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The Rate of Change with Respect to Time of the Quantity

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The rate of change with respect to time of the quantity q of pain reliever in a person's body t hours after the individual takes the medication is proportional to the quantity of medication remaining. Assume that 5 hours after a person takes 400 milligrams of a pain reliever, one-half of the original dose remains. How much pain reliever will remain after 10 hours? Round your answer to the nearest milligram.


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The United States' top federal judiciary body, made up of nine members, with supreme authority over all other national courts.

Dual Federalism

The political arrangement in which state governments and the federal government exercise exclusive and separate powers, as opposed to sharing authority or collaborating on decisions.

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