HELP QUICK choose the equation that represents the graph below

Explanation:-

★(i).

A = { 1,2}

⇛ n (A ) = 2

B = { 3,4,5,6}

⇛ n (B) = 4

n(A)+n(B) = 2+4 = 6

★(ii).

The symbol ⇛ means Implies

★(iii).

A = Phi = {}

B = phi = {}

AUB = { } U { } = { }

AUB = phi = { }

(iv).

AUB = BUA is called Commutative law in sets uner union .

★(v).

Null set = Void set = Empty set = { }

Number of elements in the empty set = 0

⇛ Cardinal number of null set is zero (0)

★(vi). If AUB = B then B is the super set and A is the sub set of B

★(vii). A = { 1,2,3,4}

B = {2,4,6,8}

A-B = {1,2,3,4} - { 2,4,6,8}

=> A-B = { 1,3}

★(viii). n(AUB) = 8

n(A) = 6

n(B) = 4

We know that

n(AnB) = n(A)+n(B)-n(AUB)

⇛ n(AnB) = 6+4-8

⇛n(AnB) = 10-8

⇛ n(AnB) = 2

or n(AUB)+n(AnB) = n(A)+n(B)

⇛ 8+ n(AnB) = 6+4

⇛ 8+ n(AnB) =10

⇛ n(AnB) = 10-8

⇛ n(AnB) = 2

Therefore, n(AnB) = 2

A flow network with supplies is a directed capacitated graph where each edge has a capacity indicating the maximum flow that can pass through it. The flow in the network represents the movement of a certain resource (e.g., water, electricity, goods) from sources to sinks.

In a flow network with supplies, there may be multiple sources, which are nodes that generate the resource and have outgoing edges, and multiple sinks, which are nodes that consume the resource and have incoming edges.

The sources and sinks can have different supply or demand values, indicating the amount of resource they generate or consume.

The edges in the flow network have capacities that restrict the maximum flow that can pass through them. The capacity represents the limit on the amount of resource that can traverse the edge. The flow through an edge cannot exceed its capacity.

The objective in a flow network is to determine the maximum flow that can be sent from sources to sinks while respecting the capacities of the edges. This is typically solved using algorithms such as the Ford-Fulkerson algorithm or the Edmonds-Karp algorithm.

The concept of a flow network with supplies is important in various applications, such as transportation networks, communication networks, and supply chain management, where resources need to be efficiently distributed from multiple sources to multiple sinks, taking into account the capacity constraints of the network.

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Answer: 112.5

Step-by-step explanation: When line AB and CD intersect at point E, angle AEC equals BED so you set them equal to each other and find what x is. 5x -20 = x + 50, solving for x, which gives you 17.5. Finding x will tell you what AEC and BED by plugging it in which is 67.5. Angle BED and BEC are supplementary angles which adds up to 180 degrees. So to find angle CEB, subtract 67.5 from 180 and you get 112.5 degrees.

Answer:

y=2-4x

Step-by-step explanation:

move 4X to the other side and change the sign from plus to mines

Answer:

y = -4x + 2

Step-by-step explanation:

\(4x+y=2\\\\4x-4x+y=2-4x\\\\y=2-4x\\\\\boxed{y=-4x+2}\)

Hope this helps.

The cross sectional area of the cargo trailer floor, which is a composite figure consisting of a square and an isosceles triangle, indicates that the volume of the inside of the trailer is about 3,952 ft³.

A composite figure is a figure comprising of two or more regular figures.

The possible cross section of the trailer, obtained from a similar question on the internet, includes a composite figure, which includes a rectangle and an isosceles triangle.

Please find attached the cross section of the Cargo Trailer Floor created with MS Word.

The dimensions of the rectangle are; Width = 6 ft, length = 10 ft

The dimensions of the triangle are; Base length 6 ft, leg length = 4 ft

Height of the triangular cross section = √(4² - (6/2)²) = √(7)

The cross sectional area of the trailer, A = 6 × 10 + (1/2) × 6 × √(7)

A = 60 + 3·√7

Volume of the trailer, V = Cross sectional area × Height

V = (60 + 3·√7) × 6.5 = 3900 + 19.5·√7

Volume of the trailer = (3,900 + 19.5·√(7)) ft³ ≈ 3952 ft³

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Answer:

The answers are It is a quadrilateral and Both pairs of opposite sides are parallel.

Hope this helps.

Answer:

25

Step-by-step explanation:

brainliest please!

Definite integral ∫(0 to √6) f(x) dx using Simpson's rule is less than 0.00001, we need to calculate the error formula for Simpson's rule and iterate over different values of n until the error estimate satisfies the given condition.

Simpson's rule is a numerical method used for approximating definite integrals. The error estimate for Simpson's rule is given by the formula:

\(E = -((b - a)^5 / (180 * n^4)) * f''(c)\)

Where E represents the error estimate, (b - a) is the interval length (in this case, √6 - 0 = √6), n is the number of subintervals, f''(c) is the second derivative of the function evaluated at a point c within the interval.

To find the smallest n for which the error estimate is less than 0.00001, we can start by choosing an arbitrary value of n, calculating the error estimate using the given formula, and then checking if it is smaller than the desired tolerance. If it is not, we increase the value of n and recalculate the error estimate until it meets the condition.

By iteratively increasing the value of n and calculating the error estimate, we can determine the smallest value of n for which the error estimate in the approximation of the definite integral satisfies the condition of being less than 0.00001.

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The stochastic or random disturbance in the regression model represents the errors of measurement in the data.

These errors can arise due to various factors such as measurement errors, unobserved variables, omitted variables, and other factors that introduce randomness into the relationship between the dependent variable (Y) and the independent variable (X). Therefore, the random disturbance term captures the unexplained variation in the relationship that is not accounted for by the model.

In a regression model, the goal is to estimate the relationship between a dependent variable (Y) and one or more independent variables (X). However, due to various factors, the observed data may not perfectly capture this relationship. These factors can include errors of measurement, unobserved variables, omitted variables, and other sources of randomness.

Measurement errors occur when there is imprecision or inaccuracy in the measurement of the variables. For example, instruments used to collect data may have limitations or human errors may occur during the data collection process. These errors can introduce randomness into the observed data, causing discrepancies between the true values and the measured values.

Unobserved variables refer to factors that are not directly included in the regression model but still influence the dependent variable. These variables may have an impact on the relationship between Y and X, but they are not accounted for in the model. As a result, their effects are captured by the random disturbance term.

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The average cost to rent a full-size car is $64.25 per day, and the standard deviation for this population is $5.20. We are assuming that the rental cost follows a normal probability distribution.

To find the probability of a rental cost falling within a certain range, we can use the properties of the normal distribution.

Let's say we want to find the probability of a rental cost being between $60 and $70 per day. We can convert these values into z-scores using the formula z = (x - μ) / σ, where x is the value we want to find the probability for, μ is the mean, and σ is the standard deviation.

For $60 per day: z = (60 - 64.25) / 5.20 = -0.81
For $70 per day: z = (70 - 64.25) / 5.20 = 1.10

Now, we can use a z-table or a calculator to find the probabilities associated with these z-scores. We find that the z-score of -0.81 corresponds to a probability of 0.2090, and the z-score of 1.10 corresponds to a probability of 0.8643.

To find the probability of a rental cost falling between $60 and $70 per day, we subtract the probability associated with the lower z-score from the probability associated with the higher z-score: 0.8643 - 0.2090 = 0.6553.

Therefore, the probability of a rental cost being between $60 and $70 per day is 0.6553, or 65.53%.

Using the properties of the normal distribution, we can calculate the probability of a rental cost falling within a certain range by converting the values into z-scores and referring to a z-table or calculator.

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3. With the income tax rates, the number of hours that must be worked to pay the rent each month is 85 hours.

4. The minimum realized income value is obtained as $1002.09 per month.

What is income tax?

A tax levied against people or organizations (taxpayers) in relation to their income or profits is known as an income tax. (commonly called taxable income). Tax rates multiplied by taxable income are typically used to calculate income taxes. Tax rates might change depending on the taxpayer's attributes and source of income.

To determine how many hours must be worked to pay the monthly rent of $875, we need to calculate the amount of net pay earned per hour after taxes and deductions.

The net pay earned per hour can be calculated as -

Net pay per hour = Hourly wage - (Hourly wage × Total tax rate)

where Total tax rate is the sum of all the tax deductions, i.e., FICA of 7.65%, federal tax withholding of 10%, and state tax withholding of 7.5%.

Total tax rate = 0.0765 + 0.1 + 0.075 = 0.2515

Net pay per hour = $13.75 - ($13.75 × 0.2515) = $10.26 (rounded to two decimal places)

To find how many hours must be worked to pay the rent, we can divide the monthly rent by the net pay per hour -

Hours worked to pay rent = Monthly rent / Net pay per hour

Hours worked to pay rent = $875 / $10.26

Hours worked to pay rent = 85.14

So, it would take approximately 85.14 hours (rounded up to the nearest whole number) to earn enough money to pay the rent for the month.

Therefore, the answer is 85 hours.

Assuming the same tax deductions as in the previous question (FICA of 7.65%, federal tax withholding of 10%, and state tax withholding of 7.5%), we can find the minimum realized income needed to pay the rent by using the following formula -

Minimum realized income = Rent / (1 - Total tax rate)

where Total tax rate = FICA + federal tax withholding + state tax withholding.

Plugging in the given values, we get -

Total tax rate = 0.0765 + 0.1 + 0.075 = 0.2515

Minimum realized income = 750 / (1 - 0.2515) = 1002.09

Therefore, the minimum realized income needed to pay the rent is $1002.09 per month.

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The given program aims to determine if the number is even or odd. The program begins by defining a function called is_even with the parameter num.

The function has two conditions: if the num is equal to 0, then even will be set to true, and if not, even will be set to false.Then, the program calls the function is_even(7) with 7 as an argument, which means it will check if the number 7 is even or not. It is important to note that the value of even is only available inside the function, so it cannot be accessed from outside the function.In this scenario, when the program tries to print the value of even, it will return an error since even is only defined inside the is_even function. The code has no global variable called even. Thus, the code will return an error.In conclusion, the given program will raise an error when it is executed since the even variable is only defined inside the is_even function, and it cannot be accessed from outside the function.The given Python ode cheks whether a number is even or odd. The program defines a function called is_even with the parameter num, which accepts an integer as input. If the num is 0, the even variable will be set to True, indicating that the number is even. Otherwise, the even variable will be set to False, indicating that the number is odd.The function does not return any value. Instead, it defines a local variable called even that is only available within the function. The variable is not accessible from outside the function.After defining the is_even function, the program calls it with the argument 7. The function determines that 7 is not even and sets the even variable to False. However, since the variable is only available within the function, it cannot be printed from outside the function.When the program tries to print the value of even, it raises a NameError, indicating that even is not defined. This error occurs because even is only defined within the is_even function and not in the global scope. Thus, the code has no global variable called even.

The output of the code is an error since the even variable is only defined within the is_even function. The function does not return any value, and the even variable is not accessible from outside the function. When the program tries to print the value of even, it raises a NameError, indicating that even is not defined.

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Answer:

True. Brainlyest plz

Answer:

The difference in the areas of the cross-sections is 20 m².

Step-by-step explanation:

^^^

Answer:

48^2 =2304 < 2345 < 2401 = 49^2

=> Smallest number should be: 2401 - 2345 = 56

Hope this helps!

:)

Answer:

56

Step-by-step explanation:

sqrt(2345) = 48.425...

Nearest integer is 49

So, the nearest perfect is 49²

49² = 2401

To be added:

2401 - 2345

56

The work done on a particle moving uniformly around the unit circle centered at the origin under a constant force field, f(x, y), is zero.

When a particle moves in a closed path, like a circle, the net work done by a conservative force field is always zero. In this case, the force field is constant, which means it does not change as the particle moves along the path. Since the work done by a constant force is given by the formula W = F * d * cos(θ), where F is the force, d is the displacement, and θ is the angle between the force and the displacement vectors, we can see that the cosine of the angle will always be zero when the particle moves along the unit circle centered at the origin. This implies that the work done is zero. Thus, the work done on the particle is zero.

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Jerry's cost of going to college is $29,000.

Jerry's cost of going to college is $29,000. The cost of going to college is a major concern for many students. As a result, making a sound financial plan is essential when considering post-secondary education. It is important to weigh the costs of going to college against the benefits of obtaining a degree. Jerry has to make a choice between going to college or working in a store. If he chooses to go to college, he will have to spend $15,000 on tuition, $12,000 on room and board, and $2,000 on books. Therefore, his total cost of attending college is

$29,000 ($15,000 + $12,000 + $2,000).

If he decides not to go to college, Jerry will earn $27,000 by working in a store and spend $10,000 on room and board. By adding up his earnings and expenses, he will have a total of

$17,000 ($27,000 - $10,000)

In this case, it is less expensive for Jerry not to go to college. He will have $12,000 more in his pocket ($17,000 - $29,000) if he does not go to college. Therefore, Jerry's cost of going to college is $29,000.

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Answer:

9

Step-by-step explanation:

4-x = 5(16-x)

44-x = 80-5x

4x = 36

x = 9

The dimensions of the rectangle is 25m × 25m.

Two dimensions make up a rectangle: the length and, perpendicular to that, the breadth.

The three dimensions of a three-dimensional shape are length, width, and depth.

It is given that

Perimeter of the rectangle = 100m

Area is as large as possible if both the values are the same number.

The measurements must be equivalent for the rectangle to attain its maximum area.

Consider the dimensions as x

So perimeter can be written as

2 (x + x) = 100

2 (2x) = 100

By additional computation

4x = 100

Divide both sides by 4

x = 25

Therefore, the dimensions of a rectangle is 25m × 25m.

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Answer:

23

Step-by-step explanation:

3/4 has 3  of 1/4 pieces.

5 has 20 of 1/4 pieces.

The number of pieces of 1/4 in 5 3/4 is 23 pieces

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of pieces be = A

Let the number be = 1/4

Now , the number of pieces of 1/4 in 5 3/4 is calculated as

The number 5 3/4 is converted into mixed fraction is 23/4

So , the equation is

The number of pieces of 1/4 x n = 23 / 4

So , the equation will be

n x 1/4 = 23 / 4   be equation (1)

Multiply by 4 on both sides , we get

n = 23 pieces

Therefore , the number of pieces 1/4 is in 5 3/4 is 23 pieces

Hence , The number of pieces of 1/4 in 5 3/4 is 23 pieces

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Answer:

25/64

Step-by-step explanation:

To get this answer, first you need to use the distributive property:

(-3/8)(-5/8) - (1/4)(-5/8)

Next, multiply:

15/64 - (-5/32)

Change the negative signs into a positive sign:

15/64 + 5/32

Multiply 5/32 by 2 on both top and bottom:

15/64 + (5)(2)/(32)(2)

You will then get:

15/64 + 10/64

Now, add the numerators. You will get:

25/64

This is your answer. I hope it helped!

Option A. AA Similarity Postulate. The AA Similarity Postulate is a geometric principle that states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

This means that their corresponding sides are in proportion, and the triangles have the same shape, but not necessarily the same size. This postulate is one of the ways to prove the similarity of two triangles. In the case of the given question, if we know that two angles of one triangle are congruent to the two angles of another triangle, then we can use the AA Similarity Postulate to prove that the triangles are similar. This principle is widely used in geometry and helps to establish relationships between different shapes and figures.

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Answer:

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

Step-by-step explanation:

\(= -6/12+9/12+3/12\)

\(=\frac{-6}{12}+\frac{9}{12}+\frac{3}{12}\)

\(=\frac{-6+9+3}{12}\)

\(=\frac{6}{12}\)

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

Answer:

1/2

Step-by-step explanation:

Words words words words

The eigenvalues of the coefficient matrix are λ1 = 9 and λ2 = -8, and the corresponding eigenvectors are v1 = [2, 1] and v2 = [1, 3], respectively.

To find the eigenvalues and eigenvectors of the coefficient matrix, we will solve the characteristic equation:

det(A - λI) = 0

where A is the coefficient matrix, λ is the eigenvalue, and I is the identity matrix of the same size as A.

In this case, the coefficient matrix is:

A =

[ 10 -6 ]

[ 12 -8 ]

So, we have:

det(A - λI) =

| 10 - λ -6 |

| 12 -8 - λ |

= (10 - λ)(-8 - λ) - (-6)(12)

= λ^2 - 2λ - 72

= (λ - 9)(λ + 8)

So the eigenvalues are λ1 = 9 and λ2 = -8.

To find the eigenvectors, we will solve for the null space of each matrix A - λI for each eigenvalue.

For λ1 = 9, we have:

(A - 9I)x = 0

where I is the 2x2 identity matrix and x is the eigenvector. This gives us:

| 1 -6 |

| 12 -17 || x1 | | 0 |

|| x2 | = | 0 |

Solving the system of linear equations, we get:

x1 = 2

x2 = 1

Therefore, the eigenvector corresponding to λ1 = 9 is:

v1 =

[ 2 ]

[ 1 ]

Similarly, for λ2 = -8, we have:

(A + 8I)x = 0

which gives us:

| 18 -6 |

| 12 0 || x1 | | 0 |

|| x2 | = | 0 |

Solving the system of linear equations, we get:

x1 = 1

x2 = 3

Therefore, the eigenvector corresponding to λ2 = -8 is:

v2 =

[ 1 ]

[ 3 ]

So the eigenvalues of the coefficient matrix are λ1 = 9 and λ2 = -8, and the corresponding eigenvectors are v1 = [2, 1] and v2 = [1, 3], respectively.

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Answer:

m<8 = m<2, both are equal since they are alternate exterior angles.

m<2 = 55° given, so m<8 = 55°

Answered by GAUTHMATH

The option that describes the end behavior of the graph of the square root function with coordinates (-3, 0), (0, 3), (2, 4), and (5, 5), is the option;

C. As x decreases in value, y decreases in value. As x increases in value, y increases in value.

The given coordinates on the graph are;

(-3, 0), (0, 3), (2, 4), and (5, 5)

The coordinates of the starting point of the graph = (-3, 0)

Shape of the graph = Extends from point (-3, 0), upwards and to the right

Therefore;

As the x-value increases, the y-value increases and vice versa, with, x increasing faster than y.

However, given that the graph is for a square root function, the correct option is option C;

C. As x decreases in value, y decreases in value. As x increases in value, y increases in value.

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The estimate of the mean length of the insects Ciara found is 17 millimeters (mm).

To calculate an estimate of the mean length of the insects Ciara found, we need to find the weighted average of the lengths using the given frequencies.

Let's denote the lower limits of the length intervals as L1 = 0, L2 = 10, and L3 = 20.

Similarly, denote the upper limits as U1 = 10, U2 = 20, and U3 = 30.

Next, we calculate the midpoints of each interval by taking the average of the lower and upper limits.

The midpoints are M1 = (L1 + U1) / 2 = 5, M2 = (L2 + U2) / 2 = 15, and M3 = (L3 + U3) / 2 = 25.

Now, we can calculate the sum of the products of the frequencies and the corresponding midpoints.

This gives us (5 \(\times\) 5) + (6 \(\times\) 15) + (9 \(\times\) 25) = 25 + 90 + 225 = 340.

Next, we calculate the sum of the frequencies, which is 5 + 6 + 9 = 20.

Finally, we divide the sum of the products by the sum of the frequencies to find the weighted average, which is 340 / 20 = 17.

Therefore, the estimate of the mean length of the insects Ciara found is 17 millimeters (mm).

Thus, the mean length of the insects Ciara found is approximately 17 millimeters (mm).

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