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NNADVOKAT [17]
3 years ago
8

Can someone help me please please

Mathematics
2 answers:
solong [7]3 years ago
7 0

Answer:

With? I dont see an image if you attached one

Step-by-step explanation:

Sonja [21]3 years ago
4 0
Y would be 90 and x is 61
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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 following data represent weights (pounds) of a random sample of professional football players on the following teams. X1 = w
alexandr1967 [171]

I don't have an idea of what the answer is to be honest.

8 0
2 years ago
What is the base of a triangle with an area of 207 square inches and a height of 18 inches
White raven [17]
Answer: 23 in

Step-by-Step Explanation:

Height (h) = 18 in
Base (b) = ?
Area (A) = 207 sq. in

We know,
Area of a Triangle = 1/2 * b * h

Therefore,
1/2 * b * h = 207
1/2 * b * 18 = 207
b * 9 = 207
9b = 207
b = 207/9
=> b = 23

Base (b) = 23 in
4 0
1 year ago
Pleassdee need help I'll brainlist ​
NikAS [45]

Answer:

A^2 means a*a

Step-by-step explanation:

A^2 = 5^2=5*5=25

3a^2=3*5^2=3*25=75

A^2+7=5^2+7=25+7=32

5 0
3 years ago
Read 2 more answers
The cost C (in dollars) of making n watches is represented by C=15n 85. How many watches are made when the cost is $385?
FromTheMoon [43]
We know that C is 385, so we can plug that in to get the equation 385=15n+85. To find the number of watches, we have to solve for n.
To do that we have to...

385=15n+85

First subtract both sides of the equal sign by 85 (because we need to do the opposite)

300=15n (because 85-85 is zero, so we eliminated that, and 385-85 is 300)

Now we divide both sides of the equal sign by 15 (again, opposites)

20=n (because 15n/15 leaves us with n since both 15s cancel out, and 300/15 is 20)

So the number of watches made were 20.
7 0
3 years ago
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