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An Edgeworth box is used to represent the initial allocation of goods between David and Wilson based on their endowments of onion rings and chips.

An Edgeworth box is a graphical representation used to analyze the allocation of goods between two individuals.

In this case, we consider David and Wilson's initial endowments of onion rings and chips.

To draw the Edgeworth box, we create a rectangular box where the horizontal axis represents the quantity of onion rings (q1) and the vertical axis represents the quantity of chips (q2). The box is divided into four quadrants, representing the allocation of goods to each individual.

Based on their initial endowments, David has 35 onion rings and 10 chips, while Wilson has 5 onion rings and 20 chips.

We label the initial allocation of goods as point "e" within the Edgeworth box, indicating the quantities of onion rings and chips for each person.

By visually representing the initial allocation in the Edgeworth box, we can analyze the potential for trade and the possibility of mutually beneficial exchanges between David and Wilson based on their preferences and utility functions.

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Answer:

Y = -6X - 15

Step-by-step explanation:

-3 = -6(-2) + B

-3 = 12 + B

B= -15

Answer:

You didn't attach the options, but y = - 6x - 15

Step-by-step explanation:

Using the equation y = mx + b, you can plug in values that you have to solve for b, the y intercept. Since m is the slope and the slope is - 6, and you have a y and x value, you can write the equation as follows:

-3 = - 6 * -2 + b

Then solve for b

-3 = 12 + b

-15 = b

Then you rewrite the original formula with the values of m and b:

y = - 6x - 15

According to unitary method, the best estimate for the alligator population is around 302 alligators.

In this particular case, a television channel put tags on 58 alligators and released them. Later, they caught 260 alligators, and among those, 50 were tagged.

To answer this question, we can use the mark and recapture formula, which is:

N = (M x n) / R

Where:

N = population size

M = number of individuals in the first sample (marked individuals)

n = total population size

R = number of marked individuals recaptured in the second sample

In this case, we have:

M = 58

n = unknown

R = 50

Substituting these values into the formula, we get:

n = (M x R) / r

n = (58 * 260) / 50

n ≈ 302.4

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The solution of the system of equation y = 2x - 5 y = -4x + 1 is (1, -3).

The system of equation can be solved using different method such as elimination method, substitution method and graphical method.

Let's solve the system of equation using substitution method.

Therefore,

y = 2x - 5

y = -4x + 1

Hence,

-4x + 1 = 2x - 5

-4x - 2x = -5 - 1

-6x = -6

divide both sides by -6

x = -6 / -6

x = 1

Let's find y.

y = -4x + 1

y = -4(1) + 1

y = -4 + 1

y = -3

Therefore, the solution is (1, -3)

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Answer:

\(AP = \frac{1}{2} AB \\ AB = 2AP\)

Answer:

greater for the data set 1.

Answer:

3

Step-by-step explanation: there is 3 lolllllllllllllllllllllllllllllllllllllll

4-Chloroaniline has three equivalent carbon atoms.

The molecular formula of 4-Chloroaniline is C6H6ClN. In this compound, there are six carbon atoms.
However, three of these carbon atoms are part of the benzene ring, which is a highly symmetrical structure.
In a benzene ring, all carbon atoms are considered equivalent since they have the same bonding environment and hybridization.

The fourth carbon atom is the one directly bonded to the chlorine atom (-Cl). This carbon atom is also equivalent to the other two carbon atoms in the benzene ring.
Therefore, there are three equivalent carbon atoms in 4-Chloroaniline.

In summary, 4-Chloroaniline has three equivalent carbon atoms, including the carbon atom directly bonded to the chlorine atom and two carbon atoms in the benzene ring.
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21/4=12\7:x

21 se simplifică  cu  7 și o să ne dea 3

și 1

12 se simplifică cu 4 și o să ne dea

3 și 1

3\1=3\1:x

x=3x3

x=9

Answer:

x = 0.327

Step-by-step explanation:

\(\frac{21}{4}\) = \(\frac{12}{7}\) ÷ x

\(\frac{21}{4}\) = \(\frac{12}{7}\) × \(\frac{1}{x}\)

\(\frac{21}{4}\) = \(\frac{12}{7x}\)

\(\frac{21}{4}\) x 7x = 12

\(\frac{147x}{4}\) = 12

147x = 12 x 4

x = 48 ÷ 147

x = 0.327

Answer:

It is C

Step-by-step explanation: The explanation says that he subtracted 10 by 20 and divided by 5 so the real answer is 18 but the answer in your page is C

Your Welcome :)

The solution to the system of equations is:
x = -2, y = -3, z = 4.

To solve this system of equations using Gaussian or Gauss-Jordan elimination, we will first rewrite the equations in augmented matrix form:

| -2  1  2 | 9 |
|  0 -2 -3 | -2 |
|  0 -1  2 | -1 |

We will use elementary row operations to transform the augmented matrix into row echelon form:

1. Add 1 times row 1 to row 2:
| -2  1  2 |  9 |
|  0 -1  1 |  7 |
|  0 -1  2 | -1 |

2. Add 1 times row 1 to row 3:
| -2  1  2 |  9 |
|  0 -1  1 |  7 |
|  0  0  4 | 16 |

3. Divide row 3 by 4:
| -2  1  2 |  9 |
|  0 -1  1 |  7 |
|  0  0  1 |  4 |

4. Add -2 times row 3 to row 1:
| -2  1  0 |  1 |
|  0 -1  1 |  7 |
|  0  0  1 |  4 |

5. Add -1 times row 3 to row 2:
| -2  1  0 |  1 |
|  0 -1  0 |  3 |
|  0  0  1 |  4 |

6. Add 1 times row 2 to row 1:
| -2  0  0 |  4 |
|  0 -1  0 |  3 |
|  0  0  1 |  4 |

The resulting row echelon form shows that the system of equations has a unique solution. We can now use back substitution to solve for the variables:

- z = 4
- -y = 3, so y = -3
- -2x = 4, so x = -2

Therefore, the solution to the system of equations is:

x = -2, y = -3, z = 4.

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Angelica would earn approximately $10.21 more in 5 years with Bank 1 compared to Bank 2. Angelica's earnings with Bank 1 would amount to around $510.21, whereas with Bank 2, she would earn $500. The difference between the two amounts is $10.21.

By using the compound interest formula A = P(1 + r)^n, where P is the principal amount ($500), r is the annual interest rate (2.3%), and n is the number of years (5), we can calculate the total amount Angelica would earn with Bank 1. Plugging in the values, we find A = 500(1 + 0.023)^5 ≈ $510.21.

On the other hand, Bank 2 offers simple interest, which means the interest earned is based only on the initial investment of $500 and does not accumulate over time. With a simple interest rate of 2%, Angelica would earn $500 * 0.02 * 5 = $50 over the 5-year period.

The difference between the earnings from Bank 1 and Bank 2 is $510.21 - $500 = $10.21. Thus, Angelica would earn approximately $10.21 more by choosing Bank 1 for her investment over the 5-year term.

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Answer:

6.128054

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

We know that the line which is tangent at a point on a circle is perpendicular to the line joining the center of the circle and that point.

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The prime factorization of 64 :

64 divided by 2 = 32

32 divided by 2 = 16

16 divided by 2 = 8

8 divided by 2 = 4

4 divided by 2 = 2

2 divided by 2 = 1

So,

64 = 2 x 2 x 2 x 2 x 2 x 2

If you draw a tiny circle with a 90-degree sector, it is not a dilation of the original circle because a dilation is a transformation that changes the size of an object while preserving its shape.

In a dilation, all corresponding points in the original and the transformed shapes lie on a line passing through the center of dilation, and the scale factor of the dilation determines the ratio of the corresponding lengths of any two segments that join corresponding points.

In the case of the tiny circle with a 90-degree sector, the sector has a different shape than the original circle, and the sector has a larger perimeter than the corresponding arc of the original circle. Therefore, the sector is not a dilation of the original circle.

Furthermore, a 90-degree sector of a circle can be obtained by cutting a part of the original circle and thus cannot be obtained by dilation alone.

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Answer:

Dr. Maette

Step-by-step explanation:

I'm not sure I've never read this :/

The value of x is 5.

The value of y is 40°.

It is a two dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

A composite figure that has three triangles.

Two equilateral triangles.

One isosceles triangle.

We see that,

Both equilateral triangles have the same sides and the same angles.

5x - 1 = 24

5x = 24 + 1

5x = 25

x = 5

We see that,

Let the opposite angle of 6y° = m

6y° + 60 + 60 + m = 360

6y + 120 = 360

6y = 360 - 120

6y = 240

y = 40°

Thus,

x = 5 and y = 40°

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Answer:

x=9, x=-9

Step-by-step explanation:

subtract 3 from both sides

x^2=81

then squareroot both sides (remember that there is a positive and negative solution!)

x=9, x=-9

Answer:

x = -9

x = 9

Step-by-step explanation:

\(x^{2} + 3 = 84\)

Subtract 84 from both sides.

\(x^{2} + 3 - 84 = 0\)

Subtract 84 from 3 to get −81.

\(x^{2} - 81 = 0\)

Consider \(x^{2}\) - 81. Rewrite \(x^{2} - 81\) as \(x^{2} - 9^{2}\). The difference of squares can be factored in using the rule: \(a^{2} - b^{2} = ( a- b) ( a+ b)\).

\((x - 9) (x + 9) = 0\)

To find equation solutions, solve \(x - 9 = 0\) and \(x + 9 = 0\)

x = 9

x = -9

Hope it helps and have a great day! =D

~sunshine~

Total distance of the triathlon race is 23.34 kilometers.

Reg enters a triathlon race. He swims 1.25 kilometers, bikes 20.5 kilometers, and runs 1.59 kilometers.

The total distance of the race is 23.34 kilometers.

Reg enters a triathlon race.

He swims 1.25 kilometers, bikes 20.5 kilometers, and runs 1.59 kilometers.

In order to calculate the total distance of the race, we need to find the sum of the distance Reg swam, biked and ran. Therefore, Total distance = Distance swam + Distance biked + Distance ranTotal distance = 1.25 + 20.5 + 1.59 km

Total distance = 23.34 km.

The summary of this problem is that the total distance of the triathlon race is 23.34 kilometers.

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Answer:

The drama club bought 35 t-shirt

Step-by-step explanation:

Let

t-shirt = x

Sweatshirt = y

Total cost = $795

They purchase 20 more tshirts than sweatshirts

x = y + 20

The equation is:

12x + 25y = 795

12(y + 20) + 25y = 795

12y + 240 + 25y = 795

37y = 795 - 240

37y = 555

y = 15

Substitute y = 15 into

x = y + 20

x = 15 + 20

x = 35

t-shirt = 35

Sweatshirt = 15

The drama club bought 35 t-shirt

Step-by-step explanation:

3.725290298e19

The profit from selling garlands is higher than the profit from manufacturing wreaths. FN should focus on selling garlands instead of wreaths.

To compare the profitability of manufacturing wreaths and garlands, we need to calculate the profit for each product.

Profit from manufacturing wreaths:

Revenue from selling 1,200 wreaths = 1,200 x $600 = $720,000

Total cost of making 1,200 wreaths = 1,200 x $465 = $558,000

Profit from selling 1,200 wreaths = $720,000 - $558,000 = $162,000

Profit from selling garlands:

Revenue from selling 1,400 garlands = 1,400 x $440 = $616,000

Total cost of making 1,400 garlands = $315 + (1,400 x $315) = $441,315

Profit from selling 1,400 garlands = $616,000 - $441,315 = $174,685

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Answer:

a)

For blue: 33 1/5 miles per gallon

For red : 28 miles per gallon

b) Blue car

Step-by-step explanation:

You are running a fuel economy study.

The unit rate for miles per gallon for each car?

For Blue

It can travel 41 1/2 miles on 1 1/4 gallons of gasoline.

1 1/4 gallons = 41 1/2 miles

1 gallons = x

x = 41 1/2 miles ÷ 1 1/4 gallons

x = 33 1/5 miles per gallon

For red

Another car is red. It can travel 22 2/5 miles on 4/5 gallon of gasoline.

4/5 gallons = 22 2/5 miles

1 gallons = x

x = 22 2/5 miles ÷ 4/5 gallons

x = 28 miles per gallon

What is Which car could travel the greater distance on 1 gallon of​ .

gasoline?

The blue car

Answer:

1.5 Miles per Week

Step-by-step explanation:

So first you can take 50% and turn it into a decimal 0.50

Then you times it by how much he ran this month

3x0.50=1.5

Therefore ,there are 158,184,000 ways to create a license plate in this system.

A selection from a group of separate items is called a combination in mathematics, and the order in which the elements are chosen is irrelevant (unlike permutations). An apple and a pear, an apple and an orange, or a pear and an orange are three combinations of two fruits that can be chosen from a set of three fruits, such as an apple, an orange, and a pear. Formally speaking, a set S's k-combination is a subset of S's k unique components. Two combinations are therefore equal if and only if they have the same elements in both combinations.

According to the counting principle, the total number of ways to obtain a license plate is calculated by multiplying the number of times each of these events might occur together.

The first number (the digits 1 through 9) can be obtained in nine different ways.

There are 26 methods to obtain the first letter. There are 26 ways to obtain the following letter (repetition is acceptable).

There are 26 methods to get the third letter, 10 ways to get the next number (zero is acceptable), and 10 ways to get the following number with repetitions.

How many ways are there to get the next number? 10 ways\s.

Thus ,total options for obtaining a license plate:

9 x 26 x 26 x 26 x 10 x 10=158184000

Therefore ,there are 158,184,000 ways to create a license plate in this system.

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The centroid of the region bounded by the curves y = 2 sin(3x), y = 2 cos(3x), x = 0, and x = 12 is approximately (x, y) = (6, 0).

To find the centroid of the region bounded by the given curves, we need to determine the x-coordinate (x-bar) and y-coordinate (y-bar) of the centroid. The x-coordinate of the centroid is given by the formula:

x-bar = (1/A) * ∫[a,b] x * f(x) dx,

where A represents the area of the region and f(x) is the difference between the upper and lower curves.

Similarly, the y-coordinate of the centroid is given by:

y-bar = (1/A) * ∫[a,b] 0.5 * [f(x)]^2 dx,

where 0.5 * [f(x)]^2 represents the squared difference between the upper and lower curves.

Integrating these formulas over the given interval [0, 12] and calculating the areas, we find that the x-coordinate (x-bar) of the centroid is equal to 6, while the y-coordinate (y-bar) evaluates to 0.

Therefore, the centroid of the region is approximately located at (x, y) = (6, 0).

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A ∩ B = {4, 10}

A ∪ B = {2, 3, 4, 5, 6, 8, 9, 10}

A' = {1, 3, 5, 7}

B' = {1, 2, 6, 7, 8, 9}

Given sets are:

A = {2, 4, 5, 8, 10}

B = {3, 4, 6, 8, 9, 10}

To find the intersection of sets A and B, we need to find the elements that are common to both sets. From the given sets, we see that 4 and 10 are the only elements that are present in both sets. Therefore, A ∩ B = {4, 10}.

To find the union of sets A and B, we need to combine all the elements from both sets without duplicating any element. From the given sets, we see that the combined set {2, 3, 4, 5, 6, 8, 9, 10} contains all the elements from sets A and B without any duplicates. Therefore, A ∪ B = {2, 3, 4, 5, 6, 8, 9, 10}.

To find the complement of set A, we need to find all the elements that are not in set A but are present in the universal set. From the given sets, we know that the universal set contains the elements {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. The elements that are not in set A are {1, 3, 7, 9}. Therefore, A' = {1, 3, 5, 7}.

To find the complement of set B, we need to find all the elements that are not in set B but are present in the universal set. From the given sets, we know that the universal set contains the elements {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. The elements that are not in set B are {1, 2, 7}. Therefore, B' = {1, 2, 6, 7, 8, 9}.

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Answer:

52 centimeters

Step-by-step explanation:

A square has 4 sides

Side of square = 13 cm

Perimeter of square = sum of all sides of square

Perimeter of square = 4 x 13 = 52 cm