Answer:
72 minutes
Step-by-step explanation:
The sum of the rates of work in rooms per hour is ...
Jill's rate + Jim's rate
= (1/2 room/hour) +(1/3 room/hour) = (3/6 +2/6 room/hour) = 5/6 room/hour
__
Then the combined rate in hours per room is ...
1/(5/6 room/hour) = 6/5 hours/room = (6/5 hours/room)(60 minutes/hour)
= 72 minutes per room
Jill and Jim can paint the room in 72 minutes when they work together.
Can you or someone help me!?! In the ¨GO MATH¨ book in Chapter 2 . Lesson 9 page 88 there is a problem that says ¨Dina hikes 1 / 2 of the easy trail and stops for a break every 3 1/4 miles. How many breaks will she take?¨ Do A-E pls :(
Answer:
The answer is 3 answer choice b
Ok the questions a-e
a. the number of brakes dina is trying to take
b. I will use the length of the easy trail to find the total distance dina hikes
c. 1/2x 19 1/2; 9 3/4
d. divison: 3
e. just choose the answer choice b
A statistical test used to help answer the question of whether an observed difference is real or just due to chance error.a. trueb. false
a. A statistical test used to help answer the question of whether an observed difference is real or just due to chance error- true
The statistical test referred to in the question is known as a hypothesis test. It is used to determine the probability that the observed difference between two groups or variables is not due to chance but rather represents a true difference. The test involves setting up a null hypothesis, which assumes that there is no difference between the groups or variables, and an alternative hypothesis, which assumes that there is a real difference.
The test calculates a p-value, which represents the probability of obtaining the observed difference by chance if the null hypothesis is true.
If the p-value is below a predetermined level of significance (usually 0.05), then the null hypothesis is rejected and the alternative hypothesis is accepted.
This means that the observed difference is considered real and not just due to chance error.
Hence, If the p-value is below a certain level of significance, the null hypothesis is rejected and the alternative hypothesis is accepted, indicating that the observed difference is real.
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Janie was asked to bring water for her daughter's soccer team. The coach told her he wants each player to drink 1 8 gallon of water after a game. There are 9 players on the team. How much water should Janie bring?
Answer:
1 gallon and 1 pint
Step-by-step explanation:
I guess that the actual amount of water needed per player is 1/8 of gallon and not 18 gallons.
You will need to bring 9 x 1/8 = 9/8 = 1 ¹/₈ gallons or 1 gallon and 1 pint
1 gallon = 4 quarts = 8 pints = 16 cups = 128 ounces
or
1 gallon = 3.785 liters
The US is one of the few countries (along with Liberia, and Myanmar) that still uses the imperial system to measure things, e.g. inches, feet, yards, pounds, miles, pints, gallons, etc. The rest of the world uses the metric system, e.g. meters, liters, kilograms, etc.
Answer:
1 1/8
Step-by-step explanation:
i did it on edge
In parallelogram HIJK, the measure of angle H is 45∘.
Find the measure of angle J. Explain how you know.
Find the measure of angle K. Explain how you know.
Answer:
Step-by-step explanation:
Ayuda plis contesten los que saben porfis
Answer:
13 c
Step-by-step explanation:
15+6=21
21+3=24
24-7=17
17-4=13
How do you know if triangles are congruent in SAS?
With the help of the figure we can say that triangles are congruent by SAS Rule
What is Congruence of Triangle?
Triangle congruence: Two triangles are said to be congruent if all three of their corresponding sides are equal and all three of their corresponding angles are equal in size. These triangles can be moved, rotated, flipped, and turned to look exactly the same.
Solution:
By SAS rule, two triangles are said to be congruent if any two sides and the angle included between the sides of one triangle are comparable to the corresponding two sides and the angle included between the sides of the second triangle.
In given figure, sides AB= PQ, BC=QR and angle between AB and BC equal to angle between PQ and QR i.e. ∠B = ∠Q. Hence, Δ ABC ≅ Δ PQR.
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roman has a certain amount of money. if he spends $15, then he has 14 of the original amount left. how much money did roman have originally?
Roman has a certain amount of money. if he spends 15, then he has 14 of the original amount left. Roman had originally 20.
To find out how much money Roman had originally, you can follow these steps:
Step 1: Let the original amount of money be "x".
Step 2: According to the problem, if Roman spends $15, he has 1/4 of the original amount left.
So, after spending 15, he has (1/4)x left.
Step 3: Since he spent $15, we can write the equation as: x - 15 = (1/4)x.
Step 4: To solve for x, first multiply both sides of the equation by 4 to get rid of the fraction:
4(x - 15) = 4(1/4)x => 4x - 60 = x.
Step 5: Subtract "x" from both sides:
4x - x - 60 = 0 => 3x - 60 = 0.
Step 6: Add 60 to both sides:
3x = 60.
Step 7: Divide both sides by 3 to find the value of x:
x = 60 / 3 => x = 20.
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Given the following LP model, which is the correct standard form? Max(Z)=2X1+X2 Restrictions / Constrains 11×1+3×2≥33
8×1+5×2≤40
7×1+10×2≤70
7×1+10×2≤70 X1,X2≥0 Use this problem's information to answer questions 19 to 21. a. Max(Z)=3×1+2X2
11×1+3×2−51≤33
8×1+5×2+52≥40
7×1+10×2+53≥70
b. Max(Z)=3×1+2×2 11×1+3×2+51=33 8×1+5×2−52=40 7×1+10×2−53=70
c. Max(Z)=3×1+2×2 11×1+3×2−51=33 8×1+5×2+52=40 7×1+10×2+53=70
d. Max(Z)=3×1+2×2 11X1+3×2+$1=33 8×1+5×2+52=40 7×1+10×2+53=70
The correct standard form for the given LP model is option C: Max(Z) = 3x1 + 2x2, subject to the constraints 11x1 + 3x2 - 5 <= 33, 8x1 + 5x2 + 5 >= 40, and 7x1 + 10x2 + 5 >= 70, with x1, x2 >= 0. This option aligns with the original objective function and constraints of the LP model.
To convert the LP model into standard form, we need to rewrite the constraints with the variables on the left-hand side and constants on the right-hand side, with inequality signs (<= or >=) consistent throughout. Additionally, we introduce slack or surplus variables to transform any non-standard constraints.
In option C, the constraints are correctly transformed as 11x1 + 3x2 - 5 = 33, 8x1 + 5x2 + 5 >= 40, and 7x1 + 10x2 + 5 >= 70. These constraints are consistent with the original model. The objective function remains the same, Max(Z) = 3x1 + 2x2.
Option A has incorrect signs in the transformed constraints, and option B introduces surplus variables (+5) instead of slack variables (-5), resulting in an incorrect standard form. Option D includes a non-standard term with a dollar sign, which is inconsistent with linear programming conventions.
Therefore, option C is the correct standard form, adhering to the original LP model's objective function and constraints.
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what is the domain of validity for csc 0=1/sin 0
a. all real numbers
b. all real numbers except odd multiples of pi/2
c. all real numbers except even multiples of pi/2
d. all real numbers except multiples of pi
The correct answer is (b) all real numbers except odd multiples of π/2. The domain of validity for cscθ (cosecant) is restricted because cosecant is undefined when the sine of an angle is zero.
In the trigonometric identity cscθ = 1/sinθ, the denominator sinθ becomes zero at odd multiples of π/2 (such as π/2, 3π/2, 5π/2, etc.), resulting in a division by zero error. Therefore, the cosecant function is not defined for these values of θ.
For all other real numbers θ, the sine function is non-zero and well-defined, allowing us to calculate the reciprocal of the sine and determine the value of the cosecant. Hence, the domain of validity for cscθ is all real numbers except odd multiples of π/2, as stated in option (b).
It's important to note that in trigonometry, the domain of validity is determined by avoiding any values that would lead to undefined expressions or division by zero errors.
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The domain of validity for csc θ = 1/sin θ is all real numbers except multiples of π, because at these points the sine function equals zero, and division by zero is undefined.
Explanation:In mathematics, the cosecant function (csc), is defined as the reciprocal of the sine function, or 1/sinθ. The domain of a function are all the possible input values that will yield real numbers (output). For the csc function, its domain includes all real numbers except where the denominator is zero because division by zero is undefined.
In the unit circle context, sine equals zero at 0, π, 2π, ..., and the negative counterparts. Basically, these are the multiples of π. Thus, for the csc function, the domain is all real numbers except multiples of π, which matches option d in your choices.
The domain of validity for csc θ = 1/sin θ is all real numbers except multiples of π.
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4/5 divided by 2/3 PLEASE HELP
Answer:
6/5
Step-by-step explanation:
4/5 x 3/2 = 12/10 = 6/5
solve for x: -1 < x + 3 < 5
Answer:
−4<x<2
Step-by-step explanation:
−1<x+3<5
−1+−3<x+3+−3<5+−3 (Add -3 to all parts)
−4<x<2
Answer:
x=1
Step-by-step explanation:
-1 < x + 3 < 5
-1 < 1 + 3 < 5
-1 < 4 < 5
4 is greater than -1, but less than 5.
please help me i really need it
Answer:
Step-by-step explanation:
What is the most simplified expression that is equivalent to (5y)^2. (16y^4)^1/2
The most simplified expression for \((5y)^2(16y^4)^{\frac{1}{2}\) is \(100y^4\)
The given expression is:
\((5y)^2(16y^4)^{\frac{1}{2}\)
Expand the expression using the laws of indices
\(5^2y^2 \times 16^{\frac{1}{2}}y^{\frac{4}{2}\\\\\)
\(25y^2 \times 4y^2\)
Multiply like terms
\((25 \times 4)y^{2+2}\)
The resulting expression is:
\(100y^4\)
Therefore, the most simplified expression for \((5y)^2(16y^4)^{\frac{1}{2}\) is \(100y^4\)
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I need help with number 26 asap! Thank you so much!!
Therefore, the only solution to the equation cot² x cos x = cot²x on the interval [0, 2m) is x = 0.
What is equation?An equation is a mathematical statement that shows the equality between two expressions. The expressions on either side of the equals sign are called the left-hand side and the right-hand side of the equation. An equation can be written in many different forms, but the most common form is: Left-hand side = Right-hand side
In the given question,
We start by bringing all the terms to one side of the equation, which gives:cot² x (cos x - 1) = 0
Now, we need to solve for x such that this equation holds on the interval [0, 2m).
First, we consider the case where cot² x = 0. This occurs when cot x = 0, or x = π/2, 3π/2, 5π/2, etc. However, none of these solutions are in the given interval [0, 2m), so we can ignore this case.
Next, we consider the case where cos x - 1 = 0. This occurs when cos x = 1, or x = 2nπ, where n is an integer. The only solution that is in the given interval [0, 2m) is x = 0.
Therefore, the only solution to the equation cot² x cos x = cot² x on the interval [0, 2m) is x = 0.
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What is the exponential smoothing forecast for period 5 assuming that alpha = 0.5?
Period Heat
1 418
2 411
3 412
4 413
5 418
6 414
7 421
(Keep 2 decimals in your answer)
The exponential smoothing forecast for period 5, assuming alpha is 0.5, is 416 (rounded to two decimal places).
Exponential smoothing is a forecasting method that uses a weighted average of past observations, with more recent observations receiving higher weights. The forecast for a specific period is calculated by adding the weighted average of the previous period's forecast and the actual observation.
Given the data and alpha value provided, we can calculate the exponential smoothing forecast for period 5 using the following steps:
1. Initialize the forecast for period 1 as the actual observation for period 1: F1 = 418.
2. Calculate the forecast for period 2 using the exponential smoothing formula:
Ft = α * At-1 + (1 - α) * Ft-1
Where:
Ft = Forecast for period t
At-1 = Actual observation for period t-1
Ft-1 = Forecast for period t-1
α = Smoothing parameter (alpha)
Using the values provided, we can calculate F2:
F2 = 0.5 * 418 + (1 - 0.5) * 418 = 418
3. Repeat the calculation for periods 3, 4, and 5:
F3 = 0.5 * 412 + (1 - 0.5) * 418 = 415
F4 = 0.5 * 413 + (1 - 0.5) * 415 = 414
F5 = 0.5 * 418 + (1 - 0.5) * 414 = 416
Therefore, the exponential smoothing forecast for period 5, assuming alpha is 0.5, is 416 (rounded to two decimal places).
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There are 4,028 cell phones in a box. 1% of them were broken. 50% of the good phones were sold to another city and the remaining were sold locally. What percent of the phones were sold locally? Round to the nearest one percent.
If 1% of the phones were broken, then the number of good phones is 99% of 4,028:
99/100 x 4,028 = 3,987.72 (rounded to 3,988)
Out of the 3,988 good phones, 50% were sold to another city:
50/100 x 3,988 = 1,994
So, the remaining number of good phones that were sold locally is:
3,988 - 1,994 = 1,994
To find the percentage of phones sold locally, we need to divide the number of phones sold locally by the total number of phones:
1,994 / 4,028 = 0.494
Then, we can convert this decimal to a percentage and round to the nearest one percent:
0.494 x 100 ≈ 49%
Therefore, approximately 49% of the phones were sold locally.
Write the following in scientific notation- 27,140,000,000 0.00000561 72.5•10^9
Answer:
27,140,000,000 in scientific notation is 2.714 x 10^10.0.00000561 in scientific notation is 5.61 x 10^-6.72.5 x 10^9 in scientific notation is 7.25 x 10^10.A news story needs to be shared 1,500,000 times to get featured on a talk show. The exponential model y=5·\(7^{x}\) represents the number of shares, y, a news story receives in x days.
About how many days will it take for a news story to reach 1,500,000 shares? Round your answer to the nearest day.
Responses
25 days
6 days
12 days
20 days
The number of days it would take for a news story to reach 1,500,000 shares include the following: B. 6 days.
What is an exponential function?In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:
\(f(x) = a(b)^x\)
Where:
a represents the initial value or y-intercept.x represents x-variable.b represents the rate of change, common ratio, decay rate, or growth rate.Based on the information provided above, the number of shares this news story can be modeled by the following exponential function;
\(y = 5(7)^x\\\\1500000=5(7)^x\\\\300000=(7)^x\)
By taking the natural log (ln) of both sides of the equation, we have:
Time, x = 6.4 ≈ 6 days.
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HOPE is a parallelogram. If m<O = 9x+24 and m<S = 3x + 12, then what are the measures of all the angles of the parallelogram?
The measures of all the angles of a parallelogram are equal, i.e. they are 180° each.
If O is one of the angles, then its opposite angle is P.
Likewise, if E is one of the angles, then its opposite angle is H.
Therefore, we have the following measurements:
OP = 9x + 24SH
= 3x + 12
OP + H = 180°
⇒ 9x + 24 + 3x + 12 = 180°
12x + 36 = 180°
12x = 144°
x = 12°
OP = 9(12) + 24
= 132°
SH = 3(12) + 12
= 48°
HE = OP
= 132°
∠H = ∠E
= 180° - ∠OP
= 180° - 132°
= 48°∴
The measures of all the angles of the HOPE parallelogram are 132°, 48°, 132°, and 48° respectively.
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If a firm's profit is modeled by the following function: Z = - 3x2 +12x + 25, Then the maximum profit is ________ .
To find the maximum profit, we can look for the vertex of the parabolic function representing the profit.
The given profit function is:
\(Z = -3x^2 + 12x + 25\)
We can see that the coefficient of the \(x^2\) term is negative, which means the parabola opens downwards. This indicates that the vertex of the parabola represents the maximum point.
The x-coordinate of the vertex can be found using the formula:
\(x = \frac{-b}{2a}\)
In our case, a = -3 and b = 12. Plugging these values into the formula, we get:
\(x = \frac{-12}{2 \cdot (-3)}\\\\x = \frac{-12}{-6}\\\\x = 2\)
To find the maximum profit, we substitute the x-coordinate of the vertex into the profit function:
\(Z = -3(2)^2 + 12(2) + 25\\\\Z = -12 + 24 + 25\\\\Z = 37\)
Therefore, the maximum profit is 37.
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What is the solution to (2 - 1)(4 - 2) + 9 ?
Please someone help best answer gets brainleist
Answer:
B
Step-by-step explanation:
it will never cross so it's b
82 is 97% of what?
can someone answer please
(6) Q 5. (a) Let X have a binomial distribution with n= 4 and p = 1/3. Compute: (i) Complete binomial distribution (ii) P(X < 2) (iii) P(X > 3)
(b) A random variable X is normally distributed with mean 50 and variance 25. Find the probability: (4) (i) P(55 < X < 100) (ii) P(X > 54)
In this problem, we are given two scenarios. In part (a), we are asked to compute various probabilities related to a binomial distribution with parameters n=4 and p=1/3.
Specifically, we need to calculate the complete binomial distribution, P(X < 2), and P(X > 3). In part (b), we are given a normal distribution with mean 50 and variance 25, and we need to find the probabilities P(55 < X < 100) and P(X > 54).
(a) For the binomial distribution with n=4 and p=1/3, we can calculate the complete binomial distribution by finding the probabilities for each possible value of X (0, 1, 2, 3, 4). To calculate P(X < 2), we sum the probabilities of X=0 and X=1. To calculate P(X > 3), we sum the probabilities of X=4. These calculations can be done using the binomial probability formula or a binomial probability calculator.
(b) For the normal distribution with mean 50 and variance 25, we can find probabilities using standard normal tables or software that provides cumulative distribution functions (CDFs) for the standard normal distribution. To calculate P(55 < X < 100), we find the area under the normal curve between the z-scores corresponding to 55 and 100, and subtract the area to the left of 55 from the area to the left of 100. To calculate P(X > 54), we find the area to the right of 54 under the normal curve.
By performing these calculations, we can determine the requested probabilities in both scenarios.
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Use the properties of geometric series to find the sum of the series. For what values of the variable does the series converge to this sum?
7−14z+28z2−56z3+⋯
sum =
domain =
(Give your domain as an interval or comma separated list of intervals; for example, to enter the region x<−1 and 2
The sum of the series converges to 7 / (1 + 2z), and the domain for which it converges is -1/2 < z < 1/2.
To find the sum of the given geometric series\(7−14z+28z^2−56z^3+\)⋯, we need to first identify the first term (a) and the common ratio (r).
Step 1: Identify the first term (a)
The first term is 7.
Step 2: Identify the common ratio (r)
Observe the series and find the ratio between consecutive terms:
-14z / 7 = -2z
\(28z^2 / -14z = -2z\)
\(-56z^3 / 28z^2 = -2z\)
The common ratio is -2z.
Step 3: Determine the convergence of the series
A geometric series converges when the absolute value of the common ratio (|r|) is less than 1:
| -2z | < 1
To solve for the domain of z, we need to find the values for which this inequality holds:
-1 < -2z < 1
Divide all parts of the inequality by -2, and remember to reverse the inequality signs when dividing by a negative number:
1/2 > z > -1/2
Step 4: Find the sum of the converging series
For a converging geometric series, the sum can be calculated using the formula:
sum = a / (1 - r)
Plug in the values of a and r:
sum = 7 / (1 - (-2z))
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suppose that f ( x ) = x 2 4 x − 7 . notice that f ( 9 ) = 42.5 . what does this tell us about the numerator
The fact that f(9) = 42.5 tells us that the numerator of the function, x^2, evaluated at x = 9 is equal to 42.5.
In the given function f(x) = x^2 / (4x - 7),
evaluating it at x = 9 yields f(9) = 9^2 / (4(9) - 7) = 81 / 29 ≈ 2.7931.
Since the numerator of the function is x^2, the fact that f(9) = 42.5 indicates that the numerator x^2 evaluated at x = 9 is equal to 42.5.
In this case, it means that 9^2 = 81 is equal to 42.5, which is not true. Therefore, there seems to be an error or inconsistency in the given information or calculation.
The numerator x^2 should evaluate to 81, not 42.5.
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The graph below shows the ascent (rise) and decent (fall) of two different airplanes in the vicinity of the city airport.
What is the initial height of Plane A? _____ Miles
What is the height of Plane B after 40 seconds? _____ Mile
At what time are the planes flying at exactly the same height? _____ Seconds
Using the graph given:
1. 1. Initial height of plane A: 4 miles.
2. Plane B was 1 mile.
3. The time both planes fly at exactly the same height is: 20 seconds.
How to Interpret a Graph?A graph illustrates the relationship between two variables, one plotted on the x-axis upon which the one plotted on the y-axis depends on.
Like in the graph shown above, the time in seconds is plotted on the x-axis as against the height in miles on the y-axis.
Each point on the graph, (x, y) shows the height (y) of the plane after some seconds (x).
Therefore:
1. The initial height of plane A is at 4 miles.
2. After 40 secs, the height of plane B was 1 mile.
3. The point where the two lines intersect shows when the time and height of both planes are the same. Therefore, at 20 seconds, both planes were flying at the same height of 3 miles.
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One of your friends has put on his/her best effort and has been honored for the title `the best player of the session`by his sports club. Wrire him / her a congratulatory letter encouraging him/her to do much better in the days to come.
Congratulations on being honored as the best player of the session by your sports club! Your dedication and hard work have paid off. Keep up the excellent performance, and strive for even greater achievements in the future.
Dear [Friend's Name],
I am absolutely thrilled to hear that you have been awarded the title of "the best player of the session" by your sports club. This recognition is a testament to your exceptional skills, unwavering determination, and relentless effort on the field. You have truly shown your passion for the sport and your commitment to excellence.
Your achievement not only reflects your talent but also the countless hours you have invested in practice and honing your skills. Your dedication to your craft has set you apart from others and made you deserving of this prestigious honor. You have proven that hard work, perseverance, and a positive attitude can lead to remarkable success.
I want to take this opportunity to encourage you to keep pushing yourself further. This accomplishment is just the beginning of a journey filled with limitless possibilities. Use this recognition as a stepping stone to even greater heights. Continue to challenge yourself, set new goals, and strive for continuous improvement. Your talent and potential are boundless, and I have no doubt that you will accomplish great things in the days to come.
Remember to stay humble and grateful for this achievement. Cherish the moment but also keep your eyes on the future. Embrace each challenge as an opportunity to grow and learn. Surround yourself with supportive teammates and coaches who will push you to your limits and help you reach your full potential.
Once again, congratulations on this well-deserved recognition as the best player of the session. I am incredibly proud of you and excited to witness your future accomplishments. Keep working hard, stay focused, and continue to chase your dreams. The sky's the limit!
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A certain type of cereal costs $3.79 for 19.5 ounces. What is the unit rate?
Enter your answer, rounded to the nearest cent, in the box.
Step-by-step explanation:
$3.79 ÷ 19.5 = .194
answer = $.19 per oz
Answer:
0.19
Step-by-step explanation:
I took the test and passed
The graph f (x) = x is shifted down 6 and to the right 3 and reflected over the x-axis. Which of the following is the function of the resulting transformation?
The function of the resulting transformation is f(x) = -x - 3 + 6.
Given:
The graph f (x) = x is shifted down 6 and to the right 3 and reflected over the x-axis.
The first transformation:
shifted down 6 units
f(x) = x - 6
second transformation:
x = x + 3.
f(x) = x + 3 - 6
Third transformation:
reflected over the x-axis.
f(x) = -1(x+3-6)
f(x) = -x - 3 + 6.
Therefore the function of the resulting transformation is f(x) = -x - 3 + 6.
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