A farmer wants to fence an area of 6 million square feet in a rectangular field and then divide it in half with a fence parallel to one of the sides of the rectangle. Let y represent the length (in feet) of a side perpendicular to the dividing fence, and let x represent the length (in feet) of a side parallel to the dividing fence. Let F represent the length of fencing in feet. Write an equation that represents F in terms of the variable x.

Answers

Answer 1


If the rectangular field has notional sides X and y then it has area
A(x) =xy { =6•10^6 sq ft }
The length of fencing required, if
x
is the letter that was arbitrarily assigned to the side to which the dividing fence runs parallel, is:l (x) = 3x +2y

It matters not that the farmer wishes to divide the area into 2 exact smaller areas.
Assuming the cost of the fencing is proportional to the length of fencing required, then
C(x)=a L (x)

To optimise cost, using the Lagrange Multiplier
λ
, with the area constraint :

So the farmer minimises the cost by fencing-off in the ratio 2:3, either-way
A Farmer Wants To Fence An Area Of 6 Million Square Feet In A Rectangular Field And Then Divide It In
Answer 2

The relationship between variable F and x is 2x + 12000000/x

Let y represent the length (in feet) of a side perpendicular to the dividing fence, and let x represent the length (in feet) of a side parallel to the dividing fence.

Let F represent the length of fencing in feet.

Area of fencing = 6000000 ft²

Area of fencing = x * (y + y) = x * 2y

Area of fencing = 2xy

6000000=2xy

xy = 3000000

y = 3000000/x

The perimeter is:

F = x + y + y + x + y + y

F = 2x + 4y

F = 2x + 4(3000000/x)

F = 2x + 12000000/x

Therefore the relationship between variable F and x is 2x + 12000000/x

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A Farmer Wants To Fence An Area Of 6 Million Square Feet In A Rectangular Field And Then Divide It In

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Step-by-step explanation:

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Answer:

- 5

Step-by-step explanation:

let the number be n then double is 2n , so

2n + (- 6) = - 16

2n - 6 = - 16 ( add 6 to both sides )

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Answer:

c. is the correct answer

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Encontrar las coordenadas del centro y la longitud del radio de la circunferencia 9x²+9y²+18x-12+10=0

Answers

Answer:

Step-by-step explanation:

The standard form of equation of a circle is expressed as;

x^2+y^2+2gx+2fy+c = 0

The centre is at (-g, -f)

Given the equation'

9x²+9y²+18x-12+10=0

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9x²/9+9y²/9+18x/9-12y/9+10/9=0

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for the radius

r = √f²+g²-c

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r =√4/9 - 9

r = √(4-81)/9

r = √-77/9

Who watching temptation island, The oval and Ruthless tonight?

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Answer:

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Answer:

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Step-by-step explanation:

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Answer:

to 1 decimal place,. (a) tan (3x + ... (i) 2cos 2x – 5sin 2x = 0 R cos(2x + λ) = 0 λ = 68.2 ⇒ 2x + 68.2 = 90 B1. 2x + λ = ... (16cos2x – 9)(cos2x – 1) = 0.

Does the table below represents a linear function why or why not

Answers

Answer:

No, it's not linear function.

Step-by-step explanation:

The x value repeatedly adds 3.

So far its a linear function.

If you look at the y value, it does NOT have a pattern, therefore that means it is NOT a linear function.

What is the range of the function shown in the graph?
у
A
8
6
4
2
-8
f
- 2
X
4
6
8
-2
-4
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Answers

Answer:

A

Step-by-step explanation:

The range of the given function from the given graph are: all values of y that are greater than or equal to -3. Therefore, the correct option is option D.

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Your question is incomplete but most probably your full question was,

What is the range of the function shown in the graph?

Owen bought 9 chicken wings for $15.30. What was the cost of the wings, in dollars per wing?

Answers

Answer:

1.70

Step-by-step explanation:

15.30 ÷ 9 = 1.70

1.70 dollars per chicken wing

I hope this helps

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Answers

Answer:

The savings interest rate of Nakato Nobuki is 3 %

Step-by-step explanation:

Given;

Final amount of Nakato Nobuki, A = $ 24,000.00

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Answer:

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Step-by-step explanation:

4. Which expression is equivalent to - (6x + 9) - (x - 2)?
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Answers

A because 6x + 9 - x + 2 = 5x + 11

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Answers

Answer:

AB = AH

Step-by-step explanation:

Hope This Helps!!

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Answers

The answer is a right triangle meaning that all sides and angles are equal.

Answer:

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Step-by-step explanation:

because it less than 90 degree so it possible to be acute triangle

Calculate the value
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coefficient b of a
quadratic equation
when the
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equation is known.

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Answers

Answer:

The value of b is either + 6 or -6

Step-by-step explanation:

Here, given that we have the value for the discriminant, we want to calculate the value for the coefficient of x

mathematically, the discriminant can be calculated using the equation;

D = b^2 - 4ac

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b represents the coefficient of x given as b

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Answers

Answer:

See explanation

Step-by-step explanation:

Recall that all the sides of the square are equal

Hence;

Area of a rectangle= l * b ------- equation 1

Perimeter of a rectangle = 2(l + b)----------equation 2

Area of the rectangle = 140 square centimeters

140 = lb

l = 140/b

Perimeter of the rectangle =  54 centimeters

substituting l = 140/b into equation 2

54 = 2(140/b + b)

Multiplying through by b

54b = 280 + 2b^2

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2b^2 - 54b + 280 = 0

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b=20 or b=7

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l = 140/20 or l = 140/7

l = 7 or 20

THEREFORE;

b=20 cm or b=7 cm

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Answers

2,340 is the correct answer because all you have to do is just multiply all the sides to get your area.

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Answers

Answer:

$12

Step-by-step explanation:

We are told that there are 20 people in the chess club and each got a discount of $60 for transportation on the field trip.

Let the amount spent by each member is x

Since there are 20 of them and the budget is at least $300 and they get a discount of $60, it means that;

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20x ≥ 240

Divide both sides by 20 to get;

x ≥ 12

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Answers

Answer:

Value of the car at the end of 3 years is £7917.75

Step-by-step explanation:

The car is purchased for £11500.

In the first year, 15% depriciation.

So, depreciation on first year =11500 *[tex]\frac{15}{100}[/tex] =1725

After first year depreciation the value of car =11500-1725 =£9775

Now, second year depreciation is 10%

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Value of car after 2 years = 9775 -977.5 =8797.5

Now, for third year depreciation is 10%.

So, depreciation on 3 year = 10% *8797.5

                                           =0.10*8797.5

                                          =879.75

So, value of car after 3 years = 8797.5 -879.75 =£7917.75

                                               

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Answers

x= 6 x= 1

Step-by-step explanation:

hope this helps..........

2y+4+4y=10
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-11y = 6(2+1) - 13y
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Answers

Answer:

12

Step-by-step explanation:

Let's put the equations in standard form. For the first equation, we have:

−11y=6(z+1)-13y

2y−6z=6

y−3z=3

The second equation is:

4y−24=c(z−1)

4y−cz=24−c

If we multiply the first equation by 4, we get:

4y-12z=12

Comparing the two equations, we see that if c=12, both equations will be the same and there will be infinitely many solutions.

The correct value of c is 12.

Jim ate 50 cookies yesterday. He ate 3 boxes of cookies and 8 cookies. How many cookies were in each box?

Answers

Answer:

Step-by-step explanation:

3b+8c=50c

3b=50c-8c

3b=42c

b=14c

So there are 14 cookies in each box.

Answer:

14

Step-by-step explanation:

First, take away the 8 cookies that were not part of the 3 boxes.

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Now we know that 3 boxes of cookies can hold 42 total cookies. However, we need to know how much cookies 1 box can hold. If the 42 cookies are divided evenly between the 3 boxes, our equation would look like this:

42/3 = 14

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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