Given the following vertex set and edge set (assume bidirectional edges): V = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} E = {{1,6}, {1, 7}, {2,7}, {3, 6}, {3, 7}, {4,8}, {4, 9}, {5,9}, {5, 10} 1) Draw the graph with all the above vertices and edges. 2) Is there any cycle in the graph? If yes, list the edges of the cycle. 3) Is this graph complete? Explain your answer. 4) Is this graph bipartite? If yes, list the bipartite sets of vertices V1 and V2. 5) Is this graph complete bipartite graph? If not, explain why and what edges do we need to add to make it complete bipartite graph? 6) What is the adjacency matrix representation of this graph? 7) What is the linked-list based representation of this graph? Assume all edge weights are 1.

Answer:

46.272 or 46 34

125

Explains :

Let see :

Based on the given conditions, formulate: 16×14.46÷5

Calculate the product or quotient:231.36

5

Convert decimal to fraction:23136

100

5

Divide a fraction by multiplying its reciprocal:23136 × 1

100 5

Write as a single fraction:23136

100×5

Cross out the common factor:5784

25×5

Calculate the product or quotient:5784

5784 125

get the result: 46.272 or 46 34

125

Answer: 46.272 or 46 34

125

The two expressions that make up an equation or an inequality are connected in a mathematical statement.

How do you identify inequalities?

The equals sign in the equation-like statement 5x 4 > 2x + 3 has been replaced by an arrowhead. This is a prime instance of inequality. This indicates that the left half, 5x 4, is larger than the right part, 2x + 3, in the equation.

A mathematical inequality is a comparison made between two algebraic expressions using the larger than (>), less than (), and other inequality symbols. An inequality pair connected by and or or is referred to as a compound inequality.

B. 3t + 3.5c <= 180 and 30t + 38c >= 1500.

The first inequality represents the constraint that the carpenter cannot work more than 180 hours in a month. The second inequality represents the requirement that they earn at least $1500 in a month.

These two inequalities, combined, describe the conditions that the carpenter must satisfy in order to manufacture tables and chairs in a way that meets both the time constraint and the income requirement.

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Answer:

8.66

Step-by-step explanation:

Answer:

28/3

Step-by-step explanation:

Dividing a fraction is the same as multiplying it by the reciprocal.

First, convert 4 and 2/3 to an improper fraction.

You get 14/3. Multiply that by the reciprocal of 1/2 (2/1) to get your answer.

14/3 * 2/1 = 28/3

The cost of goods purchased is the sum of the beginning inventory and the cost of goods available for sale. (b) The cost of goods sold is the cost of goods available for sale minus the ending inventory.

To compute the cost of goods purchased, we need to add the beginning inventory to the purchases. In this case, the beginning inventory is given as $60,000 and the purchases are $380,000. Therefore, the cost of goods purchased is $440,000.

To calculate the cost of goods sold, we subtract the ending inventory from the cost of goods available for sale. The cost of goods available for sale is the sum of the beginning inventory and the purchases, which is $440,000. The ending inventory is given as $80,000. Therefore, the cost of goods sold is $360,000 ($440,000 - $80,000).

To prepare the income statement, we need to consider other relevant information such as sales revenue, operating expenses, and other income or expenses. Without the complete data, it is not possible to provide a detailed income statement for 2017. The income statement typically includes the following sections: sales revenue, cost of goods sold, gross profit, operating expenses, operating income, and net income.

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The value of x that maximizes the volume of the box is:x = 18 + 3sqrt(17)

To find the value of x that maximizes the volume of the box, we first need to determine an expression for the volume of the box in terms of x.

We know that the length and width of the base of the box will be (54-2x) cm since we are cutting x-cm squares out of each corner. The height of the box will be x cm.

Therefore, the volume of the box can be expressed as:

V = (54-2x) * (54-2x) * x

Simplifying this expression, we get:

V = 4x^3 - 216x^2 + 1458x

To find the value of x that maximizes this expression, we can take its derivative and set it equal to zero:

dV/dx = 12x^2 - 432x + 1458 = 0

We can solve for x using the quadratic formula:

x = [432 ± sqrt(432^2 - 4*12*1458)] / (2*12)

Simplifying this expression, we get:

x = [432 ± sqrt(186624)] / 24

x = [432 ± 432sqrt(17)] / 24

x = 18 ± 3sqrt(17)

Since x represents the length of the side of the square that is cut out of each corner, it must be positive. Therefore, the only valid solution is:

x = 18 + 3sqrt(17)

This value of x maximizes the volume of the box, and we can substitute it back into our expression for V to find the maximum volume:

V = (54-2(18+3sqrt(17)))^2 * (18+3sqrt(17))

V = 5832sqrt(17) - 34992

Therefore, the value of x that maximizes the volume of the box is:

x = 18 + 3sqrt(17)

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From solving the give question, the formula q-2p = p+4 by making p the subject is -\(= > p = \frac{q}{3} - \frac{4}{3}\)

A value is computed utilizing operands and a math operator as part of the mathematical "operation." In order to be applied to the provided operands or integers, the math operator's symbol has predetermined rules.

to find the value of p from the given formula as -

=> q-2p =p+4

Substracting p from the both side

\(= > q-2p-p = p-p+4\\= > q-3p = 4\)

Substracting q from the both side

\(= > q-q-3p=4-q\\= > -3p = 4-q\\3p=q-4\)

Diving both side 3,

\(= > p = \frac{q}{3} - \frac{4}{3}\)

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Answer:

160

Step-by-step explanation:

4 × 10 × 4 = 160

(Random words to hit the character limit please ignore)

R-squared is calculated as the square of the linear correlation coefficient (r). In this case, the linear correlation coefficient is 0.817, so the R-squared can be calculated as follows:

R-squared = r^2 = 0.817^2 = 0.67

R-squared measures the proportion of variation in the dependent variable that is explained by the independent variable in a regression analysis. A value of R-squared close to 1 indicates that a large proportion of the variation in the dependent variable is explained by the independent variable, while a value close to 0 indicates the opposite.

In this case, a value of 0.67 for R-squared indicates that 67% of the variation in the dependent variable is explained by the independent variable, while the remaining 33% is unexplained.

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Answer:

He ate 0.5 strawberry

Step-by-step explanation:

4÷8 or 4×(1/8) =0.5 strawberry

Edit 1: Typo

Answer:

1/2 or half a strawberry

Step-by-step explanation:

1/8*4

Answer: I am pretty sure that the answer is flipping a coin twice and recording the result

Step-by-step explanation: my reasoning is you can compare the results unlike the rest

Answer:

A. a net

Step-by-step explanation:

I did the test

Answer:

The values in the domain where f(x) = 0 are x = -2.5, x = - 0.75 and x = 1.

Step-by-step explanation:

Since we are given the points (-2.5,0), (-0.75, 0), (0, -3) and (1,0) where the coordinates are in ordered pairs of (x, y) where y = f(x).

To find the values in the domain where f(x) = 0, we look at the ordered pairs given.

We look for the pair in which f(x) = 0.

So f(x) = 0 in (-2.5, 0)

f(x) = 0 in (-0.75, 0)

and f(x) = 0 in (1, 0)

The corresponding values of x  in which f(x) = 0 are x = -2.5, x = - 0.75 and x = 1.

So, the values in the domain where f(x) = 0 are x = -2.5, x = - 0.75 and x = 1.

Answer:

C. \(x=1\)

Step-by-step explanation:

When x is 1, y is 0.

Answer:

The third choice.

Step-by-step explanation:

This is a linear function.

The equation is y = (x - 5)(5x + 4) - 5x^2.

y = 5x^2 - 25x + 4x - 20 - 5x^2

y = 5x^2 - 5x^2 - 21x - 20

y = -21x - 20

That means this is a linear function, with a linear term of -21x and constant term of -20.

Hope this helps!

Answer:

Step-by-step explanation:

The sequence 1/2, 1/4, 1/8, 1/16, …. is a geometric sequence, and the 9, 14, 19, 24, … is an arithmetic sequence.

Let a₁ be the first term and r be the common ratio. Then the nth term of the geometric sequence is given as,

aₙ = a₁ · (r)ⁿ⁻¹

Let a₁ be the first term and d be a common difference. Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

Let's check all the options.

a) 1/2, 1/4, 1/8, 1/16, ….

The common ratio is given as,

r = (1/4) / (1/2) = (1/8) / (1/4) = (1/16) / (1/8)

r = 1/2 = 1/2 = 1/2

The sequence is a geometric sequence.

b) 9, 14, 19, 24, …

The common difference is given as,

d = 14 - 9 = 19 - 14 = 24 - 19

d = 5 = 5 = 5

c) 1, 4, 9, 16, 25, …

The sequence is neither geometric nor arithmetic sequence.

d) 2, 4, 7, 11, 16,

The sequence is neither geometric nor arithmetic sequence.

The sequence 1/2, 1/4, 1/8, 1/16, …. is a geometric sequence, and the 9, 14, 19, 24, … is an arithmetic sequence.

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Answer:

x=23

Step-by-step explanation:

set them equal to each other since its not same sides

these are alternative exterior

8x-77=3x=38

5x=115

x=23

Answer:

23

Step-by-step explanation:

8x-77=3x+38 > 8x=3x+115 > 5x=115 > x=23

Answer:

-1

Step-by-step explanation:

your welcome and ignore my bad writing

Interval should we restrict cosine so as to obtain a one-to-one function, so that the resulting inverse is a function will be 0 ≤ x ≤π.

The standard trig functions repeat themselves means they are periodic. Therefore, multiple input values of the function, the same output value appeaed. This makes inverse functions impossible to construct. To solve equations involving trig functions, it is imperative for inverse functions to exist. Thus, mathematicians have to restrict the trig function to create these inverses.

To define an inverse function, the original function must be one-to-one. For a one-to-one correspondence to exist. (a) each value in the domain must correspond to exactly one value in the range, and (b) each value in the range must correspond to exactly one value in the domain. The second is not but the first restriction is shared by all functions. The sine function, for example, does not satisfy the second restriction, since the same value in the range corresponds to many values in the domain.

Sine function is not one to one. To define the inverse functions for sine and cosine, the domains of these functions are restricted. The restriction that is placed on the domain values of the cosine function is 0 ≤ x ≤ π . This restricted function is called Cosine. Note the capital ^ C deg in Cosine.

Graph of restricted cosine function. The inverse cosine function is defined as the inverse of the restricted Cosine function Cos -1 (cos x) = x ≤ π Therefore

Graph of inverse cosine function.

y = Cos ^ - 1 * x where 0 <= y <= π and - 1 ≤ x ≤1

Identities for the cosine and inverse cosine:

cos(Cos ^ - 1 * x) = x

- 1 ≤ x ≤1

Cos ^ - 1 * (cos x) = x

0 ≤ x ≤π

The inverse sine function's development is similar to that of the cosine. The restriction that is placed on the domain values of the sine function is

- π/2 ≤ x ≤ π/2

Graph of inverse sine function.

- π/2 ≤ x ≤ π/2

The graphs of the functions y = cos x and y = cos - 1 x are reflections of each other about the line y = x The graphs of the functions y = sin x and y = Sin - 1 xare also reflections of each other about the line y = x.

Interval should we restrict cosine so as to obtain a one-to-one function, so that the resulting inverse is a function will be 0 ≤ x ≤π.

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The running time can be represented as either (5+1)c1 + 5(c2+c3+c4) or 6c1 + 5(c2+c3+c4), where c1, c2, c3, and c4 represent different operations. The first equation emphasizes the first operation, while the second equation distributes the repetition evenly.

The running time can be represented as either T = (5+1)c1 + 5(c2+c3+c4) or T = 6c1 + 5(c2+c3+c4).

In the first equation, the term (5+1)c1 represents the time taken by a single operation c1, which is repeated 5 times. The term 5(c2+c3+c4) represents the time taken by three operations c2, c3, and c4, each of which is repeated 5 times. In the second equation, the 6c1 term represents the time taken by a single operation c1, which is repeated 6 times. The term 5(c2+c3+c4) remains the same, representing the time taken by the three operations c2, c3, and c4, each repeated 5 times.

Both equations represent the total running time of a program, but the first equation gives more weight to the first operation c1, repeating it 5 times, while the second equation evenly distributes the repetition among all operations.

Therefore, The running time can be represented as either (5+1)c1 + 5(c2+c3+c4) or 6c1 + 5(c2+c3+c4), where c1, c2, c3, and c4 represent different operations. The first equation emphasizes the first operation, while the second equation distributes the repetition evenly.

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Answer:

2/5 is greater than 3/8, so 25 2/5 is greater

Step-by-step explanation:

Find the least common denominator or LCM of the two denominators:

LCM of 5 and 8 is 40

Next, find the equivalent fraction of both fractional numbers with denominator 40

For the 1st fraction, since 5 × 8 = 40,

2/5

=

2 × 8

5 × 8

=

16/40

Likewise, for the 2nd fraction, since 8 × 5 = 40,

3/8

=

3 × 5

8 × 5

=

15/40

Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction

16/40 > 15/ 40 or 2/5 > 3/8

We can conclude that -

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Given is that the regular price on a pair of jeans is $54. The store advertises a back-to-school sale at 40% off the regular price of the jeans. Two weeks later, the store advertises a sale at an additional off the sale price of these jeans at 5%.

Original price -

$54

Cost after 40% discount -

54 - {40% of 54}

54 - {40/100 x 54}

54 - {2/5 x 54}

54 - 21.6

$32.4

Cost after 5% discount -

32.4 - {5% of 32.4}

32.4 - {5/100 x 32.4}

32.4 - 1.62

$30.78

{ 3 } -

Calculating 60% of new price -

60% of 30.78

(60/100) x 30.78

18.5

Calculating 40% of new price -

40% of 30.78

(40/100) x 30.78

12.4

So, 60% of new price is greater than calculating 40%.

So, Manny is correct.

Therefore, we can conclude that -

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The six-foot long ladder is 3√5 feet high up the wall having 3 feet distance from bottom of the ladder.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. In this case, the ladder is the hypotenuse, and the wall and the ground make up the other two sides.

The ladder is 6 feet long, and the bottom of the ladder is 3 feet away from the wall, so the triangle is a 3-4-5 right triangle, which means the wall is 3 feet high.

So, if we square the length of the ladder (6^2 = 36)

The length of the base (3^2 = 9),

and add them together, then take the square root of that, we get the height of the wall.

sqrt(36+9) = sqrt(45) = 3*sqrt(5)

so the ladder is 3√5 feet high up the wall.

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The equation in slope-intercept form of the line that passes through (6, −1) and (3, −7) is:y = 2x − 13.

To write an equation in slope-intercept form of the line that passes through (6, −1) and (3, −7), you will use the point-slope form, as follows:

y − y1 = m(x − x1),

where:

m = slope (or gradient) of the line, and

(x1, y1) = the coordinates of a point on the line.

Let us calculate the slope (gradient) of the line using the given points:

(6, −1) and (3, −7).

m = (y2 − y1)/(x2 − x1)

m = (−7 − (−1))/(3 − 6)

= −6/−3

= 2

Thus, the slope of the line is 2.

Using the coordinates of one of the points, say (6, −1), in the point-slope form, we obtain:

y − y1 = m(x − x1)y − (−1)

= 2(x − 6)y + 1

= 2x − 12

Subtracting 1 from both sides, we get:

y = 2x − 13

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The Area of the given figure is 22 unit square.

The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.

Area is measured in square units like cm² and m². Area of a shape is a two dimensional quantity.

Given:

We have given the figure.

Then, we will count the boxes the area will be

= 2 x (1/2 + 2/3 + 1/3 + 1/2 + 1 + 2/3 + 1 + 1 + 1 + 1 + 1 + 1/2 + 1/2 + 1/3)

= 2 x (4/2 + 6/3 + 6)

= 2 x (2 + 3 + 6)

= 2 x (11)

= 22 unit square.

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Answer:

the answer is b

Step-by-step explanation:

It is 1/10 probable that two consecutive jellybeans will be red.

Simply put, the probability is the probability that something will occur. When we don't know how an event will turn out, we can discuss the probability or likelihood of several outcomes.

Biostatistics is the analysis of events that match a probability distribution.

So, the likelihood of receiving a red jellybean in two of the three trials will help you determine the likelihood of two jellybeans being red.

Keep in mind that you will require a likelihood of not turning red in one try.

1 - 4/10 (getting a red)

2 - 3/9 (getting a red)

3 - 6/8 (not getting a red)

The solution remains the same regardless of the order:

1 - 6/10 (not getting a red)

2 - 4/9 (getting a red)

3 - 3/8 (getting a red)

Add these up to calculate the likelihood:

4/10 x 3/9 x 6/8 = 1/10

Therefore, it is 1/10 probable that two consecutive jellybeans will be red.

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When Kp = 1.00 at 300K, for X(g) + Y(g) <==> Z(g), where [X] = [Y] = [Z] = 1.0 M, the reaction is in equilibrium.

Therefore the answer is c)  reaction is at equilibrium.

Given the equilibrium constant Kp = 1.00 at 300K, this means that the reaction is already at equilibrium. Therefore, the net reaction will not proceed in any direction. The concentration of all the species X, Y, and Z in the reaction mixture will remain constant. So the answer is [c] reaction is at equilibrium.

It's important to note that the equilibrium constant Kp is the product of the concentration of the products raised to their stoichiometric coefficients divided by the product of the concentration of the reactants raised to their stoichiometric coefficients.

When Kp = 1, it means that the product of the concentrations of the products raised to their stoichiometric coefficients is equal to the product of the concentrations of the reactants raised to their stoichiometric coefficients. Therefore, the reaction is at equilibrium.

--The question is incomplete, answering to the question below--

"In which direction will the net reaction proceed.

X(g) + Y(g) <==> Z(g) … Kp = 1.00 at 300k

for each of these sets of initial conditions?

A) [X] = [Y] = [Z] = 1.0 M

[a] net reaction goes to the left [this one?]

[b] net reaction goes to the right

[c] reaction is at equilibrium"

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A vector space, or linear space, is a set of objects called vectors that are added and multiplied ("scaled") by numbers called scalars.

We claimed that set of all points in R² lying on a line is a vector space with respect to the standard operations of vector addition and scalar multiplication if and only if the line passes through the origin i.e c = 0 .

Vector spaces must be closed under addition and scalar multiplication.

closed in addition -: if vectors v and w are in the space, so is v+w also in space.

closed in scalar multiplication :- if vector v is in the space, so is rv∈V, where r is a real number.

a) An equation of a line in R² is ax + by = c.

Let (x₁,y₁) and (x₂,y₂) be 2 points on the line and r be a real number.

Then ax₁+ by₁= c and ax₂+ by₂= c so, we have vectors v = [x₁, y₁] and w = [x₂, y₂]

add them v+w = [x₁+x₂,y₁+y₂]

The coordinates of the vector must satisfy

ax+by=c so, a(x₁+x₂) + b(y₁+y₂) = c

But if we add ax₁+by₁ = c and ax₂+by₂ = c we get a(x₁+x₂)+b(y₁+y₂) = 2c

Thus 2c = c or c=0.

Now, rv = [rx₁, ry₁]

The coordinates of the vector must satisfy ax+by=c so, a(rx₁) + b(ry₁) = c

But if we multiply ax₁+by₁= c by r we get arx₁+bry₁= rc

=> rc = c or c=0.

Thus, it is a vector space if and only if c=0. Thus our line is ax+by=0, a line which passes through the origin.

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Answer:

B. 1tbsp

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I tbsp is always larger than 1tsp

The amplitude of the function f(x) = sin(5x) is 1

From the question, we have the following parameters that can be used in our computation:

f(x) = sin(5x)

A sinusoidal function is represented as

f(x) = Asin(B(x + C)) + D

Where

Amplitude = A

Period = 2π/B

So, we have

A = 1

Period = 2π/5

Evaluate

A = 1

Period = 2π/5

Hence, the amplitude is 1

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The correct answer using the correct number of significant figures is 21.9.

To determine the correct answer with the appropriate number of significant figures, we need to consider the rules for significant figures.cThe result should be rounded to the fewest number of decimal places in any of the supplied integers whether adding or subtracting numbers.

In this case, the numbers being added have varying decimal places. 13.7 has one decimal place, 0.027 has three decimal places, and 8.221 has three decimal places.

To add these numbers, we align the decimal points and sum the values: 13.7 + 0.027 + 8.221 ------- 21.948

To follow the rule for significant figures, the least number of decimal places is one (from 13.7).

Therefore, the answer should be rounded to one decimal place.

Hence, the correct answer using the correct number of significant figures is 21.9.

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The total number of white tiles that Paul used is 54

From the question, we have the following parameters that can be used in our computation:

Length of the entire floor = 9 feet

Width of the entire floor = 12 feet

The total number of white tiles used is calculated as

Total number of white tiles used = Length of the entire floor * Width of the entire floor/2ft²

Substitute the known values in the above equation, so, we have the following representation

Total number of white tiles used = 9ft * 12ft/2ft²

Evaluate

Total number of white tiles used = 54

Hence, the white tiles are 54

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