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ludmilkaskok [199]
2 years ago
8

How do you do this question?

Mathematics
1 answer:
Alex Ar [27]2 years ago
7 0

Step-by-step explanation:

(a) dP/dt = kP (1 − P/L)

L is the carrying capacity (20 billion = 20,000 million).

Since P₀ is small compared to L, we can approximate the initial rate as:

(dP/dt)₀ ≈ kP₀

Using the maximum birth rate and death rate, the initial growth rate is 40 mil/year − 20 mil/year = 20 mil/year.

20 = k (6,100)

k = 1/305

dP/dt = 1/305 P (1 − (P/20,000))

(b) P(t) = 20,000 / (1 + Ce^(-t/305))

6,100 = 20,000 / (1 + C)

C = 2.279

P(t) = 20,000 / (1 + 2.279e^(-t/305))

P(10) = 20,000 / (1 + 2.279e^(-10/305))

P(10) = 6240 million

P(10) = 6.24 billion

This is less than the actual population of 6.9 billion.

(c) P(100) = 20,000 / (1 + 2.279e^(-100/305))

P(100) = 7570 million = 7.57 billion

P(600) = 20,000 / (1 + 2.279e^(-600/305))

P(600) = 15170 million = 15.17 billion

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Answer:

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if you cant its: $46.50

Step-by-step explanation:

half:

1. 8+8+4=20

2. 15.50 divided by 2 = 7.75

3. 7.75 + 15.50 + 15.50 = 38.75

not half:

1. 8+8+8= 24

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Find the solutions for a triangle with a = 16, c =12, and B = 63º.
maks197457 [2]

Answer:

b. A = 71.6°; C = 45.40°; b =15.0

Step-by-step explanation:

The missing values can be found with the help of the Law of Cosine and properties of triangles:

Side b (Law of Cosine)

b = \sqrt{a^{2}+c^{2}-2\cdot a \cdot c \cdot \cos B}

b = \sqrt{16^{2}+12^{2}-2\cdot (16)\cdot (12) \cdot \cos 63^{\circ}}

b \approx 15.022

Angle A (Law of Cosine)

\cos A = -\frac{a^{2} - b^{2}-c^{2}}{2\cdot b \cdot c}

\cos A = - \frac{16^{2}-15.022^{2}-12^{2}}{2\cdot (15.022)\cdot (12)}

\cos A = 0.315

A= \cos^{-1} 0.315

A \approx 71.639^{\circ}

Angle C (Sum of internal angles in triangles)

C = 180^{\circ} - 63^{\circ} - 71.639^{\circ}

C = 45.361^{\circ}

Hence, the right answer is B.

6 0
3 years ago
An IV bag contained 1000 ml of a solution. The solution was administered to a patient and now there is 400 ml left in a bag afte
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Answer: 100 ml each hour.

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3 years ago
What is 2/5% of 820?<br><br> 1.8<br><br> 2.05<br><br> 2.88<br><br> 3.28
Margarita [4]

Answer:

D) 3.28

Step-by-step explanation:

820/x=100/2.5

(820/x)*x=(100/2.5)*x       - we multiply both sides of the equation by x

820=40*x       - we divide both sides of the equation by (40) to get x

820/40=x

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x=20.5

now we have:

2.5% of 820=20.5

6 0
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