At the Throw Factory, the assembly line produces 122 baseballs in a batch. The baseballs are packaged in boxes with 11 each. If 8 batches are made in one day, how many baseballs will be leftover at the end of it?
Answers
The baseballs produced in a day would fill 88 boxes and there would be 8 baseballs leftover.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A variable can either be dependent or independent. A dependent variable depend on other variable while an independent variable does not depend on other variables.
The assembly line produces 122 baseballs in a batch, If 8 batches are made in one day hence:
Total baseballs produced = 8 batches * 122 balls per batch = 976 balls
Each box contain 11 baseballs each, hence:
number of boxes = 88 boxes and 8 baseballs remaining
The baseballs produced in a day would fill 88 boxes and there would be 8 baseballs leftover.
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Related Questions
ff is a trigonometric function of the form f(x)=a\sin(bx+c)+df(x)=asin(bx+c)+df, left parenthesis, x, right parenthesis, equals, a, sine, left parenthesis, b, x, plus, c, right parenthesis, plus, d.
Below is the graph f(x)f(x)f, left parenthesis, x, right parenthesis. The function intersects its midline at (3,-6.5)(3,−6.5)left parenthesis, 3, comma, minus, 6, point, 5, right parenthesis and has a maximum point at (4,-2)(4,−2)left parenthesis, 4, comma, minus, 2, right parenthesis.
Find a formula for f(x)f(x)f, left parenthesis, x, right parenthesis. Give an exact expression.
\qquad f(x)=f(x)=f, left parenthesis, x, right parenthesis, equals
\qquad
Answers
The trigonometric function that represents the curve seen in the picture is f(x) = 4.5 · sin (π · x / 2 - π) - 6.5.
How to derive a sinusoidal expression
In this problem we need to find a sinusoidal expression that models the curve seen in the picture. The most typical sinusoidal model is described below:
f(x) = a · sin (b · x + c) + d (1)
Where:
a - Amplitudeb - Angular frequencyc - Angular phased - Vertical midpointNow we proceed to find the value of each variable:
Amplitude
a = - 2 - (-6.5)
a = 4.5
Angular frequency
b = 2π / T, where T is the period.
0.25 · T = 4 - 3
T = 4
b = 2π / 4
b = π / 2
Midpoint
d = - 6.5
Angular phase
- 2 = 4.5 · sin (π · 4/2 + c) - 6.5
4.5 = 4.5 · sin (π · 4/2 + c)
1 = sin (2π + c)
π = 2π + c
c = - π
The trigonometric function that represents the curve seen in the picture is f(x) = 4.5 · sin (π · x / 2 - π) - 6.5.
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mountains poem in nepali for class 7
Answers
Step-by-step explanation:
म नजन्मिदै विधवा भएकी हिमाल
खै! किन हो मेरा यी हेर्ने नयनले उनलाइ
अझै पनि दिन र रातमा
सेतै लुगा पहिरिएकी देख्छ
अचम्म लाग्छ मलाइ पहिरिएकी सेतो लुगा माथि
मुनालले पाइला टेके पनि विष्ठा गरे पनि कहिल्यै
मैलो हुदैन सेतो लुगाको वास्तविक रङ
उत्तिकै सेतो देख्छु म
निर्जीव वस्तु भएनी हिमाललाइ
सजीव मनुस्यको जस्तै चोटको कल्पना गरेको छु मैले
किनकी चोटै चोटले ग्रसित भएकी उनी आजभोली
अपाङ्गको सिकार बनिसकेकी छिन
उनलाइ अन्धो भन्छु म किनकी उनी आँखा देख्दैनन
आँखा नदेखे पनि अरु कसैलाइ सुम्सुम्याउन समेत सक्दैनन
तर पनि कस्तुरी, डाफे,मुनाल,घोरल,चितुवा आदि जनावरहरुको
सहारा दिने आश्रय स्थल भएर उभिएकी छिन, के कम छिन र?
जमिन भित्र उनको खुट्टा गाडिएर होला
खुट्टाको दृश्य मैले अझै पनि देख्न पाएको छैन
कस्तो होला है! हिमालको खुट्टा ? सोचिरहन्छु म
सायद खुट्टा नै छैन र पो कहिल्यै पनि हिड्डुल गर्न सक्दैनन कि?
जब कुनै समयमा चुचुरोमा हावा बहन थाल्यो
एकदिन सेतो कपाल धरतीमा हाम फालेर
नदिहरु बढ्न थाले तर उहीँ बहेको हावाले
हिमालको श्रवण गर्ने कानको जाली
नै फुटाइदिएछ त्यही भएर म भन्छु
हिमाललाइ बहिरो पनि हुनुहुन्छ तपाईं
सधै टोलाएर बसेकी देख्छु म
रोजगारी भन्ने कुरा त उहीँ हो हिमाललाइ
बिहानीपख देखि सन्ध्या काल सम्म
प्रकृतिले बसिबसी ऐना टल्काउने
पदभार ग्रहण गराइदिएको छ जब घाम
झुल्किन्छ उनी अस्ताउन्जेल सम्म ऐना टल्काइरहन्छिन्
त्यसैले म भन्छु हिमाललाइ बिधवा भएर के भो त
खान लाउनको लागि रोजगारी मिलेकै छ क्यारे !
Simplify
50(x^2+7x+6)
Answers
Distribute \(50\) to every term inside the parentheses.
\(50\cdotx^2+50\cdot7x+50\cdot6\)
Simplify with multiplication.
\(\huge\boxed{50^2+350x+300}\)
You can't simplify further by adding, so leave the answer as-is.
Answer:
50x^2 + 350x + 300
Step-by-step explanation:
Original Equation:
50(x^2+7x+6)
Distribute 50 to all 3 #'s:
50x^2 + 350x + 300
you're planning on making 5 meatloafs for a party. you go to the store to buy breadcrumbs, and see they are sold by the canister. how many canisters do you need to buy?
Answers
Without decimal, 4 canisters need to buy for making 5 meatloafs for party or if answer in decimal values needed then it is 3.333 canisters.
From the provided data, we have
number of meatloafs = 5
Here we have need the cup measurements the number of meatloafs made per recipe and the net weight of canister.
net weight of the contents of 1 canister = 15 ounces
1 cup = 8 ounces
1.25 cups = 10 ounces
10 ounces of breadcrumbs makes 1 meatoafs.
but we made 5 meatloafs so, for 5 meatloaf needed breadcrumbs = 5×10
= 50
If we consider 4 canisters then
15ounces × 4 canisters = 60 ounces which are 10 more than the needed ( > 50 ounces.
and if we are consider 3 canisters then
15 ounces × 3 canisters = 45 ounces which is not enough.
So, we need 4 canisters of breadcrumbs and we will have 2/3 of a canister left over.
approximately 3.333 is a value of needed canisters in decimals values. If decimal values are not need ,i.e, whole are canisters are not partial then 4 canisters is right .
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Complete question:
you're planning on making 5 meatloafs for a party. you go to the store to buy breadcrumbs, and see they are sold by the canister. how many canisters do you need to buy?
First, determine what information you need to answer this question, then click here to display that info (along with other info).
How much breadcrumbs does the recipe call for? It calls for 1 1/4 cups of breadcrumbs. How many meatloafs does the recipe make? It makes 1 meatloaf.
How many servings does that recipe make? It says it serves 10.
How big is the canister? It is cylindrical, 3.5 inches across and 7 inches tall.
What is the net weight of the contents of 1 canister? 15 ounces.
How much does a canister cost? $2.39
How much does a cup of breadcrumbs weigh? I'm not sure, but maybe something from the nutritional label will help.
which term describes the percent of voters casting ballots?
Answers
The term which is used for describing the number of voters who casted their votes using the ballots is called as voter turnout.
The process of selecting a candidate for a suitable post who takes care of the policies which will be framed for the people is called as voting. In this process, the members/ citizens casts their vote in the favor of their suitable candidate. Many times voters are not valid and their votes are considered as null and void.
The voter turnout is either the percentage of registered voters, eligible voters, or all voting-age people ( this varies from place to place depending upon the minimum voting age required). The voter turnout is also referred to the number of people who go to it or take part in it. High voter turnout is generally considered a sign of a healthy democracy.
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find (fg)(x) where: f(x)=3x^2-4 g(x)=x^3+5x)
Answers
Answer:
3(x^3 + 5x)^2 - 4 (please mark brainliest)
Step-by-step explanation:
plug g equation into x values of f equation
f equation = 3(x)^2 - 4
^g goes here
So....
3(x^3 + 5x)^2 - 4
^ g goes here
Composite function is a function in another function. The composite function f(g)(x) is equivalent to 3(x³ + 5x)² -4
Composite functionsComposite function is a function in another function
Given the following functions
f(x)=3x^2-4
g(x)=x^3+5x
f(g(x)) = f(x³ + 5x)
Substitute x³ + 5x into the function f(x)
f(x³ + 5x) = 3(x³ + 5x)² -4
Hence the composite function f(g)(x) is equivalent to 3(x³ + 5x)² -4
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what is (4/9)^2 as fraction
Answers
Answer:
22/9
Step-by-step explanation:
Pls need answer ASAP
Answers
Answer:
8x +6 is the expression.....
when x=5
8(5) + 6 = 46
Step-by-step explanation:
hope this helps :3
Solve equation.
4 x+7=-1
Answers
Answer:
or;4x=-1-7
or;4x=-8
or;x=-8/4
x=-2
a right triangle has side lengths of 12 feet and 5 feet. what is the length, in feet, of the hypotenuse?
Answers
A and B are the side lengths and C is the hypotenuse.
Substitute: 12^2 + 5^2 = c^2
169 = c^2
Square both sides and you're left with:
c=-13 or 13
It has to be the positive one because a length cannot be negative.
Hope this helped!
e table shows the height of a candle as it is continuously burned. a 2-column table with 5 rows. the first column is labeled time (hours) with entries 0, 0.25, 0.5, 0.75, 1. the second column is labeled height (centimeters) with entries 25, 24.375, 23.75, 23.125, 22.5. which statement describes the candle? the candle starts at a height of 25 centimeters and burns at a rate of 0.625 centimeters per hour. the candle starts at a height of 25 centimeters and burns at a rate of 2.5 centimeters per hour. the candle starts at a height of 22.5 centimeters and burns at a rate of 0.625 centimeters per hour. the candle starts at a height of 22.5 centimeters and burns at a rate of 2.5 centimeters per hour.
Answers
The candle starts at a height of 25 centimeters and burns at a rate of 0.625 centimeters per hour.
What is the initial height and burning rate of the candle?The given table shows the height of a candle as it burns continuously over time. The first column represents time in hours, ranging from 0 to 1, while the second column represents the corresponding height in centimeters.
From the data, we can observe that the candle starts at a height of 25 centimeters when the time is 0 hours. As time progresses, the height of the candle decreases gradually. Specifically, for every hour that passes, the candle burns 0.625 centimeters.
Therefore, the main answer is that the candle starts at a height of 25 centimeters and burns at a rate of 0.625 centimeters per hour.
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Devon records 4 hours of reality shows on her dvr. she records comedy shows for 3/8 of that amount of time. devon watches all the reality and comedy shows in half hour sittings.
Answers
If Devon records 4 hours of reality shows on her dvr and she records comedy shows for 3/8 of that amount of time, then the number of hours taken to record the comedy show is 1.5 hours
Number of hours the Devon record the reality shows = 4 hours
she records comedy shows for 3/8 of that amount of time
The number of hours taken to record the comedy show = (3/8)×Number of hours the Devon record the reality shows
Substitute the values in the equation
= (3/8)×4
= 12/8
= 1.5 hours
Hence, if Devon records 4 hours of reality shows on her dvr and she records comedy shows for 3/8 of that amount of time, then the number of hours taken to record the comedy show is 1.5 hours
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Write a function rule for the values in the table
10
10
12
20
18
50
20
60
y=
Answers
Answer:
y = 5x - 40
Step-by-step explanation:
The function rule can be written in slope-intercept form, y = mx + b.
Let's find slope (m) and y-intercept (b) of the function, using the values given in the table.
✔️Slope (m) = change in y / change in x
Using two pair of values from the table, (10, 10) and (12, 20),
Slope (m) = (20 - 10) / (12 - 10) = 10/2 = 5
Slope (m) = 5
✔️ y-intercept (b):
Substitute (x, y) = (10, 10) and m = 5 into y = mx + b.
Thus:
10 = 5(10) + b
10 = 50 + b
10 - 50 = b
b = -40
✔️Write the function by substituting m = 5 and b = -40 into y = mx + b
Thus:
y = 5x + (-40)
y = 5x - 40
If 2+2 is 4 and 5+5 is 10 what the hell is this
Answers
Reese needs blue ribbon and gold ribbon to decorate a wreath. She needs 1 4 yard of blue ribbon for every 5 8 yard of gold ribbon. How much blue ribbon will she need for every yard of gold ribbon she uses?
Answers
Answer:
subtract add
Step-by-step explanation:
The simple interest for both 48months and 54 months option ,is 13,5%per annum .a deposit of 20% is also required for both option .calculate he balance owed
Answers
Answer:
The amount of deposit required is R37,999 for both
The percentage of purchase price for the required deposit is 20%
Therefore, deposit required=20%*R189,995
=R37,999
The balance owed is the outstanding balance after payment of deposit plus the interest, bearing in mind that interest is computed using the simple interest approach
I=PRT
balance after payment of deposit=R189,995-R37,999
=R151,996
R=13.5% per year
T=48 months and 54 months
Interest on 48 month option=151,996*13.5%*48/12
= R82,077.84
Interest on 54 month option=151,996*13.5%*54/12
= R 92,337.57
The total payment without the initial deposit is the outstanding balance after payment of deposit plus the interest
Total payment for 48 month option=R151,996+R 92,337.57
=R 244,333.57
Total payment for 54 month option=R151,996+R82,077.84
=R 234,073.84
Hope it helped!
solve: 7x+ 19 = -2X + 55
Answers
Answer:
x=4
Step-by-step explanation:
7x+ 19 = -2X + 55
+2x +2x
9x+19=55
-19 -19
9x=36
x=4
Answer:
x=4
Step-by-step explanation:
\(\hookrightarrow 7x+ 19 = -2x + 55\\\\\hookrightarrow 7x+2x=55-19\\\\\hookrightarrow 9x=36\\\\\hookrightarrow x=36/9\\\\\hookrightarrow x=4\)
Swimming Pool a certain summer's day, 406 people the poolThe daily prices are 1.50 for and 2.00 for The receipts for How children and how many adults swam at the public pool that day
Answers
The number of children and the number of adults swam at the public pool that day are 157 and 249 respectively.
What are the numbers of children and adult?The number of children and the number of adults swam at the public pool that day is calculated as follows;
let the number of children = x
let the number of adult = y
x + y = 406 ------ ( 1)
1.5x + 2y = 733.5 ---- (2)
From equation (1), y = 406 - x
Substitute the value of y into equation ( 2)
1.5x + 2( 406 - x ) = 733.5
1.5x + 812 - 2x = 733.5
-0.5x = -78.5
x = 78.5 / 0.5
x = 157 children
y = 406 - 157
y = 249 adults
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The complete question is below:
Swimming Pool a certain summer's day, 406 people the pool, The daily prices are 1.50 for children and 2.00 for adults. The receipts for admission totaled $733.5. How children and how many adults swam at the public pool that day
Kuta Software Infinite Algebra 1. Solving Systems of Equations by Substitution. Solve each system by substitution. 1) y=6x-11. -2x-3y=-7. -2x-3(60x-11)=-7
Answers
the solution to the system of equations is x = 2 and y = 1.
To solve the system of equations by substitution, we will solve one equation for one variable and substitute it into the other equation.
Given the system of equations:
1) y = 6x - 11
2) -2x - 3y = -7
Step 1: Solve equation (1) for y.
y = 6x - 11
Step 2: Substitute the value of y from equation (1) into equation (2).
-2x - 3(6x - 11) = -7
Step 3: Simplify and solve for x.
-2x - 18x + 33 = -7
-20x + 33 = -7
-20x = -7 - 33
-20x = -40
x = (-40)/(-20)
x = 2
Step 4: Substitute the value of x into equation (1) to find y.
y = 6(2) - 11
y = 12 - 11
y = 1
Therefore, the solution to the system of equations is x = 2 and y = 1.
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The solution to the system of equations y = 6x - 11 and -2x - 3y = -7 is x = 2 and y = 1. This is achieved by substituting y into the second equation, simplifying, and solving for x, then substituting x back into the first equation to solve for y.
Explanation:To solve the system of equations y = 6x - 11 and -2x - 3y = -7 by substitution, we start by substituting the equation y = 6x - 11 into the second equation in place of y, giving us -2x - 3(6x - 11) = -7. Next, simplify the equation by distributing the -3 inside the parentheses to get -2x - 18x + 33 = -7. Combine like terms to get -20x + 33 = -7. Subtract 33 from both sides to obtain -20x = -40, and finally, divide by -20 to find x = 2.
Once we find the solution for x, we substitute it back into the first equation y = 6x - 11. Substituting 2 in place of x gives y = 6*2 - 11, which simplifies to y = 1.
Therefore, the solution to the system of equations is x = 2 and y = 1.
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How many times larger than (6 - 4) is (6 - 4) × 5?
Answers
Answer:
5 times bigger
Step-by-step explanation:
(6-4) = 2
(6-4) x 5 = 10
Complete the solution of the equation. Find the
value of y when x equals 0.
6x - 2y = 14
Answers
Answer:
y = - 7
Step-by-step explanation:
6x - 2y = 14
x = 0
6(0) - 2y = 14
- 2y = 14
- 2y ÷ - 2 = 14 ÷ - 2
y = - 7
how many cups of granulated sugar in a 5 pound bag
Answers
There are approximately 11.25 cups of granulated sugar in a 5 pound bag.
To determine the number of cups of granulated sugar in a 5 pound bag, we can use the conversion factor of 2.25 cups per pound.
First, we multiply the number of pounds (5) by the conversion factor:
5 pounds * 2.25 cups/pound = 11.25 cups
Therefore, there are approximately 11.25 cups of granulated sugar in a 5 pound bag.
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Annabelle works in a department store selling clothing she makes a guaranteed salary $500 per week but it's paid a commission on top of her base salary equal to 30% of her total sales for the week how much with Annabel make in a week in which she made 2400 in sales how much for Annabel make in a week if she made x dollars in sales
Answers
Answer:
-Annabel would make $1,220 in a week in which she made 2400 in sales
-The amount that Annabel makes in a week if she made x dollars in sales would be: $500+0.30x.
Step-by-step explanation:
From the information given, you can calculate the amount Annabel makes in a week in which she made 2400 in sales by adding up her guaranteed salary per week plus the result of multiplying the total sales for 30%:
$500+($2,400*30%)=$500+720=$1,220
Now, the amount that Annabel makes in a week if she made x dollars in sales would be:
$500+0.30x, where x is the total amount of sales.
The garden club plants a rectangular garden that.
has been divided into six sections. the members
want to find the area of the sections they planted
with herbs. roberto says they can use the
expression 2(3)+2(3). jay says they can use the
expression (4.9) 3. why are both students
correct? explain your reasoning.
lution
lettuce
3 ft
herbs
2 ft
2 ft
3 ft
3 ft
tomatoes
Answers
Yes, Both the students are correct because both students calculate the area of a rectangular garden.
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
Roberto says they can use the expression;
⇒ 2(3)+2(3)
And, Jay says they can use the expression;
⇒ (4.9) 3
Now,
Since, The garden club plants a rectangular garden that.
And, It has been divided into six sections.
Here, The members want to find the area of the sections they planted with herbs.
Roberto says they can use the expression;
⇒ 2(3)+2(3)
Clearly, Robert find the area of garden as;
⇒ 2(3)+2(3) = 12 ft²
And, Jay find the area of garden as;
⇒ (4.9) 3 = 14.7 ft²
Thus, Both the students are correct because both students calculate the area of a rectangular garden.
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How far will a race car going 120 miles per hour travel in 3 hours
Answers
Answer:
360 miles
Step-by-step explanation:
to find the distance, multiply speed and time
120*3= 360
Can I have brainliest plz
for f(x)=3/8x-7, find f(-16)
Answers
The given function is
\(f(x)=\frac{3}{8}x-7\)The expression f(-16) means we have to evaluate the function when x = -16.
\(\begin{gathered} f(-16)=\frac{3}{8}(-16)-7 \\ f(-16)=-3\cdot2-7=-6-7=-13 \end{gathered}\)Therefore, f(-16) is equal to -13.Carnival T charges an entrance fee of $7.00 and $0.50 per ticket for the rides. Carnival Q charges an entre fee of $12.00 and $0.25 per ticket for the rides. How many tickets must be purchased in order for the total cost at Carnival T and Carnival Q to be the same?
A.25
B.20
C.15
D.10
Answers
A company offers a bonus retirement plans for its executive employees. The
employees are presented with 2 options.
Option #1: They will start an account $5000 and each year earn 25% on the money
in the account. (i.e. a growth factor of 1.25)
Years Warked
2
Retirement Account $5000.00 $6250 00 $781250
Option #2: They will start an account $5000 and each year and each year there after
continue to add $5000 to the account.
Years Worked
Retirement Account 55000.00 $10,000 $15.000
Which retirement option would be worth more at the end of 20 years?
Option #1
Option #2
They are both equal at 20 years,
Answers
Answer:
option 1
Step-by-step explanation:
Option 1 . the value after 20 years can be determined using this formula
FV = P (1 + r)^n
FV = Future value
P = Present value
R = interest rate
N = number of years
5000 x (1.25)^20 = $433,680.87
Option 2 = 5,000 x 20 = $100,0000
Option 1 has a higher value in 20 years
If these two shapes are similar, what is the measure of the missing length d? d 84 cm 10 cm 35 cm
Answers
The missing length in the triangle is 56 cm.
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
Let us form a proportional equation to find the value of missing length
p/21 = 24/9
Apply cross multiplication
9p=21×24
9p=504
Divide both sides by 9
p=56
Hence, the missing length in the triangle is 56 cm.
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NOTE: This Is a multi-part question. Once an answer is submitted, you will be unable to return to this part Consider the given propositions. The summer In Malne Is hot and sunny. identify the negation of the given proposition. Multiple Choice - The summer In Maine iS elther not hot or it is not sunny. - The summer In Malne Is hot but not sunny.
- The summer In Malne Is not hot but sunny.
- It is not the case that the summer In Malne Is not hot or it Is not sunny.
Answers
The correct option is "It is not the case that the summer in Maine is not hot or it is not sunny." because it is the negation of the given the correct option is "It is not the case that the summer in Maine is not hot or it is not sunny." because it is the negation of the given proposition..
Question: Identify the negation of the given proposition "The summer in Maine is hot and sunny."There are four options given below that are the negation of the given proposition. The correct option is "It is not the case that the summer in Maine is not hot or it is not sunny."What is the negation of a proposition?Negation of a proposition is the opposite of a statement. It is defined as the contradiction of the proposition. If a proposition is p, the negation of p is the opposite of p, which is not-p. Here, the given proposition is "The summer in Maine is hot and sunny."So, the negation of this proposition would be, "It is not the case that the summer in Maine is hot and sunny."Therefore, the correct option is "It is not the case that the summer in Maine is not hot or it is not sunny." because it is the negation of the given proposition.
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