Answer:
A= I + P
for real? And why is high-school question
Solve the inequality by using a table or graph.
x2 − 6x + 8 > 35
x < 3 or x > 9
−3 < x < 9
−9 < x < 3
x < −3 or x > 9
how many ways can you write two different letters, so that they are in alphabetical order? for example, am and iq count, but om does not.
There are 325 ways we can write two different letters so that they are in alphabetical order.
A combination in mathematics is a choice made from a group of separate elements where the order of the selection is irrelevant (unlike permutations).
A k-combination of a set S is officially defined as a subset of S's k unique elements.
We have 25 ways to have the combo A_
Then 24 ways to have the combo B_
The number of combos = 25 * (26/ 2)
= 25 * 13
= 325 ways
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oger federer's run of 5 consecutive wimbledon championships, a record tied with bjorn borg, was halted when he was defeated in the final in 2008 by whom?
Roger Federer's record-tying run of five consecutive Wimbledon Championships was ended in 2008 when he was defeated in the final by Rafael Nadal.
Swiss tennis player Roger Federer, born in Basel, Switzerland, on August 8, 1981, dominated the sport in the early 21st century with his superb all-around performance.
At Wimbledon 2008, Federer made an effort to beat Borg's mark and become the first male player to win six straight Wimbledon championships in the Open Era.
Federer's 41-match winning streak was snapped at Wimbledon when Nadal upset him in his most successful major.
Roger federer's run of 5 consecutive wimbledon championships, a record tied with bjorn borg, was halted when he was defeated in the final in 2008 by Rafael Nadal
The following year, Federer repeated the feat, and in 2010, Nadal once again won the double.
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Get the answer by completing the square
t^2-10t+6=7
Answer:
[tex]t=5 +\sqrt{26}, \quad t=5-\sqrt{26}[/tex]
Step-by-step explanation:
Given equation:
[tex]t^2-10t+6=7[/tex]
When completing the square for a quadratic equation, the first step is to move the constant to the right side of the equation:
[tex]\implies t^2-10t+6-6=7-6[/tex]
[tex]\implies t^2-10t=1[/tex]
Add the square of half the coefficient of the term in x to both sides to form a perfect square trinomial on the left side:
[tex]\implies t^2-10t+\left(\dfrac{-10}{2}\right)^2=1+\left(\dfrac{-10}{2}\right)^2[/tex]
Simplify:
[tex]\implies t^2-10t+\left(-5\right)^2=1+\left(-5\right)^2[/tex]
[tex]\implies t^2-10t+25=1+25[/tex]
[tex]\implies t^2-10t+25=26[/tex]
Factor the perfect square trinomial on the left side:
[tex]\implies (t-5)^2=26[/tex]
Square root both sides:
[tex]\implies \sqrt{(t-5)^2}=\sqrt{26}[/tex]
[tex]\implies t-5=\pm \sqrt{26}[/tex]
Add 5 to both sides:
[tex]\implies t-5+5=\pm \sqrt{26}+5[/tex]
[tex]\implies t=5 \pm \sqrt{26}[/tex]
Therefore, the solutions of the given quadratic equation are:
[tex]t=5 +\sqrt{26}, \quad t=5-\sqrt{26}[/tex]
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rubys market sells smoked meats by the pound. The prices for several different meats ate shown in the table.?
giving 85 points)
The amount of money that Kaylee will have left after spending to by meat in Ruby's market would be = $5.01.
What is Kaylee's balance after market purchases?The total amount of money Kaylee has to spent in the market = $11
The quantity of sausage she ordered = 1/2pound
The price of per pound of sausage = $3.25
Therefore 1/2 pound = 3.25 × 1/2 = $1.63
The quantity of chicken she ordered = 1¾ pounds
The price per pound of chicken = $2.50
Therefore 1¾ pounds = 2.50 × 1¾ = $4.36
The total money spent on meat = 1.63 + 4.36 = $5.99
The amount that Kaylee would have left = 11-5.99=$5.01.
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Determine which integers in the set S:{−4, 4, 6, 21} make the inequality 3(j − 5) > 3(7 − 2j) true.
S:{6, 21}
S:{4, 21}
S:{−4, 6}
S:{−4, 4}
PLS HURRY
Answer:
b
Step-by-step explanation:
The integers 6,21 from the set will make the inequality 3(j-5)>3(7-2j) true.
What is inequality?Inequality is the unequal distribution of resources, opportunities, or rewards among individuals or groups in society. It can occur in many forms, such as unequal access to healthcare, education, employment, or other resources, or unequal treatment based on race, gender, ethnicity, and other factors. Inequality can also manifest as unequal income and wealth distribution, as well as unequal access to political power and decision-making. Inequality can be caused by a variety of factors, including structural factors and personal or individual-level factors, such as discrimination. Inequality can have a negative effect on both individuals and societies, leading to social and economic inequities that can be difficult to overcome.
The given inequality is 3(j-5)>3(7-2j). The given set is S:{−4, 4, 6, 21}.
First, we will simplify the given inequality.
3(j-5)>3(7-2j)
⇒j-5>7-2j
⇒3j>12
⇒j>4
It means that numbers greater than 4 will satisfy the given inequality.
Numbers greater than 4 in the given set are 6,21.
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Complete the given diagram by dragging expressions to each leg of the triangle. Then, correctly complete the equation Not all expressions will be used. Then correctly complete the equation to derive the distance, d.
What we have here in the picture is a graph of a segment. The goal is to find the segment's length, which we can do by using the distance formula:[tex]d^2=\left(x_2-x_1\right)^2-\left(y_2-y_1\right)^2[/tex].
What is graph?
A graph is a structure that resembles a set of items in discrete mathematics, more especially in graph theory, in which certain pairs of the objects are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.
Note that the distance between two points is equal to the length of the line segment that joins them.
So now we already have answers for two of the boxes.
The difference in the x-coordinates gives us the horizontal distance between the two points, while the difference in the y-coordinates gives us the vertical distance between the points.
So, the other two boxes should contain:
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Line q passes through the points (3,5) and (-2,4)
10) The second pair of coordinate on the line parallel to q and passes through the point (1, 0) is (-5, 0).
11) The second pair of coordinate on the line perpendicular to q and passes through the point (3, 5) is (2, 0).
What is a slope?When the ratio is expressed as a quotient ("rise over run"), the same number is provided for every two distinct locations on the same line. There is a negative "rise" on a descending line.
Given,
Line q passes through (3, 5), (-2, 4)
(y-y₁)=m(x-x₁)
(y-5)=((4-5)/(-2-3))(x-3)
(y-5)=(-1/-5)(x-3)
-5y+25=-x+3
x-5y+22=0
10) Given point is (0,1)
Slopes are equal for parallel lines.
So, (y-1)/(x-0)=(-1/-5)
-5y+5= -x
x-5y+5=0Let y=0 then,
x= -5
Therefore, the second pair of coordinate on the line parallel to q and passes through the point (1, 0) is (-5, 0).
11) The equation of a line perpendicular to q is,
(y-y₁)=(-1/m)(x-x₁)
(y-5)=5(x-3)
y-5=5x-15
5x-y-10=0
Let y=0 then,
5x-10=0
x=2
Therefore, the second pair of coordinate on the line perpendicular to q and passes through the point (3, 5) is (2, 0).
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Digital citizens are those who use the internet regularly and effectively. What are three (3) good qualities of a responsible digital citizen?
Answer:
eat dog haha ok thats my answer
22. Sven has 11 more than twice as many customers as when he
started selling newspapers. He now has 73 customers. How many
did he have when he started
solve the system of equations using the substitution method. state the solution as an ordered pair, (x,y). x+y=2 y=5x-4
Answer:
(1, 1)
Step-by-step explanation:
x+y=2
y=5x-4
x + 5x - 4 = 2
6x - 4 = 2
6x = 6
x = 1
x + y = 2
1 + y = 2
y = 1
(1, 1)
A store is having an inventory reduction sale, so an employee marks down some gold rings from $75
to $39. What percentage is the discount?
Answer:
48% discount
Step-by-step explanation:
39/75 = 0.52
39 is 52% of 75 but to find the percent discount you have to
1 - 0.52 = .48 *100 = 48%
Find g(x), where g(x) is the translation 4 units up of f(x)=x.
Write your answer in the form mx+b, where m and b are integers.
g(x)=
The equation of the transformed function is g(x) = x + 4
How to describe the transformation from the parent function?From the question, we have the following function that can be used in our computation:
f(x) = x
g(x) = translation 4 units up of f(x) = x
The above equations implies that, we have the transformation to be:
Translation 4 units up of f(x)
Mathematically, this can be represented as
g(x) = f(x) + 4
Substitute the known values in the above equation, so, we have the following representation
g(x) = x + 4
Hence, the transformed function si g(x) = x + 4
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Which value is not part of the five-number summary needed for a box plot of this data? { 5, 6, 1, 27, 2, 7, 12, 15, 9, 18, 19}.
The five-number summary required to construct a box plot of this data does not include 11.
What is a five-number summary?When conducting descriptive analyses or conducting an initial analysis of a sizable data set, a five-number summary is particularly helpful.
The maximum and minimum values in the data set, the lower and upper quartiles, and the median make up a summary's five values.
So, sort the numbers in the row {5, 6, 1, 27, 2, 7, 12, 15, 9, 18, 19} from least to largest:
{1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27}
The range starts at 1 and ends at -27.
The middle value in this row—9—is the median.
18 is the median of the right part {12, 15, 18, 19, 27} and 5 is the median of the left part {1, 2, 5, 6, 7}.
The only option missing from A through D is number 11. (numbers 1, 5, and 9 are part of the five-number summary).
Therefore, the five-number summary required to construct a box plot of this data does not include 11.
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Complete question:
Which value is not part of the five-number summary needed for a box plot of this data?
{ 5, 6, 1, 27, 2, 7, 12, 15, 9, 18, 19}
A. 1
B. 5
C. 9
D. 11
Please Help with 4 and 6
The second-period interest and amount after two months, if The principal amount is $400, The rate of interest is 6% per annum, are $4.02 and $406.02 respectively.
What is interest?When the loan is given to you, then some amount is charged to you for the principal amount and that is called interest.
Given:
The principal amount, P = 400,
The rate of interest, r = 6% per annum,
The time period, t = monthly = 1 / 12 year,
Calculate the simple interest for the first month as shown below,
Simple interest = [tex]p\times r\times t/100[/tex]
Simple interest = 400 × 6 × 1 / (12 × 100)
Simple interest = 2
Thus, the amount of the first month is the principle for the second month,
Amount of the first month = Principal of the second month = 400 + 2 = 402,
Calculate the simple interest for the second month as shown below,
Simple interest = [tex]p\times r\times t/100[/tex]
Simple interest = 402 × 6 × 2 / (12 × 100)
Simple interest = 4.02
Amount after two months = 402 + 4.02 = 406.02.
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PLS HELP ME!!!! I RLLY CONFUSED!!! 100 PTS. NO SCAM ANSWERS T-T
Answer:
1. 2(x-2) = 2x -4 = -7 + 6x -4x +3
2. (x+14) - (8-2x) = 3x + 6 = 9x - 2(3x-3)
3. 3(x+5) = 3x + 15 = -2x + 9 + 5x + 6
4. -4(x+1) + 5x = x - 4 = (7-2x) + (3x -11)
5. (7 + 5x) + (-4x - 1) = 6 + x = -3x + 6 + 4x
Step by step:
For number 1:
2(x-2) = 2x - 4
-7 + 6x -4x + 3 = (-7 + 3) + (6x - 4x) = 2x - 4
For number 2:
(x+14) - (8-2x) = x + 14 - 8 + 2x = (14-8) + (2x + x) = 3x + 6
9x - 2(3x-3) = 9x - (6x - 6) = 9x - 6x +6 = 3x + 6
--
Have a nice day!!
Answer:
4
1
2
5
3
Step-by-step explanation:
we should simplify them first
we will keep the first column the same and call them by numbers 1-5 and the second column will be labled by letters A-E
1- 2(X-2)
2X-4
2- X+14-(8-2X)
X+14-8+2X
3X+6
3 - 3(x+5)
3x+15
4: -4(x+1)+5x
-4x-4+5x
x-4
5. (7+5x)+(-4x-1)
x+6
A: 7-2x+3x-11
x-4
A=4
B: -7+6x-4x+3
-7+2x+3
2x-4
B=1
C: 9x-6x+6
3x+6
c= 2
D: -3x+6+4x
x+6
D= 5
E-2x+9+5x+6
3x+15
E= 3
hopes this helps and im sorry for the mess i had to write a lot please mark brainliest
find the area of shaded region
Answer:
[tex]1 {p}^{2} + 3p - 3.5[/tex]
Step-by-step explanation:
Look at the picture attached. Hope this helps!
There is a spinner with 15 equal areas, numbered 1 through 15. If the spinner is spun one time, what is the probability that the result is a multiple of 3 or a multiple of 5?
The likelihood that the number is 3 or 5 is 0.47.
What is probability?A probability is a numerical representation of the possibility or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
There are 15 identical spaces. Once the spinner has been spun,
Probability is determined by dividing the number of potential outcomes by the number of possible positive outcomes.
5 times: 5, 10, and 15
3 times, 6, 9, 12, and 15.
Different results (3, 5, 6, 9, 10, 12, and 15) (stop doing them).
a variety of successful results 7
3) There are 15 possible outcomes.
4) Probability is equal to 7/15, or 0.47
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1
A circle of radius 3 cm is drawn inscribed in a right angle triangle ABC, right angled at C. If AC is
10 Find the value of CB
A. 10.5cm
B. (20/7)√58 cm
C. 21/2 cm
D. None of these
Answer:
Option A
Step-by-step explanation:
(x + 7)2 = 102 + (x + 3)2
(Tangents from the external point are equal)
⇒ x = 7.5cm ⇒ OB = x + 3 = 10.5 cm
suppose you roll a 6-sided die 6 times. a. how many different (equally likely) outcomes are possible?
Answer:
You can get the answer of 1,2,3,4,5 or 6. Each are 1/6 likely to be rolled.
Step-by-step explanation:
The die has 6 sides. If you were to roll the die 6 times you have the chance to roll the side with 1. The chances of rolling a 1 are 1/6.
Solve the problem by entering and solving an equation.
The Wilsons have triplets and another child who is eleven years old. The sum of the ages of their children is 38. How old are the triplets?
The equation is __n + __ = __
. The triplets are _______ years old.
Answer:
9
Step-by-step explanation:
Equation
[tex]3n + 11 = 38[/tex]
3n=38-11
n=27/3
n=9
therefore triplets are 9 years old
Check
[tex]3n + 11 = 38[/tex]
[tex]3 \times 9 + 11 = 38 \\ 27 + 11 = 38 \\ 38 = 38[/tex]
Answer:
equation: 3n+11=38
The triplets are 9 years old.
Step-by-step explanation:
3n : triplets x their age
11 : the sum
38 : the sum of the ages
We must isolate n to know their age so,
<=> 3n+11=38
<=> 3n=38-11
<=> n=(38-11)/3
<=> n=9
11. What is the solution to
-2.5(4x-4)= -6?
x=
[tex]-2.5(4x-4)= -6[/tex]
Distribute:
[tex](-2.5)(4x)+(-2.5)(-4)=-6[/tex]
[tex]-10x+10=-6[/tex]
Subtract 10 from both sides:
[tex]-10x+10-10=-6-10[/tex]
[tex]-10x=-16[/tex]
Divide both sides by -10:
[tex]\dfrac{-10x}{-10} =\dfrac{-16}{-10}[/tex]
[tex]\fbox{x = $\dfrac{8}{5} $}[/tex]
Answer:
-2.5. or - 2.5= they are the same
A certain statistic dˆ is being used to estimate a population parameter d. The expected value of dˆ is not equal to d. What property does dˆ exhibit?.
According to the Central Limit Theorem for proportions, the property does dˆ exhibit is the statistic is biased.
Central line theorem:
In statistics, central limit theorem states that when the large sample size has a finite variance, the samples will be normally distributed and the mean of samples will be approximately equal to the mean of the whole population.
Given,
A certain statistic dˆ is being used to estimate a population parameter d. The expected value of dˆ is not equal to d.
Here we need to find the property does dˆ exhibit.
As per the Central Limit Theorem establishes that for a proportion p in a sample of size n:
Expected value μ = p
Standard error s = √p(1 - p) /n
Here the expected value is different of the expected, hence, the statistic is biased.
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Why does 0.5x0.11 is equal to 0.055
0.5 x 0.11 is equal to 0.055 because of the zeros and the decimal placements.
Step-by-step explanation:How does it work?Even though it would seem like the answer would be 0.55, the decimal placement of 0.5 makes it so that the number would change to an extra zero in the final result.
I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!
Find the value of x and y in the below diagram. TL is the perpendicular bisector of BF. TE = 2x - 10, EL = 8x-17, BE = 3x+6, and BF = 7x-5, m
Hello,
I hope you and your family are doing well!
To find the value of x, we can use the fact that TL is the perpendicular bisector of BE. This means that TL splits BE into two segments of equal length. Therefore, we have:
EL + BF = BE
Substituting the values for EL, BF, and BE gives:
[tex](8x - 17) + (7x - 5) = (3x + 6)[/tex]
Combining like terms gives:
[tex]15x - 22 = 3x + 6[/tex]
Subtracting 3x from both sides gives:
[tex]12x - 22 = 6[/tex]
Adding 22 to both sides gives:
[tex]12x = 28[/tex]
Dividing both sides by 12 gives:
[tex]x = 28/12 = 7[/tex]
Now that we know the value of x, we can use this value to find the value of y. We can use the equation TE = 2x - 10 to find the value of TE:
TE = 2x - 10 = 2 * 7 - 10 = 14 - 10 = 4
Now we can use the equation EL = 8x - 17 to find the value of EL:
EL = 8x - 17 = 8 * 7 - 17 = 56 - 17 = 39
Since TL is the perpendicular bisector of BE, the length of TL is the average of the lengths of EL and TE. The average of EL and TE is:
(EL + TE)/2 = (39 + 4)/2 = 43/2 = 21.5
So the length of TL is 21.5, and the value of y is 21.5 and x is 7
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Happy Holidays!
PLEASE HELP ASAP!!!!!! I DO NOT KNOW HOW TO DO THIS!!!!! AND IT IS DUE TOMORROW ON FRIDAY!!!!!!! (Part 1) I will post part 2
1) We can explain why the area is πr² by assuming the figure as a rectangle, 2) Diameter = 24.20 cm, Area = 452.91 cm² and 3) the area of the table is 1074.66 in²
What is a circle?The circle is a 2D geometrical figure, with no side or angle, and is made a collection of points.
Given that, 1) a circle with circumferences = 2πr and radius = r, 2) a circle having circumferences = 76 cm and 3) Jada is painting a table having diameter 37 in.
1) Assume the figure as a rectangle, (refer to attached figure)
We get, the length of it is πr and width is r.
And the area of a rectangle is = the Product of length and width.
So, we can conclude that the area of this rectangle is = πr×r = πr²
Therefore, by assuming the figure as a rectangle, we can explain why the area of a circle is πr²
2) circumferences = 2πr
2πr = 76
πr = 38
r = 38/3.14 (π ≈ 3.14)
r = 12.01 cm
Diameter = 2r
D = 2x12.01 = 24.20 cm
Area = πr²
= 3.14x12.01²
= 452.91 cm²
3) Diameter = 37 in
r = 37/2 = 18.5 in
Area = πr²
= 3.14x18.5²
= 1074.66 in²
Therefore, the area of the table is 1074.66 in²
Hence, the answers are 1) We can explain why the area is πr² by assuming the figure as a rectangle, 2) Diameter = 24.20 cm, Area = 452.91 cm² and 3) the area of the table is 1074.66 in²
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find the equation of a line with slope 2 and 6 unit away from the origin
Step-by-step explanation:
find the equation of a line with slope 2 and 6 unit away from the origin
slope intercept form: y = mx + b where m = slope and b = y-intercept.
You are given:
slope = 2
b = 6
answer:
y = 2x + 6
You buy an I-phone for $800 or pay $75 down and the balance in 12 monthly payments of $65. What is the installment price?
The installment price is $55.
How to find the price?This can be illustrated through an expression. Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.
An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles. Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Here, you buy an I-phone for $800 or pay $75 down and the balance in 12 monthly payments of $65. The total amount will be:
= 75 + (12 × 65)
= $855
The installment will be:
= $855 - $800
= $55
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The ratio of the numbers of bananas to the number of oranges is 2:3 furthermore there are 24 more oranges to bananas. Calculate the number of bananas Ms Rehka bought.
The ratio of the numbers of bananas to the number of oranges is 2:3, thus Ms Rehka bought 48 bananas.
What is a ratio?A ratio is a fraction which shows the way of dividing two quantities.
How to calculate the number of bananas Ms Rehka bought?Since the ratio of the numbers of bananas to the number of oranges is 2:3 furthermore there are 24 more oranges to bananas.
Let
x = number of bananas and y = number of ornagesSince the ratio of the numbers of bananas to the number of oranges is 2:3, we have that
x:y = 2:3
x/y = 2/3
Also, there are 24 more oranges to bananas. We have that
y = x +24
Substituting y into the ratio, we have
x/y = 2/3
x/(x + 24) = 2/3
Cross-multiplying, we have
3x = 2(x + 24)
Expanding the brackets, we have
3x = 2x + 48
3x - 2x = 48
x = 48
So, Ms Rehka bought 48 bananas.
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Michelle invests in a savings account that pays 5% interest compounded monthly. What is the APY for this account ?? (Round to the nearest 0.00%)
Only answer if you know!!
The account's APY is 5.12%.
Waht is APY.Annual Percentage Yield, or APY, is the rate that may be earned on an account over the course of a year and includes compound interest.
The annual percent yield, or APY, accounts for interest compounding. Because it takes into account the interest you earn on your money, it accurately reflects the interest rate you really receive on an investment.
Consider the previous illustration, where a $100 investment generates a 5% quarterly compounded return. On the $100, you receive interest throughout the first quarter. However, in the second quarter, you also receive interest on the $100 in addition to the first quarter's interest.
The APY (Annualized Percentage Yield) formula is:
APY = [tex](1+i/N)^{N} -1[/tex]
where, i = Nominal rate = 5%, N = Number of compounding periods = 12
putting the values in the above formula, we get,
APY = (1 + 5% / 12)^12 - 1
APY = (1 + 0.4167%)^12 - 1
APY = (1 + 0.0041667)^12 - 1
APY = (1.0041667)^12 - 1
APY = 1.051161897 - 1
APY = 0.051161 or 5.12%
The APY for this account 5.12%
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