Mathematics: LOGARITHMS, CONIC SECTIONS, SEQUENCESEvaluating an exponential function with base e that models a real...The number of milligrams D (n) of a drug in a patient s bloodstream h hours after the drug is injected is modeled by the following function.D(h) =40e-0.5hFind the initial amount injected and the amount in the bloodstream after 7 hours.Round your answers to the nearest hundredth as necessary.Initial amount:milligramsAmount after 7 hours:milligramsX5?ExplanationCheck2020 McGraw-Hill Education.

(x-1)(x+1) = 0x = 1 or x = -1Ans : -1 and 1-5 -4 -3 -2 -1 0 1 2 3 4 5--|--|--|---|---|--|---|--|--|--|--|--...

LOGARITHMS, CONIC SECTIONS, SEQUENCESEvaluating

Ответ:

dallisjuhnke

21.01.2022

Mathematics

(a) 40 milligrams

(b) 1.21 milligrams

Step-by-step explanation:

Exponential Function

It's commonly used to model real situations in life, like this one proposed in the question where the number of milligrams of a drug D(h) in a patient's bloodstream h hours after the drug is injected is modeled by the following function.

$D(h) =40e^{-0.5h}$

(a) The initial amount injected to the patient can be found when h=0

$D(0) =40e^{-0.5(0)}=40e^{0}=40$

Initial amount: 40 milligrams

(b) Let's plug h=7

D(7) =40e^{-0.5(7)}=40e^{-3.5}=1.21

The amount in the bloodstream after 7 hours is 1.21 milligrams

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