Please answer !!!!!!!! Will mark brainliest !!!!!!!!!!!!

(a) The smallest positive value of n for which a simple graph on n vertices and 2n edges can exist is 3. An example of such a graph for the smallest n is a triangle, where each vertex is connected to the other two vertices.

In this case, we have 3 vertices and 2n = 2 * 3 = 6 edges, which satisfies the condition.

To determine the smallest positive value of n, we need to consider the conditions for a simple graph:

1. Each vertex must be connected to at least one other vertex.

2. There should be no multiple edges between the same pair of vertices.

3. There should be no self-loops (edges connecting a vertex to itself).

Considering these conditions, we start by trying with the smallest possible n, which is 3. We construct a graph with 3 vertices and connect each vertex to the other two vertices, resulting in a triangle. This graph satisfies the conditions and has 2n = 2 * 3 = 6 edges.

(b) To prove that G is connected, we will use a proof by contradiction.

Assume that G is not connected, meaning it has two or more components. Let's consider two distinct components, C1 and C2.

Since G has at most two components, each component can have at most 10 vertices (20 vertices / 2 components). Let's assume C1 has x vertices and C2 has y vertices, where x + y ≤ 20.

Now, let's consider two vertices u and v, where u belongs to C1 and v belongs to C2. According to the given condition, deg(u) + deg(v) > 19.

Since deg(u) represents the degree of vertex u, it means the number of edges incident to vertex u. Similarly, deg(v) represents the degree of vertex v.

In C1, the maximum possible degree for a vertex is x - 1 (since there are x vertices, each connected to at most x - 1 other vertices in C1). Similarly, in C2, the maximum possible degree for a vertex is y - 1.

Therefore, deg(u) + deg(v) ≤ (x - 1) + (y - 1) = x + y - 2.

But according to the given condition, deg(u) + deg(v) > 19. This contradicts the assumption that G has at most two components.

Hence, our assumption that G is not connected is false. Therefore, G must be connected.

In conclusion, if a simple graph G has 20 vertices, at most two components, and every pair of distinct vertices satisfies the inequality deg(u) + deg(v) > 19, then G is connected.

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Answer:

73.4

Step-by-step explanation:

The lengths of the tangent segments drawn from an external point to a circle are equal.

**Please refer to the attached annotated diagram - each pair of equal lengths is a different color**

Perimeter = (2 x 14) + (2 x 9) + (2 x 13.7)

                = 28 + 18 + 27.4

                = 73.4

Answer:  (-1,-9)

Step-by-step explanation:

If a point is translate up or down  it means your using the y coordinate an if a point is translated left or right your using the x coordinate.

So the x coordinate is  3  and is translated  to the left by 4 units so is moving back by 4 .

3-4 = -1  

The y coordinate is -7  and is also translated down by 2 units so it is also decreasing.

-7 -2 = -9  

so the image is  (-1,-9)

Two rational numbers between −7/2 and 4/3 are -20/6 and 7/6.

The two given rational numbers are −7/2 and 4/3.

A rational number is a number that is of the form p/q where p and q are integers and q is not equal to 0.

Now, two rational numbers between −7/2 and 4/3 can be found as follows:

Make denominators the same by taking the LCM of denominators.

LCM of 2 and 3 is 6.

Change denominators of both the rational numbers to 6 by multiplying the same number by numerator and denominator.

So, the rational numbers become −21/6 and 8/6.

Now, two rational numbers between −21/6 and 8/6 are -20/6 and 7/6.

Therefore, two rational numbers between −7/2 and 4/3 are -20/6 and 7/6.

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e^4ix d²/dx² + d/dx - 4i is an eigenfunction of the operator in the second column. The eigenvalue is 4

Let's first understand what eigen function is:

The Eigen function is used to represent a set of values or variables. It can be used to solve linear equations and non-linear differential equations.

The eigen function is an expression that represents the unique solution of an ordinary differential equation, or an ordinary differential equation with constant coefficients.

In each case the equation is an eigenfunction of the operator in the second column. The solution values are 3x² + 1, -1 and -2 respectively. The eigenvalue is 3!

Case 1: x = -1, y = -2, z = 0 i.e. an example where the operator is different from zero a(4i-3) - 2a(0) e^4ix d²/dx² + d/dx - 4i

Case 2: e^4ix d²/dx² + d/dx - 4i=0

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a) The mean of the sample is (4+8+0+10+3)/5 = 5. The sample standard deviation is calculated as follows:

s = sqrt([(4-5)^2 + (8-5)^2 + (0-5)^2 + (10-5)^2 + (3-5)^2]/(5-1))

= sqrt([1+9+25+25+4]/4)

= sqrt(64/4)

= 2√2

≈ 2.83

Therefore, the mean of the sample is 5 and the standard deviation is approximately 2.83.

b) To find the Z-score for each score in the sample, we use the formula:

Z = (X - μ) / σ

where X is the score, μ is the mean of the sample, and σ is the standard deviation of the sample.

The Z-scores for the sample are:

Z(4) = (4-5) / 2.83 ≈ -0.35

Z(8) = (8-5) / 2.83 ≈ 1.06

Z(0) = (0-5) / 2.83 ≈ -1.77

Z(10) = (10-5) / 2.83 ≈ 1.77

Z(3) = (3-5) / 2.83 ≈ -0.71

c) To transform the original sample into a new sample with a mean of M = 100 and s = 20, we use the following formula:

X' = Z( X) × s + M

where X' is the transformed score, Z(X) is the Z-score for the original score X, s is the desired standard deviation, and M is the desired mean.

The transformed scores for the sample are:

X'(4) = -0.35 × 20 + 100 ≈ 92.98

X'(8) = 1.06 × 20 + 100 ≈ 121.27

X'(0) = -1.77 × 20 + 100 ≈ 63.46

X'(10) = 1.77 × 20 + 100 ≈ 136.54

X'(3) = -0.71 × 20 + 100 ≈ 85.83

d) The stacked distribution shows the original sample (in blue), the Z-scores (in green), and the transformed sample (in red).

We notice that the relative position of individual scores within each distribution is the same. For example, the score of 8 is the highest score in the original sample, and it also has the highest Z-score and the highest transformed score.

Similarly, the score of 0 is the lowest score in the original sample, and it also has the lowest Z-score and the lowest transformed score. The relative ordering of the scores is preserved across all three distributions.

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False.

Variability in statistics is the degree to which data in a set varies, or how much difference there is in a single set of data. The variability definition also refers to the consistency of the pattern in a set of data.

There are many measures of variability to help researchers determine how much variability is contained within a set of data. A simple measure of variability is the range, the difference between the highest and lowest scores in a set.

A concern when using a simple range measure is the existence of outliers, individual scores that are not grouped with the rest of the scores.

Current statistical studies are modern and have a wealth of analysis tools and software to understand the data. Statistics has a wide range of objectives, which aim not only to understand the variability of the data, but also its origin and motivation. For example, if an election poll shows a variation from a previous poll, statisticians will seek to understand the causes of these variability and not just present the variation in the data.

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The quota sampling produces the same advantages for convenience sampling that stratified random sampling produces for probability sampling.

Sampling:

Sampling is defined as the process in statistical analysis where researchers take a predetermined number of observations from a larger population.

Given,

Here we need to find the type of sampling that produces the same advantages for convenience sampling quota sampling.

Before, move on to the result, first we have to know the details about quota sampling and the probability sampling.

Probability sampling defined as the selection of a sample from a determined number of population, when this selection is based on the principle of randomization, that is, random selection or chance.

In contrast to probability sampling, Quota sampling means a non-probability sampling method in which researchers create a sample involving individuals that represent a population.

Based on these definition we have identified that the method that is best suitable answer for this one is stratified random sampling.

Because the stratified random sampling means, is a probability sampling technique in which the total population is divided into homogenous groups to complete the sampling process.

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The area in square meters will the oil slick cover is 9.5×10⁶ m².

15 barrels of diesel spilt into the ocean, where each barrel contains 42 gallons. Thereby the total volume of the oil spilt by 15 barrels is calculated as follows:

The total volume of the oil spilt by 15 barrels = 15× 42 gallons.

=630 gallons

1 gallon = 3.78541 liters

Volume in L = 630 gallons × 3.78541 liters/ 1 gallon

= 2384.8083 L

1 L = 10⁻³ m³

2384.8083  L = 2384.8083 × 10⁻³ m³

= 2.3848083 m³

The area covered by the oil spill has to be determined, where the thickness of the oil spill is given to be 2.5×10² nm.

1 nm = 10⁻⁹ m

Thereby, 2.5×10² nm = 2.5×10²×10⁻⁹ m

= 2.5×10⁻⁷ m

Area (m²) = volume (m³)/thickness (m)

= 2.3848083 m³/ 2.5×10⁻⁷ m

= 0.95392×10⁷ m²

= 9.5×10⁶ m²

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The annual premium of Susie's insurance company apply as a result of accident is $255 for an year. This is because the monthly insurance payment has been increased by $21.25.

What is Health insurance?

Health insurance or the medical insurance is an insurance which covers the whole or a part of the risk of a person which is incurring the medical expenses. Depending upon the health insurance plan, the risk is shared among many individuals.

Main body:

The increase in monthly insurance payment = $21.25

So, the annual increase in the premium amount paid by Susie will be:

Monthly increase in insurance payment × 12

(As there are 12 months in an year)

Annual increase in premium amount = $21.25 × 12

Annual increase in premium amount = $255

Therefore, the annual increase in the amount of premium paid by Susie for health insurance is $225.

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the correct options are:

O cone

O cylinder

O sphere

What is cylinder?

A cylinder is a three-dimensional geometric shape that consists of two parallel circular bases that are connected by a curved lateral surface. It is a type of prism, as the cross-section of a cylinder taken perpendicular to its axis is always the same, and is a circle.

The volume of a cylinder is calculated as the product of the height (h) and the area of the base (B), which is a circle with radius (r). Therefore, the volume of a cylinder is given by the formula:

V = Bh = πr²h

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Hello,

Answer:

We can start by rationalizing the denominators of each fraction.

For the first fraction, we multiply the numerator and denominator by the conjugate of the denominator, which is √4 - √5:

1/√4+√5 = 1/√4+√5 × (√4 - √5)/(√4 - √5)

= (√4 - √5)/(4 - 5)

= (√4 - √5)/(-1)

For the second fraction, we multiply the numerator and denominator by √5 - √6:

1/√5+√6 = 1/√5+√6 × (√5 - √6)/(√5 - √6)

= (√5 - √6)/(5 - 6)

= (√5 - √6)/(-1)

We can do the same for the remaining fractions:

1/√6+√7 = (√6 - √7)/(-1)

1/√7+√8 = (√7 - √8)/(-1)

1/√8+√9 = (√8 - √9)/(-1)

Now we can simplify the expression:

1/√4+√5 + 1/√5+√6 + 1/√6+√7 + 1/√7+√8 + 1/√8+√9

= (√4 - √5)/(-1) + (√5 - √6)/(-1) + (√6 - √7)/(-1) + (√7 - √8)/(-1) + (√8 - √9)/(-1)

= (√4 - √5 + √5 - √6 + √6 - √7 + √7 - √8 + √8 - √9)/(-1)

= (√4 - √9)/(-1)

= √9 - √4

= 3 - 2

= 1

Therefore, the expression simplifies to 1, which is equal to the right-hand side of the equation.

Good luck

Synthetic division to test one potential root. the numbers that complete the division problem are a = 1 b = 1 c = -12 d = -50

To use synthetic division to test the potential root, we have to arrange the polynomial coefficients in descending order and use the potential root as the divisor.

then the polynomial is written as:

1x^3 + 6x^2 - 7x - 60

Assume that the potential root is x = -5.

-5 |  1   6  -7  -60

   |___-5_-5__10

      1   1 -12__-50

Now the numbers that complete the division problem are:

a = 1 b = 1 c = -12 d = -50

Therefore, the polynomial can be written as  (x - 5)(x^3 + x^2 - 12x - 50)

and the numbers that complete the division problem are a = 1 b = 1 c = -12 d = -50

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The 4th partial sum of the given series is approximately 0.1164.

The given series is:

\(s = \sum_{n=1}^\infty 10/(6n^5)\)

To compute the 4th partial sum, we add up the terms from n=1 to n=4:

\(s_4 = \sum_{n=1}^4 10/(6n^5) = (10/6) (1/1^5 + 1/2^5 + 1/3^5 + 1/4^5)\)

We can simplify this expression using a calculator:

\(s_4\)= (10/6) (1 + 1/32 + 1/243 + 1/1024) ≈ 0.1164

Therefore, the 4th partial sum of the given series is approximately 0.1164.

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The 4th partial sum of the given series is approximately 0.1164.

The given series is:

\(s = \sum_{n=1}^\infty 10/(6n^5)\)

To compute the 4th partial sum, we add up the terms from n=1 to n=4:

\(s_4 = \sum_{n=1}^4 10/(6n^5) = (10/6) (1/1^5 + 1/2^5 + 1/3^5 + 1/4^5)\)

We can simplify this expression using a calculator:

\(s_4\)= (10/6) (1 + 1/32 + 1/243 + 1/1024) ≈ 0.1164

Therefore, the 4th partial sum of the given series is approximately 0.1164.

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Cathy and Iris have 259,459,200 ways to skip countries.

Data;

To solve this problem, we would have to use a mathematical procedure known as combination.

Let us calculate the number of countries that would have to skip.

\(13 - 9 = 4\)

To decide which country they have to skip, it would be 4 out of 13.

\(x = ^1^3C_4 = \frac{13!}{4!}\)

Let's solve this

\(\frac{13!}{4!} = \frac{13*12*11*10*9*8*7*6*5*4*3*2*1}{4*3*2*1}\\ \frac{13!}{4!} = 13*12*11*10*9*8*7*6*5 = 259459200 ways\)

Cathy and Iris have 259,459,200 ways to skip countries.

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Answer:

I'm not too sure which one you need, so choose what answer needs to go in the box!

JL= 44.5

JK=23.3

KL=23.3

Step-by-step explanation:

Since JK and KL are equal to eachother, we have to find the missing variable through them. You want to choose one side to have the variable number and the other side for the normal numbers. I can't really explain this next bit, so I'll show the math below:

V N

4x - 10.7 = 2x + 6.3

+10.7. +10.7

_________________

4x = 2x + 17

-2x -2x

2x = 17

So, once there is only one variable number and one normal number left, what do you do? You divide the variable by the number it's worth and carry the division to the normal number.

2x = 17

÷2. ÷2

_______

x = 8.5

So, 8.5 is our number we need. We then just insert it into all the equations to get the numbers.

4 × 8.5 = 34

34 - 10.7 = 23.3

Since JK and KL are equal, they are both 23.3.

5 × 8.5= 42.5

42.5 + 2 = 44.5

JL=44.5

Answer:

26

Step-by-step explanation:

26 is the greatest number because 5.2 is a single digit and has lower value than 26.

26 > 5.2

Hope this helps!

Answer:

If the perimeter is 200feet (two lengths and two widths) then one width+one length equals 100feet.

If the length is 10 feet longer than the width, then length = 55 feet, and width =45 feet

Therefore the area of the rectangle is 45x55 feet, which equals 2475 sq.ft

Step-by-step explanation:

Hi! Nice to meet you and have a great day

Answer:

If the perimeter is 200feet (two lengths and two widths) then one width+one length equals 100feet.

If the length is 10 feet longer than the width, then length = 55 feet, and width =45 feet

Therefore the area of the rectangle is 45x55 feet, which equals 2475 sq.ft

Where the function f is discontinuous  and continuous  is  mathematically given as

Generally, the equation for is  mathematically given as

Since x+1, 1/x, and (x-5), the function does not "break" since these three terms are continuous. at

According to the dictionary definition of continuity, the function f(x) is continuous at x = a if:

lim (x->a-) f(x) = lim (x->a+) f(x) = f(a).

for x = 0

lim (x->0-) f(x)

= lim (x->0-) (x+1),

since f(x) = x+1 for \(x \leq 1\)

f(x<=1) = 1 + 0

f(x<=1)= 1

lim (x->0+) f(x)= lim (x-->0+) ( √(x-5) ), since f(x)

lim (x->0+) f(x)= √(x-5 for x>=5

lim (x->0+) f(x)= 5

In conclusion,

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Complete Question

Find the numbers at which f is discontinuous. Then determine whether f is continuous from the right, from the left, or neither at each point of discontinuity.

f(x)={ x+1 if x< 1

1/x if 1<x<5

√(x-5) if x> 5

Answer:

3 is your answer

Step-by-step explanation:

Answer:

3 on edge

Step-by-step explanation:

Answer:

First choice, 75%

Step-by-step explanation:

Add all the numbers together:

15 + 8 + 10 + 12 + 15 = 60

So the probability that you'll get a lose a turn card is 15/60 which simplified is 1/4, 1/4 in decimal form is 0.25 which is 25%. % means out of 100 so to double check: 1/4 times 100 = 100/4 = 25%

There's a 25% chance that you will draw the lose a turn card so

100% - 25% = 75%

So there's a 75% probability you will not draw the lose a turn card

Answer:

sum of all angles in a triangle = 180

111 + 42 + x = 180

153 + x = 180

x= 180-153

x=27

Step-by-step explanation:

Answer:

27°

Step-by-step explanation:

All triangles are 180° therefore, you can add 111° and 42° then subtract that from 180°

Answer:

\(x > 3\)

Step-by-step explanation:

\(x - 5 > - 2 \\ x > - 2 + 5 \\ x > 3\)

First you collect like terms

Then you add

The second-order partial derivatives of \(\(f(x, y) = x^2 + y - e^x + y^2\)\)are:

\(\(\frac{{\partial^2 f}}{{\partial x^2}} = 2 - e^x\), \(\frac{{\partial^2 f}}{{\partial y^2}} = 2\),\(\frac{{\partial^2 f}}{{\partial x \partial y}} = 0\),\(\frac{{\partial^2 f}}{{\partial y \partial x}} = 0\)\) . The value of \(\(w(x, y) = x^2 - y^2 + 10x\)\) at \(\(t = \frac{1}{2}\pi\)\) is -1. The value of \(\(\frac{{dw}}{{dt}}\)\)at \(\(t = \frac{1}{2}\pi\)\) is -10.

The second-order partial derivatives of the function f(x, y) = x² + y - eˣ+ y² are as follows:

The second partial derivative with respect to x, denoted by (∂²f)/(∂x²), evaluates to 2 - eˣ. This derivative represents the rate of change of the rate of change of f with respect to x.

The second partial derivative with respect to y, (∂²f)/(∂y²), simplifies to 2. It represents the rate of change of the rate of change of f with respect to y. The mixed partial derivatives, (∂²f)/(∂x∂y) and (∂²f)/(∂y∂x), both evaluate to 0. This indicates that the order of differentiation does not affect the result, implying symmetry in the mixed partial derivatives.

To evaluate the function \(w(x, y) = x^2 - y^2 + 10x\) at t = 1/2π, we substitute x = cos(t) and y = sin(t). Substituting these values into the expression for w yields w(cos(t), \(sin(t)) = cos^2(t) - sin^2(t) + 10cos(t)\). Plugging in t = 1/2π, we find w(0, 1) = -1.

Finally, to find dw/dt at t = 1/2π, we differentiate w with respect to t and substitute t = 1/2π. By taking the derivative, we obtain dw/dt = -2sin(t)cos(t) - 2sin(t)cos(t) - 10sin(t). Substituting t = 1/2π gives dw/dt|t=1/2π = -10.

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Answer: B (The cost of a notebook is $0.75, and the cost of a folder is $0.25.)

Step-by-step explanation:

No need for explanation. i know i’m right!!

Answer:

Step-by-step explanation:

2p - q + 4 - ( p - q )

2p - q + 4 - p + q

By rearranging the terms

2p - p + 4

( you might think where -q and +q went ???

They are cancelled because they have opposite signs )

∴The answer is p + 4

Hope it helps

plz mark as brainliest!!!!!!!

Answer:

\(\boxed{p+4}\)

Step-by-step explanation:

It will be like

=> (2p - q + 4) - (p-q)

=> 2p-q+4-p+q

Combining like terms

=> 2p-p-q+q+4

=> p+4

The factors of x³ 2x² 5x 6 are two binomials. The first binomial is x² + 2, and the second binomial is x + 3. These two binomials can be multiplied together to get the original equation, x³ 2x² 5x 6.

To find the factors of x³ 2x² 5x 6, we need to use the factorization process. This involves breaking down the equation into its prime factors. First, we need to factor out the greatest common factor (GCF) from the equation. The greatest common factor of x³ 2x² 5x 6 is x, so we can factor out x to get x² 2x 5 6. Now, we can use the difference of squares formula to factor out the remaining terms. The difference of squares is (a + b)(a - b). We can use this formula with 2x and 5 to get (2x + 5)(2x - 5). This leaves us with the two binomials (x² + 2)(x + 3). These two binomials can be multiplied together to get the original equation, x³ 2x² 5x 6.

x³ 2x² 5x 6 = (x)(x² 2x 5 6)

= (x)(2x + 5)(2x - 5)

= (x)(x² + 2)(x + 3)

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The equation is modeled as y = 4x + 8z. Then the total money y made in ticket sales will be $80.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

Tickets for a play cost $4 for each child and $8 for each adult.

Let x be the number of the children's tickets, z be the number of the adult's tickets, and y be the total cost.

Then the equation of the total cost is given as,

y = 4x + 8z

If there are only 20 children's tickets sold.

Then the total money y is made in ticket sales will be

y = 4 × 20 + 8 × 0

y = $80

Thus, the total money y made in ticket sales will be $80.

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The facility's approximate cost of early turnover for this year is $45000.

The cost of turnover is the cost associated with turning over one position. This calculation includes the cost of hiring for that position, training the new employee, any severance or bonus packages, and managing the role when it is not filled. Every company will experience some turnover.

Turnover cost refers to expense both tangible or intangible associated with replacing an employee. It is extremely high: it's estimated that losing an employee can cost a company 1.5-2 times the employee's salary.

Shift A has number of associated leaving the facility within 90 days is 8, per associated cost is $3000 and total cost is $24000.

Shift B  has number of associated leaving the facility within 90 days is 5, per associated cost is $3000 and total cost is $15000.

Shift C  has number of associated leaving the facility within 90 days is 2, per associated cost is $3000 and total cost is $6000.

Shift D  has number of associated leaving the facility within 90 days is 0, per associated cost is $3000 and total cost is $30.

Therefore

Total cost = $24000 + $3000 + $6000

Total cost = $45000

Hence the facility's approximate cost of early turnover for this year is $45000.

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Answer:

(1/9)x-5/9=y

Step-by-step explanation:

Y=9x+5

You first swap/interchange x and y

x=9y+5

Then solve for y

x/9-5/9=9y/9

Final answer:(1/9)x-5/9=y