pls help how do u solve for x

Answer:

D.) 2:40

Step-by-step explanation:

36/9 = 4constant rate

From 10 am to 1 pm is 4 hours so 4*4 = 16 gal

16+9 = 25 gal

25 + 4+4= 33 gal

we only need 3 more gallons so it would be 2:40.

HOPE THIS HELPED :)

a. The mean of the data set is 7.67. The median is 7, and there is no mode since no value appears more than once.

b. The range of the data set is 10 (13 - 3). The variance is 13.47, the standard deviation is 3.671, and the coefficient of variation is 47.89%.

c. To compute the Z scores, we need to subtract the mean from each data point and divide the result by the standard deviation. The Z scores for the data set are as follows: -0.983, -1.643, 0.328, -0.983, 0.656, and 1.624. There are no extreme outliers in the data set, as all the Z scores are within a reasonable range.

d. The shape of the data set can be described as positive (right-skewed) because the mean is greater than the median. This indicates that there are a few larger values that pull the mean towards the right side of the distribution. The median, being less influenced by extreme values, is a better representation of the typical value in this case.

a. The mean is calculated by summing all the values in the data set and dividing by the number of observations (6 in this case). The median is the middle value when the data set is arranged in ascending order. The mode is the value that appears most frequently, but in this case, no value is repeated.

b. The range is found by subtracting the minimum value from the maximum value in the data set. Variance measures the average squared deviation from the mean, while the standard deviation is the square root of the variance. The coefficient of variation is the ratio of the standard deviation to the mean, expressed as a percentage.

c. Z scores are calculated to determine how many standard deviations away from the mean each data point is. Outliers are typically considered to be data points that have Z scores greater than 3 or less than -3. In this case, all the Z scores are within a reasonable range, indicating no extreme outliers.

d. The shape of the data set is determined by comparing the mean and median. If the mean is greater than the median, it suggests a positive (right-skewed) distribution, where a few larger values pull the mean towards the right. In this case, the mean is greater than the median, indicating a positive skew.

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Answer:

\(x = - 5 \)

Step-by-step explanation:

To work out this question you have to first cross multiply.

\( \frac{2}{5} = \frac{(x - 3)} {(7x + 15)} \\ \\ 2(7x + 15) = 5(x - 3)\)

When you cross multiply you will get the equation above. Therefore

\((2 \times 7x) + (2 \times 15) = (5 \times x) \\ - (5 \times 3) \\ \\ 14x + 30 = 5x - 15 \\ \\ 14x - 5x = - 30 - 15 \\ \\ 9x = - 45\)

Therefore

\( \frac{9}{9} x = \frac{ - 45}{9} \\ \\ x = - 5\)

Answer:

x = -5

Step by step:

multiply both side by 7x + 15.

2/5 (7x+15)= x − 3

Simplify 2)5 (7x+15) to 2(7x+15)/5.

2(7x+15)/5= x - 3

multiply both sides by 5.

2(7x+15)= 5x - 15

Expand.

14x+30= 5x - 15

subtract 5x from both sides.

14x+30−5x= − 15

Simplify 14x + 30 - 5x14x + 30−5x to 9x + 309x + 30.

9x+30= - 15

Subtract 30 from both sides.

simplify

x = -5

Option A. is the correct answer.

Sample space = watermelon, lemon-lime, lemon-lime, grape, grape, grape.

A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of possible experiment results. Depending on the experiment, a sample area could contain a variety of results.

here, we have,

Given that, Julia had a bag filled with gumballs. There were 1 watermelon, 2 lemon-lime, and 3 grape gumballs.

now,

Sample space contains,

2 lemon-lime: Elements in sample space are lemon-lime, lemon-lime,

1 watermelon: Elements in sample space are watermelon,

3 grape: Elements in sample space are grape, grape, grape,

In total there are 13 elements in sample space.

Therefore, option A . is the correct answer.

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Answer:

Step-by-step explanation:

Option A. is the correct answer.

Sample space = watermelon, lemon-lime, lemon-lime, grape, grape, grape.

The equivalent expressions which depicts Mateo's spending are :

L(1 - 0.15L)

L - 3L/20

Using the following parameters:

The hours spent by Mateo can be written as :

L - 0.15L = L(1 - 0.15)

Also ;

0.15L = 3L/20

Hence, the equivalent expressions are :

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Answer:

\(x^{3}\) + 3

Step-by-step explanation:

Answer:

3+x^3

plz mark brainliest

Answer:

the ratio of perimeters is 3/5

the ratio of areas is 9/25

Step-by-step explanation:

first we divide the given sides of both figures

perimeter=side 1/side 2

=15/25

p=3/5

to find the ratios of the area

=(side 1/side 2)^2

=(3/5)^2

=9/25

Answer:

the ratio of perimeters is 3/5

the ratio of areas is 9/25

Answer:Explanation: The formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. If a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.

Step-by-step explanation:

The circle equation has a center located at (2, 5) and passes through the point (10, 3) is (x - 2)² + (y - 5)² = 68

An equation is an expression that shows the relationship between two or more variables and numbers.

The circle has a center located at (2, 5) and passes through the point (10, 3), hence:

\(Radius=\sqrt{(3-5)^2+(10-2)^2}=8.25\)

The equation of the circle is:

(x-2)² + (y-5)² = 8.25²

(x - 2)² + (y - 5)² = 68

The circle equation has a center located at (2, 5) and passes through the point (10, 3) is (x - 2)² + (y - 5)² = 68

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The distance from the top of the statue to Fernando's head is 28 feet.

Since the statue is 12 feet taller than Fernando, and Fernando is standing 16 feet away, we can use the Pythagorean theorem to find the distance from the top of the statue to Fernando's head. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b). In this case, the hypotenuse represents the distance from the top of the statue to Fernando's head, and the other two sides are the height of the statue (12 feet) and the distance between Fernando and the statue (16 feet). Using the Pythagorean theorem, we can calculate:

c^2 = a^2 + b^2

c^2 = 12^2 + 16^2

c^2 = 144 + 256

c^2 = 400

c = √400

c = 20 feet

Therefore, the distance from the top of the statue to Fernando's head is 20 feet. Since the statue is 12 feet taller than Fernando, we subtract 12 from the total distance to find that it is 28 feet from the top of the statue to Fernando's head.

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(a) Point estimate (mean difference): 2.2 tomatoes. (b) The standard deviation of differences: Approximately 3.47. (c) The test statistic: Approximately 1.38.

To perform a t-test for the population mean difference, follow these steps:

(a) Calculate the point estimate (mean difference): The point estimate is the mean difference between the yields of fertilizer A and fertilizer B.

Mean difference = (Sum of differences) / Number of pairs

Using the given data gives:

Mean difference = ((7-4) + (6-7) + (5-6) + (8-5) + (10-3)) / 5

Subtracting gives:

Mean difference = (3 - 1 - 1 + 3 + 7) / 5

Solving gives:

Mean difference = 11 / 5

Dividing gives:

Mean difference = 2.2

(b) Calculate the standard deviation of the differences:

To calculate the standard deviation of the differences, we need to calculate the squared differences, find their sum, divide by (n-1), and then take the square root.

Squared differences:\((3 - 2.2)^2, (-1 - 2.2)^2, (-1 - 2.2)^2, (3 - 2.2)^2, (7 - 2.2)^2\)

Solving gives:

Sum of squared differences = (0.64 + 12.96 + 12.96 + 0.64 + 21.16)

Solving gives:

The sum of squared differences = 48.36

The standard deviation of the differences \(= \sqrt{48.36 / 4}\)

Solving gives:

The standard deviation of the differences \(= \sqrt{2.09}\)

Rounded to three decimal places

The standard deviation of the differences ≈ 3.47

c) Calculate the test statistic:

The test statistic (t) = (Point estimate - Null hypothesis value) / (Standard deviation /√(sample size))

Let's assume the null hypothesis is that there is no difference between the two fertilizers

(i.e., mean difference = 0).

\(t = (2.2 - 0) / (3.47 / \sqrt5)\)

Substituting \(\sqrt 5 = 2.236\)

t = 2.2 / (3.47 / 2.236)

Rounded to two decimal places

t ≈ 1.378

So, the test statistic is approximately 1.378.

The gardener can compare this test statistic to critical values from the t-distribution to determine whether the difference between the two fertilizers is statistically significant at a certain significance level. If the calculated test statistic is greater than the critical value, she ma

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​

The fox population predicted to be in the year 2022 is 53,110 foxes.

The change in population for a specific location over time is known as population growth. The formula to calculate population growth is given as \(P = P_0(1+r)^t\) where P is the population at time t, r is the growth rate, and P₀ is the initial population.

The time period is calculated from the initial and final years,  

t = 2022 - 2012 = 10 years.

Given the initial population is 24,600 and the rate is 8% = 0.08.

Then, the predicted population in the year 2022 is calculated as,

\(\begin{aligned}P&=24,600(1+0.08)^{10}\\&=53,109.55\\&\approx53,110\end{aligned}\)

The answer is 53,110 foxes.

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Answer:

B

Step-by-step explanation:

Squares can not be rectangles, Rectangles always have 2 parallel line was longer or shorter then another two but squares' 4 line will always be the same length

The mean amount of snow per day is equal to 19 cm snow per day.

In Mathematics and Geometry, the mean for this set of data can be calculated by using the following formula:

Mean = [F(x)]/n

For the total amount of snow based on the frequency, we have;

Total amount of snow (s cm), F(x) = 5(8) + 15(10) + 25(7) + 35(2) + 45(3)

Total amount of snow (s cm), F(x) = 40 + 150 + 175 + 70 + 135

Total amount of snow (s cm), F(x) = 570

Now, we can calculate the mean amount of snow as follows;

Mean = 570/30

Mean = 19 cm snow per day.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The equation be |2x-3| = 7 then the set of values is the solution set be (2, -5).

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. When two expressions are joined by an equal sign, a mathematical statement is called an equation.

In mathematics, to solve an equation is to identify its solutions, which are the values (numbers, functions, sets, etc.) that satisfy the requirement expressed by the equation. An equation typically consists of two expressions connected by an equals sign. A variable or variables are labeled as unknowns when looking for a solution.

Any combination of a number, a variable, and operation symbols is considered an expression. Two expressions are combined to form an equation, which is joined by the equal sign.

Let the equation be |2x-3| = 7

We know that if \($|a|=b, a=\pm b$\).

Since we do not know if 2x - 3 exists positive or negative, we will need a \($\pm$\) on the 7 :

\($|2 x-3|=7 \Rightarrow 2 x-3=\pm 7$$\)

Add 3 to both sides, and finally divide by 2, we get

\($$\begin{aligned}& 2 x=3 \pm 7 \\& x=\frac{3}{2} \pm \frac{7}{2}\end{aligned}$$\)

So x exists equal to either 10/2 = 5 or -4/2 = -2.

Therefore, the correct answer is option b) (2, -5).

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If x + y = L and \(x^2+y^2\) = M and the vales of L and M are constants, then the value of \(x^3+y^3\) in terms of L and M is \(x^3+y^3=L^3-3(\frac{L^2-M}{2} )(L)\)

The given values are

x + y = L

\(x^2+y^2\) = M

We know the value of

\((x+y)^3=x^3+y^3+3xy(x+y)\)

Rearrange the terms and convert to the suitable form

\(x^3+y^3=(x+y)^3-3xy(x+y)\)

The value of x + y = L

Substitute the value of x + y in the equation

\(x^3+y^3=L^3-3xy(L)\)

Here we have to find the value of xy

We know

\((x+y)^2=x^2+y^2+2xy\)

Rearrange the terms and convert to suitable form

\(2xy=(x+y)^2-(x^2+y^2)\)

Substitute the values in the equation

2xy = \(L^2-M\)

xy = \(\frac{L^2-M}{2}\)

Substitute the value of xy in the equation

\(x^3+y^3=L^3-3(\frac{L^2-M}{2} )(L)\)

Hence, if x + y = L and \(x^2+y^2\) = M and the vales of L and M are constants, then the value of \(x^3+y^3\) in terms of L and M is \(x^3+y^3=L^3-3(\frac{L^2-M}{2} )(L)\)

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Answer:

3.2

Step-by-step explanation:

Based on the provided expression, it seems you are trying to evaluate the limit:

lim(x→2) g(x)

where it is given that lim(x→2) g(x) = 9.

Using the given information, we can directly substitute the limit value into the expression:

lim(x→2) g(x) = 9

Therefore, the limit of g(x) as x approaches 2 is equal to 9.

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We establish the given binomial expression (x + y)^4 in the following way

The nth power of the sum of two integers a and b may be represented as the sum of n + 1 terms of the form, according to the binomial theorem, which states that for every positive integer n.

A polynomial with just terms is a binomial. An illustration of a binomial is x + 2, where x and 2 are two distinct words. Additionally, in this case, x has a coefficient of 1, an exponent of 1, and a constant of 2. As a result, a binomial is a two-term algebraic statement that comprises a constant, exponents, a variable, and a coefficient.

(x+y) 4=

((x+y)2) 2=

(x2+2xy+y2) 2=

(x2+2xy) 2+2(x2+2xy) (y2)+(y2) 2=

(x4+4x3y+4x2y2)+(2x2y2+4xy3)+(y4)=

x4+4x3y+6x2y2+4xy3+y4

The binomal theorem is a more comprehensive strategy:

(x+y)

n=∑k=0n(nk)

⋅xn−k⋅yk=∑k=0n(nk)

⋅xk⋅yn−k\sWhere\s(nk)=n!((n−k)!)⋅(k!)

n!={1n⋅((n−1)!)

n=0n>0

∑k=0nf(k)=f(0)+f(1)+f(2)+…+f(n)

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The number of liters the second pool would hold is 3.1 × 10⁴ Liters

From the information given, we have that;

Given that;

Pool A = 2.0x 10^4L

Pool B = 1. 6(Pool A)

Substitute the values

Pool B = 1.6(2.0x 10^4L)

expand the bracket

Pool B = 3.1 × 10⁴ Liters

Hence, the value is 3.1 × 10⁴ Liters

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\([25.318\ ,\ 31.121]\) is a 95% confidence interval for the population variance.

A confidence interval in statistics denotes the probability/likelihood that a population parameter will fall between a set of values for a given proportion of the time. Analysts often use confidence intervals that include 95% or 99% of the expected observations.

Given,

Sample = 21 23 25 27 28 35 30 32 33.

confidence level = 95%

sample size =9

To determine confidence interval use formula,

\(C.I=mean \pm z(\frac{S}{\sqrt{n}})\)

where,

S=standard deviation

n=sample size

z-value for 95% =1.96

At first,

\(Mean=\frac{sum\ of\ numbers}{total\ numbers}\\\\Mean=\frac{21+23+25+27+28+35+30+32+33}{9}\\\\Mean=28.22\)

Now calculate standard deviation,

\(S=\sqrt{\frac{1}{n}\sum(x_i-mean)^2}\\\\S=\sqrt{\frac{1}{9}((21-28.22)^2+(21-28.22)^2+(23-28.22)^2+...+(33-28.22)^2}\\\\\\S=4.441\)

Now, calculate confidence interval,

\(C.I=28.22 \pm 1.96(\frac{4.441}{\sqrt{9}})\\\\C=28.22 \pm 2.901\\\\C=25.318\ ,\ 31.121\)

Thus, the confidence level is  \(C=[25.318\ ,\ 31.121]\)

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Your question is incomplete, here is the complete question.

The values taken from a normally distributed population are 21 23 25 27 28 35 30 32 33. Which of the following is a 95% confidence interval for the population variance.

[2.03, 16.30]

[10.12, 81.43]

[9.00, 72.41]

[11.39, 91.64]

[25.31, 31.12]

The area of the region enclosed by the curve r = 9cos(3θ) is (27/2)π.

What is integration?

In mathematics, and notably in calculus, integration is a fundamental notion. It is a mathematical process that seeks to determine a function's integral. The accumulation or total of all infinitesimally small changes in a quantity is represented by the integral.

To find the area of the region enclosed by the curve r = 9cos(3θ), we can set up a double integral in polar coordinates.

In polar coordinates, the area element is given by dA = r dr dθ. To determine the limits of integration, we need to find the values of θ where the curve intersects itself and encloses a region.

The polar curve r = 9cos(3θ) completes one loop for every 2π/3 radians, so we can integrate over the range 0 ≤ θ ≤ 2π/3. The corresponding limits for r can be determined by setting r = 0 and solving for θ.

At r = 0, we have:

0 = 9cos(3θ)

cos(3θ) = 0

The equation cos(3θ) = 0 has solutions at θ = π/6, π/2, 5π/6. These values divide the interval [0, 2π/3] into three subintervals.

Now we can set up the double integral:

Area = ∬R dA

Using polar coordinates, we have:

dA = r dr dθ

The limits of integration are:

0 ≤ r ≤ 9cos(3θ)

0 ≤ θ ≤ 2π/3

Thus, the double integral becomes:

Area = ∫[0 to 2π/3] ∫[0 to 9cos(3θ)] r dr dθ

Now we can evaluate this double integral:

Area = ∫[0 to 2π/3] (1/2)r² ∣[0 to 9cos(3θ)] dθ

Area = (1/2) ∫[0 to 2π/3] (81cos²(3θ)) dθ

Using the trigonometric identity cos²(3θ) = (1 + cos(6θ))/2, we can simplify further:

Area = (1/2) ∫[0 to 2π/3] (81/2)(1 + cos(6θ)) dθ

Area = (81/4) ∫[0 to 2π/3] (1 + cos(6θ)) dθ

Now we can integrate term by term:

Area = (81/4) [(θ + (1/6)sin(6θ)) ∣[0 to 2π/3]]

Area = (81/4) [(2π/3 + (1/6)sin(4π) - (1/6)sin(0))]

Simplifying further:

Area = (81/4) [(2π/3 + 0 - 0)]

Area = (81/4) (2π/3)

Area = (27/2)π

Therefore, the area of the region enclosed by the curve r = 9cos(3θ) is (27/2)π.

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The function f(t) corresponding to the Laplace transform ℋ(f(t)) = ℋ{s(t)} is:

f(t) = u(t) + 2te^(-t) + t^2/2 u(t)

To find f(t) from the Laplace transform ℋ(f(t)), we need to apply the inverse Laplace transform ℒ⁻¹ to ℋ(f(t)).

Given ℋ(f(t)) = ℋ{s(t)}, we have:

ℒ⁻¹{ℋ(s(t))} = ℒ⁻¹{ℋ[(s + 1)²/s]} = ℒ⁻¹{ℋ[s/s] + ℋ[2s/(s+1)²] + ℋ[1/(s+1)²]}

Using the properties of Laplace transforms and taking the inverse Laplace transforms, we get:

f(t) = u(t) + 2te^(-t) + t^2/2 u(t)

where u(t) is the unit step function.

Therefore, the function f(t) corresponding to the Laplace transform ℋ(f(t)) = ℋ{s(t)} is:

f(t) = u(t) + 2te^(-t) + t^2/2 u(t)

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Answer:

46

Step-by-step explanation:

6 x 5 + \((-4)^{2}\)

= 30 + (16)

= 30 + 16

= 46

So, the answer is 46

Answer: The sales tax is $36.79  

Step-by-step explanation:

Multiply the sales tax percent by the money to find how much the sale tax is.

7% * 525.50 = 36.785  which rounds to 36.79  to the nearest penny.

The required amount of sales tax for the refrigerator is $36.785.

As mentioned in the question, a refrigerator is priced at $525.50. There is a 7% sales tax rate. The sales tax for the refrigerator in dollars and cents is to be determined.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
The total price of the sales tax = $525.50
Sales tax is 7%,

sales tax= 525.50 × 7%
sales tax = $36.785

Thus, the required amount of sales tax for the refrigerator is $36.785.

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Answer:

0.02375

Step-by-step explanation:

sana po nakatulong☺

The coordinates point C are (x, y) = (-2, -1)

The graph's points for any line or polygonal form are referred to as coordinates. The points can be utilized for slope calculations, distance measurements, and other tasks.

The preimage and image's separations from the line of reflection are equal, according to the query.

After a reflection over the line y = 1, C's coordinates are (-2, -1)

The following reasons explain why the value above is accurate:

The ABC's provided vertices are A(-5, 5), B(-2, 5) and C. (-2,3)

The line y = 1 serves as the line of reflection to create the picture "A'B'C."

Required:

To get C"s coordinates following a reflection along the line y = 1,

Solution:

Assuming that (x, y) is the coordinate of point C and that its x-coordinate value is:

The x-value will not change as a result of a reflection across the x-axis since the line y = 1 is parallel to the x-axis.

if we consider it to be the mirror image of the point C(-2, 3), the x-coordinate of the point C' will be -2 .

Value for y-coordinate:

The difference between the reflecting line and the coordinates of the picture is the same as the difference between the coordinates of the pre-image and the reflecting line.

The point C(-2, 3) is located 3 y-values apart from the line y = 1, or 2 y-values away.

Consequently, the following is the distance of C"s y value from the reflecting line:

1 - y = 2

⇒ y = -1

Thus, (x, y) = is the coordinate system for the point C' (-2, -1)

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In this case, the antiderivative of f(x) = sin(x) is F(x) = -cos(x) + C, where C is the constant of integration.

It seems like there might be a misunderstanding or error in the given question. Let me try to clarify and provide a response based on the information provided.

If the function f(x) = sin(x) is given, and we are asked to find F(x), it typically refers to finding the antiderivative or integral of the function f(x).

However, the question mentions a power of 3 and the term F(sc), which seems unrelated to the given function f(x) = sin(x). It is unclear what the intention or context of these terms are.

If you can provide more information or clarify the question, I would be happy to assist you further.

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Gulls managed to eat scallops in the novel "Island of the Blue Dolphins" through their adaptive feeding behaviors and opportunistic nature.

In the novel "Island of the Blue Dolphins" by Scott O'Dell, gulls are depicted as opportunistic feeders that have adapted their feeding behaviors to consume scallops. The island where the story takes place is abundant with scallops, which serve as a vital food source for the gulls.

Gulls are skilled at detecting and locating food sources, including scallops. They have keen eyesight and the ability to spot scallops in the water or on the shore. Gulls use their sharp beaks to pry open the shells of the scallops, accessing the nutritious flesh inside.

They are known to scavenge and steal food from other animals, including smaller birds or marine creatures. In the case of scallops, gulls may compete with other predators, such as otters or crabs, to obtain these shellfish for their own sustenance.

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