Answer:
6 pi
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h where r is the radius and h is the height
The diameter is 2 so the radius is 1/2 d = 1
V = pi (1)^2 * 6
V = 6 pi
PLEASE HELP!!!!!
Is there enough information to prove that the triangles are congruent?
If yes, provide the correct Triangle Congruence Postulate or Theorem and a congruence statement.
If no, justify your answer.
Answer:
Yes because of the Side-Angle Side postulate
Step-by-step explanation:
It is given that line BC is congruent to line BC
It is given that line AC is congruent to line EC
We now that angle DCE is congruent to angle ACB because they are vertical angles
I'm sorry if this is not the right explanation, but I do believe my answer is correct
Answer:
I believe that there would not be enough information because according to the SAS theorem (side, angle, side) you would need angle measure along with segment lengths to prove congruence, and the stated information does not contain an angle measure.
Describe a relationship modeled by the function \(f(x) = 4x^3 - 72x^2 + 320x\), and explain how the function models the relationship.
Then, identify and interpret the key features of the function in the context of the situation described in part A.
(Describe a relationship that could be modeled by the given function. There is no single correct answer: any scenario that fits the function type is correct.)
The relationship modeled that has the function of f(x) = 4x³ - 72x² + 320x is known to be the volume of a right prism that has its dimensions to be : 4 times of its desired length, 10 units lower that its desired length, and 8 units lower than its desired length.
What is the volume of the prism about?For us to know the relationship modeled by the above function, the best way to do it is for one to factor it.
The function is: f(x) = 4x³ - 72x² + 320x
First. we factor it so as to extract the common factor 4x:
Secondly, we factor the quadratic trinomial.
This is often done by writing it as a product of two binomials where the two constant terms are said to be sum up - 18 and its product is said to be 80.
The above terms are known to be -10 and - 8; so the two factors are said to be (x - 10) and (x - 8).
Therefore The relationship modeled that has the function of f(x) = 4x³ - 72x² + 320x is known to be the volume of a right prism that has its dimensions to be : 4 times of its desired length, 10 units lower that its desired length, and 8 units lower than its desired length.
Where it has :
x = the desired length,
4x = 4 times its desired length,
x - 10 = 10 lower than its desired length,
x - 8 = 8 lower than its desired length,
We can therefore say that the volume of the prism is said to be the product of the three factors which are:
V = (4x)(x-10)(x-8)
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Which of these shapes are rectangles? Choose ALL the correct answers
Answer:
Bottom two
Step-by-step explanation:
The shapes that are rectangles are the two blue shapes on the right-hand side in the image attached.
What are rectangles?A rectangle is a plane figure that comprises four side sides and it also has four right angles. The opposite sides of a rectangular shape are usually equal.
From the given image, the shapes that exhibit the rectangular shapes are the second and the fourth blue shapes which can be seen on the right-hand side in the image attached.
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What is the slope of a line perpendicular to the line whose equation is 12x-3y=81? don't know if its trying to ask me for the slope only
Answer: I am pretty sure that it is -1/6 if not then it is y=-1/4x-8
A rectangular building ha a bae that i 255ft long, 255 feet wide, and the building i 42 ft tall. Find the unit for the volume of the building
The volume of the rectangular building is 2,731,050 feet³ depending on the given height, base and width.
The volume of the building will be calculated by the formula -
Volume = length × breadth × height
Thus, keeping the value of each component of building in the formula to find the volume of the building.
Volume of building = 255 × 255 × 42
Performing multiplication on Right Hand Side of the equation to find the value of volume
Volume of building = 2,731,050 feet³
Therefore, the volume of the building is 2,731,050 feet³.
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the steps alana used to solve the equation x - 7 equals 18 are shown drag a reason for each step to the table
The steps Alana used to solve the equation x - 7 = 18 are:
Step 1: Add 7 to both sides to isolate x: x - 7 + 7 = 18 + 7.
Step 2: Simplify and solve for x: x = 25.
Alana used the following steps to solve the equation x - 7 = 18:
Step 1: Add 7 to both sides to isolate x: The reason for adding 7 to both sides is to eliminate the constant term (-7) from the left-hand side of the equation and to move it to the right-hand side. By doing so, Alana isolates the variable term (x) on the left-hand side and obtains x = 18 + 7.
Step 2: Simplify and solve for x: The reason for simplifying the right-hand side of the equation is to obtain the value of x that makes the equation true. By adding 18 and 7, Alana gets 25, which is the solution to the equation.
In summary, Alana used the addition property of equality to add the same value to both sides of the equation, in order to isolate the variable term and solve for x.
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What is the length of BC in the right triangle below? PLEASE HELP
Answer:
B. 142
Step-by-step explanation:
Answer:
14,844
Step-by-step explanation:
Use the Pythagorean theorem.
120 squared minutes 22 squared
=> 14,844
Do the Math: Between 1776 and 1887, how many years did it take for the
U.S. government to seize the land from America's Indigenous population?
108
O109
110
O111
* 5 points
111 years that is last option , it took for the U.S. government to seize the land from America's Indigenous population
What is subtraction ?The difference between two numbers is calculated using the subtraction technique. If you have a group of objects and take off a few of them, the group of objects gets smaller.
For instance, out of the nine cupcakes you bought for your birthday party, seven were gobbled by your friends. There are currently only two cupcakes left. This can be written as the following subtraction formula: Nine less seven equals two, or "nine less seven equals two." When 7 is subtracted from 9, the outcome is 2, or (9 - 7) Here, we divided the difference between the two numbers, 9, and 7, by one another.
Calculation1887 - 1776 = 111 years it took for the U.S. government to seize the land from America's Indigenous population
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Please help me! ASAP
11
10
9
8
7
6
5
4
3
2
1
1 2 3
4
5 6 7 8 9 10 11
A.
B. 8
C. 4
D. 3
Answer:
Here
Step-by-step explanation:
C.4
Each time you go up 4 over 1
so it would be 4/1=4
Solve the equations by modeling Draw the steps using circles for the variables and squares for the numbers
1. Solve 5x - 4 = 3x + 8
A. Model
B. perform the step to have variables (circles) on only one side
C. write the resulting step
D. perform the step to have the variables (circles) alone on one side
E. write the resulting step
F. divide the variables (circles) and numbers (squares) into equal groups
G. show the value of one group
Answer:
A and D
hope this helps :)
Step-by-step explanation:
Select the correct choice below and fill in any answer boxes in your choice
In order to solve this equation, let's expand the products in both sides of the equation:
\(\begin{gathered} x(3x-8)=(3x+6)(x-6) \\ 3x^2-8x=3x^2-18x+6x-36 \\ 3x^2-8x=3x^2-12x-36 \\ -8x=-12x-36 \\ -8x+12x=-36 \\ 4x=-36 \\ x=-9 \end{gathered}\)So the correct option is A.
The solution set is {-9}.
Find the measure of angle A (please help!!!)
Answer: 41 degrees
Step-by-step explanation:
so, we know that a triangle is 180 degrees. since we know that one angle is 80 degrees, we can subtract that from the equation. now, we are trying to find what X is so that we can find the angle. here is how i did it:
i rewrote it and removed the parentheses.
4x + 1 + 4x + 19 = 100
then, i collected like terms and calculated it.
8x + 20 = 100
then, i moved the constant to the right.
8x = 100 - 20
then, i simply calculated it.
8x = 10
solution: x = 10
so, we just insert X into the angle for A. that gets us 4(10) + 1 = angle A
40 + 1 = angle A, hence angle A = 41 degrees.
solve for X and Y. be sure to solve for both.
Answer:
x = 48; y = 13
Step-by-step explanation:
20/5 = 52/y
4 = 52/y
4y = 52
y = 13
20/5 = x/12
4 = x/12
x = 4 * 12
x = 48
Answer:
x = 48, y = 13
Step-by-step explanation:
Since they have a pair of verticle angles, this means the triangles are similar. You find a common side (the length 5 and length 20) and you know the ratio, (divide 20 by 5) aka. the larger triangle is 4 times larger than the smaller one. That means the side lengths are also 1/4 scale. So the bigger triangle = 12(length of side)*4(ratio). Also since y is on the smaller triangle, you scale it down by 1/4, so 52 (the side length) / 4 (ratio) is 13. So y = 13, x =48
Please somebody help me
Answer:
g = \(\frac{4}{3}\)
Step-by-step explanation:
4 - \(\frac{1}{12}\) g - 2 = \(\frac{3}{2}\) g + 1 - \(\frac{5}{6}\) g
multiply through by 12 ( the LCM of 12, 2 and 6 ) to clear the fractions
48 - g - 24 = 18g + 12 - 10g
- g + 24 = 8g + 12 ( subtract 8g from both sides )
- 9g + 24 = 12 ( subtract 24 from both sides )
- 9g = - 12 ( divide both sides by - 9 )
g = \(\frac{-12}{-9}\) = \(\frac{12}{9}\) = \(\frac{4}{3}\)
Solve: (3√3 × 3) / 2. Be sure to leave your answer in simplest radical form.
Answer:
(9√3) / 2
Step-by-step explanation:
(3√3 × 3) / 2
(9√3) / 2
Hope this helps!
Use a table to find (h-8)(h-9).
HELP PLEaseeeeeeeeeeeee thank youi
Answer:
d=4.5t
Step-by-step explanation:
in two hours, Francine went 9 miles
9/2=4.5
the distance equals 4.5 times each cycling time.
d=4.5t
solve for x please and thank uou
Answer:
The question is not asked correctly
Step-by-step explanation:
Answer:
x = 9.33
Step-by-step explanation:
7/13 = x/(x+8)
7x + 56 = 13x
6x = 56
x = 9.33
Karina is designing a logo on a coordinate plane. The logo is a square whose area is 200200200 square units. She places a circle in the middle of the logo centered at (0,0)(0,0)(, 0, comma, 0, ). The circle passes through the point (6.3,1.6)(6.3,1.6)(, 6, point, 3, comma, 1, point, 6, ). Approximately what percentage of the logo does the circle cover
Approximately 66(2s f) percentage of the logo does the circle cover.
What is percentage?
A percentage is a number or ratio expressed as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent sign, "%," is frequently used to indicate it. A percentage is a number without dimensions and without a standard measurement.
To find the percentage we must first find the area of the circle:
We can find the radius of the circle using the distance formula;
⇒ \(d=\sqrt{(x_2-x_1)^2 +(y_2-y_1)^2}\)
⇒ \(r = \sqrt{(6.3-0)^2+(1.6-0)^2}\)
⇒ r = 6.5
Now we calculate the area;
⇒ \(A = \pi r^2\)
⇒ \(A = \pi (6.5)^2\)
⇒ \(A = \frac{169}{4} \pi\)
To get the percentage we divide the area of the circle by the square’s are and multiply by 100;
⇒ Percentage = \(\frac{42.25*\pi }{200}*100\)
⇒ Percentage = 66(2s f)
Hence, approximately 66(2s f) percentage of the logo does the circle cover.
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The circular base of a table lamp has a radius of 4 inches. What is the the lamp base's area? Use 3.14 for pi. ____ sqaure inches
The lamp base's area can be found using the formula for the area of a circle: A = πr^2, where r is the radius of the circle. Plugging in the given value of the radius, we get:
A = 3.14 x 4^2
A = 3.14 x 16
A = 50.24
Therefore, the lamp base's area is 50.24 square inches.
To find the area of the circular base of the table lamp, use the formula for the area of a circle: A = πr^2, where A is the area, π (pi) is approximately 3.14, and r is the radius.
Given:
Radius (r) = 4 inches
Step 1: Substitute the given values into the formula:
A = 3.14 × (4)^2
Step 2: Calculate the square of the radius:
(4)^2 = 16
Step 3: Multiply by pi:
A = 3.14 × 16
Step 4: Calculate the area:
A ≈ 50.24
The area of the lamp base is approximately 50.24 square inches.
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A manufacturer makes bags of popcorn and bags of potato chips. The average weight of a bag of popcorn is supposed to be 3.03 ounces with an allowable deviation of 0.02 ounces. The average weight of a bag of potato chips is supposed to be 5.08 ounces with an allowable deviation of 0.05 ounces. A factory worker randomly selects a bag of popcorn from the assembly line and it has a weight of 3.06 ounces. Then the worker randomly selects a bag of potato chips from the assembly line and it has a weight of 5.03 ounces. Which description closely matches the findings on the assembly line?
Answer:
The weight of the popcorn is off but the potato chips are safe. Simply determine whether each value is within the limit of deviation from eachother.
lan buys a two-quart bottle of juice for $6.40. What is the unit rate of the cost of the
juice per fluid ounce?
1 gallon 4 quarts
1 quart 2 pints
1 pint
1 cup = 8 fluid ounces
2 cups
Before you try that problem, answer the question below.
How
many fluid ounces of juice did Ian buy?
the measure of one interior angle of a parallelogram is 0.25 times the measure of another angle.
The interior angle of a parallelogram is proportional to the measure of another angle with a ratio of 0.25:1.
A parallelogram is a four-sided flat shape that has opposite sides that are parallel and equal in length. The sum of the interior angles of a parallelogram is equal to 360 degrees. If the measure of one interior angle is 0.25 times the measure of another angle, this means that there is a proportionate relationship between the two angles. To find the measure of the second angle, we can use the formula:
Angle 2 = (Angle 1) / 0.25
For example, if Angle 1 is 100 degrees, then Angle 2 is 100 / 0.25 = 400 degrees. This means that if one angle measures 100 degrees, the other angle measures 400 degrees. The sum of the two angles is 500 degrees, which is still less than the total sum of interior angles in a parallelogram, which is 360 degrees.
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Q6. [3] The American Heart Association is about to conduct an anti-smoking campaign and wants to know the fraction of Americans over 40 who smoke. Suppose a sample of 1089 Americans over 40 is drawn. Of these people, 806 don't smoke. Using the data, estimate the proportion of Americans over 40 who smoke. Enter your answer as a fraction or a decimal number rounded to three decimal places. I Q7. [5] A production manager at a wall clock company wants to test their new wall clocks. The designer claims they have a mean life of 17 years with a population variance of 16. If the claim is true, in a sample of 43 wall clocks, what is the probability that the mean clock life would be greater than 17.9 years? Round your answer to four decimal places. Q8. [6] A scientist claims that 6% of viruses are airborne. If the scientist is accurate, what is the probability that the proportion of airborne viruses in a sample of 529 viruses would be greater than 8% ? Round your answer to four decimal places. Q9. [8] A toy company wants to know the mean number of new toys per child bought each year. Marketing strategists at the toy company collect data from the parents of 250 randomly selected children. The sample mean is found to be 4.8 toys per child. Assume that the population standard deviation is known to be 2.1 toys per child per year (1) Find the standard deviation of the sampling distribution of the sample mean. Round your answer to four decimal places. (ii) For a sample of 250, the sample standard deviation is known to be 2.1 toys per child per year. What is the probability of obtaining a sample mean number of new toys per child bought each year greater than 5 toys? Round your answer to 4 decimal places.
Estimate proportion of Americans over 40 who smoke based on sample data: 0.260 (or 26.0%).
Calculate the probability that the proportion of airborne viruses in a sample of 529 viruses is greater than 8%, given a claim that 6% of viruses are airborne.Estimate the proportion of Americans over 40 who smoke based on a sample of 1089 Americans, with 806 non-smokers.
Find the probability that the mean clock life of a sample of 43 wall clocks is greater than 17.9 years, assuming a population mean of 17 years and a population variance of 16.
Calculate the probability that the proportion of airborne viruses in a sample of 529 viruses is greater than 8%, given a claim that 6% of viruses are airborne.
Determine the standard deviation of the sampling distribution of the sample mean, given a sample of 250 children and a known population standard deviation of 2.1 toys per child per year.
Calculate the probability of obtaining a sample mean number of new toys per child bought each year greater than 5 toys, assuming a sample standard deviation of 2.1 toys per child per year for a sample of 250 children.
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parallel to y = 1/2x+3 and through the point (4,5)
a board of directors consists of ten men and five women. a four-member search committee is randomly chosen to recommend a new company president. what is the probability that all four members of the search committee will be women?
The probability of all four women being on the search committee as members in it is 1/273.
We have 15 people in total out of which there are 10 men and 5 women. We need four people on the committee out of these 15.
The probability of that happening can be calculated using the formula -
= Probability of all four women getting selected/Probability of all getting selected
= (5!/4!.1!) / (15!/4!11!)
= (5!/4!1!) * (4!11!/15!)
= (5*4*3*2*1) / (15*14*13*12)
= 1/273
From this, we know that if we need to have all four women as members of the search committee, the probability of that happening is 1/273.
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What is −12≤3(g−2) simplified.
−12≤3(g−2)
Answer:
-2≤g
Step-by-step explanation:
−12≤3(g−2) Distribute.
-12≤3g-6 Add 6 to both sides.
+6 +6
-6≤3g Divide by 3 on both sides.
/3 /3
-2≤g
Hope this helped you out!! Have a wonderful day :D
A savings account pays an annual simple interest rate of 1.5%. How long would it take to earn $500 or more in interest?
Answer:
10,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 years
Step-by-step explanation:
i hope this helped
help me plz and thx :)
Answer:
I am sure it is false. becuase a dependent variable is something you measure and you have to count the eggs.
Cassandra has a tangler panto in her backyard the panto is 12.74 m long and 5.45 m wide round the length and width to the nearest whole number then estimate the perimeter of cassandra is panto write an equation to show your work
The perimeter measures around 36 metre.
Describe a perimeter?The perimeter refers to the area surrounding an object. For instance, your house has a fenced-in yard. The perimeter is the length of the fence. If the yard is 50 feet by 50 feet, your fence is 200 feet long.
While 12.74 rounds up to 13, 5.45 rounds down to 5. Recatangle created a total of four sides, two of which are identical in length to the other two (which is a poor way to explain it). There are two sides that are 13 inches long and two sides that are 5 inches long, which is the solution to this question. When added together, the perimeter would be 13+13+5+5.
As an expression,
2(13)+2(5)
=26+10
=36.
The perimeter is approximately 36 meters.
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