PLSSSSSS HELPPPPPPP FAST WILL GIVE BRAINLIEST

Happy Valentine's day!!! May God bless you!

Answer:

happy Valentine day you too

The possible degree sequences for a simple graph are: b. (6, 5, 5, 5, 4, 4, 3, 2, 2, 2) c. (5, 4, 4, 4, 3, 2)

To determine which of the given degree sequences are possible for a simple graph, we can apply the Handshaking Lemma.

The Handshaking Lemma states that the sum of the degrees of all vertices in a graph is equal to twice the number of edges.

Let's analyze each degree sequence:

a. (5, 3, 3, 3, 3, 2)

To check if this degree sequence is possible, we sum up all the degrees: 5 + 3 + 3 + 3 + 3 + 2 = 19. According to the Handshaking Lemma, the sum of the degrees should be twice the number of edges. Therefore, the number of edges should be 19/2 = 9.5, which is not an integer. Since the number of edges must be a whole number, this degree sequence is not possible for a simple graph.

b. (6, 5, 5, 5, 4, 4, 3, 2, 2, 2)

Summing up the degrees: 6 + 5 + 5 + 5 + 4 + 4 + 3 + 2 + 2 + 2 = 38. According to the Handshaking Lemma, the number of edges should be 38/2 = 19. The number of edges being an integer, this degree sequence is possible for a simple graph.

c. (5, 4, 4, 4, 3, 2)

Summing up the degrees: 5 + 4 + 4 + 4 + 3 + 2 = 22. The number of edges should be 22/2 = 11. Since the number of edges is an integer, this degree sequence is possible for a simple graph.

d. (9, 7, 3, 3, 3, 2, 2, 1, 1)

Summing up the degrees: 9 + 7 + 3 + 3 + 3 + 2 + 2 + 1 + 1 = 31. The number of edges should be 31/2 = 15.5, which is not an integer. Therefore, this degree sequence is not possible for a simple graph.

Based on the analysis above:

a. (5, 3, 3, 3, 3, 2) is not possible.

b. (6, 5, 5, 5, 4, 4, 3, 2, 2, 2) is possible.

c. (5, 4, 4, 4, 3, 2) is possible.

d. (9, 7, 3, 3, 3, 2, 2, 1, 1) is not possible.

Therefore, the possible degree sequences for a simple graph are:

b. (6, 5, 5, 5, 4, 4, 3, 2, 2, 2)

c. (5, 4, 4, 4, 3, 2)

To learn more about simple graph

https://brainly.com/question/32642751

#SPJ11

To determine if the function f(x) = 1/x satisfies the hypotheses of the Mean Value Theorem on the given interval [1,6], we need to check if the function is continuous on the interval and differentiable on the open interval (1,6).

In this case, f(x) = 1/x is continuous on the interval [1,6] because it is defined and continuous for all values of x within that interval.

However, f(x) = 1/x is not differentiable at x = 0 since the derivative is undefined at that point. But since the interval of interest is [1,6], which does not include x = 0, we only need to consider the differentiability of the function on the open interval (1,6).

On the open interval (1,6), f(x) = 1/x is differentiable because it is the reciprocal of a differentiable function, except at x = 0 which is not included in the interval (1,6).

Therefore, the function f(x) = 1/x satisfies the hypotheses of the Mean Value Theorem on the given interval [1,6] because it is continuous on [1,6] and differentiable on (1,6).

The correct answer is: O Yes, f is continuous on [1,6] and differentiable on (1,6).

To learn more about Mean Value Theorem, refer below:

https://brainly.com/question/30756017

#SPJ11

Answer:

(n-1)(3n+4)

= 3n² + 4n - 3n - 4

= 3n² + n - 4

Answer:

y = 10x

Step-by-step explanation:

y is the variable for the total amount of money she makes, and x is the variable for the number of dogs she walks.

If each dog she walks earns her $10, then 2 dogs = $20, 3 dogs = $30, etc. Substitute the number of dogs she walks for x and multiply by 10 to find what Marcy makes.

The function "mystery" will be called 6 times if we call mystery(5), including the first call. The correct answer is B. 6.

When the function mystery(5) is initially called, it enters the recursive loop. Inside the function, it checks if the input n is less than or equal to 1. In this case, n is equal to 5, which is not less than or equal to 1. Therefore, it proceeds to call mystery(n-1).

In the subsequent call mystery(4), the same check is performed. Since 4 is also not less than or equal to 1, it calls mystery(n-1) again.

This process continues until the input value becomes 1. When mystery(1) is called, it satisfies the condition of being less than or equal to 1. Therefore, it does not make any further recursive calls.

To summarize, the function mystery will be called 6 times in total: the initial call mystery(5) and 5 subsequent calls as the input value decreases from 5 to 1.

Hence, the correct answer is B. 6.

Learn more about recursive calls here:

brainly.com/question/32605099

#SPJ11

Answer:

(7, -1)

Step-by-step explanation:

3x + 7y = 14

y = x - 8

3x + 7(x - 8) = 14

3x + 7x - 56 = 14

10x - 56 = 14

Add 56 to both sides.

10x = 70

Divide both sides by 10.

x = 7

3(7) + 7y = 14

21 + 7y = 14

Subtract 21 from both sides.

7y = -7

Divide both sides by 7.

y = -1

(7, -1)

a. 405000 - 6 significant digits        b. 0.0098 - 2 significant digits

c. 39.999999 - 9 significant digits   d. 13.00 - 4 significant digits

e. 80,000,089 - 8 significant digits  f. 55,430.00 - 7 significant digits

g. 0.000033 - 2 significant digits     h. 620.03080 - 8 significant digits

a. The number 405,000 has four significant digits: 4, 0, 5, and 0.

b. The number 0.0098 has two significant digits: 9 and 8.

c. The number 39.999999 has eight significant digits: 3, 9, 9, 9, 9, 9, 9, and 9.

d. The number 13.00 has four significant digits: 1, 3, 0, and 0.

e. The number 80,000,089 has eight significant digits: 8, 0, 0, 0, 0, 0, 8, and 9.

f. The number 55,430.00 has six significant digits: 5, 5, 4, 3, 0, and 0.

g. The number 0.000033 has three significant digits: 3, 3, and 3.

h. The number 620.03080 has eight significant digits: 6, 2, 0, 0, 3, 0, 8, and 0.

Learn more about significant digits

brainly.com/question/29055736

#SPJ11

A manufacturer of compact fluorescent light bulbs advertises have a standard deviation of 1,000 hours so the values are:

A normal distribution with,

μ = 9000

σ = 1000

a) The standardized score is the value x decreased by the mean and then divided by the standard deviation.

x = 105000 - 9000 / 1000 ≈ 1.50

Determine the corresponding probability using the normal probability table in appendix,

P(X>10500) = P(Z>1.50) = 1 - P(Z<1.50)

= 1 - 0.9332 = 0.0668.

b) n = 15

The sampling distribution of the mean weight is approximately normal, because the population distribution is approximately normal.

The sampling distribution of the sample mean has mean μ and standard deviation σ/√n

μ = 1000/√15 = 258.19

c) The sampling distribution of the sample mean has mean μ and standard deviation σ/√n

The z-value is the sample mean decreased by the population mean, divided by the standard deviation:

z = x-u/σ/√n = 10500-9000/1000√15 = 5.81

Learn more about Probability:

https://brainly.com/question/26203207

#SPJ4

E) 10 minutes. At the local fast food joint, cars arrive randomly at a rate of 12 every 30 minutes, which is equivalent to a rate of 0.4 cars per minute (12 arrivals / 30 minutes). The service time for each car averages 2 minutes per arrival and follows an exponential distribution.

To find the average time in the queue for each arrival, we can use Little's Law. Little's Law states that the average number of customers in a system (L) is equal to the arrival rate (λ) multiplied by the average time a customer spends in the system (W). In other words, L = λW.

In this scenario, we are given the arrival rate (λ) and the service time (μ), but we want to find the average time a customer spends in the system (W). To do this, we can use the formula for the average time in an M/M/1 queue: W = 1 / (μ - λ).

Plugging in the values, we get W = 1 / (0.5 cars/minute - 0.4 cars/minute) = 1 / 0.1 cars/minute = 10 minutes. Thus, the average time in the queue for each arrival is 10 minutes.

learn more about exponential distribution here: brainly.com/question/16758463

#SPJ11

Answer:

y=1/5x-1

Step-by-step explanation:

Answer:

\( \frac{9c + 160}{5} \)

Step-by-step explanation:

C = 5(F - 32)/9

so we do a little algebra here

9C = 5F - 160

we move both side

5F - 160 = 9C

5F = 9C + 160

so in the end

F =

\( \frac{9c + 160}{5} \)

a = 9

b = 160

c = 5

Answer:

\(F=\frac{9C+160}{5}\)

Step-by-step explanation:

\(C=\frac{5(F-32)}{9}\)

Multiply both sides with 9.

\(9C=5(F-32)\)

Use distributive property.

\(9C=5F-160\)

Add 160 to both sides.

\(9C+160=5F\)

Divide 5 to both sides.

\(\frac{9C+160}{5}=F\)

The only binomial factor of f(x)=x^4-33x^2-28x+60 is (x-3).

To find which binomial is a factor of f(x)=x^4-33x^2-28x+60, we can use the factor theorem which states that if (x-a) is a factor of a polynomial f(x), then f(a)=0.

Therefore, we can try to find a value of x that makes f(x) equal to 0 and use that to determine the binomial factor.

Using synthetic division or long division, we can find that x=3 is a zero of the polynomial f(x), which means that (x-3) is a factor.

To find the other factor, we can divide the polynomial f(x) by (x-3) using long division or synthetic division. Doing this, we get:

x^3 + 3x^2 - 24x - 20

Now, we can use the same process to find if there are any more binomial factors. However, in this case, we cannot factor the polynomial x^3 + 3x^2 - 24x - 20 using binomials with integer coefficients.

Therefore, the only binomial factor of f(x)=x^4-33x^2-28x+60 is (x-3).

To know more about binomial factors refer here :

https://brainly.com/question/29198524#

#SPJ11

Type fish A are 8 inches long and Type B fish are 7 inches long.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them. Variables are the name given to these symbols because they lack set values. We frequently observe constant change in specific values in our day-to-day situations. But the need to depict these shifting values is ongoing. These values are frequently represented in algebra by symbols such as x, y, z, p, or q, and these symbols are known as variables. In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Marta's aquarium holds 38 gallons of water

and Hank's aquarium hold 52 gallons of water.

let length of fish A be x

and, the length of type B be y.

So, 3x+ 2y = 38

and, 3x+ 4y = 52

Solving above equation

2y = 52-38

2y = 14

y=7

and, 3x+ 2(7) = 38

3x = 38-14

3x= 24

x= 24/3

x= 8

Hence, Type fish A are 8 inches long and Type B fish are 7 inches long.

Learn more about algebra here:

https://brainly.com/question/24875240

#SPJ1

The abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).

Given the equation x^2 = 2y.

The coordinates of the point are (4,1).We have to find the abscissa on the curve that is nearest to this point.So, let's solve this question:

To find the abscissa on the curve x2 = 2y which is nearest to the point (4,1), we need to apply the distance formula.In terms of x, the formula for the distance between a point on the curve and (4,1) can be written as:√[(x - 4)^2 + (y - 1)^2]But since x^2 = 2y, we can substitute 2x^2 for y:√[(x - 4)^2 + (2x^2 - 1)^2].

Now we need to find the value of x that will minimize this expression.

We can do this by finding the critical point of the function: f(x) = √[(x - 4)^2 + (2x^2 - 1)^2]To do this, we take the derivative of f(x) and set it equal to zero: f '(x) = (x - 4) / √[(x - 4)^2 + (2x^2 - 1)^2] + 4x(2x^2 - 1) / √[(x - 4)^2 + (2x^2 - 1)^2] = 0.

Now we can solve for x by simplifying this equation: (x - 4) + 4x(2x^2 - 1) = 0x - 4 + 8x^3 - 4x = 0x (8x^2 - 3) = 4x = √(3/8)The abscissa on the curve x^2 = 2y that is nearest to the point (4,1) is x = √(3/8).T

he main answer is that the abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).

The abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).

To know more about abscissa visit:

brainly.com/question/32034993

#SPJ11

Answer:

33.5416666667

Step-by-step explanation:

805/24 math problems division = 33.5416666667. Therefore 33.5416666667 to 2 decimal places= 33.54

805/24 divided by 2 » (805/24) ÷ 2 » 33.5416666667 ÷ 2 = 16.7708333333 . Check 805/24 long division below

Answer:

This is about your opinion, not mine, but here's my opinion.

Don't copy and paste because anything can be found with good filters.

Essentially, just paraphrase or something.

Step-by-step explanation:

I prefer standard notation when calculating with small digits under 6 zeros because it is more visually simpler to view. When a number is involved with more digits, I prefer scientific notation because it is unlikely that I will lose track of how many digits there are.

Answer:

£164.50

Step-by-step explanation:

If the discount is 6%, then the discounted price is 94% of the original price.

95% of £175 = 0.94 × £175 = £164.50

Answer:

D

Step-by-step explanation:

A: Not A. It can be graphed. It is a vertical line where x = 3. Every point must have an x value of 3. (3,4), (3,0), (3.- 6) are all on x = 4. It can be graphed, but it is not a function.

B:  Not B. It is not a function at all. To be a function, it can only have 1 y value associated with it.

C: It's not a linear function because it is not a function.

D is your answer

Answer: 2/5

Step-by-step explanation: Find a number that both the numerator and denominator can be divided by that is the same for both. In this case, both can be divided by 3. That gives us 4/10. Now we do the same thing again, this time the number is 2. Dividing both by 2 gives us 2/5.

The simplest form of the fraction 12/30 is 2/5.

The given fraction is 12/30.

We have to simplify the fraction to simplest form.

To simplify the fraction 12/30 to its simplest form, we need to find the greatest common divisor (GCD) of the numerator and denominator and then divide both by the GCD.

The GCD of 12 and 30 is 6.

We can divide both the numerator (12) and denominator (30) by 6:

12 ÷ 6 = 2

30 ÷ 6 = 5

Therefore, the simplest form of 12/30 is 2/5.

To learn more on Division click:

https://brainly.com/question/21416852

#SPJ6

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that's supplementary to the third interior angle

13x - 11 + 4x + 1 = 18x - 15 add like terms

17x - 10 = 18x - 15

- 10 + 15 = 18x - 17x

5 = x

measure of angle A 13x - 11 ➡ 13 × 5 - 11 = 54°

measure of angle B 4x + 1 ➡ 4 × 5 + 1 = 21°

measure of angle C 18x - 15 ➡ 18 × 5 - 15 = 75°

Answer:

The equation — E = mc2 — means "energy equals mass times the speed of light squared." It shows that energy (E) and mass (m) are interchangeable; they are different forms of the same thing. If mass is somehow totally converted into energy, it also shows how much energy would reside inside that mass: quite a lot.

Step-by-step explanation:

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

Based on the information, it can be inferred that the correct option is B, since it denotes the correct frequency for each of the money ranges.

To identify the correct graph we must compare the information that the teachers gave Quan. In this case we must review each of the ranges and count the number of values that are in that range, this value would be the frequency.

According to the previous procedure, the frequencies would be the following:

0 - 99 = 7 (80, 50, 75, 50, 60, 80, 90)

100 - 149 = 4 (100, 140, 125, 100)

150 - 199 = 2 ( 175, 150)

200 - 249 = 2 (225, 200)

250 - 299 = 1 (250)

Based on the above information, it can be inferred that the correct graph is option B because it shows the correct values of the frequency of each of the ranges.

Note: This question is incomplete because there is some information missing. Here is the complete information:

Image attached.

Learn more about frequency in: https://brainly.com/question/5102661

#SPJ1

Option B is correct, the domain includes all the integers and range is y≥0.

The domain refers to all the possible input values or x-values for which the function or graph is defined.

It represents the set of numbers that the independent variable (usually represented as "x") can take on.

In simpler terms, the domain is the set of values for which the function or graph makes sense.

The range, on the other hand, refers to all the possible output values or y-values that the function or graph can produce.

It represents the set of numbers that the dependent variable (usually represented as "y") can take on.

In simpler terms, the range is the set of values that the function or graph can reach.

Hence, the domain includes all the integers and range is y≥0.

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ1

Answer:

b = c = 75°

Step-by-step explanation:

b and 105° are adjacent angles and sum to 180° , then

b + 105° = 180° ( subtract 105° from both sides )

b = 75°

b and c are vertically opposite angles and are congruent , so

c = b = 75°

Then a z-score such that the interval within one standard deviation of the mean contains a 50%  probability is 1.

To find a z-score where an interval within x standard deviations of the mean contains a 50%  probability, you can use the standard normal distribution (also known as the z-distribution).

In a standard normal distribution, the 50%  probability is between -1 standard deviation and +1 standard deviation from the mean. Therefore, a range within one standard deviation contains a 50%  probability.

If you want to obtain a z-score over a range of x standard deviations, you can simply set x  to the desired number of standard deviations. In this case x = 1.

learn more about  probability.

https://brainly.com/question/31828911.

Answer:

0.60

Step-by-step explanation:

becouse of two probability within added gives the above answer

Answer:

5

Step-by-step explanation:

25% of 20 is 5