Katrina buys a 76-ft roll of fencing to make a rectangular play area for her dogs. Use
2({+w) = 76 to write a function for the length, given the width. Graph the function.
What is a reasonable domain for the situation? Explain.

Answers

Answer 1

Therefore , As a result 5, 10, and 15 make up the reasonable domain for the function 2 (l + w) = 64..

The definition of function

A connection between a group of sources and one output for each input is referred to as a function. A function is, to put it simply, a collection of equation  connected to a single, unique output. In mathematics, a function is a statement, rule, or law that describes the connection between two variables (the dependent variable). One input leads to one output when a rule of this type is used. by Alex Federspiel, the photographer. This statement gives an example of y=x2. There is just one output for y from any input for x. According to our definition, y is a function of x since x is the input value.

Here,

We have the following for the rectangle's perimeter:

2 ( l + w ) = 64

Here,

W = width, and L = length.

We must determine the length and breadth values necessary to make the rectangle's perimeter 64.

Now,

2 ( l + w ) = 64

l + w = 32

Thus, the sum of the length and breadth measurements must equal 32.

The possible widths are 5, 10, 15, 20, and 25.

Now,

l + 5 = 32

l = 27

l + 10 = 32

l = 22

l + 15 = 32

l = 17

l + 20 = 32

l = 12

l + 25 = 32

l = 7

We think about

The domain has widths of 5, 10, 15, 20, and 25.

The range for length is: 27, 22, 17, 12, and 7.

Values for width and length are used as the x- and y-axes, respectively.

Below is a graph of the data.

The following is the reasonable domain for the aforementioned situation:

5, 10, 15, 20, and 25

Below is a graph of the function 2 (l + w) = 64.

Therefore , As a result, 5, 10, and 15 make up the reasonable domain for the function 2 (l + w) = 64.

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Related Questions

Elise randomly surveyed students at her school to find out their favorite music. the table shows the results if Elise’s survey. if there are 400 students at Elise’s school, how many can she predict will like pop the best?

Answers

Answer:

125 students

Step-by-step explanation:

according to this survey, she surveyed 80 people, and of the 80 people she surveyed, 25 of them said they like pop best

set up a proportion to find how many students will like pop if there are 400 students at her school:

25/80=x/400

80x=10000

x=125

125 students

For each order, the web site applies a 7.7% sales tax to the price of the cards, plus a one time mailing fee of 5.95. Based on the information in the table, what will be the total cost for an order for 280 cards?

Answers

Answer: $1794.28

Step-by-step explanation:

280*5.95= 1666

0.077*1666= 128.282

1666+128.282= 1794.282

We round cause its money

2(3х + 9) what the answer plz help​

Answers

Answer:

6x + 18

Step-by-step explanation:

2(3х + 9)

6x + 18

2 * 3x = 6x

2 * 9 = 18

I NEED HELP. PLS ANSWER IF YOU KNOW HOW TO SOLVE COMPOSITE FIGURES!​

Answers

I know how. I’ll try to help you. :D

pleaseee help with these questions

Answers

Answer:

3. 56.8 inches

4. 314.2 yards

5. 1809.6 meters

6. 265 centimeters

Translate the following written expression into an algebraic expression:
"The difference of y and 5, divided by 2"

Answers

Answer:

(y-5) ÷ 2

Step-by-step explanation:

5. Find the value of side x and y. Leave answers in simplest radical form a applicable.

Answers

Therefore , as a result, x = 53 and y = 10 are the answers to the trigonometry problem that was presented.

What is trigonometry?

Trigonometry is the discipline of mathematics that studies correlations between angles and sides of triangles. Trigonometry is present in all of geometry because every ahead and move form may indeed be resolved to a set of triangles. Amazingly intricate connections exist between geometry and other areas of mathematics, particularly arithmetic, real or abstract, infinite series, arithmetic, and infinite series.

Here,

Sin 30 = Opposing Side/High

1/2 = 5 / y

y = 5 / (1/2)

y = 10

Cos 30 = Adjustment Side/ Hyp

√3/2 = x/y

√3/2 = x/10

x = 10√3 / 2

x = 5√3

In light of this, the given fractional problem's answer is

x = 5√3 and y = 10.

Therefore , as a result, x = 53 and y = 10 are the answers to the trigonometry problem that was presented.

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PLEASE TRY YOUR BEST ON THESE
I could really use the help on these questions
Please give me a good answer:)
15 points

Answers

Answer:

hey i can help if you want it

Step-by-step explanation:

A closet is is 5 feet wide, 3 feet long, and 6 feet tall. A box with dimensions 2 ft × 3 ft × 2 ft is inside the closet.

How much space in cubic feet is left inside the closet around the box?

Enter your answer in the box.

ft³

Answers

Answer:

78 cm³ of space is left inside the closet.

Step-by-step explanation:

Given that,

A closet is is 5 feet wide, 3 feet long, and 6 feet tall. A box with dimensions 2 ft × 3 ft × 2 ft is inside the closet.

We need to find the space is left inside the closet around the box.

Space left = volume of the closet - volume of the box

= 5×3×6 - 2×3×2

= 90 - 12

= 78 cm³

So, 78 cm³ of space is left inside the closet.

multiply 5/12 and the multiplicative inverse of -1/4​

Answers

Answer:

The answer is -2

Step-by-step explanation:

Hope it helps :)

8. If 5/12.5 is equivalent to -4/2x, what is the value of x?

Answers

Answer:

-5

Step-by-step explanation:

[tex]\frac{5}{12.5} = \frac{-4}{2x}[/tex]

[tex]5 \cdot 2x = 12.5 \cdot -4[/tex]

[tex]10x = -50[/tex]

[tex]x=-5[/tex]

Using data from 50 workers, a researcher estimates Wage = β0 + β1Education + β2Experience + β3Age + ε, where Wage is the hourly wage rate and Education, Experience, and Age are the years of higher education, the years of experience, and the age of the worker, respectively. The regression results are shown in the following table.
Coefficients Standard Error t Stat p-Value
Intercept 7.45 3.79 1.97 0.0554
Education 1.06 0.37 2.86 0.0063
Experience 0.37 0.18 2.06 0.0455
Age −0.02 0.06 −0.33 0.7404
Interpret the point estimate for β1.
A. As Education increases by 1 year, Wage is predicted to increase by 1.06/hour.
B. As Education increases by 1 year, Wage is predicted to increase by 0.37/hour.
C. As Education increases by 1 year, Wage is predicted to increase by 1.06/hour, holding Age and Experience constant.
D. As Education increases by 1 year, Wage is predicted to increase by 0.37/hour, holding Age and Experience constant.

Answers

C thank me laterrrrrrrrrrrrrrrrrrr

50 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

Answers

Answer:

c = 90

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

Using the Pythagorean theorem, a^2 + b^2 = c^2

54^2 + 72^2 = 8100

c^2 = 8100

[tex]\sqrt{8100}[/tex] = 90

90 = c

A group of children played a balloon dart game at the county fair. The children took turns at the game, and the first 9 players scored

230, 540, 420, 430, 540, 560, 275, 50, 250

Joey is the 10th player, and his score is recorded with the first 9 scores after his turn. If Joey wants his score to be higher than the 70th percentile of all 10 scores, at least how many points does Joey need to score?

Answers

Joey needs to score more than 540 points, to be higher than

70th percentile of all scores.

What is percentile?

Percentile is defined as the value below which a given percentage falls under.  

Example: In a group of 20 children, Ben is the 4th tallest and 80% of the children are shorter than you. Hence, it means that Ben is at the 80th percentile.

The percentile formula determines the performance of a person over others. The percentile formula is used in finding where a student stands in the test compared to other candidates. A percentile is a number where a certain percentage of scores fall below the given number.

Given,

Scores of first 9 players:

230, 540, 420, 430, 540, 560, 275, 50, 250

let the score of joey be x.

Scores of all 10 players

230, 540, 420, 430, 540, 560, 275, 50, 250

Dataset in ascending order =

50, 230, 250, 275, 420, 430, 540, 540, 560

70th percentile of the dataset

k = 70

i = the index

n = total number of given data values = 10

i = k/100(n+1)

i = 70/100 (9+1)

i = 70 × 10/100

i = 7

The index of 70th percentile = 7

value of 70th percentile = value of data on index 7.

value of 70th percentile = 540.

Hence, To be higher than 70th percentile of all scores,

Joey should score more than 540.

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Multiply the two fractions (1/2)(2/5). Simplify your answer.

A.2/7
B.1/5
C.20/100
D.2/10

Answers

Answer:

b

Step-by-step explanation:

Does anunify know this ?Simplify and round the answer to the nearest hundreths place

Answers

The simplified form of the expression [tex]\sqrt[5]{1215}[/tex] is [tex]3\sqrt[5]{5}[/tex].

What are surds and indices?

We know there are two types of radicals one is surds when the number has been raised by such power that it is greater than zero and less than one,

The other type of radicals are indices where a number is raised to such power that is greater than one.

Given, A radical [tex]\sqrt[5]{1215}[/tex].

Now we'll prime factor 1215.

= [tex]\sqrt[5]{5\times243}[/tex]

= [tex]\sqrt[5]{5\times3\times81}[/tex].

= [tex]\sqrt[5]{5\times3\times3\times3\times3\times3}[/tex].

= [tex]3\sqrt[5]{5}[/tex].

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10. Find the range, mean, median, and mode of the following data set. 15, 22, 14, 3, 11, 9, 3 a. Range 19 Mean 11 Median 3 Mode 3 c. Range 21 Mean 11 Median 11 Mode 14 b. Range 19 Mean 11 Median 11 Mode 3 I d. Range 19 Mean 111 Median 10.5 Mode 3​

Answers

Answer:

Range: 19

Mean: 11

Median: 11

Mode: 3

Examine the rotation. Which best describes point D?

Answers

We can’t see the rotation
Where is the picture?

i need to solve this so can you pls hlp

Answers

Answer: D

Step-by-step explanation: x is a variable, and so is the number of tractors he sells. he is going to get paid $1000 for sure each month.

So 150x(the number of tractors) + 1000(his pay each month)

Tell whether the angles are adjacent or vertical. Then find the value of x.

Answers

Answer is vertical and 128 degrees

Step by step

Vertical angles are opposite each other.
Vertical angles are congruent, or the same

lol sorry im being supperrrrrr lazy rn

Answers

I think it’s 7 because 7 x 7 equals 49 which is the area

help with explanation if possible​

Answers

448sqft should be the answer because you multiply them

Answer: 448

Step-by-step explanation: Parallelogram formula base times height

Getting a sum of either 5, 11, or 12 on a roll of two dice.

Can someone please explain what I need to do in order to go about solving this problem? ​

Answers

9514 1404 393

Answer:

  7/36

Step-by-step explanation:

It can be helpful to make a chart similar to the attached that lists all 36 possible outcomes from the roll of two dice.

You can see there are 4 ways to roll a sum of 5. There are 2 ways to roll a sum of 11, and 1 way to roll a sum of 12.

Getting a sum of 5, 11, or 12 on a roll of 2 dice can be achieved 4+2+1=7 of the 36 ways the dice can fall.

  P(5, 11, or 12) = 7/36

Solve for x. 6x−24=x−2

OPTIONS:

Enter answer in the box!

X = [?]

Answers

Answer:

point A

Step-by-step explanation:

1st Step. Add 24 to both sides
6x - 24 = X - 2

6x - 24 + 24 = X - 2 +24

2nd Step. Simplify

• Add the numbers
• Add the numbers
*6x = x + 22

3rd Step. Subtract X from both sides

6x = x + 22
6x - x = x + 22-x

Finally

X = 22/5

What is m∠4 + m∠5 + m∠6?

180
270
300
360

Answers

Answer:360°

Step-by-step explanation:

Answer: D:360

Step-by-step explanation:

The solution set of 12 x squared minus 14 x equals 10 is

Answers

The given quadratic equation has two possible roots as -

{x} = -1/2 and {x} = 1.667.

What is a quadratic equation?

A quadratic equation is a equation that is of the form -

y = f{x} = ax² + bx + c

Given is the statement as -

"12 x squared minus 14 x equals 10"

The given function can be written as -

f(x) = 12x² - 14x - 10

Refer to the graph attached. The x - intercepts show the solution of the given quadratic equation. So, we can write -

(x + 1/2)(x - 1.667) = 0

(x + 1/2) = 0     and     (x - 1.667) = 0

x = -1/2     and      x = 1.667

Therefore, the given quadratic equation has two possible roots as -

{x} = -1/2 and {x} = 1.667.

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Which of the following is equivalent to
36
?
O _18
-6
1
18
1
6

Answers

Answer: 1/6

Step-by-step explanation: It was the first question on my quiz, hope it helped:)

The equivalent value of the expression [tex]36^{-(\frac{1}{2})[/tex] is, 1/6.

What are some rules of exponents?

Some common rules of exponents are

xᵃ×xᵇ = xᵃ⁺ᵇ.

xᵃ/xᵇ = xᵃ⁻ᵇ.

Addition and subtraction of exponents are only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.

Given, An expression [tex]36^{-(\frac{1}{2})[/tex].

We know, 6×6 = 36 = 6².

Therefore, [tex]36^{-(\frac{1}{2})} = (6^2)^{-(\frac{1}{2})[/tex].

[tex](6^2)^{-(\frac{1}{2})} = (6)^{2\times{-(\frac{1}{2})[/tex].

= 6⁻¹.

= 1/6.

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Write three ratios that are equivalent to 75% and three
ratios that are equivalent to 100%.

Answers

The three ratios that are equivalent to 75% are 75/100, 15/20 and 3/4  and the three ratios that are equivalent to 100% are 100/100, 20/20, and 4/4.

What is ratio?

A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a bowl of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. The ratio of oranges to the total amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8.

First we have to write the equivalent ratios for 75%.

Since, 75% can be written as,

75/100

Simplifying this, 15/20

Again simplifying this, 3/4

Hence, the three ratios that are equivalent to 75% are 75/100, 15/20 and 3/4.

Now to write the equivalent ratios for 100%.

Since, 100% can be written as,

100/100

Simplifying this, 20/20

Again simplifying this, 4/4

Hence, the three ratios that are equivalent to 100% are 100/100, 20/20, and 4/4.

Therefore,  the three ratios that are equivalent to 75% are 75/100, 15/20 and 3/4  and the three ratios that are equivalent to 100% are 100/100, 20/20, and 4/4.

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A chef makes small and large snacks to sell at a local art show. He cannot make more than 30
snacks before the show, with no more than 6 large snacks. The chef must make at least 10 small snacks to
earn a profit.
Part A
Let x represent the number of small snacks and y represent the number of large snacks. Given x ≥ 0 and
y 20, select all the inequalities that represent the situation.
0 x≤6
O y ≥ 10
Ox+y≤ 30
O 10x+6y≤ 30
0y≤6
0 x ≥ 10
-01:25

Answers

the inequalities that represent the situation are,

Ox+y≤ 30

0y≤6

0 x ≥ 10

What is inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

Here, given that,

A chef makes small and large snacks to sell at a local art show.

He cannot make more than 30

snacks before the show, with no more than 6 large snacks.

The chef must make at least 10 small snacks to earn a profit.

Let,

x represent the number of small snacks

and y represent the number of large snacks.

Given x ≥ 0 and y 20

So, we get,

the inequalities that represent the situation are,

Ox+y≤ 30

0y≤6

0 x ≥ 10

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The height of a rock climbing wall is 137 feet. How many feet has Sara climbed when she is
48 from the top of the wall?

Answers

Answer:

137 - 48 = 89, so she climbed 89

Step-by-step explanation:

89 feet

137-48=89
Your welcome :)
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