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3 years ago

30 POINTS

1 answer:

8 0

Anemia is a condition where there is deficiency in healthy red blood cells or hemoglobin resulting in pallor or weakness. It results in low level of hemoglobin which is the protein that transports oxygen around the body. Lack of oxygen in the body will result to weakness, shortness of breath and dizziness. Nikoleta's symptoms of malaise, lethargy and being tired is usually caused by too much work of the heart. In anemic patient, the heart has to pump faster than normal because it has to supply red blood cells around the body. Since the heart is working double-time, it usually results to being tired, lethargic and malaise of the person with anemia. Nikoleta's pale skin is attributed also on the fact that she has low supply of red blood cells around the body. If Nikoleta is lethargic and always tired, little things may irritate her immediately, hence, her being cranky

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The count in a bacteria culture was 100 after 20 minutes and 2000 after 40 minutes. Assuming the count grows exponentially, What

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Explanation:

Let X be the number of bacteria at time t, and Xo be the initial number of bacteria

Bacteria grows exponentially, the exponential growth model is thus:

X = Xo $e^{kt}$

[e is the exponential sign]

k is the growth constant = growth rate

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At t = 40 minutes, X = 2000

Substituting that into the formula

(i) ... 100 = Xo $e^{k20}$

(ii) ... 2000 = Xo $e^{k40}$

Divide (ii) by (i)

$\frac{2000}{100} = \frac{Xoe^{40k} } {Xoe^{20k}}$

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[Xo cancels Xo. Division of values raised to a power is done by subtracting their powers]

Take the natural log of both sides

㏑20 = 20k

[taking the ㏑ cancels the exponential]

k = $\frac{ln20}{20}$

We can now substitute k to solve one of the equations

substituting k in (ii): 2000 = Xo $e\frac{ln 20}{20}.^{40}$

2000 = Xo $e^{0.15*40}$

2000 = Xo $e^{6}$

Making Xo the subject of the formula

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Xo is approximately 5 cells.

THE DOUBLING TIME

The doubling time is the time it takes for the population to double, so 5 cells become 10 cells

Since Xo = 5

Given that X = Xo $e^{kt}$

When X=10,

10 = 5 $e^{0.15t}$

solving for t:

$e^{0.15t} = \frac{10}{5}$

Take ln of both sides

0.15t = ln 2

t = $\frac{ln2}{0.15}$

t =4.62 minutes

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X = 5 $e^{0.15*65}$

X = 85770

WHEN WILL THE POPULATION REACH 12000

12000 = 5 $e^{0.15t}$

$e^{0.15t}$ =240

take ln of both sides

0.15t = ln 2400

t = 51.89 minutes (approximately 52 minutes)

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