Carlos has taken an initial dose of a prescription medication.
1 answer:
Answer:
3.48 hours
Step-by-step explanation:
The equation is:
Where
M(t) is the amount of medication remaining in mg
t is the time it takes, in hours
The questions asks HOW LONG it will take to make the remaining medication to 1 milligrams (1 mg)??
We have to substitute M(t) with "1" and find the corresponding value of "t". We will use natural log to solve this. Shown below:
<u>Note: </u> Ln(e) = 1
This means, the amount of time it will take is about 3.48 hours
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The second fold is 2 times 2, which is 4.
The third fold is 4 times 2, which is 8.
Using this process, we can simplify that into exponents. If the amount of times you fold is x and the parts double for each fold, then the amount of parts can be represented by:
So if the amount of parts is given and we need the amount of folds, just keep doubling until you get to 64. The amount of times you doubled is the number of times Sylvie folded.
Later you will learn that the opposite of an exponent is a logarithm, which would look like this:
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One fold is 2 times 1, which is 2.
The second fold is 2 times 2, which is 4.
The third fold is 4 times 2, which is 8.
Using this process, we can simplify that into exponents. If the amount of times you fold is x and the parts double for each fold, then the amount of parts can be represented by:
So if the amount of parts is given and we need the amount of folds, just keep doubling until you get to 64. The amount of times you doubled is the number of times Sylvie folded.
Later you will learn that the opposite of an exponent is a logarithm, which would look like this:
But don't worry about that yet.