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liraira [26]
3 years ago
13

Name

Mathematics
2 answers:
damaskus [11]3 years ago
5 0

Slope formula: y2-y1/x2-x1

= 4-2/-5-2

= 2/-7

= -2/7

Hope This Helped! Good Luck!

kaheart [24]3 years ago
3 0

Answer:

Slope is -2/7

Step-by-step explanation:

Slope formula is y₂-y₁/x₂-x₁

So...

(x₁,y₁) and (x₂,x₂) →(2,2) and (-5,4)

4-2= 2

-5-2= -7

2/-7

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What is the circumference of a circle with a diameter of 5 feet? Use 3.14 for pie.
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Animal populations are not capable of unrestricted growth because of limited habitat and food supplies. Under such conditions th
trasher [3.6K]

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(a) 100 fishes

(b) t = 10: 483 fishes

    t = 20: 999 fishes

    t = 30: 1168 fishes

(c)

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Step-by-step explanation:

Given

P(t) =\frac{d}{1+ke^-{ct}}

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Solving (a): Fishes at t = 0

This gives:

P(0) =\frac{1200}{1+11*e^-{0.2*0}}

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Solving (a): Fishes at t = 10, 20, 30

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P(10) =\frac{1200}{1+11*e^-{0.2*10}} =\frac{1200}{1+11*e^-{2}}\\\\P(10) =\frac{1200}{1+11*0.135}=\frac{1200}{2.485}\\\\P(10) =483

t = 20

P(20) =\frac{1200}{1+11*e^-{0.2*20}} =\frac{1200}{1+11*e^-{4}}\\\\P(20) =\frac{1200}{1+11*0.0183}=\frac{1200}{1.2013}\\\\P(20) =999

t = 30

P(30) =\frac{1200}{1+11*e^-{0.2*30}} =\frac{1200}{1+11*e^-{6}}\\\\P(30) =\frac{1200}{1+11*0.00247}=\frac{1200}{1.0273}\\\\P(30) =1168

Solving (c): \lim_{t \to \infty} P(t)

In (b) above.

Notice that as t increases from 10 to 20 to 30, the values of e^{-ct} decreases

This implies that:

{t \to \infty} = {e^{-ct} \to 0}

So:

The value of P(t) for large values is:

P(\infty) = \frac{1200}{1 + 11 * 0}

P(\infty) = \frac{1200}{1 + 0}

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