Answer:
n = 7
Step-by-step explanation:
You will want to add all common factors with each other.
So that would be n + 3n + 5n which would be 9n.
Then -8 + 1 would be -7. So now it should be 9n - 7.
You are going to set 56 equal to 9n - 7, so that would be 9n - 7 = 56.
After that, you will have to leave 9n alone by itself, so you would have to add 7 to both sides. Your final equation should be 9n = 63.
After that, you should divide both sides by 9 since you want n alone.
So 63 ÷ 9 would be 7. So at the end, n = 7.
At a cruising speed of 120 miles per hour, an airplane burns 8 gallons of fuel per hour. If the airplane covered 180 miles at cruising speed, how many gallons of fuel did it use?
A. 5.3
B. 12
C. 20
D. 22.5
Answer:
D. 22.5
Step-by-step explanation:
120 divided by 8
plus 60 divided by 8
= 22.5
(3 × 1,000) + (4 × 100) + (5 × 10) + (2 × 1)
Answer:
3452
Step-by-step explanation:
Simplify the expression, and add/muiltiply where necessary.
Which numbers are between 5 & 6 not including 5 & 6
Answer:5.1,5.2,5.3,5.4,5.6,5.7,5.8,5.9,
Step-by-step explanation:
A group of friends wants to go to the
amusement park. They have no more than
$125 to spend on parking and admission.
Parking is $9, and tickets cost $20 per
person, including tax. Write and solve an
inequality which can be used to determine
p, the number of people who can go to the
amusement park.
The required inequality solution is x ≤ 8.
What is inequality?
A connection that contrasts two numbers and perhaps other mathematical expressions inequitably is known as inequality in mathematics. On the number line, size comparisons involving two numbers are typically conducted.The interaction between two values that aren't equal is described by inequalities.An unequal comparison between two numbers and perhaps other mathematical expressions is called an inequality.x represents the number(no.) of people who can go to the amusement park.
They have no more than $125(one hundred twenty-five) to spend
Parking 15.00(fifteen), Tickets 12.50(12.five zero) per person
$15 + $12.50x ≤ $125
x = 110/12.5 ≤ 8.8
x ≤ 8
Therefore, the required inequality solution is x ≤ 8.
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Answer:
Inequality: 20p+9 ≤ 125
Answer: p ≤ 5.8
Step-by-step explanation:
Solve:
20p+9≤125
subtract -9 from both sides
20p≤116
20p/20 ≤ 116/20 Divide both sides by 20
p ≤ 5.8
If a recipe calls for 5/8 cup of milk for a cake. How much milk is in 1 2/7 cake
If a recipe calls for 5/8 cup of milk for a cake. How much milk is in 1 2/7 cake
There are two eggs per cup of milk in this recipe.
In a cake recipe, there are 4 eggs and 2 cups of milk, thus there are 4 eggs and 2 cups of milk in total.
Now, the ratio of eggs to milk in this recipe is:
Totalnumberof eggs /
totalnumberof cups of milk
= 4/2
= Number of eggs = 2
Consequently, there are two eggs per cup of milk in this recipe.
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7. The U.S. population in 2018 was estimated to be 327,200,000. Within that population, there were 30,357,000
people who were 18-29 years old and 52,431,000 people who were 65 years and older.
(a) According to the graphic, 85% of the 30,357,000 people who are 18-29 years old have tried vaping or
electronic cigarettes. Approximately how many people ages 18-29 said they have tried vaping or e-cigarettes?
Show your work.
(1 pt)
(b) Approximately how many people ages 65 and older said they have tried vaping or e-cigarettes? Show your
work.
(1 pt)
(c) Based on those estimates, how many more people ages 18-29 said they had tried vaping or e-cigarettes than
people ages 65 and older? Show your work.
(1 pt)
D
C
200 a
Given :
Data interpretation refers to the process of using diverse analytical methods to review data and arrive at relevant conclusions. The interpretation of data helps researchers to categorize, manipulate, and summarize the information in order to answer critical questions.
The importance of data interpretation is evident and this is why it needs to be done properly. Data is very likely to arrive from multiple sources and has a tendency to enter the analysis process with haphazard ordering. Data analysis tends to be extremely subjective. That is to say, the nature and goal of interpretation will vary from business to business, likely correlating to the type of data being analyzed. While there are several different types of processes that are implemented based on individual data nature, the two broadest and most common categories are “quantitative analysis” and “qualitative analysis”
.
U.S. population in 2018 was estimated to be 327,200,000
people who were 18-29 years old = 30,357,000
people who were 65 years= 52,431,000
85% of the 30,357,000 people who are 18-29 years old have tried vaping or
electronic cigarettes = 30,357,000 x85/100
people ages 18-29 said they have tried vaping or e-cigarettes
=2,580,345
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evaluate |3-5+7|
a-15
b-5
c- -15
d- -5
The average American dollar bill ($1) weighs about 1.000 gram. Five students weighed the same dollar bill on the same balance. Their results were:
Student 1: 1.040 grams
Student 2: 0.989 grams
Student 3: 1.009 grams
Student 4: 1.026 grams
Student 5: 0.999 grams
Determine:
a) the average
b) the average deviation
c) the relative of percent deviation
Using their concepts, we have that the measures are given as follows:
a) Mean of 1.0126.
b) Average deviation of 0.01632.
c) Percent deviation of 1.6%.
What is the mean?The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.
For this problem, the 5 observations are given as follows:
1.040, 0.989, 1.009, 1.026, 0.999.
Hence the mean is given by:
M = (1.040 + 0.989 + 1.009 + 1.026 + 0.999)/5 = 1.0126.
What is the average deviation?The average deviation of a data-set is given by the sum of the absolute values of the difference between each value and the mean, divided by the number of observations.
Hence:
Ad = (|1.040-1.0126| + |0.989-1.0126| + |1.009-1.0126| + |1.026-1.0126| + |0.999-1.0126|)/5 = 0.01632.
What is the percent deviation?The percent deviation of a data-set is given by the absolute deviation divided by the mean and multiplied by 100%.
Hence:
0.01632/1.0126 x 100% = 1.6%.
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What is the simplified form of (-5+21) -(5-31)?
A
-10-i
B
-10+5i
- i
5i
WILL GIVE BRIANLIEST
Emma is baking cookies for her sisters birthday. She is using a bowl in the shape of a hemisphere with a diameter of 11.5 inches. If the bowl is completely full of dough and each cookie is 8.295 cubic inches of dough, how many cookies can she make
Considering the volume of the hemisphere, it is found that she can make 48 cookies.
What is the volume of an hemisphere?The volume of an hemisphere of radius r is given as follows:
[tex]V = \frac{2\pi r^3}{3}[/tex]
The radius is half the diameter, hence, for this problem:
r = 11.5/2 = 5.75.
Hence the volume of the bowl in cubic inches is given as follows:
V = 2π(5.75)³/3 = 398.16 cubic inches.
Consider the volume of a single cookie, the number of cookies that she can make is given by:
398.16/8.295 = 48 cookies.
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What is the range of the function f(x) = x^2– 1 over the interval of -1 ≤ x < 3? Give your answer in interval notation.
Answer:
[0, 8)
Step-by-step explanation:
To find the range, compute the values of the function at the edges of the interval.
The interval edges are -1 and 3
f(x = -1) = (-1)² - 1 = 1 - 1 = 0.
f(x = 3) = 3² - 1 = 9 - 1 = 8 but does not include 3 so
so range of f(x) : 0 ≤ f(x) < 8
Note that we cannot have f(x) ≤ 8 only < 8 since the interval does not include x = 3
Range in interval notation is [0, 8)
The use of the square brackets on the left means the number is included in the interval; so 0 is included ( ≥ ).
The round brackets on the right mean that the number is not include (< 8 )
A 10-lb bag of flour costs $3.69. A
5-lb bag costs $1.55. How much can
you save if you buy the big bag
instead of 2 small bags?
$0.29 you save if you buy the big bag instead of 2 small bags .
The unitary method is a strategy that determines the value of many units based on the value of a single unit in addition to calculating the value of a single unit using the values of multiple units.
We must divide the value of one thing by the number of other items we wish to calculate the value of before multiplying that result by one.
From the question,
A huge bag of flour weighing 10 lbs costs $3.69 in total.
Currently, one 5-lb small bag costs $1.55.
Consequently, two 5-lb little bags cost $3.10 each.
Cost difference equals big bag cost minus two small bag expenses.
The price difference is equal to $3.69 minus $3.10.
$0.29 is the cost difference.
By purchasing two small bags of floor instead of one large bag, you will save $0.29.
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The 1st, 2nd and 3rd terms of a geometric progression are the 1st, 9th and 21st terms of an arithmetic progression respectively. Given that the 1st term of both progressions is 8 and the common ratio of the geometric progression, r not equation of 1 .Find .
a.The value of r
b.the 4th term of each progression
a. The value of r = 3, -1/2.
b. The 4th term of each progression;
for r = 3; AP = 14, GP = 216.for r = -1/2; AP = 7/2, GP = 1/2.What is defined by AP and GP?An Arithmetic Progression (AP) is a collection of terms with the same differences between them. In a Geometric Progression (GP), each successive term is created by multiplying the common ratio by previously acted.As, per the given question;
Let the first three terms of GP be a, ar, and ar².
The 1st, 2nd and 3rd terms of a GP equals 1st, 9th and 21st terms of an AP respectively.
First term are equal; a = a2nd term GP = 9th term of AP; ar = a + 8d. 3rd term GP = 21st term of AP; ar² = a + 20d.where, 'r' is the common ratio in GP and 'd' is the common difference in AP.
Part 1: Multiply equation 1 by 5 and 2 by 2 and subtract 1 from 2.
2ar² - 5ar - 3a = 0
Put a = 8 and solving.
16r² - 40r - 24 = 0.
Factorising the above equation;
(r - 3)(2r + 1) = 0
Thus, r = 3 and r = -1/2
Part 2:
Case 1: For r = 3; a =8;
ar = a + 8d
d = 2.
Thus, 4th term = a + 3d
= 8 + 3×2
4th term = 14.
For GP;
4th term = ar³
= 8(3)³
4th term = 216.
Case 2: For r = -1/2; a =8;
ar = a + 8d
d = -3/2
Thus, 4th term = a + 3d
= 8 + 3×(-3/2)
4th term = 7/2
For GP;
4th term = ar³
= 8(-1/2)³
4th term = -1.
Therefore, the values for the r and 4th term is estimated.
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Can anyone please help me with #3 ASAP I’ll mark you brainly
Which of the graphs of the inequality y+1<2(x-2)?
Answer:
x> 1/2 y+5/2
i hope this helps you <33
Use braces to write the members of the set, or state that the set has no members.
The integers from 6 to 10 (inclusive)
A.
{7, 8, 9}
B.
{6, 7, 8, 9}
{6, 7, 8, 9}
{6, 7, 8, 9}
{6, 7, 8, 9}
C.
{7, 8, 9, 10}
D.
{6, 7, 8, 9, 10}
The integers from 6 to 10 (inclusive).will be D. {6, 7, 8, 9, 10}.
How to compute the value?It should be noted that the integers given are from 6 to 10 (inclusive).
In this case, this simply means the numbers from 6 to 10.
Therefore, the appropriate number will be: D.
{6, 7, 8, 9, 10}
In conclusion, the correct option is D.
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maths geometry question
Step-by-step explanation:
with ABCD and ABDE being parallelograms, this means a indicated by the marks
AB = ED = CD
and with BD = DF that means that the line segments BF and CE are intersecting each other at their midpoint.
so they represent a pair of diagonals of a parallelogram, which makes BCFE a parallelogram.
Points P(-6,10), Q(0,6), and R are collinear. One of the points is the midpoint of the segment formed by the other two points. a. What are the possible coordinates of R? b. RQ=√208. Does this information affect the answer to part a? a. The possible coordinates of R are (, ) (Type an ordered pair. Use a comma to separate answers as needed.)
Answer:
a. (-12, 14), (6, 2), (-3, 8)
b. yes; R(-12, 14)
Step-by-step explanation:
Points P(-6, 10), Q(0, -6), and R lie on a line, with one of them being the midpoint of the other two. You want to know the possible locations of R, and its location if RQ=√208.
SetupPoint M is the midpoint of AB when ...
M = (A +B)/2
If M and A are given, then B is ...
2M -A = B . . . . . . above equation solved for B
a. Possible locations of RThere are three choices for the location of R.
P is the midpoint
R = 2P -Q = 2(-6, 10) -(0, 6) = (-12, 20-6)
R = (-12, 14)
Q is the midpoint
R = 2Q -P = 2(0, 6) -(-6, 10) = (6, 12 -10)
R = (6, 2)
R is the midpoint
R = (P +Q)/2 = ((-6, 10) +(0, 6))/2 = (-6, 16)/2
R = (-3, 8)
The possible coordinates of R are (-12, 14), (6, 2), (-3, 8).
b. R for RQ=√208The length of the given segment PQ is ...
d = √((x2 -x1)² +(y2 -y1)²) . . . . . distance formula
d = √((0 -(-6))² +(6 -10)²) = √(6² +(-4)²) = √(36 +16) = √52
This is half the length of RQ, so we must have P as the midpoint of RQ.
This distance information chooses one of the three points found in part (a), R(-12, 14).
how does this trick work? why does it always give the correct date of birthday?
The expression can be simplified to:
x + y/100
Where x is the month and y the day. This is why it always works.
Why does the trick always work?Let's define the two variables x and y as the month of your birth and the day of your birth respectively.
Now let's write the expression by following the steps, you should get:
((((7*x - 1)*13 + y + 3)*11 - x - y)/10 + 11)/100
Now let's simplify the expression we will get:
((((7*x - 1)*13 + y + 3)*11 - x - y)/10 + 11)/100
(((91x - 13 + y + 3)*11 - x - y)/10 + 11)/100
(((91x - 10 + y)*11 - x - y)/10 + 11)/100
((1001x - 110 + 11y - x - y)/10 + 11)/100
(( 1000x - 110 + 10y)/10 + 11)/100
You already can see what will happen here:
(( 1000x - 110 + 10y)/10 + 11)/100
(100x - 11 + y + 11)/100
(100x + y)/100 = x + y/100
So the expression will do the exact same thing for every values of x and y that you decide to use, it does not depend on your exact date of birthday.
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The order in which a ratio is written is _____ to the meaning.
Answer:
1propotion 2fraction is how it goes
A woman deposits $12,000 at the end of each year for 12 years in an investment account with a guaranteed interest
rate of 5% compounded annually.
(a) Find the value in the account at the end of the 12 years.
(b) Her sister works for an investment firm that pays 4% compounded annually. If the woman deposits money with this
firm instead of the one in part (a), how much will she have in her account at the end of 12 years?
(c) How much would she lose or gain over 12 years by investing in her sister's firm?
Answer:
(a) $191,005.52
(b) $180,309.67
(c) lose $10,695.85
Step-by-step explanation:
You want the future values of an ordinary annuity of $12,000 over 12 years at interest rates of 5% and 4%. You also want the difference between the values.
(a) 5%The future value of an ordinary annuity with n annual deposits of P, at interest rate r compounded annually is given by ...
FV = P((1+r)^n -1)/r
The value of $12,000 deposited for 12 years at 5% is ...
FV = $12,000((1.05^12 -1)/0.05 = $191,005.52
At the end of 12 years, she will have $192,005.52 in her account.
(b) 4%The value of $12,000 deposited for 12 years at 4% is ...
FV = $12,000((1.04^12 -1)/0.04 = $180,309.67
At the end of 12 years, she will have $180,309.67 in her account.
(c) differenceThe amount at 5% is greater, so by investing in her sister's firm, the woman would lose ...
$192,005.52 -180,309.67 = $10,695.85 . . . . amount lost
6 mm
4 mm
h
12 mm
8.5 mm
Jaylan makes limeade using 3/4 cup of water for every 1/5 cup of lime juice. Rene's limeade recipe is different. He uses 2/3 cup of water for every 1/6 cup of lime juice.
whose limeade has a weaker flavor
Rene's limeade has a weaker flavor as calculated by division of fractions.
One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division.
The other operations are multiplication, addition, and subtraction.On a fundamental level, counting the instances in which one number is included within another is one interpretation of the division of two natural numbers. It's not necessary for this number to be an integer.When no more full chunks of the size of the second number can be allocated during the computation of the quotient, the division with remainder or Euclidean division of two natural numbers yields an integer quotient,Which is the number of times the second number is entirely contained in the first number, and a remainder, which is the portion of the first number that remains.Concentration of Jaylan's limeade [tex]=\frac{3}{4} \div\frac{1}{5} = \frac{15}{4} =3.75[/tex]
Therefore as calculated by division of fractions, concentration of Jaylan's limeade is 3.75 cups of water for 1 cup of lime juice.
Concentration of Rene's Limeade[tex]=\frac{2}{3} \div\frac{1}{6} = \frac{12}{3} =4[/tex]
Therefore as calculated by division of fractions, concentration of Rene's limeade is 4 cups of water for 1 cup of lime juice.
Hence Rene's limeade has a weaker flavor as calculated by division of fractions.
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Alguien me podria ayudar a resolver o explicar como cintestar ests problemas, fue el primer dia de uni y no lo explico bien el maestro porque segun es nuevo.
Could someone help me solve these problems or explain me how to solve them, it was the first day of university and the teacher didn't explain quiet well because supposedly he is new
Las soluciones para los dos primeros ejercicios son:
10² + 6³ - [4*(5 - 2)]² = 172-3² + (-2)⁴ + - 4³ + (-2)⁴ = -41¿Como resolver operaciones combinadas?Vamos a ver la primer operacion, está es:
10² + 6³ - [4*(5 - 2)]²
Primero se resuelve lo que esta adentro del parentesis, en este caso:
5 - 2 = 3
Reemplazamos eso:
10² + 6³ - [4*(3)]²
Luego se resuelve lo que está dentro de los corchets:
4*3 = 12
Reempazamos eso para obtener:
10² + 6³ - [12]²
Ahora podemos resolver los exponentes, recordar que el exponente nos dice cuantas veces debemos multiplicar un número por si mismo, entonces:
10² = 10*10 = 100
6³ = 6*6*6 = 216
[12]² = 12*12 = 144
Reemplazando eso obtenemos:
100 + 216 - 144 = 316 - 144 = 172
Veamos tambien el siguiente problema:
-3² + (-2)⁴ + - 4³ + (-2)⁴
Apliquemos los exponentes, primero tenemos:
-3²
Notar que el exponente se le aplica solamente al 3, no al signo, entonces:
-3² = -(3)² = -3*3 = -9
En cambio, en:
(-2)⁴
El exponente si se le aplica al signo, entonces:
(-2)⁴ = (-2)*(-2)*(-2)*(-2) = 4*4 = 16
Los otros dos terminos dan:
- 4³ = -4*4*4 = -64
(-2)⁴ = 16
Reemplazando eso en la expresión:
-3² + (-2)⁴ + - 4³ + (-2)⁴ = -9 + 16 - 64 + 16 = -41
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Plss help mee pls
Can someone answer this or look for the answer keys pls help
Answer:
11. 6
13. 73
15. 588
17. 139
19. 18
21. 18
23. 8
Step-by-step explanation:
To solve these equations, you simplify each expression. You also use the order of operations.
2 5/8 divided by 2 1/4
hi
2* 5/8 = 10/8 = 5*2 /4*2 = 5/4
and 2*1/4 = 1/2
so : 2*5/8 / 2/4 = 5/4 / 1/2 = 5/4 * 2/1 = 5*2 / 2*2*1 = 5/2
Answer:
[tex]=1\frac{1}{6}[/tex] or 7/6
Step-by-step explanation:
[tex]=\frac{21}{8}\div \frac{9}{4}[/tex] <- Convert to improper fraction
[tex]=\frac{21}{8}\times \frac{4}{9}[/tex] <- Fraction Rule
[tex]=\frac{84}{72}[/tex]
[tex]=\frac{7}{6}[/tex]
[tex]=1\frac{1}{6}[/tex]
Find the circumference and area of a circle with radius 7 cm. Express your answer in terms of π.
Answer:
Circumference = 2πr=2×
7
22
×7=44 cm
Area = πr
2
=
7
22
×7×7=154 cm
2
Answer:
With a circle with radius 7 cm, the circumference of given circle is 14π (cm) and the area is 49π (cm²).
Step-by-step explanation:
Given: radius = 7 cm
Circumference of a circle: C = 2πr
C = 2πr
Substitute given value radius.
C = 2π(7)
Multiply 7 and 2.
C = 14π cm.
Area of a circle: A = πr²
A = πr²
Substitute given value radius.
A = π(7)²
Square the 7.
A = 49π cm²
A production assistant must divide a page of text into two columns. If the page is 6 3/4 inches wide, how wide will each column be
The width of each column is 3.375.
According to the statement
We have to find that the width of the each column.
So, For this purpose, we know that the
Width is the the horizontal measurement taken at right angles to the length.
In other words, It is the distance from one side to the other side which measures across a particular shape or object whose lengths are forming right angles with the sides as in the case of a rectangle.
From the given information:
A production assistant must divide a page of text into two columns. If the page is 6 3/4 inches wide.
Then
width of the page = 27/4 inches
And the number column is divided into page = 2
Then
The width of column = width of the page/ column in a page
The width of column = 27/4/ 2
The width of column = 6.75/ 2
The width of column = 3.375.
So, The width of each column is 3.375.
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Please help me yall!! This is due tomorrow… I would really appreciate it if y’all could give me some feedback!! Please and thank you!!
Answer:
[tex]\sf (A' \cap B) \cup (A' \cap C') =\{1,6,7\}[/tex]
Step-by-step explanation:
[tex]\begin{array}{|c|c|l|} \cline{1-3} \sf Symbol & \sf N\:\!ame & \sf Meaning \\\cline{1-3} \{ \: \} & \sf Set & \sf A\:collection\:of\:elements\\\cline{1-3} \cup & \sf Union & \sf A \cup B=elements\:in\:A\:or\:B\:(or\:both)}\\\cline{1-3} \cap & \sf Intersection & \sf A \cap B=elements\: in \:both\: A \:and \:B} \\\cline{1-3} \sf ' \:or\: ^c & \sf Complement & \sf A'=elements\: not\: in\: A \\\cline{1-3} \sf - & \sf Difference & \sf A-B=elements \:in \:A \:but\: not\: in \:B}\\\cline{1-3} \end{array}[/tex]
Given sets:
Universal = {1, 2, 3, 4, 5, 6, 7, 8}A = {2, 4, 5, 8}B = {1, 4, 6}C = {1, 2, 3, 4, 5}Therefore, the complement sets are:
[tex]\begin{aligned}\sf A' & = \text{U}-\sf A\\& = \{1,2,3,4,5,6,7,8 \}- \{2,4,5,8 \}\\& = \{1,3,6,7 \}\end{aligned}[/tex]
[tex]\begin{aligned}\sf B' & = \text{U}-\sf B\\& = \{1,2,3,4,5,6,7,8 \}- \{1,4,6 \}\\& = \{2,3,5,7,8 \}\end{aligned}[/tex]
[tex]\begin{aligned}\sf C' & = \text{U}-\sf C\\& = \{1,2,3,4,5,6,7,8 \}- \{1,2,3,4,5 \}\\& = \{6,7,8 \}\end{aligned}[/tex]
Solution
[tex]\begin{aligned}\sf (A' \cap B) \cup (A' \cap C') & = \sf \left(\{1,3,6,7 \} \cap \{1,4,6\} \right) \cup \left(\{1,3,6,7 \} \cap \{6, 7, 8 \} \right)\\\\& = \sf \{1,6\} \cup \{6,7 \} \\\\& = \sf \{1,6,7\} \end{aligned}[/tex]
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Can someone help me with this part and explain me, please?
