If 7x + 5y=25 and 3x+2y= what is the value of x+y

What is the missing term? -4.-12.x 12.-4 . 2x ? 2.2 3х +1

Murrr4er [49]

Answer:

Step-by-step explanation:

The question is not displaying correctly.

4x·3x = 12x²

5 0

2 years ago

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

2 years ago

Mrs. Henderson wants to build a fence around the rectangle or garden in her backyard in the scale drawing the perimeter of the g

VMariaS [17]

280 is the answer ///////////////////////////////////

3 0

2 years ago

15 x sin(30)=?/15 x 15

Delicious77 [7]

Answer:

The exact value of

sin

(

30

)

sin(30) is

1

2

12.

15

⋅

1

2

15⋅12

Combine

15

15 and

1

2

12.

15

2

152

The result can be shown in multiple forms.

Exact Form:

15

2

152

Decimal Form:

7.5

Mixed Number Form:

7

1

2

712

Step-by-step explanation:

8 0

2 years ago

Alex bought a new aquarium. He is in the process of setting it up. The aquarium is in the shape of a right rectangular

mr Goodwill [35]

Answer:

4%

Step-by-step explanation:

Formula for volume of a right rectangular prism is;

V = lwh

Where;

l is length

w is width

h is height

We are given l = 367; w = 24; h = 19

Thus;

Volume is;

V_full = 367 × 24 × 19

V_full = 167352 in³

We are told that Alex filled the aquarium with 6039 in³ of water.

Thus, percentage of the aquarium filled with water is;

(6039/167352) × 100% = 3.61%

Approximating to nearest percent gives; 4%

3 0

2 years ago