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3 years ago

10

Help plz lolllll and explain how plz

1 answer:

irakobra [83]3 years ago

8 0

Answer:13 inches of snow

equation y

=2x

48 inches of snow

Step-by-step explanation:

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Find all of the equilibrium solutions. Enter your answer as a list of ordered pairs (R,W), where R is the number of rabbits and

zloy xaker [14]

Answer:

$(0,0)$ $(4000,0)$ and $(500,79)$

Step-by-step explanation:

Given

See attachment for complete question

Required

Determine the equilibrium solutions

We have:

$\frac{dR}{dt} = 0.09R(1 - 0.00025R) - 0.001RW$

$\frac{dW}{dt} = -0.02W + 0.00004RW$

To solve this, we first equate $\frac{dR}{dt}$ and $\frac{dW}{dt}$ to 0.

So, we have:

$0.09R(1 - 0.00025R) - 0.001RW = 0$

$-0.02W + 0.00004RW = 0$

Factor out R in $0.09R(1 - 0.00025R) - 0.001RW = 0$

$R(0.09(1 - 0.00025R) - 0.001W) = 0$

Split

$R = 0$ or $0.09(1 - 0.00025R) - 0.001W = 0$

$R = 0$ or $0.09 - 2.25 * 10^{-5}R - 0.001W = 0$

Factor out W in $-0.02W + 0.00004RW = 0$

$W(-0.02 + 0.00004R) = 0$

Split

$W = 0$ or $-0.02 + 0.00004R = 0$

Solve for R

$-0.02 + 0.00004R = 0$

$0.00004R = 0.02$

Make R the subject

$R = \frac{0.02}{0.00004}$

$R = 500$

When $R = 500$ , we have:

$0.09 - 2.25 * 10^{-5}R - 0.001W = 0$

$0.09 -2.25 * 10^{-5} * 500 - 0.001W = 0$

$0.09 -0.01125 - 0.001W = 0$

$0.07875 - 0.001W = 0$

Collect like terms

$- 0.001W = -0.07875$

Solve for W

$W = \frac{-0.07875}{ - 0.001}$

$W = 78.75$

$W \approx 79$

$(R,W) \to (500,79)$

When $W = 0$ , we have:

$0.09 - 2.25 * 10^{-5}R - 0.001W = 0$

$0.09 - 2.25 * 10^{-5}R - 0.001*0 = 0$

$0.09 - 2.25 * 10^{-5}R = 0$

Collect like terms

$- 2.25 * 10^{-5}R = -0.09$

Solve for R

$R = \frac{-0.09}{- 2.25 * 10^{-5}}$

$R = 4000$

So, we have:

$(R,W) \to (4000,0)$

When $R =0$ , we have:

$-0.02W + 0.00004RW = 0$

$-0.02W + 0.00004W*0 = 0$

$-0.02W + 0 = 0$

$-0.02W = 0$

$W=0$

So, we have:

$(R,W) \to (0,0)$

Hence, the points of equilibrium are:

$(0,0)$ $(4000,0)$ and $(500,79)$

4 0

3 years ago

Please help me with this question!!!!!!!!!1

sesenic [268]

Girl i have no clue, good luck broskiii

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3 years ago

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Two hot air balloons are traveling along the same path away from the town, beginning from different locations at the same time.

spin [16.1K]

Answer: a

Step-by-step explanation:

7 0

3 years ago

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What is the size of a elephants trunk?

Mila [183]

Answer: An elephant’s trunk is usually around 6 feet in length, but can be up to 7 feet long. The trunk alone can weigh as much as 140 kg and can hold 12 litres of water. How fast do elephants run? Elephants can run faster than you would expect, easily reaching speeds of 40 mph - a lot faster than us humans can run!

Step-by-step explanation:

4 0

3 years ago

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A company produces optical-fiber cable with a mean of 0.6 flaws per 100 feet. What is the probability that there will be exactly

Mars2501 [29]

Answer:

$P(X = 4) =0.133$

Step-by-step explanation:

From the question we are told that:

Mean $\x=0.6/100$

Flaws $f=4$

Distance $d_2=1000ft$

Generally the equation for Poisson mean lambda over 1000 is mathematically given by

$\lambda=0.6*1000/100$

$\lambda = 6$

Therefore

$P(X = 4) = {e^-\lambda * \lambda^{\=x}} {{\=x}!}$

$P(X = 4) =\frac{ e^{-6} * 6^4}{ 4!}$

$P(X = 4) =0.133$

4 0

3 years ago