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Lapatulllka [165]

3 years ago

7

Pt=3x+8and TQ =5x-6 PT=?

1 answer:

GalinKa [24]3 years ago

8 0

Because yeah I just don’t know that question to the answer so hopefully somebody finds it and you have a good day

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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

If sin 21 = cos (5x+9) what is the value of x

n200080 [17]

sin x = cos 54 = sin (90-54) = sin 46

Hence x = 46 deg

Same technique. Sin 21 = cos (5x+9) = sin (90-5x-9)

81-5x = 21

Or 5x = 60

Or x = 12 deg

hope it helps

4 0

4 years ago

I need help on 2 since I'm not sure and 6 since I don't understand (please show work)

asambeis [7]

Draw a patio with parallel lines or show with tic marks or show the congruent angles

4 0

3 years ago

Find the surface area of the prisma

Llana [10]

Answer:

320 hope it helps :)

Step-by-step explanation:

5 0

3 years ago

Can you help me on attached picture

saveliy_v [14]

Answer:

its 15 lol

this is elementary school or something???

Step-by-step explanation:

IF

3 * x =9

then do 9/3=3

So you are multiplying by 3

So therefore you would do that to 5 so its 9/15

and 9/15 and 3/5 are the same, just that 9/15 isnt simplified

hope this helps have a nice day!!

3 0

3 years ago

Read 2 more answers