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2 years ago

11

ALL THE WAYS THIS CAN BE NAMED DONT GUESS TY

1 answer:

Leviafan [203]2 years ago

6 0

Answer:

Step-by-step explanation:

∠A - Angle can also be named by the vertex holding the angle.

∠TAR

∠RAT

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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

The equation x 2 + 10 x + 25 = 0 has one solution.

Natalija [7]

Answer:

Yes

Step-by-step explanation:

X2+10x+25=0

So let's solve

10=5,5

25=5,5

So let's continue

X2+5x+5x+25

Let's factorise

X(x+5)+5(x+5)=0

(X+5)(x+5)=0

So

X+5=0

Substrate 5 from both sides

X=-5(twice)

So the answer is yes

4 0

3 years ago

Expression when m=8 and n=7 n+6m

Andrews [41]

All you have to do is plug m and n into the equation:

n+6m

Since n=7, you'll get:

7+6m

And since m=8, you'll get:

7+6(8)

And by doing the order of operations (PEMDAS), you'll start off multiplying 6 and 8, which is 48, then add 7, which is 55.

Your answer should be 55!

7 0

3 years ago

Read 2 more answers

12. Simplify –3√ 2 + 3√ 8 . <br><br> A. 3√ 2 <br> B. –3√ 2 <br> C. 0<br> D. 9√ 2

scZoUnD [109]

Your answer would be, A. <span>3√ 2. Hope I helped you :)</span>

3 0

3 years ago

Read 2 more answers

Pls help I’m failing math

MrRa [10]

Answer:

y = 3/7+0

Step-by-step explanation:

This is what I got, hope this helps.

3 0

3 years ago