the stream function for a two dimension, nonviscous, incompressible flow field is given by the expression where the stream function has the units of ft^2/s with x and y in feet. is the continuity equation satisfied? g

Answers

Answer 1

The continuity equation is satisfied and the flow is incompressible.

To check if the continuity equation is satisfied, we need to take the partial derivatives of the stream function with respect to x and y and see if they satisfy the continuity equation

Continuity equation: ∂u/∂x + ∂v/∂y = 0

where u and v are the x and y components of the velocity field, respectively.

From the definition of the stream function, we have

u = ∂Ψ/∂y = -2

v = -∂Ψ/∂x = -(-2) = 2

Taking the partial derivatives of u and v with respect to x and y, we have

∂u/∂x = 0, ∂v/∂y = 0

Substituting these values into the continuity equation, we get

∂u/∂x + ∂v/∂y = 0 + 0 = 0

Since the continuity equation is satisfied (resulted in zero), the flow is incompressible.

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The given question is incomplete, the complete question is:

The stream function for a two-dimensional, nonviscous, incompressible flow field is given by Psi = -2(x-y) where the stream function has the units of ft^2/s with x and y in feet. (a) Is the continuity equation satisfied?


Related Questions

how to send kred to a krew member

Answers

To send Kred to a Krew member, you can follow the steps provided by the Kred platform. These steps typically involve accessing your Kred account, selecting the desired recipient, specifying the amount of Kred to send, and confirming the transaction.

Sending Kred to a Krew member usually requires using the features and functionalities provided by the specific Kred platform or service. The process may vary depending on the platform, so it is recommended to refer to the official documentation or guidelines provided by the platform. Typically, you would need to log in to your Kred account, navigate to the appropriate section for sending Kred, select the intended recipient from the list of Krew members, enter the desired amount of Kred to send, review the transaction details, and confirm the transfer. The platform may also offer additional options or settings for customizing the transfer process.

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Alice weighs 20 dogs and 20 cats. The mean weight for the dogs is 32kg and the mean weight for cats is 4kg. The range in weight for dogs is 45kg and the range in weight for cats is 0.5kg. State two conclusions you can draw from this information.

PLEASE HELP

Answers

Answer:

1. Dogs are generally heavier than the cats.

2. The dogs have a much larger variety in their weights and size than cats.

Step-by-step explanation:

Chelsea shows her work in finding the solution to 4x−5=2 3(x−3). after checking her answer in the original equation, she found that it did not work. where did she make a mistake?

Answers

Chelsea made a mistake in simplifying the equation 3(x-3). To find the solution to 4x-5=2(3(x-3)), we first simplify the expression inside the parentheses.

Now, to isolate the variable x, we need to move the terms with x to one side of the equation. Let's subtract 4x from both sides, which gives us -5-4x=6x-18-4x. Simplifying this, we get -5-4x=2x-18.

Next, let's move the constant terms to the other side. Adding 18 to both sides, we get -5-4x+18=2x-18+18. Simplifying this, we get -4x+13=2x.

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Chelsea made a mistake when subtracting the variable term from both sides. By identifying this error and correctly following the steps, we find that the solution to the equation 4x - 5 = 2 3(x - 3) is x = -7.

Chelsea made a mistake in her work when finding the solution to the equation 4x - 5 = 2 3(x - 3). To determine where she went wrong, let's analyze her steps.

Step 1: Distribute 3 to (x - 3): 4x - 5 = 2 3x - 6.
Step 2: Combine like terms: 4x - 5 = 6x - 12.
Step 3: Move the variables to one side and the constants to the other side. Chelsea may have mistakenly subtracted 4x from both sides instead of 6x. This would result in: -5 = 2x - 12.
Step 4: Solve for x. Chelsea may have then incorrectly added 12 to both sides instead of adding 5, leading to: 7 = 2x.
Step 5: Divide both sides by 2: x = 7/2.

Upon reviewing her work, Chelsea should have subtracted 6x from both sides in Step 3, not 4x. This would have resulted in the equation 2x - 5 = -12. Correctly following the steps would lead to the correct solution: x = -7.

Therefore, Chelsea made a mistake when subtracting the variable term from both sides. By identifying this error and correctly following the steps, we find that the solution to the equation 4x - 5 = 2 3(x - 3) is x = -7.

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What is the difference between repressed and recovered memories?

Answers

Recovered memory in CSA refers to the new development of abusive memories. Repressed memory is when the patient believes the CSA occurred, even though they have no specific memory of the event.

Recovered memory:

The term "recovered memory" implies that at some point the memory must become inaccessible to conscious awareness (as opposed to "continuous memory"). Although the term is not ideal, it is clear that people often fail to report important events, such as known hospitalizations (Loftus, 1993). In 1995, the debate over reclaiming memory was near its most violent climax. Hundreds of people have recovered memories of child sexual abuse (CSA), and sometimes in therapy it is thought that repressed or dissociative memories need to be recovered for a person to 'heal'.

Repressed Memory:

Repressed memory is a purported psychiatric phenomenon involving the inability to recall autobiographical information, usually traumatic or stressful. The concept has its origins in psychoanalytic theory, where repression is understood as a defense mechanism that keeps painful experiences and unacceptable impulses out of awareness. Repressed memory is a controversial concept, especially in a legal context, where it is used to unjustly and inaccurately accuse individuals, causing significant harm. Meanwhile, a working group from the American Psychological Association has stated that while "most people who were sexually abused in childhood remember some or all of what happened to them, it is possible to remember long-forgotten abuses.

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the cost of popcorn is $2.50 for each bag-

the cost of popcorn is $2.50 for each bag-

Answers

Answer:

proportional.

Step-by-step explanation:

Answer:

proportional

Step-by-step explanation:

Which expression is equivalent to cos (62)?

Answers

Answer:

The trigonometric value is equal to cos 62° is sin 28°

Compare the data from the experiment to the public opinion poll. How does the data collected compare to the media source? Describe the trends in the data and compare the theoretical probability to the empirical probability.

Answers

Comparing experiment data to public opinion polls helps evaluate media accuracy, detect biases, and understand the influence on public opinion, while describing data trends and comparing theoretical and empirical probabilities aids in making informed decisions.

Data from an experiment and a public opinion poll have distinct characteristics. Experiment data is obtained through controlled studies, measuring the effects of a variable on another variable. Public opinion polls, however, rely on subjective input from individuals to gauge public sentiment. While both types of data have their significance, comparing the collected data to media sources helps assess accuracy, detect biases, and understand the media's influence on public opinion. Describing trends in the data involves identifying patterns or movements over time, while comparing theoretical probability (calculated mathematically) to empirical probability (based on observed data) aids in understanding likelihoods. These evaluations contribute to obtaining reliable and unbiased data for informed decision-making.

In conclusion, comparing the data collected from experiments to public opinion polls allows for the assessment of media accuracy and biases, while analyzing data trends and comparing theoretical and empirical probabilities provides valuable insights for decision-making.

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It takes 32 minutes for 3 people to paint 4walls. How many minutes does it take 4 people to paint 7 walls?

Answers

Answer:

42 minutes

Step-by-step explanation:

6x7=42

Answer:

1) 3 people do 4 walls in 32 minutes

We make the assumptions that all people work at the same rate and each person starts and finishes at the same time. Since there are 3 people, each person does 1/3 of the total work. Therefore each person finishes their portion of the job in 32 minutes

2) 3 * 1/3 = 1 person does 4 * 1/3 = 4/3 walls in 32 minutes

The unit rate (the rate for 1 person to do 1 wall) is as follows

3) 1 person does 4/3 * 3/4 = 1 wall in 32 * 3/4 = 24 minutes

Since we need 4 people to do 7 walls then 1 person needs to do 1/4 of the work. So the following is true

4) 4 * 1/4 = 1 person does 7 * 1/4 = 7/4 wall

As we said before in #3

1 person does 1 wall in 24 minutes

So we conclude

5) 1 person does 1 * 7/4 = 7/4 walls in 24 * 7/4 = 42 minutes

And finally

6) 1 * 4 = 4 people do 7/4 * 4 = 7 walls in 42 minutes

What is the measure of a vertex angle of a triangle if the base angle measures 38° and two congruent sides each measure 42 units?

Answers

Answer:

Bearing in the mind that an ossicle triangle has twin sides and coming out of the vertex they make twin angles at the base check the picture out

Step-by-step explanation:

Same way with 42

What is the measure of a vertex angle of a triangle if the base angle measures 38 and two congruent sides

Every person has blood type O, A, B, or AB. A random group of people are blood-typed, and the results are shown in the table.



A 2-column table with 4 rows is shown. The first column is labeled Blood Type with entries O, A, B, AB. The second column is labeled Number of People with entries 22, 20, 6, 2.

Use the table to determine the following probabilities.

The probability that a randomly chosen person from this group has type B is
.

The probability that a randomly chosen person from this group has type AB is
.

The probability that a randomly chosen person from this group has type B or type AB blood is

Answers

Answer:

12%

Step-by-step explanation:

\(P=\frac{6}{22+20+6+2} =.12\)

1. (5 pts) The (per hour) production function for bottles of coca-cola is q=1000K L

, where K is the number of machines and L is the number of machine supervisors. a. (2 pts) What is the RTS of the isoquant for production level q? [Use the following convention: K is expressed as a function of L b. (1 pt) Imagine the cost of operating capital is $40 per machine per hour, and labor wages are $20/ hour. What is the ratio of labor to capital cost? c. (2 pts) How much K and L should the company use to produce q units per hour at minimal cost (i.e. what is the expansion path of the firm)? What is the corresponding total cost function?

Answers

The RTS of the isoquant is 1000K, indicating the rate at which labor can be substituted for capital while maintaining constant production. The labor to capital cost ratio is 0.5. To minimize the cost of producing q units per hour, the specific value of q is needed to find the optimal combination of K and L along the expansion path, represented by the cost function C(K, L) = 40K + 20L.

The RTS (Rate of Technical Substitution) measures the rate at which one input can be substituted for another while keeping the production level constant. To determine the RTS, we need to calculate the derivative of the production function with respect to L, holding q constant.

Given the production function q = 1000KL, we can differentiate it with respect to L:

d(q)/d(L) = 1000K

Therefore, the RTS of the isoquant for production level q is 1000K.

The ratio of labor to capital cost can be calculated by dividing the labor cost by the capital cost.

Labor cost = $20/hour

Capital cost = $40/machine/hour

Ratio of labor to capital cost = Labor cost / Capital cost

                              = $20/hour / $40/machine/hour

                              = 0.5

The ratio of labor to capital cost is 0.5.

To find the combination of K and L that minimizes the cost of producing q units per hour, we need to set up the cost function and take its derivative with respect to both K and L.

Let C(K, L) be the total cost function.

The cost of capital is $40 per machine per hour, and the cost of labor is $20 per hour. Therefore, the total cost function can be expressed as:

C(K, L) = 40K + 20L

To produce q units per hour at minimal cost, we need to find the values of K and L that minimize the total cost function while satisfying the production constraint q = 1000KL.

The expansion path of the firm represents the combinations of K and L that minimize the cost at different production levels q.

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\((cos^{2} x-sin^{2}x)^{2} -sin4x+sin^{2}2x=0\)

Answers

Answer:

x=22.5°

Step-by-step explanation:

(cos²x-sin²x)-sin4x+sin²2x=0

or, (cos2x)²-sin4x+sin²2x=0

or, cos²2x+sin²2x-sin4x=0

or, 1-sin4x=0

or, sin4x=1

or, 4x=90°

or, x=90°/4

or, x=22.5°

n a car factory, 6 machines can make 6 wheels in 6 minutes. How long will it take 30 machines to make 30 wheels?

Answers

Answer:

If 6 machines make 6 wheels in 6 minutes, that means each of the machines must make 1  wheel in 6 minutes.  If you now consider 30 machines, and we know each of these 30 machines makes 1 wheel in  6 minutes, that means all 30 machines will make 30 wheels in 6 minutes.

Step-by-step explanation:

Please answer this for me correctly. THANK YOU!!

Please answer this for me correctly. THANK YOU!!

Answers

Answer:

45

Hope this helps!

a discus thrower accelerates a discus from rest to a speed of 24.3 m/s by whirling it through 1.26 rev. assume the discus moves on the arc of a circle 1.03 m in radius.

Answers

The discus thrower accelerates the discus to a speed of 8.12 m/s in a time of 0.094 s.

What is acceleration?

Acceleration is the rate at which an object changes its velocity with respect to time. In other words, it is the measure of how quickly the speed or direction of an object changes.

The final angular velocity of the discus is given by:

\($\omega_f = \dfrac{1.26 \cdot 2\pi}{time\ taken}$\)

The linear velocity of the discus is given by:

\($v = \omega \cdot r$\)

The final angular velocity of the discus is given by:

\($\omega_f = \dfrac{1.26 \cdot 2\pi}{t} = 7.89 \text{ rad/s}$\)

The angular acceleration of the discus is given by:

\($\alpha = \dfrac{2 \cdot 1.26 \cdot 2\pi}{t^2} = 84.2 \text{ rad/s}^2$\)

The time taken to reach the final angular velocity is:

\($t = \dfrac{\omega_f}{\alpha} = 0.094 \text{ s}$\)

Substituting the values of \($\omega$\) and \($r$\), we get:

\($v = \omega_f \cdot 1.03$\)

The linear velocity of the discus is given by:

\($v = \omega_f \cdot r = 8.12 \text{ m/s}$\)

Therefore, the discus thrower accelerates the discus to a speed of 8.12 m/s in a time of 0.094 s.

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Bruce has been offered a position selling bungee seat belts to sports car manufacturers. He was given a choice of receiving a monthly salary of $500 plus a bonus of 25% of his monthly sales or a $2,000 monthly salary with a 5% bonus on sales. How much would Bruce have to sell to make the same amount of money from each?

Answers

Answer:

$7500

Step-by-step explanation:

Let x = amount of monthly sales.

Choice A:

"monthly salary of $500 plus a bonus of 25% of his monthly sales"

monthly salary = 0.25x + 500

Choice B:

"$2,000 monthly salary with a 5% bonus on sales"

monthly salary = 0.05x + 2000

We set the total monthly salaries equal and solve for x.

0.25x + 500 = 0.05x + 2000

0.2x = 1500

x = 1500/0.2

x = 7500

Answer: $7500

50 points need asap
Solve the inequality for x. Show each step of the solution.
12x > 9 ( 2x - 3) - 15

Answers

Answer:

The solution of 12x>9(2x-3)-15 is x>7.

50 points need asapSolve the inequality for x. Show each step of the solution.12x > 9 ( 2x - 3) -

Aubrey's dinner cost $85. She tips the waitstaff 30% for excellent service.
How much does Aubrey tip the waitstaff?

Aubrey's dinner cost $85. She tips the waitstaff 30% for excellent service.How much does Aubrey tip the

Answers

Step-by-step explanation:

this study is about bullying cases to our school, we all thanks to support and guide us to do this research,

with the help of our group members and the leader to finish this research

b

What is the domain of the step function f(x) = [2x]- 1?
O {x|x2-1}
O {x|x ≥ 1}
O x x is an integer}
O {x|x is a real number}

Answers

Domain: {x | x is a real number}

Option D, "{x | x is a real number}" accurately represents the domain of the function.

The domain of the step function f(x) = [2x] - 1, where [2x] represents the greatest integer less than or equal to 2x, can be determined by considering the restrictions on the input values.

In this case, the step function is defined for all real numbers. However, the greatest integer function imposes a restriction. Since the greatest integer function only outputs integers, the input values (2x) must be such that they produce integer outputs.

For any real number x, the greatest integer less than or equal to 2x will always be an integer. Therefore, the domain of the function f(x) = [2x] - 1 is:

Domain: {x | x is a real number}

Option D, "{x | x is a real number}" accurately represents the domain of the function.

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what is ounces per cup?

Answers

Ounces per cup is a measure of volume used in cooking; a standard measuring cup holds 8 fluid ounces.

Ounces per cup is a proportion of volume utilized in preparing and food planning. It alludes to the quantity of liquid ounces that can be held in a standard cup measure. In the US, a standard estimating cup holds 8 liquid ounces, so when somebody alludes to a specific number of ounces per cup, they are normally alluding to the number of liquid ounces that are expected to fill one cup.

Understanding ounces per cup is significant in cooking and baking, as recipes frequently call for fixings to be estimated in cups or liquid ounces. It is additionally essential to take note of that ounces per cup can change contingent upon the kind of fixing being estimated, as certain fixings have various densities or loads per volume.

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true or false
Evaluate whether the following statements about initial value problem (IVP) and boundary value problem (BVP) are true or false (i) Initial value problems have all of their conditions specified at the

Answers

The statement "Initial value problems have all of their conditions specified at the initial point" is true.

An initial value problem (IVP) is a type of differential equation problem where the conditions are specified at a single point, usually the initial point. The conditions typically include the value of the unknown function and its derivatives at that point. In an IVP, we are given the initial conditions, and our goal is to find the solution that satisfies these conditions throughout a given interval.

The statement is true because in an initial value problem, all the conditions are indeed specified at the initial point. These conditions include the value of the unknown function, as well as the values of its derivatives, at the initial point. These initial conditions serve as the starting point for finding the solution to the differential equation. Unlike IVPs, BVPs do not have all of their conditions specified at a single point but rather at different points or boundaries.

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Evaluate whether the following statements about initial value problem (IVP) and boundary value problem (BVP) are true or false (i) Initial value problems have all of their conditions specified at the same value of the independent variable in the equation, where that value is at the lower value of the boundary of the domain (ii) BVP avoid the need to specify conditions at the extremes of the independent variable

The table shows the value of printing equipment for 3 years after it is purchased. The values form a geometric sequence. How much will the equipment be worth after 7 years?
Geometric sequence: a_n=〖a_1 r〗^(n-1)

Year Value $
1 12,000
2 9,600
3 7,680

Answers

The value of the equipment after 7 years is $3686.08. Given options are incorrect.

Given a geometric sequence of values of a printing equipment, the formula is given as; a_n = a_1*r^(n-1)Where,a_1 = 12000 (Value in the 1st year)r = Common ratio of the sequence n = 7 (Year for which the value is to be found)

Substitute the given values in the formula;a_7 = a_1*r^(n-1)a_7 = 12000*r^(7-1)a_7 = 12000*r^6To find the common ratio (r), divide any two consecutive values of the sequence: Common ratio (r) = Value in year 2 / Value in year 1r = 9600 / 12000r = 0.8

Therefore,a_7 = 12000*0.8^6a_7 = 3686.08 Hence, the value of the equipment after 7 years is $3686.08.

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Help please I’ll give brainlest

Help please Ill give brainlest

Answers

Answer:

1m²

Step-by-step explanation:

Answer:

A = 157.3 units²

Step-by-step explanation:

A = 1/2(6.9)(8 x 5.7) = 157.3 units²

What is the forecast for May using a five-month moving average?(Round answer to the nearest whole number.) Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47
A. 43 B. 47 C. 52 D. 38 E. 39

Answers

The forecast for May using a five-month moving average is 39 (Option E).

Moving average is used for smoothing out time series data to find any trends or cycles within the data. A five-month moving average is the average of the past five months. To calculate the moving average, add up the sales for the previous five months and divide it by five.

According to the question, the sales for the previous five months are: Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47

We have to add the sales of these five months, which gives:

27 + 40 + 42 + 41 + 47 = 197

To find the moving average for May, we divide this sum by 5:

197 / 5 = 39.4

Since we have to round the answer to the nearest whole number, we round 39.4 to 39, which is option E.

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There are 1,200 bacteria in a lab dish. The population decreases 10% per day. Compare the decrease in the population for days 1 to 3 with the decrease for days 4 to 6.

Complete the sentence with “more quickly,” “less quickly,” or “at
the same rate.”

The population decreases [ Select ] from day 1 to day 3 than from day 4 to day 6.

Answers

The population decreases more quickly from day 1 to day 3 than from day 4 to day 6.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given,

The total number of bacteria in lab dish is 1200

The population decreases 10% per day

In first day:

10/100×1200=120

120 bacteria decreased in lab

1200-120=1080

In second day:

0.1×1080=108

1080-108=972

In third day

0.1×972=97.2

972-97.2=874.8

In fourth day

0.1×874.8=87.48

874.8-87.48=787.32

In fifth day

0.1×787.32=78.732

787.32-78.732

708.588

The population decreases more quickly from day 1 to day 3 than from day 4 to day 6.

Hence, the population decreases  more quickly from day 1 to day 3 than from day 4 to day 6.

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a sample of 49 parents found the mean time spent posting pictures of their children on social media per week was 19 minutes with a standard deviation of 3.9 minutes. find the p-value used to test a claim that the mean time parents spend posting pictures of their children per week is more than 18 minutes at the 5% significance level.

Answers

The p-value will be 0.9457

Sample size = 49

Meantime = 19 minutes

Standard deviation = 3.9 mins

Calculating the z-score for test statistic -

z = (x - μ) / (s / √n)

z = (19 - 18) / (3.9 / √49)

= 1 / 0.63

= 1.58

To find the p-value, we can use a standard normal table to find area under the normal curve of the z-score.

The p-value will be the area under the curve to the right of 1.58.

This value is 0.9457, which means that there is a 94.57% chance.

Now,

Since the p-value is greater than the significance level (0.9457 > 0.05),  the null hypothesis can not be rejected. Therefore, the mean time parents spend posting pictures of their children per week is not significantly different from 18 minutes at the 5% significance level.

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What is inversely and directly?

Answers

In a direct relationship, Y increases when X increases. On a graph, a direct relationship always has a positive slope. Inverse relationship: An inverse relationship means that the variables change in opposite directions: one increases while the other decreases, and vice versa.

Now, According to the question:

Direct relationship:

A direct relationship means that both variables increase together or both decrease together.

In a direct relationship, Y increases when X increases.

On a graph, a direct relationship always has a positive slope.

Inverse relationship:

An inverse relationship means that the variables change in opposite directions: one increases while the other decreases, and vice versa.

In an inverse relationship, Y decreases when X increases.

On a graph, an inverse relationship always has a negative slope.

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The value of a rare baseball card issued in 1989 is represented by the function , where x represents the number of years since the baseball card was issued. Use the Remainder Theorem to find the value of the card in 1999.

Answers

Answer: 5

Step-by-step explanation:

can someone help me out here ??

can someone help me out here ??

Answers

Answer:

6.04 inches

Step-by-step explanation:

1 in. = 100 Ft.

604 Ft / 100Ft = 6.04

Answer:

6.04 inches

Step-by-step explanation:

Given expression: 604 ÷ 100

The actual height of the building is 604 feet, and if Corbin wants to scale it down 1:100, then he would divide the height of the building by 100 to get the height in inches of the model.

The surface area of each face of a cube is (x² + 4x + 4) cm². Find (i) the length, (ii) the volume, in expanded form, of the cube.​

Answers

Answer:

(i) The length of each side is x + 2.

(ii) The volume of the cube is

\( {(x + 2)}^{3} = {x}^{3} + 3 {x}^{2} (2) + 3x( {2}^{2} ) + {2}^{3} = {x}^{3} + 6 {x}^{2} + 12x + 8\)

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