1.For this problem, 200 meters of fencing will all be used to place fence on all four sides of the rectangle. Your task is to write the area that can be enclosed as a function of the width, w, of the rectangle.


Area equation:


What is the domain for this function (what values do you expect the width to fall between)?

Answers

Answer 1

Answer:

Step-by-step explanation:

Given that:

the perimeter of the fencing (rectangle)  = 200

Let recall that the area equation of a rectangle = L × w

The perimeter now = 2(L + w)

The perimeter = 2L + 2w

200 = 2L +2w

Dividing both sides by 2

100 = L + w

Making Length L the subject; we have:

- L = -100 + w

L = 100 - w

Thus;

A(w) = (100 - w) w

and the domain of the function is (0,100)


Related Questions

Sarah plans to sell decorative signs at an upcoming craft market. If it costs her $3.50 to make each sign, and she paid a one-time fee of $185 to rent a booth at the market. If Sarah sells each sign for $15.75, how many signs will she need to sell for her expenses to be no more than her earnings?

Answers

Answer:

I need that answer too

Step-by-step explanation:

Please help (word problem)

Answers

Answer:[tex]2s^{2} +11s+15[/tex]

Step-by-step explanation:

lenght of the pool = 2s+5

width of the pool= s+3

Area= [tex]l*w[/tex]

Just substitute the l and w

Area= [tex](2s+5)(s+3)[/tex]

=[tex]2s^{2}+5s+6s+15[/tex]

=[tex]2s^{2} +11s+15[/tex]

Why is it useful to write a ratio of fractions as a unit rate?

Answers

Answer:

When a ratio is written in fraction form, the fraction should be simplified. If it is an improper fraction, we do not change it to a mixed number. Because a ratio compares two quantities, we would leave a ratio as 41 instead of simplifying it to 4 so that we can see the two parts of the ratio.

(6n-7)+(8n+2)=23 HELP FAST PLEASE

Answers

Answer:

n=2

Step-by-step explanation:

(6n-7)+(8n+2)=23

14n-5=23

14n=28

n=2

Help...giving 20 points (number 3 nothing else)

Answers

Answer:

see below

Step-by-step explanation:

[tex](\frac{7}{2} )^{4} =\frac{7^4}{2^4}=\frac{2401}{16}[/tex]

[tex](7*2^3)^3=7^3*2^{3*3}=343*2^9=343*512=175616[/tex]

[tex](7^2)(7^2)=7^{2+2}=7^{4}=2401[/tex]

[tex](7^2)(7)^0=7^{2+0}=7^2=49[/tex]

[tex](\frac{7}{2}) ^{-4}=\frac{7^{-4}}{2^{-4}}=\frac{2^{4}}{7^4} =\frac{16}{2401}[/tex]

[tex]\frac{7^6}{7^3} =7^{6-3}=7^{3}=343[/tex]

i don't know if you need all the numbers if you don't copy till when it has the exponents

Use cylindrical coordinates to evaluate the triple integral ∭ where E is the solid bounded by the circular paraboloid z = 9 - 16(x^2 + y^2) and the xy -plane.

Answers

Answer:

[tex]\mathbf{\iiint_E E \sqrt{x^2+y^2} \ dV =\dfrac{81 \ \pi}{80}}[/tex]

Step-by-step explanation:

The Cylindrical coordinates are:

x = rcosθ, y = rsinθ and z = z

From the question, on the xy-plane;

[tex]9 -16 (x^2 + y^2) = 0 \\ \\ 16 (x^2 + y^2) = 9 \\ \\ x^2+y^2 = \dfrac{9}{16}[/tex]

[tex]x^2+y^2 = (\dfrac{3}{4})^2[/tex]

where:

0 ≤ r ≤ [tex]\dfrac{3}{4}[/tex] and 0 ≤ θ ≤ 2π

[tex]\iiint_E E \sqrt{x^2+y^2} \ dV = \int^{2 \pi}_{0} \int ^{\dfrac{3}{4}}_{0} \int ^{9-16r^2}_{0} \ r \times rdzdrd \theta[/tex]

[tex]\iiint_E E \sqrt{x^2+y^2} \ dV = \int^{2 \pi}_{0} \int ^{\dfrac{3}{4}}_{0} r^2 z|^{z= 9-16r^2}_{z=0} \ \ \ drd \theta[/tex]

[tex]\iiint_E E \sqrt{x^2+y^2} \ dV = \int^{2 \pi}_{0} \int ^{\dfrac{3}{4}}_{0} r^2 ( 9-16r^2}) \ drd \theta[/tex]

[tex]\iiint_E E \sqrt{x^2+y^2} \ dV = \int^{2 \pi}_{0} \int ^{\dfrac{3}{4}}_{0} ( 9r^2-16r^4}) \ drd \theta[/tex]

[tex]\iiint_E E \sqrt{x^2+y^2} \ dV = \int^{2 \pi}_{0} ( \dfrac{9r^3}{3}-\dfrac{16r^5}{5}})|^{\dfrac{3}{4}}_{0} \ drd \theta[/tex]

[tex]\iiint_E E \sqrt{x^2+y^2} \ dV = \int^{2 \pi}_{0} ( 3r^3}-\dfrac{16r^5}{5}})|^{\dfrac{3}{4}}_{0} \ drd \theta[/tex]

[tex]\iiint_E E \sqrt{x^2+y^2} \ dV = \int^{2 \pi}_{0} ( 3(\dfrac{3}{4})^3}-\dfrac{16(\dfrac{3}{4})^5}{5}}) d \theta[/tex]

[tex]\iiint_E E \sqrt{x^2+y^2} \ dV =( 3(\dfrac{3}{4})^3}-\dfrac{16(\dfrac{3}{4})^5}{5}}) \theta |^{2 \pi}_{0}[/tex]

[tex]\iiint_E E \sqrt{x^2+y^2} \ dV =( 3(\dfrac{3}{4})^3}-\dfrac{16(\dfrac{3}{4})^5}{5}})2 \pi[/tex]

[tex]\iiint_E E \sqrt{x^2+y^2} \ dV =(\dfrac{81}{64}}-\dfrac{243}{320}})2 \pi[/tex]

[tex]\iiint_E E \sqrt{x^2+y^2} \ dV =(\dfrac{81}{160}})2 \pi[/tex]

[tex]\mathbf{\iiint_E E \sqrt{x^2+y^2} \ dV =\dfrac{81 \ \pi}{80}}[/tex]

Find |-22| =
Pls show your work

Answers

Answer:

I think it's 22

Step-by-step explanation:

because it's inverse operations all you do is remove the negative and the barackets

How many chirps can you expect a cricket to make in 1 min when the outside temperature is 50 ° F ? ( it’s not 75)

Answers

F = n/4 + 37, for F = 50

50 = n/4 + 37

Subtract 37 from both sides

13 = n/4

Multiply both sides by 4

52 = n

Brian is planning to donate 13% of his income to charity. His weekly paycheck is $667.63. How much does Brian plan to donate?

Answers

86.79 i used the calculator

Answer:

Brian is planning on donating $86.79.

Step-by-step explanation:

The first step is to write 13% in decimal form. We then multiply, .13 x 667.63=$86.79

Find the sum. 4.88 + 1.6 *​

Answers

I think you can look this up on google and it’s the first to pop up not sure

Answer:

6.48

Step-by-step explanation:

Start with:

 [tex]4.88[/tex]

+ [tex]1.6[/tex]

I could understand why you may be confused, so one trick is to add a [tex]0[/tex] next to the [tex]6.[/tex]

Rewrite:

 [tex]4.88[/tex]

+ [tex]1.60[/tex]

Add.

[tex]6.48[/tex]

Which statement about speed and/or velocity is true? an airplane was at 34500 feet in the air before it descents the airplane descends at a rate of 1725 feet/minute how long does it take for the plane to touch down on the air strip

Answers

Answer:

ndjdjd sjsjns sjsjns snsjsbs sbnb hi x xnxnxx bz

Step-by-step explanation:

d

I need help with this geometry question​

Answers

Answer:

Angle [tex]AEC=80[/tex]°

Step-by-step explanation:

Solve
3(4- 2)
2.
Select the correct choice below an

Answers

Answer:

6

Step-by-step explanation:

3(4-2) distribute 3

12-6

6

always follow PEMDAS! (please look it up if you don’t know what it means )

PEMDAS states we should do parentheses first, so 4-2 equals 2!

Next, we need to multiply. 2 times 3 equals 6. The answer is 6!

hope this helps!!

Look at the factorization below. Which of the following would be a factor of 144? 144 = 3 × 4× 3× 4 a. 7 b.27 c.32 d.48

Answers

Answer:

Step-by-step explanation:

d) 48 is a factor of 144 as 48 multiplied by 3=144

The factor of the given number 144 is 48 and this can be determined by using the definition of the factors.

Given :

Number  --  144

The following steps can be used in order to determine the factors of the given number 144:

Step 1 - Equate the given number with any variable 'x'.

[tex]x = 144[/tex]

Step 2 - Number which is multiplied to another to get the final number is known as factors.

Step 3 - So, the factors of the given number 144 is:

[tex]144=48\times 3[/tex]

Therefore, the correct option is d).

For more information, refer to the link given below:

https://brainly.com/question/6810544

Which statement is NOT true? Select all that apply 4.913 is less than 4.931 8.001 is greater than 8.002 5.63 is equal to 5.630 7.831 is less than 7.809 10 5 is equal to 100,000

Answers

8.001 is actually LESS than 8.002.

and

7.831 is GREATER than 7.809.

How do you solve 3(2×+5)-(4×_9)

Answers

Answer: 3(2×+5)-(4×9) = -15

Step-by-step explanation:

Use the graph to estimate the x- and y-intercepts.

Answers

Answer:

x- intercept is 6 y- intercept is -18

Step-by-step explanation:

Just use the graph, this graph is hard to get the answer but you just have to estimate.

Use the Distributive Property to multiply 9 and 37 in your head.

What is the answer?

Answers

Answer:

The answer is 333.

Step-by-step explanation:

Using the distributive property, you can do:

9 x 30 = 270

9 x 7 = 63

270 + 63 = 233.

Then, just check with a calculator. It's correct.

Hope this helps!

Answer: 333

Step-by-step explanation:

9x(30+7) = (9x30) + (9x7)

270+63=333

pls help it’s due today

Answers

Answer:

ion know

Step-by-step explanation:

Explain howto use friendly percents to find 35% of 80

Answers

Answer:

28

Step-by-step explanation:

35% × 80 =

(35 ÷ 100) × 80 =

(35 × 80) ÷ 100 =

2,800 ÷ 100 =

28

I hope this helps :)

Answer:

You would have to add two different percents to get to 35. You would need to add 25% and 10%. So, I would divided 80 by 4, which gets me 20, and divided 80 by 10, which gets me 8. If you add 20 and 8 together, that gets you 28. Your answer is 28.

Not sample answer, but correct

can someone help me ​

Answers

Answer:

measure k is also 50 degrees

The set of values that makes an equation true is called

Answers

Answer:

Step-by-step explanation:

A solution is any value of a variable that makes the specified equation true. A solution set is the set of all variables that makes the equation true. The solution set of 2y + 6 = 14 is {4}, because 2(4) + 6 = 14.

Answer:

Solution

Step-by-step explanation:

To make the equation true, you need to have proof that it is correct. Therefore, a solution.

odds against a randomly chosen household having a cat if the probability of the event that a randomly chosen household has a cat is .21

Answers

Step-by-step explanation:

Odds against = failures / successes

Probability = successes / (successes + failures)

0.21 = cats / (cats + no cats)

1 / 0.21 = (cats + no cats) / cats

4.76 = 1 + (no cats / cats)

3.76 = no cats / cats

So the odds against are 3.76 to 1.  

what does ="" mean ?

Answers

PLEASE GIVE BRAINLIST

equal

quotation marks

HOPE THIS HELPED

Steve is recording the temperature of an object on Celsius and Fahrenheit scales. Relationship between the two scales is given by F = 1.8 ⋅ C. Steve will plot the Celsius readings along the y-axis and the Fahrenheit readings along the x-axis.
True or false?

Answers

Answer: FALSE

Step-by-step explanation:

How to be good at ratios

Answers

Answer:to be good at ratios you must simply look at the numbers and count them in the order that the question asks for

Step-by-step explanation:example 4:2 :::: ;; there are 4 : and 2 ;

Which best describes the dimensions of a plane?
A plane has zero dimensions because it represents a location on the coordinate plane.
A plane has one dimension because it is made up of an infinite number of points.
A plane has two dimensions because it is a flat surface that has length and width but no depth.
A plane has three dimensions because it is made up of exactly three noncollinear points.

Answers

Answer: C) 2 dimensions; flat surface of length and width, but no depth

One way to think of a plane is to think of a flat sheet of paper that extends infinitely in all directions. The paper must be kept flat without any bends.

The statement that describes the dimensions of a plane is (c) a plane has two dimensions because it is a flat surface that has length and width but no depth.

To understand what a plane is, take a look at a flat surface such that:

PaperTop of a tableA white or black boardEtc.

Notice that the above surfaces have just two dimensions (horizontal and vertical).

This is so because they are flat surfaces, and they have no heights

Hence, the statement that describes the dimensions of a plane is (c)

Read more about planes at:

https://brainly.com/question/13459927

State the name of the property illustrated. (x + 7) + [-(x + 7)] = 0

Answers

Answer:

addittional property

Step-by-step explanation:

1. -x divided by 11
2. z multiplied by - 5
working pls

Answers

Answer:

1. [tex]-x \div 11 = \frac{-1}{11}x[/tex]

2. [tex]z \times -5 = -5x[/tex]

Hope this helped you!

If two opposite sides of a square are increased by 8 meters and the other sides are decreased by 5 meters, the area of the rectangle that is formed is 68 square meters. Find the area of the original square.

Answers

Answer:

21

Step-by-step explanation:

8 * 2 = 16

5 * 2 = 10

68 - 16 = 52 - 10 = 42.

The perimeter of the square is 42.

42 / 4 = 10.5. 10.5 is the length of a side.

10.5 * 2 = 21.

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