Answer:
k< -16
Step-by-step explanation:
A sample is taken from all teen drivers at a high school. They are given a
survey that includes the question, "Do you ever engage in the illegal activity of
texting while driving?" What is this an example of?
OA. Nonselection bias
OB. Nonresponse bias
C. Selection bias
OD. Response bias
The given scenario, where a sample of teen drivers at a high school is surveyed about their engagement in the illegal activity of texting while driving, is an example of Selection bias. Option C
How to determine what type of exampleSelection bias occurs when the process of selecting participants for a study or survey is not random or representative of the entire population.
In this case, the sample consists only of teen drivers at a high school, which may not accurately represent all teen drivers in the broader population. The sample is limited to a specific group, which can introduce bias and affect the generalizability of the results to the wider population of teen drivers.
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Electric utility poles in the form of right cylinders are made out of wood that costs $11.07 per cubic foot. Calculate the cost of a utility pole with a diameter of 1.5 ft and a height of 40 ft. Round your answer to the nearest cent.
If the cylinders are made out of wood that costs $11.07 per cubic foot, the cost of the cylinder will be $782.10
How to calculate the volume of cylinderThe volume of a cylinder is expressed as:
V = πr²h
h is the height = 40ft
r is the radius = 1.5/2 = 0.75ft
Substitute:
V = π(0.75)²(40)
V = 3.14 * (0.75)²(40)
V = 70.65 cubic foot
If the cylinders are made out of wood that costs $11.07 per cubic foot, the cost of the cylinder will be 11.07 * 70.65 = $782.10
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Pls help with this ASAP
Answer:
answer is A
Step-by-step explanation:
hope this helps!
Daniel measures the growth of his tomato plant and records the results in the table.
What was the average rate of growth during this time period for his plant to thenearest tenth?
Answer:
1.2
Step-by-step explanation: it just is
Solve for b. b= V [?] 12 5 b Pythagorean Theorem: a2 + b2 = c2 Enter
\(\huge\bold{Given:}\)
Length of the perpendicular "\(a\)" = 5.
Length of the hypotenuse "\(c\)" = 12.
\(\huge\bold{To\:find:}\)
The length of the missing side ''\(b\)".
\(\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}\)
The length of the missing side (base) "\(b\)" is \(\boxed{√119}\).
\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}\)
Using Pythagoras theorem, we have
\(({perpendicular})^{2} + ({base})^{2} = ({hypotenuse})^{2} \\ \\⇢ {a}^{2} + {b}^{2} = {c}^{2} \\\\ ⇢ {5}^{2} + {b}^{2} = {12}^{2} \\ \\⇢25 + {b}^{2} = 144 \\ \\⇢ {b}^{2} = 144 - 25 \\ \\⇢ {b}^{2} = 119 \\ \\⇢b = \sqrt{119} \)
\(\sf\blue{Therefore,\:the\:length\:of\:the\:missing\:side\:"b"\:is\:√119.}\)
\(\huge\bold{To\:verify :}\)
\( {5}^{2} + { \sqrt{119} }^{2} = {12}^{2} \\\\ ⇝25 + 119 = 144 \\ \\⇝144 = 144 \\ \\⇝L.H.S.=R. H. S\)
Hence verified. ✔
\(\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}\)
Divide 30 into five parts such that first nad last part are in the ratio 2:3
To divide 30 into five parts such that the first and last parts are in the ratio of 2:3, we can follow these steps:
1. Determine the ratio between the first and last parts. In this case, it is 2:3.
2. Add the ratio values together to find the total number of parts: 2 + 3 = 5.
3. Divide the total value (30) by the total number of parts (5) to find the value of each part: 30 / 5 = 6.
4. Multiply the value of each part by the respective ratio values to obtain the individual parts:
- First part: 2 * 6 = 12
- Second part: 6
- Third part: 6
- Fourth part: 6
- Last part: 3 * 6 = 18
Therefore, the five parts of 30, with the first and last parts in the ratio of 2:3, are 12, 6, 6, 6, and 18.
How many 1/9's in 31
There are a total of 279 1/9s in 31.
What is simplification?Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.
To find out how many 1/9's are in 31, you can divide 31 by 1/9.
This can be simplified by converting the division of a fraction to multiplication with its reciprocal:
31 ÷ (1/9) = 31 × (9/1)
Simplifying the expression on the right side gives:
31 × 9 = 279
So there are 279, 1/9's in 31.
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12. Shanti's sister Uri is Shanti's age plus 3 years. Uri is 7 years old. Write an
equation to find Shanti's age.
The equation to find Shanti's age is y = x - 3 where y is Shanti's age.
Given,
Shanti's sister Uri is Shanti's age plus 3 years.
Uri is 7 years old.
We need to write an equation to find Shanti's age.
We have,
Uri age = Shanti age + 3______(1)
Uri = 7 years old
Putting in (1)
We get,
Uri age = Shanti age + 3
7 = Shanti age + 3
Subtracting 3 on both sides.
7 - 3 = Shanti age + 3 - 3
4 = Shanti age
We see that Shanti's age is 4 years old.
If we have to write an equation then,
Consider Uri's age to be x and Shanti's age to be y.
Now,
Uri age = Shanti age + 3
x = y + 3
Subtracting 3 on both sides
x -3 = y
y = x - 3 is our equation.
Thus the equation to find Shanti's age is y = x - 3.
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(b) The population consists of all 15-year-olds living in the attendance district of a local high school. You plan to obtain a simple random sample of 200 such residents by using the student roster of the high school as the sampling frame. (Select all that apply.)
Home-schooled students cannot be sampled.
Dropouts cannot be sampled.
Students who are on a school trip cannot be sampled.
Students who are out sick cannot be sampled.
Students who are skipping class cannot be sampled.
The people that would not be sampled would be:
Dropouts cannot be sampled.Home-schooled students cannot be sampled.How to determine the groups that cannot be sampled.We have to do this by considering the people that would be seen present in the roster of the school. The people that are dropouts as well as homeschooled cannot appear in a school register because they are not students.
The students that are sick and on the trip are all students of the high school so they can be included in the sampling that is being done by the school.
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what is the most effluence first step to isolate the variable term on one side of this equation -9x=-4x+5
Part A: Timothy said that AKLM was dilated by a scale factor of 1.5 centered at the origin. Is Timothy CORRECT? Explain your answer or show your work.
Yes, Timothy is correct because triangle AKLM was dilated by using a scale factor of 1.5 centered at the origin.
What is dilation?In Mathematics, dilation can be defined as a type of transformation that is typically used for enlarging or reducing the size of a geometric object but not its shape, based on the scale factor.
For the given coordinates of the preimage triangle KLM, the dilation with a scale factor of 1.5 from the origin (0, 0) would be calculated as follows:
Coordinate K (-1, 3) → Coordinate K' (-1 × 1.5, 3 × 1.5) = Coordinate K' (-1.5, 4.5).
Coordinate L (8, 4) → Coordinate L' (8 × 1.5, 4 × 1.5) = Coordinate L' (12, 6).
Coordinate M (10, -3) → Coordinate M' (10 × 1.5, -3 × 1.5) = Coordinate M' (15, -4.5).
In conclusion, the coordinates of the image triangle K'L'M after a dilation with a scale factor of 1.5 from the origin are (-1.5, 4.5), (12, 6), and (15, -4.5) as shown in the graph above, therefore, Timothy is correct.
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a) Find the center-radius form of the equation of the circle with center (0,0) and radius 12.
b) Graph the circle.
a) The center-radius form of the equation of the circle is
(Type an equation.)
Answer:
The general equation of circle is given by:
(x-h)² + (y-k)² = r², where, (h,k) is the center and 'r' is the radius of circle.
Here, (h , k) = (0, 0) and r = 12
∴ Equation of circle is (x-0)² + (y-0)² = 12²
or, x² + y² =144
I'm a bit rusty on SOE, so could someone help me with this?
The arc VQRST spans half the circle, so it measures 180 degrees. It's made up of the minor arcs VQ, QR, RS, and ST, so their measures all add up to 180 degrees.
\((y+7) + (x+11) + 3y + 65 = 180 \implies x + 4y = 97\)
The arc QRS is subtended by a right angle, so it measures 90 degrees. It's made up of arcs QR and RS, so
\((x+11) + 3y = 90 \implies x + 3y = 79\)
Solve for \(x,y\). Eliminating \(x\), we have
\((x+4y) - (x + 3y) = 97 - 79 \implies \boxed{y = 18}\)
Substituting this into either equation, we find
\(x + 4\cdot18 = 97 \implies \boxed{x=25}\)
The volume of a sphere is 4500π m3. What is the surface area of the sphere to the nearest square meter?
Answer:
2827 m²
Step-by-step explanation:
The equation for volume of a sphere is:
\(V=\frac{4}{3}\pi r^3\)
Using this equation and the given volume of the sphere, we can find the radius of the sphere.
Finding the Radius\(V=\frac{4}{3}\pi r^3\)
\(4500\pi = \frac{4}{3}\pi r^3\)
Divide both sides by π
\(4500=\frac{4}{3}(r^3)\)
Multiply both sides by 3
\(13500=4( r^3)\)
Divide both sides by 4
\(3375=r^3\)
Take the cube root of both sides
\(r=15\)
Thus the radius of the sphere is 15m. We can use this information to find the surface area of the sphere.
Finding the Surface AreaThe equation for surface area of a sphere is \(4\pi r^2\). Substituting the value we found for the radius into the equation, we find:
\(SA=4\pi r^2\\SA=4\pi 15^2\\SA=4\pi 225\\SA=900\pi\\SA\approx2827$ m^2\)
The surface area of the sphere, rounded to the nearest square meter, is 2827 m².
You own Company X. When you started the company, you initially invested $12,000.
You also borrowed $12,000 through a five-year (long-term) loan, of which you have
paid back $2,018. You have retained $1,291 in earnings to be reinvested in the
company, and you decided to put $1,000 of it aside for a long-term investment. The
company owns land and a building worth $8,878 and equipment worth $4,230. As of
today, the company has $8,250 in cash, $1,225 in inventory, and is due to receive
accounts worth $675. However, the company owes its suppliers $485 and has a
$500 loan to pay off in the next six months.
You invested $12,000 in the company when you originally started it. Additionally, you borrowed $12,000 for a five-year (long-term) loan and paid back $2,018 of it.
What does "company" mean?Businesses, a noun in plural. a group of people who are connected or who have joined together. a guest or guests: We're having people over for dinner. a collection of individuals together for social purposes. association, camaraderie, and fellowship She is a lot of joy to be around.
The Old French word "compagnie," which was first used in the Salic code and meaning "one who eats bread with you," is where the English word "company" originates. To describe a "society, friendship, closeness, or body of troops," it was first used in 1150.
You invested $12,000 in the company when you originally started it. Additionally, you borrowed $12,000 for a five-year (long-term) loan and paid back $2,018 of it.
Total Amount to be when start the company is $12000 + $12000
= $24000
Out of which company owns land and a building worth $8,878 and equipment worth $4,230 and have retained $1,291 in earnings to be reinvested in the company, and you decided to put $1,000 of it aside for a long-term investment.
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Mei Mei bought 15 chicken wings for $28.50. If Mei Mei spent $34.20, how many chicken wings did she buy
Answer:
18 chicken wings
Step-by-step explanation:
28.5/15=1.9
34.2/1.9=18
18 chickens were bought for $34.30.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Number of chicken bought = 15
Cost of 15 chickens = $28.50
This means,
15 chickens = $28.50
1 chicken = 28.50/15
1 chicken = $1.9
Now,
The number of chickens bought with $34.20.
= 34.20 ÷ 1.9
= 18
Thus,
18 chickens were bought for $34.30.
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Is the figure line symmetric?
If yes, how many lines of symmetry does the figure have?
Snow flake
A.
No
B.
Yes; 3 lines of symmetry
C.
Yes; 6 lines of symmetry
D.
Yes; 12 lines of symmetry
The figure is indeed symmetric and the number of lines of symmetry the snowflake has is C. Yes; 6 lines of symmetry.
How many lines of symmetry does a snowflake have ?Generally a snowflake is hexagonal and has 6-way radial symmetry. Thus, one can rotate it 60 degrees (the sixth of full rotation) and it still appears the same.
So, overall, this means that a snowflake holds 6 lines of symmetry which divide it into two identical halves reflecting each other. Consequently, it can be rotated in 60-degree increments and still holds identicality. Akin to this final property, the snowflake artifact possesses six uniquely divided
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help please will give brainiest asap
Answer:
C
Step-by-step explanation:
Let me know if you need an explanation
PLS HELP ME WITH THIS QUESTION
PLS SHOW YOUR WORKING OUT
The formula for y in terms of x and c is given as follows:
\(y = \frac{c^5}{\sqrt{x}}\)
What is a proportional relationship?A proportional relationship is a type of relationship between two quantities in which they maintain a constant ratio to each other. This means that if one quantity is multiplied by a certain factor, the other quantity will also be multiplied by the same factor.
The equation that defines the proportional relationship is given as follows:
y = kx.
In which k is the constant of proportionality, representing the increase in the output variable y when the constant variable x is increased by one.
An inverse proportional relationship is modeled as follows:
y = k/x.
In this problem, we have that y is inverse proportional to the square root of x, hence the equation is given as follows:
\(y = \frac{k}{\sqrt{x}}\)
When x = c², y = c^4, hence the constant k is obtained as follows:
\(c^4 = \frac{k}{\sqrt{c^2}}\)
k/c = c^4
k = c^5.
Hence the equation is:
\(y = \frac{c^5}{\sqrt{x}}\)
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Nelson lands 4650 on 2% interest rate. He plans to pay this after 2 months. What will the total principal and interest payment be?
The total principal and interest payment that Nelson will have to pay after 2 months is $4665.50.
To calculate the total principal and interest payment, we need to determine the interest amount and add it to the principal.
First, let's find the interest amount:
Interest = Principal x Interest Rate x Time
Given:
Principal = $4650
Interest Rate = 2% per year
Time = 2 months
Since the interest rate is given on an annual basis, we need to convert the time from months to years. There are 12 months in a year, so 2 months is equivalent to 2/12 = 1/6 years.
Interest = $4650 x 0.02 x (1/6) = $15.50
Now, we can calculate the total principal and interest payment:
Total Payment = Principal + Interest
Total Payment = $4650 + $15.50 = $4665.50
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Jerry's Ice Cream Hut had Chocolate or Vanilla shakes. On the 4th of July they sold 1,440 shakes total with the ratio of chocolate to vanilla being 6:9. How many chocolate shakes did they sell?
Answer:
They sold 576 chocolate shakes.
Step-by-step explanation:
Ratio of chocolate to vanilla being 6:9.
This means for each 6 + 9 = 15 shakes sold, 6 were of chocolate and 9 were of vanilla.
How many chocolate shakes did they sell?
Using proportions
6 chocolate - 15 shakes
x chocolate - 1440 shakes
\(15x = 1440*6\)
\(x = \frac{1440*6}{15}\)
\(x = 576\)
They sold 576 chocolate shakes.
Answer:
They sold 576 chocolate shakes.
Step-by-step explanation:
Ratio of chocolate to vanilla being 6:9.
This means for each 6 + 9 = 15 shakes sold, 6 were of chocolate and 9 were of vanilla.
How many chocolate shakes did they sell?
Using proportions
6 chocolate - 15 shakes
x chocolate - 1440 shakes
They sold 576 chocolate shakes.
THANKS
0
Nick has an album that holds 500 compact discs. Each page of the album holds 5 compact discs. If 32% of the album is empty, how many pages are filled with compact discs?
pages are filled with compact discs.
The number of pages of the album which are filled with compact discs as required is; 68.
What is the number of pages filled with compact discs?As evident in the task content; since the album holds 500 compact discs and Each page of the album holds 5 compact discs.
It follows that there are 100 pages in the album.
Hence, since 32% of the album is empty; (100 - 32)% of the album is filled.
Therefore, the number of pages filled with compact discs is; (68/100) × 100 = 68 pages.
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In the figure shown, lines k and l are parallel.
image
Amy claims that
m
∠
4
+
m
∠
5
=
m
∠
10
+
m
∠
9
.
Is Amy correct? Use appropriate mathematical language to justify your response.
Enter your answer and your justification in the space provided.
PLSS HELP
Amy's claim is correct because each pair of the angles are supplementary. That is, sum up to 180°
Calculating anglesFrom the question, we are to determine if Amy's claims are correct
From the given information,
Amy claims that
m∠4 + m∠5 = m∠10 + m∠9
In the diagram, we can observe that
m∠4 + m∠5 = 180°
This is because the pair of interior angles on the same side of the transversal are supplementary. That is, sum up to 180°
Also,
m∠10 + m∠9 = 180° (Sum of angles on a straight line)
Since each pair of angles are supplementary,
∴ m∠4 + m∠5 = m∠10 + m∠9
and
Hence, Amy's claim is correct
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Help please asap no links please
So the new coordinates of point C are (1, 2), and the image of Triangle ABC is congruent to the original triangle.
What is triangle?A triangle is a closed, two-dimensional geometric figure with three straight sides and three angles. It is one of the basic shapes in geometry and can be classified based on the length of its sides or the size of its angles. A triangle with all sides of equal length is called an equilateral triangle, while a triangle with two sides of equal length is called an isosceles triangle. A triangle with no sides of equal length is called a scalene triangle. Triangles can also be classified based on the size of their angles, with an acute triangle having all angles less than 90 degrees, a right triangle having one angle equal to 90 degrees, and an obtuse triangle having one angle greater than 90 degrees.
Here,
To find the new coordinates of point C after the rotation and translation, we need to perform each transformation separately and then combine them.
Rotation:
To rotate a point 180° counterclockwise about the origin, we switch the sign of both coordinates. Therefore, the new coordinates of point C after the rotation are (-3, -2).
Translation:
To translate a point to the right 4 and up 4, we add 4 to the x-coordinate and 4 to the y-coordinate. Therefore, the new coordinates of point C after the translation are (1, 2).
To determine if the image of Triangle ABC is similar or congruent to the original triangle, we need to compare the corresponding sides and angles of both triangles.
Since we performed a rotation of 180°, all the angles in the image triangle are congruent to the corresponding angles in the original triangle. Additionally, since we performed a translation, the sides of the image triangle are congruent to the corresponding sides of the original triangle. Therefore, the image triangle is congruent to the original triangle.
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What is the sine of Ø?
Please help I've been stuck!
Answer:it means nothing i think
Step-by-step explanation:ive never seen that and im doing well in math so i dont think it means anything
the 7th-grade class wants to collect empty soda pop cans to earn $50.00. If pop cans earn $0.25 per pound how many cans will they need to collect to earn the $50.00?
200 pounds need to collect to earn the $50.00. Divide the cost per pound from the total amount needed, \(\frac{50.00}{0.25}\)= 200 pounds.
Is the British pound?The official money of the U.k. and its regions is the GBP, or British pound sterling. The Pound is the earliest currency that is still accepted as legal tender in the entire world. The GBP, represented by pound sign (£), has one of the greatest trade volumes worldwide.
What makes something a "pound"?The development of the pounds sterling -The Latin word "libra," which means balance and weight, is where the name "pound sterling" comes from. During the years, the pound banknotes underwent various revisions before being initially printed by the Bank of England and over 300 years ago.
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parallel lines are two lines that never meet. find an example that contradicts this definition. How would you change the definition to make it more accurate?
A more modern explanation would be, "Parallel lines are two lines within a given plane that never intersect."
Two lines on a sphere are an illustration that defies the notion of parallel lines. Meridians are the name given to longitude lines on spheres like the Earth.
Meridians are lines that run parallel to one another from the North Pole to the South Pole. However, if we take into account two meridian lines, they will cross at the North and South Poles. Two lines that are originally parallel will, therefore, eventually intersect at the poles on a sphere, defying the notion of parallel lines.
We can change the original definition of parallel lines to read, "Parallel lines are two lines that do not intersect within a given plane."
This adjustment accounts for the fact that lines can exist in many geometrical contexts, such as on a sphere or in three-dimensional space, where the idea of parallelism may be different. By including the phrase "within a given plane," we restrict the concept to the typical geometry seen in Euclidean geometry, where parallel lines do not meet.
A newer definition may therefore read, "Parallel lines are two lines within a given plane that never intersect." This updated definition makes clear that parallel lines must be taken into account inside a certain plane in order to maintain their validity, while also acknowledging the limitations of the idea.
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3a+b=225 b=a-15 first step
Answer:
60 = a
Step-by-step explanation:
I attached a pic of how I got 60 = a
the solution of the equation 3(x+3)=12
Answer:
1
Step-by-step explanation:
3(x + 3) = 12
Multiply 3 by both numbers in the parentheses.
3x + 9 = 12
Subtract 9 from both sides of the equation.
3x = 3
Divide 3 from both sides of the equation.
x = 1
Please help, I don’t understand how to do this at all!
Draw a graph that models the connecting relationships in the floorplan below. The vertices represent the
rooms and the edges represent doorways connecting the rooms. Vertex F represents the outdoors.
F
C
A
D
B
E
Is it possible to find a circuit through the house that uses each doorway once? If so, enter the sequence of
rooms (vertices) visited, for example ABDEA. If it is not possible, enter DNE.
This graph does not have an Euler circuit, which means it is not possible to find a circuit through the house that uses each doorway once.
Hence, the answer is DNE.
What is Euler circuit?
An Euler circuit is only possible in a connected graph where every vertex has an even degree (i.e., an even number of edges incident to it). If any vertex has an odd degree, then an Euler circuit is not possible. If a graph has an Euler circuit, then it also has an Euler path, which is a path that visits every edge exactly once but starts and ends at different vertices.
According to given information :To draw a graph that models the connecting relationships in the floorplan, we can represent each room as a vertex and connect vertices with edges to represent doorways connecting the rooms. We can label the vertices with the corresponding letters and label the edges with the corresponding letters of the connected vertices.
To determine whether it is possible to find a circuit through the house that uses each doorway once, we can use the Euler's circuit theorem, which states that a connected graph has an Euler circuit if and only if every vertex has an even degree. In this graph, vertices A, B, C, D, and E all have degree 3 (three edges connected to each vertex), while vertex F has degree 1 (one edge connected to the vertex).
Therefore, this graph does not have an Euler circuit, which means it is not possible to find a circuit through the house that uses each doorway once.
Hence, the answer is DNE.
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