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vitfil [10]
4 years ago
14

When doctors prescribe medicine, they must consider how the drug’s effectiveness declines as time passes. If each hour a drug is

only 90% as effective as the previous hour, at some point the patient will have to be given another dose in order for the drug to remain effective. If the initial dose was 500 mg and the drug was administered 6 hours ago, how long will it take for the initial dose to reach a level of 150 mg?
This is an example of
A) exponential growth.
B) exponential decay.
C) quadratic growth.
D) logistic decay.
Mathematics
2 answers:
ziro4ka [17]4 years ago
6 0

Answer:         B                 have a good day and good luck  ;]

Step-by-step explanation:

Pie4 years ago
5 0

Answer:

B)

Step-by-step explanation:

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This problem is a rate times time problem.  To find the total amount, you must take the rate per unit of time, and multiply it by the given unit of time

Step-by-step explanation:

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Answer my math question I asked so many times I lost most of points by
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Step-by-step explanation:

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Serggg [28]
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5 0
3 years ago
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Find dy du , du dx , and dy dx .
dangina [55]

Answer:

a) \frac{dy}{du}=5(x^2 +1)^4, \frac{du}{dx}=2x, \frac{dy}{dx}=10x(x^2+1)^4  

b) \frac{dy}{du}=4(4x^2-x+6)^3, \frac{du}{dx}=8x-1, \frac{dy}{dx}=4(8x-1)(4x^2-2+6)^3  

Step-by-step explanation:

We can use the chain rule in the following form: is u=u(x) is a differentiable function depending on x and y=y(u) is a differentiable function depending on u, then \frac{dy}{dx}=\frac{dy}{du} \frac{du}{dx}.

a) \frac{dy}{du}=\frac{d}{du} (u^5)=5u^4=5(x^2 +1)^4 from the power rule.  

\frac{du}{dx}=\frac{d}{dx} (x^2 +1)=2x.

From the previous parts and the chain rule, \frac{dy}{dx}=\frac{dy}{du} \frac{du}{dx}=5(x^2 +1)^4(2x)=10x(x^2+1)^4  

b) \frac{dy}{du}=\frac{d}{du} (u^4)=4u^3=4(4x^2-x+6)^3  

\frac{du}{dx}=\frac{d}{dx} (4x^2-x+6)=8x-1 from the power and sum rules.

Then, \frac{dy}{dx}=\frac{dy}{du} \frac{du}{dx}=4(4x^2 -x+6)^3(8x-1)=4(8x-1)(4x^2-x+6)^3  

8 0
4 years ago
the length of a chord of a circle is 24 cm long and is 5 cm away from the center of the circle what is the radius of the circle​
iogann1982 [59]

Answer:A chord with length 24 cm at 5 cm from the center gives a radius of 13 cm, using a half-length of 12 cm and the distance of 5 cm in Pythagoras’s theorem to find the radius.

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can i have brainlest

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3 years ago
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