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Paraphin [41]
3 years ago
7

Clara is taking a medicine for a common cold. Her body metabolizes the medicine over a certain time interval. The table below sh

ows the amount of medicine f(t), in mg, that was present in Clara's body after time t.
t (hours) 1 2 3 4 5
f(t) (mg) 236.5 223.73 211.65 200.22 189.41


Heidi was administered 300 mg of the same medicine. The amount of medicine in her body f(t) after time t is shown by the equation below.

(t) = 300(0.946)t
Mathematics
2 answers:
sleet_krkn [62]3 years ago
8 0
1) Let's write the data of Clara's table just to have them ready to compare

t (hours)          1               2               3             4               5
f(t) (mg)         236.5    223.73      211.65     200.22       189.41
Change(mg)     -          -12.77       -12.05     -11.43      -10.81

2) Now calculate the amount of medicine as per Heide's formula, 300(0.946)^t:

 t (hours)             1             2                 3             4               5
f(t) (mg)           283.8    268.48         253.98     240.26      227.29
Change (mg)                 -15.12          -14.5     -13.72          -12.97

Now you can compare the data and realize that the rate of change of Heide is greater than the rate of change of Clara, meaning that Heide eliminates the medicine faster than Clara.
Feliz [49]3 years ago
6 0

Answer:

Clara's body eliminated the antibiotic at the same rate as Heidi's body.

Step-by-step explanation:


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Answer:

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Step-by-step explanation:

Let

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3 years ago
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Dahasolnce [82]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
A sector with a radius of 15 cm has a central angle measure of 8π/5 what is the area of the sector
Inessa05 [86]

Answer:

area of the sector = 360π cm²

Step-by-step explanation:

To calculate the area of the sector, we will follow the steps below;

First write down the formula for calculating the area of a sector.

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In this case the angle is measured in radiance, hence we will use the second formula

From the question given, radius = 15 cm  and angle Ф = 8π/5

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kiruha [24]

Answer:

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Step-by-step explanation:

5 0
3 years ago
A student solved this problem by making a table.
bagirrra123 [75]
Hello! I can help you with this! For this problem in order to find the amount of months it will take for them to have the same amount of money, we can write and solve an equation. 

1. Okay. Amira has $80, and saves $40 a month. Max has $40 and saves $50 a month We have the numbers, so we can write the equation. Set it up like this:

80 + 40x = 40 + 50x

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4 0
3 years ago
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