concentration will reach 49 units after hours (round your answer to two decimal places).

Q: The efficiency E (in %) of an automobile engine is given by: E= 0.736 s-0.00005 s3 where s is the…

A:

Q: The value of a car depreciates exponentially after it is purchased. In other words, V(t) = 20(0.5)t…

A:

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: The rate of increase of the number of working married couples M (in millions) in the United States…

A: Given: The rate of increase of the number of working married couples M in the US from 2008 through…

Q: A radioactive substance decays in such a way that the amount left after t years is given by A=100e…

A: Follow the procedure given below.

Q: Initially 45 grams of radioactive substance was present. After 2 hours the mass had decreased by 6%.…

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Q: The z-score for 960 h is -0.74. Using the answer from Step 1, what percent of these light bulbs will…

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Q: A tank initially holds 80 gal of a brine solution containing 1/8 lb of salt per gallon. At t=0,…

A:

Q: Initially 67 grams of radioactive substance was present. After 3 hours the mass had decreased by 5%.…

A: Let at time t=0, Radioactive substance present is A0 At time t→At Radio-active decay law is given by…

Q: If F = 0.85 and MSE = 86, what is MST equal to?

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Q: Is y=1/4 x05 a power function? And why

A: We have to check

Q: The value of a piece of a vehicle after t years is given by V = 47,500 (0.7). Round all your answers…

A: Find the value of vehicle after 2 and 5 years :-

Q: In 1991 it was estimated that there were about 100 breeding pairs of Northern Spotted Owls. It was…

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Q: SSx = 172.5, SSY = 80.6, and ∑[(X – Mx) (Y – MY)] = 95.33, r =  A. .08. B. .01 C. –.81. D. .81.

A: SSx = 172.5 SSY = 80.6 and ∑[(X – Mx) (Y – MY)] = 95.33

Q: Initially 64 grams of radioactive substance was present. After 2 hours the mass had decreased by…

A:

Q: measuring the amount of salt in the tank and note that after å WHlle Il is no longer changing…

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Q: Recall the expected change in 28-day strength is equal to ₁ = 1.2 times the increase in accelerated…

A: It is given that the slope β1 = 1.2.

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.