For K4,5, represent an represent an adjacency matrix, and a graph representstion for the graph.

Answers

Answer 1

The adjacency matrix for the graph K4,5 will consist of two distinct sets of vertices with edges connecting every vertex from one set to every vertex in the other set.

The graph K4,5 is a complete bipartite graph with two sets of vertices, let's call them A and B. Set A contains four vertices (A1, A2, A3, A4), and set B contains five vertices (B1, B2, B3, B4, B5). In the adjacency matrix representation, the rows correspond to the vertices of set A, and the columns correspond to the vertices of set B. Therefore, the adjacency matrix will have dimensions 4x5.

To construct the adjacency matrix, we assign a value of 1 to the element at row i and column j if there is an edge between vertex Ai and vertex Bj. Since K4,5 is a complete bipartite graph, every vertex in set A is connected to every vertex in set B. Thus, all elements in the matrix will be 1.

The graph representation of K4,5 will consist of two distinct sets of vertices, A and B, with edges connecting every vertex from set A to every vertex in set B. This means that there will be a total of 20 edges in the graph. The graph can be visualized as two distinct groups of vertices, with no edges connecting vertices within the same set but with edges connecting every vertex from one set to every vertex in the other set.

In summary, the adjacency matrix for K4,5 will be a 4x5 matrix with all elements equal to 1. The graph representation will consist of two sets of vertices, A and B, with 20 edges connecting every vertex from one set to every vertex in the other set.

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Related Questions

Can someone please help!!!
Ill give brainliest!!

Answers

Answer:

please what is the exact question

Answer:

161.56 ft^2

Step-by-step explanation:

base area = (leg 1 x leg 2)/2 = (5 x 5)/2 = 25/2 = 12.5 ft^2

base perimeter = 5 + 5 + 7.07 = 17.07 ft

lateral surface = (perimeter x height) = 17.07 x 8 = 136.56 ft^2

surface area = base area x 2 + lateral surface = (12.5 x 2) + 136.56 = 161.56 ft^2

Find the value of k and x2
x^2+ 13x + k = 0, x1=-9

Answers

Given:

The quadratic equation is:

[tex]x^2+13x+k=0[/tex]

[tex]x_1=-9[/tex]

To find:

The value of k and [tex]x_1[/tex].

Solution:

We have,

[tex]x^2+13x+k=0[/tex]                ...(i)

Putting [tex]x=-9[/tex], we get

[tex](-9)^2+13(-9)+k=0[/tex]

[tex]81-117+k=0[/tex]

[tex]-36+k=0[/tex]

[tex]k=36[/tex]

Putting [tex]k=36[/tex] in (i), we get

[tex]x^2+13x+36=0[/tex]

Splitting the middle term, we get

[tex]x^2+9x+4x+36=0[/tex]

[tex]x(x+9)+4(x+9)=0[/tex]

[tex](x+9)(x+4)=0[/tex]

[tex]x=-9,-4[/tex]

Here, [tex]x_1=-9[/tex] and [tex]x_2=-4[/tex].

Therefore, the required values are [tex]k=36[/tex] and [tex]x_2=-4[/tex].

PLEASE HELP!!! I need the answer now

Answers

Answer:

(-2,3)

Step-by-step explanation:

Answer:

C. (-2,3)

Step-by-step explanation:

(-2,3)

An amusement park thrill ride swings its riders back and forth on a pendulum that spins. Suppose the swing arm of the ride is 62 feet in length, and the axis from which the arm swings is about 64 feet above the ground. What is the height of the riders above the ground at the peak of the arc? Round to the nearest foot if necessar
PLEASE HELP ​

Answers

Answer:

118ft

Step-by-step explanation:

dont ask how i got it i just got the answer from my teacher but they didnt show me the work. ur welcome

Solve the following system of equations by substitution

Answers

Answer:

(-1, 1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/CoefficientsCoordinates (x, y)Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = 2x + 3

y = x + 2

Step 2: Solve for x

Substitution

Substitute in y:                                                                                                  2x + 3 = x + 2[Subtraction Property of Equality] Subtract x on both sides:                         x + 3 = 2[Subtraction Property of Equality] Subtract 3 on both sides:                        x = -1

Step 3: Solve for y

Substitute in x [Original Equation]:                                                                  y = -1 + 2Add:                                                                                                                    y = 1

Answer:

x = -3, y = -1

Step-by-step explanation:

In order to solve an equation using substitution you need to make one of the variables values opposite of one another. For example, 4's opposite would be -4. Moving on, we multiply the bottom equation by -2. That gives us y = -2x -4. We combine like values and the remaing equation is y = -1. Finally, we can insert our value;-1 = x +2. We do inverse operations and we are left with x = -3.

How many different ways can you have 55¢ in change using only quarters, dimes and nickels?

A. 1
B. 5
C. 11
D. 15

Answers

Answer: 11 times

Step-by-step explanation:

Have a wonderful day!

C 11 times. Hope this helps

Surface areas 98 Find the shaded area. Round to the nearest tenth if necessary. 22 mm 18 mm 9 mm​

Answers

Answer:

297 sq mm

Step-by-step explanation:

Area of Rectangle: 22 x 18 = 396

Area of Triangle:  (1/2)(22)(9) = 99

Area of Rectangle - Area of Triangle = Area of Shaded area

396 - 99 = 297

brand of water-softener salt comes in bags marked "net weight 18kg". The
company that packages the salt claims that the bags contain an average of 18kg of
salt and that the standard deviation of the weight of the bag is 0.68kg. Assume that
the weight of the bags is normally distributed and unless otherwise indicated use ? =
.05.

It is given that:

μ=18

0.68

n = 10

In general, what mean weights of 10 randomly select bags would you
consider evidence against the company’s claim?

Answers

Any mean weight falling outside the interval of (17.06, 18.94) would be considered evidence against the company's claim.

μ = 18 and σ = 0.68. n = 10. The formula for the z-test is given by:

z = (x - μ) / (σ/√n)

Where:

z = z-test score

x = sample mean

μ = population mean

σ = standard deviation

n = sample size

Let's calculate the upper and lower limits by using the above formula:

Lower limit = μ - z_(α/2) * (σ / √n)

Upper limit = μ + z_(α/2) * (σ / √n)

Where z_(α/2) is the standard normal variate which can be found from the standard normal table (at 5% significance level) to be 1.96.

Therefore,

Lower limit = 18 - 1.96 * (0.68/√10) = 17.06

Upper limit = 18 + 1.96 * (0.68/√10) = 18.94

Thus, any mean weight of 10 randomly selected bags that falls outside the interval of (17.06, 18.94) would be considered evidence against the company's claim.

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Jacob distributed a survey to his fellow students asking them how many hours they'd spent playing sports in the past day. He also asked them to rate their mood on a scale from 0 to 10, with 10 being the happiest. A line was fit to the data to model the relationship.

Which of these linear equations best describes the given model?

Choose 1 answer:

5x+1.5

1.5x+5

−1.5x+5


Based on this equation, estimate the mood rating for a student that spent 2.52, point, 5 hours playing sports.

Round your answer to the nearest hundredth.

Answers

Answer:8.75

Step-by-step explanation:

Answer: it’s B

Step-by-step explanation:

Let : R² R2 given by (r,0) = (r cos(0), r sin(0)), 0≤ r ≤ R, 0≤0 ≤ 2m (this is a disk of radius R centered at (0,0)). Compute ∫ fdx .

Answers

To compute the integral ∫ fdx over the disk D of radius R centered at (0,0), we need to express the function f in terms of the given coordinate transformation.

In polar coordinates, a point (r, θ) in the disk D can be represented as (r cos(θ), r sin(θ)).

Now, let's substitute these polar coordinates into the integral. The differential element dx becomes r cos(θ)dr, and the integral becomes:

∫ fdx = ∫ f(r cos(θ), r sin(θ)) r cos(θ)dr dθ

We can now evaluate this integral by integrating over the range of r and θ. The range for r is from 0 to R, and the range for θ is from 0 to 2π (since we are integrating over the entire disk).

Thus, the integral becomes:

∫ fdx = ∫[0 to R] ∫[0 to 2π] f(r cos(θ), r sin(θ)) r cos(θ)dr dθ

By evaluating this double integral, we can find the value of ∫ fdx over the given disk D.

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Which of the following is a
representation of 11!

Answers

I’m sorry I don’t know the answer I’m just trying to get enough questions to pass my final

help please! i dont understand how i'm supposed to fill the table if i dont have all the information

Answers

Use the ticket price in the first column in the formula 400-7p to get the answer for the second column (number of tickets sold)

Then multiple the number to f tickets in the second column by the price in the first to determine the revenue.

How do I write [tex]\sqrt[4]{5}[/tex] using rational exponets?

Answers

This the answer 5^1/4

Hope this help

Answer:

y=45u

Step-by-step explanation:

4 with a 5 try adding / bc its supposed to be like a check sin

Exercise 1.5.9 Let R be an n x n upper-triangular matrix with semiband width s. Show that the system Rx = y can be solved by back substitution in about 2ns flops. An analogous result holds for lower-triangular systems.

Answers

The total number of flops required to solve the system is approximately 2ns.

Let R be an n x n upper-triangular matrix with semiband width s. Show that the system Rx = y can be solved by back substitution in about 2ns flops. An analogous result holds for lower-triangular systems.Back substitution is an efficient technique for solving systems of linear equations in matrix form.

This is because back substitution only works on upper- or lower-triangular matrices, which have certain features that make solving systems of equations easier.The back substitution algorithm starts by solving the first equation of the system and obtaining a solution for the first variable. It then uses this value to solve the second equation and obtain a solution for the second variable.

This process is continued until all the variables are solved for.Let R be an n x n upper-triangular matrix with semiband width s. The semiband width of a matrix is the maximum number of nonzero entries in any row or column of the matrix. This means that all entries below the diagonal of R are zero. Let y be a vector of length n.

We want to solve the system Rx = y using back substitution.Since R is upper-triangular, we can solve for the last variable x_n first. This only requires one multiplication and one subtraction. We can then use the value of x_n to solve for the second-to-last variable x_{n-1}, which requires two multiplications and two subtractions.

Continuing in this way, we can solve for all the variables x_1, x_2, ..., x_n, each time requiring one more multiplication and subtraction than the previous step.In total, the number of flops required to solve the system Rx = y using back substitution is approximately 1 + 2 + 3 + ... + n, which is equal to n(n+1)/2.

Since R has semiband width s, this means that each row of R has at most s nonzero entries, so each variable requires at most s multiplications and s-1 subtractions.

Therefore, the total number of flops required to solve the system is approximately 2ns.

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I need help please

What is the area?

____ Square millimeters

Answers

the area is 210 square millimeters

Calculate , the number of all partitions of a set of 6 elements into 3 disjoint sets. Calculate S73, the number of all partitions of a set of 6 elements into 3 disjoint sets.

Answers

The number of all partitions of a set of 6 rudiments into 3 disjoint sets is 69( S( 6, 3) = 69).

To calculate the number of all partitions of a set of 6 rudiments into 3 disjoint sets, we've to apply knowledge of Stirling numbers of the alternate kind. The Stirling figures of the alternate kind, denoted by S( n, k), represent the number of ways to partition a set of n rudiments into  k non-empty subsets.

Then, we want to calculate S( 6, 3), which defines the number of ways to partition a set of 6 rudiments into 3 disjoint sets.

Using the conception of Stirling figures of the alternate kind

S(n, k) = k * S(n-1, k) + S(n-1, k-1)

we can calculate S(6, 3) as given below-

S(6, 3) = 3 * S(5, 3) + S(5, 2)

S(5, 3) = 3 * S(4, 3) + S(4, 2)

S(4, 3) = 3 * S(3, 3) + S(3, 2)

S(3, 3) = 1

S(3, 2) = 3

S(4, 3) = 3 * 1 + 3 = 6

S(5, 3) = 3 * 6 + 3 = 21

S(6, 3) = 3 * 21 + 6 = 69

Therefore, the number of all partitions of a set of 6 elements into 3 disjoint sets is 69 (S(6, 3) = 69).

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The correct question is given below -

Calculate S(6,3) , the number of all partitions of a set of 6 elements into 3 disjoint sets.

Directions: Evaluate the following equation. Show all of your work.

4) 4.2x = 33.6

5) a/3 = 45

6) -8x = 4

Answers

Answer:

4) 8

5) 135

6) -.5

Step-by-step explanation:

4) 33.6/4.2=8

5) 3*45=135

6)4/-8= -1/2 or -.5

Jared gets 10 heads when flipping a weighted coin 12 times. Based on experimental probability, how many of the next six flip should Jared expect to come up heads?

Answers

Answer:

5

Step-by-step explanation:

Experimental probability = number of tunes an event occurred / total number of trials

Experimental probability of getting head :

10 /12 = 0.833333

Expected number of heads from next 6 flips :

Experimental probability = expected number of heads / number of trials

0.833333 = x / 6

0.83333 * 6 = 5

5 times

A figure has a perimeter of 40 units and an area of 100 units2 . Which of the following describes the new perimeter and area after the figure is dilated by a scale factor of
A)Perimeter: 20 units; Area: 50 units2
B)Perimeter: 20 units; Area: 25 units2
C)Perimeter: 10 units; Area: 25 units2
D)Perimeter: 80 units; Area: 200 units2
PLEASE HELP MEEE < ILL GIVE 25 POINTS

Answers

Answer:

B

Step-by-step explanation:

You didn't write the full question but B is the only one that make since.

Find the value of x in the picture below. (round to nearest tenth if needed) THANK YOU FOR HELPING ME:)

Answers

Answer:

17 feet

Step-by-step explanation:

L² = 15² + 8² = 225 + 64 = 289

L = √289 = 17 feet

Answer:

do you need the area or the perimiter?

Help!! please. will mark brainstest​

Answers

Answer:(1,0)

Step-by-step explanation:

y=mx+b
y=4/2x+1
Or simplify
y=2x+1

Solve the following Differential Equations using the Frobenius Method.
1. 2xy''+5y'+xy=0
2. 4xy''+1/2y'+y=0

Answers

1. The general solution of the differential equation is:

y(x) = c₁x^(-3) + c₂x^(-2).

2.The general solution of the differential equation is:

y(x) = c₀x^(-1)ln(x) + c₁x^(-1),

To solve the given differential equations using the Frobenius method, we assume a power series solution of the form:

y(x) = ∑(n=0)^(∞) aₙx^(r+n),

where aₙ is the nth coefficient of the series, r is a constant, and x is the independent variable.

1. For the equation 2xy'' + 5y' + xy = 0:

Substituting the power series solution into the equation and simplifying, we obtain:

x²∑(n=0)^(∞) aₙ(r+n)(r+n-1)x^(r+n-2) + 5∑(n=0)^(∞) aₙ(r+n)x^(r+n-1) + x∑(n=0)^(∞) aₙx^(r+n) = 0.

Now, equating the coefficient of each power of x to zero, we get:

∑(n=0)^(∞) (aₙ(r+n)(r+n-1)x^(r+n-2) + 5aₙ(r+n)x^(r+n-1) + aₙx^(r+n)) = 0.

This gives us a recurrence relation:

aₙ(r+n)(r+n-1) + 5aₙ(r+n) + aₙ = 0.

Simplifying, we find:

aₙ[(r+n)² + 5(r+n) + 1] = 0.

Setting the coefficient to zero, we have:

(r+n)² + 5(r+n) + 1 = 0.

Solving this quadratic equation, we obtain the values of r:

r₁ = -3, r₂ = -2.

Therefore, the general solution of the differential equation is:

y(x) = c₁x^(-3) + c₂x^(-2),

where c₁ and c₂ are constants.

2. For the equation 4xy'' + (1/2)y' + y = 0:

Following the same steps as above, we obtain the recurrence relation:

aₙ[(r+n)(r+n-1) + (1/2)(r+n) + 1] = 0.

Simplifying, we find:

aₙ[(r+n)² + (3/2)(r+n) + 1] = 0.

Setting the coefficient to zero, we have:

(r+n)² + (3/2)(r+n) + 1 = 0.

Solving this quadratic equation, we find the value of r:

r = -1.

Therefore, the general solution of the differential equation is:

y(x) = c₀x^(-1)ln(x) + c₁x^(-1),

where c₀ and c₁ are constants.

These are the solutions obtained using the Frobenius method for the given differential equations.

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What is the yield to maturity of a(n) eight-year, $5000 bond with a 4.4% coupon rate and semiannual coupons if this bond is currently trading for a price of $4723.70? A) 6.31% B) 5.26% C) 7.36% D) 2.63%

Answers

The yield to maturity of a(n) eight-year, if this bond is currently trading for a price of $4723.70 is  B) 5.26%

Time = 8 years

Coupon rate = 4.4%

Value of the bond = $5000

Yield to maturity is the overall return on investment that a bond will have earned once all required payments have been made and the principal has been repaid. Since the investor would receive the initial bond price plus the interest rate that was finalised at the time of the total bond purchase.

Calculating yield to maturity -

[tex]P = C * [1 - (1 + r/2)^(-2n)] / (r/2) + F / (1 + r/2)^(2n)[/tex]

Substituting the values -

$4723.70 =

[tex]($5000 * 0.044/2) * (1 - (1 + Y/2)^(-28)) / (Y/2) + $5000 / (1 + Y/2)^(28)[/tex]

= 0.0526, or 5.26%

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The chess club has 25% more males and females. If there were 20 males, how many females are there in the club.

How many less were the females?

Number of Females =

Thank You!!!!​

Answers

Answer:

number of females =16

Step-by-step explanation:

100% + 25% =125%. 125%=number of males. 100\125 ×20=16. 20 - 16 =4

plssss help

answer it plssssssssss​

Answers

k= 28/5
yeah yeah yeah

A square ceiling has a diagonal of 23 ft. Shelton wants to put
molding around the perimeter of the ceiling. The molding is sold
by the foot
What is the minimum amount of molding he needs?

66 ft
l65 ft
17 ft
16 ft

Answers

66ft is the answer :))))

Answer:

66ft

Step-by-step explanation:

I took the quiz

Can someone help me out please

Answers

Answer:

area = (14 x 16) - (0.5 x 16 x 6) = 176 ft²

Step-by-step explanation:

Answer:

A = 176 ft²

Step-by-step explanation:

2 shapes: one rectangle and 1 triangle:

Rectangle:

A = bh

A = 16(14)

A = 224

Triangle:

A = 1/2bh

A = 1/2(16)(6)

A = 48

Combined:

224 - 48

176

Find the measure of the missing angle

Help please

Answers

Answer:

≈ 56°

Step-by-step explanation:

Using the sine ratio in the right triangle

sin ? = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{34}{41}[/tex] , then

? = [tex]sin^{-1}[/tex] ( [tex]\frac{34}{41}[/tex] ) ≈ 56° ( to the nearest degree )

Sofia bought a clothes iron that was discounted 15% off of the original price of $35. What was the dollar amount of discount of the clothes iron?

Answers

Answer:

$5.25

Step-by-step explanation:

Given data

Original price= $35

Discount= 15%

let us find 15% of $35

=15/100*35

=0.15*35

=$5.25

Hence the amount of the discount is

$5.25

A restaurant used 231 eggs last week. 46 of them are colored white, w. The remaining eggs are colored brown.Write an equation that represents the situation.

Answers

Answer:

46 + W = 231

Step-by-step explanation:

Answer:

231-W=amount of brown eggs (185)

Step-by-step explanation:

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Outsourcing manufacturing to countries with cheaper labor and facilities costs To test if the mean IQ of employees in an organization is greater than 100. a sample of 30 employees is taken and the value of the test statistic is computed as t29 -2.42 If we choose a 5% significance level, we_ Multiple Choice reject the null hypothesis and conclude that the mean IQ is greater than 100 reject the null hypothesis and conclude that the mean IQ is not greater than 100 C) do not reject the null hypothesis and conclude that the mean IQ is greater than 100 C) do not reject the null hypothesis and conclude that the mean is not greater than 100 How many bits are required to address a 4M X 16 main memory ifa)Main memory is byte addressable? ______b)Main memory is word addressable? ______Suppose that a 16M X 16 main memory is built using 512K X 8 RAM chips and memory is word addressable.a)How many RAM chips are necessary? ______b)How many RAM chips are needed for each memory word? _______c)How many address bits are needed for each RAM chip? _______d)How many address bits are needed for all memory? _______ Which of the following statements is incorrect? Multiple Choice If the cost of goods sold percentage decreases and other expenses do not change, then net profit margin will increase as a percentage of sales. if selling and administrative expenses as a percentage of sales increases, then gross profit percentage will decrease. If sales dollars decrease, a company might still report a higher gross profit percentage if cost of goods sold decreases at a faster rate than the decrease in sales. It is possible that when selling and administrative expense in dollars decrease, selling and administrative expenses as a percentage of sales will increase. Find the Z-scores that separate the middle 38% of the distribution from the area in the tails of the standard normal distribution. . The Z-scores are What is not true regarding individual demand curve?Higher price implies less amount of quantity demanded.It can be also considered as a marginal benefit curve.Individual demand curve shows the behaviors of suppliers.Downward sloping. 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The new project will cost $2.58 million today and provide annual cash flows of $671,000 for the next 6 years. The company's cost of equity is 11 83 percent and the pretax cost of debt is 5.07 percent. The tax rate is 21 percent. What is the project's NPV?