using formula d(h)=8e^-0.4h to determine the milligrams d of a certain drug in bloodstream h hours after given.how many milligrams will be present after 6 hours?
replace h with 6 and evaluate using your calculator
you should get
d(6) = appr .726
To find the number of milligrams of the drug present in the bloodstream after 6 hours, we can use the given formula:
d(h) = 8e^(-0.4h)
Where:
d(h) represents the number of milligrams of the drug in the bloodstream after h hours.
In this case, we want to find d(6) (the number of milligrams after 6 hours). Substituting h = 6 into the formula gives us:
d(6) = 8e^(-0.4 * 6)
Now, let's calculate this value:
d(6) = 8e^(-2.4)
To evaluate this expression, we need to know the approximate value of "e" (Euler's number), which is approximately 2.71828. Let's plug in this value and calculate the result:
d(6) ≈ 8 * (2.71828)^(-2.4)
Using a calculator, we find:
d(6) ≈ 8 * 0.090718
d(6) ≈ 0.7257
Therefore, after 6 hours, there will be approximately 0.7257 milligrams of the drug present in the bloodstream.
To determine the number of milligrams d of a certain drug in the bloodstream after 6 hours using the formula d(h) = 8e^(-0.4h), plug in the value of h as 6.
d(6) = 8e^(-0.4 * 6)
Now, calculate the exponent:
d(6) = 8e^(-2.4)
Use a scientific calculator or approximation to calculate the value of e^(-2.4):
d(6) ≈ 8 * 0.090718
Now, multiply:
d(6) ≈ 0.725744
After 6 hours, approximately 0.725744 milligrams of the certain drug will be present in the bloodstream.