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Marta_Voda [28]
3 years ago
8

HELP ASAP WILL MARK BRAINLIEST

Chemistry
1 answer:
almond37 [142]3 years ago
5 0

Answer:

Its C

Explanation:

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The average blood alcohol concentration (BAC) of eight male subjects was measured after consumption of 15 mL of ethanol (corresp
Jlenok [28]

Answer:

  • <u>(a) 0.00587 mg/min</u>

  • <u>(b) - 0.00222 mg/min</u>

Explanation:

The function that modeled the data is:

  • C(t) = 0.0225te^{-0.0467t}

Since you need to determine how rapidly the concentrations will vary (increase or decrease) at different times, this is the instantaneous speed or rate of change, you need to find the first derivative of C(t), C'(t)

The next steps show the use of the rule of chain to find C'(t):

C(t) = 0.0225te^{-0.0467t}\\ \\ C'(t)=0.0225[e^{-0.0467t}-0.0467te^{-0.0467t}]\\ \\ C'(t)=0.0225e^{-0.0467t}-0.00105075e^{-0.00467t}t

Now that you have the expression for the speed at which the concentration changes, you just need to substitute the values.

(a) How rapidly was the BAC increasing after 9 minutes? (mg/mL)/min

C'(9)=0.0225e^{-0.0467(9)}-0.00105075(9)(e^{-0.0467(9)})}\\ \\ C'(t)=0.00857mg/min

(b) How rapidly was it decreasing half an hour later (t = 30)? (mg/mL)/min

C'(30)=0.0225e^{-0.0467(30)}-0.00105075(30)(e^{-0.0467(30)})}\\ \\ C'(t)=-0.00222mg/min

6 0
3 years ago
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