Replace the value of each letter and add:
46 + 19 + 54 = 119
The answer is 119
Freddy is searching for a shirt and discovers that he has 12 shirts for every 6 pair of jeans. if he has 18 shirts how many pairs of jeans does he have now?
Answer:
9
Step-by-step explanation:
he has 2 shirts for 1 pair(s) pants so if you multiply 9 times 2 you get 18 and if you multiply 9 time 1 you get your answer which is 9
What should be done to both sides of the equation in order to solve y - 4.5 = 12.2?
Given: What should be done to both sides of the equation in order to solve y - 4.5 = 12.2?
To Find: What should be done on both side of equation.
Solution:
Step1 : Add 4.5 both sides so that +4.5 gets eliminated from LHS ,
=> y-4.5+4.5=12.2+4.5
=> y = 16.7
Hence the value of y is 16.7.
To need to solve the equation we need to add 4.5 on both sides and the value of y will be 16.7.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
In other words, the equation must be constrained with some constraints.
As per the given equation,
y - 4.5 = 12.2
Add 4.5 on both sides of the equation,
y - 4.5 + 4.5 = 12.2 + 4.5
y = 16.7
Hence "To need to solve the equation we need to add 4.5 on both sides and the value of y will be 16.7".
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Eratosthenes was born 276 BC. Abraham Lincoln died in 1865. How many years apart were these two events. Answer choices: 276 1865 1589 -1589
The number of years apart between Eratosthenes was born in 276 BC (Before Christ) Abraham Lincoln died in 1865 is 2140 years.
Eratosthenes was born in 276 BC
Abraham Lincoln died in 1865 AD
BC = Before Christ
AD = anno dominie
The difference between the born date of Eratosthenes and the death date of Abraham Lincoln is to be calculated by
Year difference = BC year + AD year - 1
Year difference = 276 + 1865 - 1
Year difference = 2140
hence the difference between the born date of Eratosthenes and the death date of Abraham Lincoln is 2140
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Arlene did chores at her house for 8 hours
last week. In the future she plans to do 2 hours
of chores per week. Write an algebraic
expression to represent the total number of
hours she will do chores.
The algebraic expression to represent the total number of hours she will do chores will be f(x) = 8 + 2x
Linear function and algebraic equationsAn algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations.
Let the number of hours she will do chores be x
Arlene did chores at her house for 8 hours last week and she plans to do 2 hours of chores per week, then the algebraic expression to represent the total number of hours she will do chores will be;
f(x) = 8 + 2x
where f(x) is the required total hour
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There are seven different roads between town A and town B, four different roads between town B and town C, and two different roads between town A and town C.
(a) How many (total) different routes are there from A to C?
(b) How many different routes are there from A to C and back to A? Note that any road can be used once in each direction.
(c) How many different routes are there from A to C and back to A in which town B is visited at least once?
(d) How many different routes are there from A to C and back to A that do not use any road twice?
4. How many nonempty collections of letters can be formed from four As and eight Bs?
please provide explanation
a. The number of different routes from A to C is 7 + 2*4 = 15.
b. The number of different routes from A to C and back to A is 15 * 15 = 225.
c. The number of different routes from A to C and back to A in which town B is visited at least once can be calculated using the formula below: total number of routes from A to C and back to A - number of routes from A to B and back to A - number of routes from A to C and back to B + number of routes from A to B and back to C = 225 - 7*7 + 4*2 + 2*4 = 196.
d. The number of different routes from A to C and back to A that do not use any road twice is equal to the total number of permutations of all routes which can be arranged without repetition. This can be calculated using the formula below: 15P15 = 15!/(15-15)! = 1,307,674,368,000.
4. The number of nonempty collections of letters that can be formed from four As and eight Bs can be calculated using the formula below: total number of collections - number of collections with only As - number of collections with only Bs = 2^12 - 1 - 1 = 4095.
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this is the question. please help me
Answer:
a.) 19.2cm
b.) 0.15375cm
Step-by-step explanation:
Cylinders are similar, so:
h1 / r1 = h2 / r2
8cm / 5cm = h2 / 12cm
h2 = (8cm × 12cm) / 5cm
h2 = 19.2cm
Same for b
32000cm2 / 246cm = 20cm2 / length
length = ((20 × 246) / 32000) cm
length = 0.15375cm
In isosceles trapezoid JKLM the legs are JK=8x+5 and LM=10x+4. Find the value of x?
Answer:
x = 1/2
Step-by-step explanation:
10x + 4 = 8x + 5
2x = 1
x = 1/2
a researcher designs an experimental study, in which subjects are randomly assigned to four different groups. two receive the intervention, two do not. two receive a pretest, two do not. what kind of design is this?
The experimental study design described is a 2x2 factorial design, where two independent variables (intervention and pretest) are crossed to create four groups for examining the main and interaction effects on the dependent variable.
Factorial designs allow researchers to examine the effects of multiple independent variables on a dependent variable. In this case, the two independent variables are the intervention (receiving vs. not receiving) and the pretest (receiving vs. not receiving). The two levels of each independent variable are crossed to create four different groups, two of which receive the intervention and two of which do not, two of which receive a pretest, and two of which do not.
This design allows the researcher to examine both the main effects of each independent variable and the interaction effects between the two independent variables on the dependent variable.
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Which statement about the ordered pairs (2, −9) and (3, −6) is true for the equation 5x−y over 3=13?
The statement that is true for the equation 5x - y/3 = 13 and the ordered pairs (2, -9) and (3, -6) is that neither of these ordered pairs satisfies the equation.
In the given equation, we have 5x - y/3 = 13.
To check if the ordered pairs satisfy the equation, we substitute the x and y values from each pair into the equation and see if the equation holds true.
For the ordered pair (2, -9), substituting x = 2 and y = -9 into the equation gives us 5(2) - (-9)/3 = 13, which simplifies to 10 + 9/3 = 13, and further simplifies to 10 + 3 = 13.
However, 13 does not equal 13, so the equation is not satisfied.
Similarly, for the ordered pair (3, -6), substituting x = 3 and y = -6 into the equation gives us 5(3) - (-6)/3 = 13, which simplifies to 15 + 6/3 = 13, and further simplifies to 15 + 2 = 13.
Again, 17 does not equal 13, so the equation is not satisfied.
In summary, for the equation 5x - y/3 = 13, neither the ordered pair (2, -9) nor the ordered pair (3, -6) satisfies the equation when their x and y values are substituted into it.
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a factory has two assembly lines, A and B that make the same bottles. on monday only assembly line A was functioning and it made 600 bottles. on tuesday both assembly lines were functioning fit the same amount of time. line a made 270 bottles per hour and line b made 330 bottles per hour. line b made as many bottles on tuesday as line A did over both days. write and equation that can be used to find the numbers of hours,h,that the assembly lines were functioning in both days
A manufacturing plant has two assembly lines for producing glass bottles. The manager
was concerned about whether the proportion of defective bottles differs between the two
assembly lines. She gathered two independent samples and found the following data:
n 1 =100, ^p 1 =.1,n 2 =100, ^p 2 =.13.
(a) Set up the appropriate null and alternative hypotheses.
(b) Compute the value of the test statistic.
(c) Draw a conclusion as to whether there is a difference between the two assembly lines
a plant in alamo, tn, manufactures complex transformer components that must meet specific guidelines for safety. one such component is constructed to deliver 1,000 volts of electricity. a component creates a critical safety hazard if it absorbs humidity at a level above 3%. any components that absorb too much humidity will be destroyed. a quality control inspector uses a random sample of components to conduct a hypothesis test with h0: the humidity level absorbed is 3%, and ha: the humidity level absorbed is more than 3%. what is a type i error in this context? a type i error would result in failing to reject a false null hypothesis. this means the company would believe the humidity level is at most 3%, when in fact it exceeds 3%. a type i error would result in rejecting a true null hypothesis. this means the company would believe the humidity level is more than 3%, when in fact it is not more than 3%. a type i error would result in rejecting a true null hypothesis. this means the company would believe the voltage delivered is more than 1,000 volts, when the voltage is actually not more than 1,000 volts. a type i error would result in failing to reject a false null hypothesis. this means the company would believe the voltage delivered is no more than 1,000 volts, when the voltage is actually more than 1,000 volts.
It is important to avoid Type I errors and ensure that the null hypothesis is correctly accepted or rejected based on the results of the hypothesis test. This ensures that the transformer components manufactured by the plant in Alamo, TN are safe and reliable for use.
In this scenario, the plant in Alamo, TN manufactures complex transformer components that need to meet specific safety guidelines. One critical component must deliver 1,000 volts of electricity and cannot absorb more than 3% humidity. To ensure quality control, a hypothesis test is conducted with the null hypothesis (H0) stating that the humidity level absorbed is 3%, and the alternative hypothesis (Ha) stating that the humidity level absorbed is more than 3%. A Type I error in this context would result in rejecting a true null hypothesis. This means that the company would believe that the humidity level absorbed is more than 3%, when in fact it is not more than 3%. This could lead to the company rejecting components that are actually safe to use, leading to a loss in production and revenue.
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I need help desperately
Answer:
y = x + 4
Step-by-step explanation:
slope = 1
b = 4
Tìm hai số có tổng là 177. Nếu bớt số thứ nhất đi 17 đơn vị và thêm vào số thứ hai 25 đơn vị thì số thứ nhất bằng 2/3 số thứ 2
Trả lời:
86 và 91
Giải thích từng bước:
Cho hai số là x và y. Nếu tổng của chúng là 177, thì;
x + y = 177 ... 1
Nếu 17 bị trừ đi số đầu tiên, nó được biểu thị là x - 17
Nếu 25 được thêm vào số thứ hai l, nó được biểu thị bằng y + 25
Nếu số thứ nhất bây giờ bằng 2/3 số thứ hai, thì:
x-17 = 2/3 (y + 25) .... 2
Từ 1, x = 177-y ... 3
Thay thế 3 thành 2
177-y-17 = 2/3 (y + 25)
160-y = 2/3 (y + 25)
3 (160-y) = 2 (y + 25)
480-3y = 2y + 50
-3y-2y = 50-480
-5y = -430
y = 430/5
y = 86
Vì x = 177-y
x = 177-86
x = 91
Do đó hai số là 86 và 91
Mr. Reynolds has finally perfected his pizza sauce recipe, so now he can open his new pizza restaurant! He ordered a new, wood-fired pizza oven to make the pizzas in. The oven is shaped like a rectangular prism. It is 6 feet long, 5 feet wide, and has a volume of 195 cubic feet. How tall is the pizza oven? Write your answer as a whole number or decimal. Do not round.
The pizza is 6.5 feet tall in height
How to determine the height of the pizza?From the question, we have the following parameters that can be used in our computation:
Volume = 195 cubic feet
Length = 6 feet
Width = 5 feet
The height of the pizza can be calculate using
Height = Volume/(Length * Width)
Substitute the known values in the above equation, so, we have the following representation
Height = 195/(6 * 5)
Evaluate
Height = 6.5
Hence, the height is 6.5 feet
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13. A class of 32 students consists of 12 girls and 20 boys. A committee of six students is being chosen from this class to plan a school event. Determine the number of 6 student committees that can be formed if: a. the six students are chosen at random ( 1 mark) b. the committee must consist of 3 girls and 3 boys ( 1 mark) c. the committee must have exactly 4 boys ( 1 mark) d. the committee must have 1 or 2 girls. ( 1 mark) e. Sam and Jordan (who are both girls) must be on the committee, and the remaining students are randomly selected. (1 mark) f. there must be at least one boy on the committee ( 1 mark)
The number of student committees for each scenario is as follows: a. 906,192, b. 250,800, c. 319,290, d. 39,960, e. 39,900, f. 905,268. To determine the number of student committees that can be formed:
From a class of 32 students, with 12 girls and 20 boys, we can follow these steps for each scenario:
a. Choosing the six students at random:
In this case, we need to calculate the number of ways to choose six students out of 32 without any specific requirements.
We can use the combination formula: C(n, r) = n! / (r!(n-r)!), where n is the total number of students and r is the number of students to be chosen.
So, C(32, 6) = 32! / (6!(32-6)!) = 906,192.
b. Committee consisting of 3 girls and 3 boys:
We need to calculate the number of ways to choose 3 girls out of 12 and 3 boys out of 20.
Using the combination formula, C(12, 3) * C(20, 3) = (12! / (3!(12-3)!) * 20! / (3!(20-3)!) = 220 * 1140 = 250,800.
c. Committee with exactly 4 boys:
We need to calculate the number of ways to choose 4 boys out of 20 and 2 remaining students out of the 12 girls.
C(20, 4) * C(12, 2) = (20! / (4!(20-4)!) * 12! / (2!(12-2)!) = 4,845 * 66 = 319,290.
d. Committee with 1 or 2 girls:
We need to calculate the number of ways to choose 1 girl and 5 boys, as well as 2 girls and 4 boys, and then sum the two possibilities.
C(12, 1) * C(20, 5) + C(12, 2) * C(20, 4) = (12! / (1!(12-1)!) * 20! / (5!(20-5)!) + (12! / (2!(12-2)!) * 20! / (4!(20-4)!) = 12,240 + 27,720 = 39,960.
e. Sam and Jordan must be on the committee:
Since Sam and Jordan are both girls and must be on the committee, we need to choose 4 more students out of the remaining 10 girls and 20 boys.
C(10, 4) * C(20, 2) = (10! / (4!(10-4)!) * 20! / (2!(20-2)!) = 210 * 190 = 39,900.
f. Committee with at least one boy:
To calculate this, we need to find the total number of committees and subtract the number of all-girl committees.
Total committees: C(32, 6) = 906,192.
All-girl committees: C(12, 6) = 924.
Committees with at least one boy: 906,192 - 924 = 905,268.
Therefore, the number of student committees for each scenario is as follows:
a. 906,192
b. 250,800
c. 319,290
d. 39,960
e. 39,900
f. 905,268.
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on exploration 4.3.3, what is a vertical asymptote for question 2?
A vertical asymptote is a line on the x-axis where the graph of a function approaches infinitely close but does not actually reach. In this case, the vertical asymptote is x = 4.
In exploration 4.3.3, the vertical asymptote for question 2 is at x = -2. Let's see what is meant by a vertical asymptote.What is a vertical asymptote?A vertical asymptote is a line that a function approaches but never touches.
The curve gets arbitrarily close to the vertical line but never touches it. When the function approaches a vertical asymptote, the function approaches infinity or negative infinity.For instance, consider the function f(x) = 1/x. It has a vertical asymptote at x = 0. This is because the function's value becomes increasingly larger as x approaches 0 from the positive side, and the value of the function becomes increasingly smaller as x approaches 0 from the negative side.Therefore, if a curve goes on increasing or decreasing on both sides of a vertical line (called a vertical asymptote), the curve approaches that line but never touches it. This is the basic idea of a vertical asymptote.What is the vertical asymptote for question 2?The rational function f(x) = (x + 2) / [(x + 2)^2 - 4] is being studied in question 2 of exploration 4.3.3. It can be seen that (x + 2)^2 - 4 = (x + 2 - 2)(x + 2 + 2) = (x)(x + 4).Therefore, the denominator (x + 2)^2 - 4 can be written as (x)(x + 4).The vertical asymptotes of a rational function occur where the denominator equals zero. Since the denominator is (x)(x + 4), the vertical asymptotes occur where x = 0 or x = -4.However, x = 0 is not a vertical asymptote because there is a hole in the graph. So, the only vertical asymptote is at x = -2. This means that the curve approaches x = -2 but never touches it. Therefore, the vertical asymptote for question 2 in exploration 4.3.3 is x = -2.
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At a hot dog eating contest, Flora ate 3 hot dogs in one minute. At this rate, how many hot dogs will Flora eat in 12 minutes? Write a proportion and solve.
Answer:36
Step-by-step explanation:
3 a minute
18 in 6 minutes
36 in 12
3:1
Which of the following shows the power of a Quotient Property?
The power of a quotient states that if you power a quotient, the result is equal as if you had powered the numerator and denominator by the same index separatelly before makinf the division
\((\frac{a}{b})^2=\frac{a^2}{b^2}\)Celine goes to the book fair where paperback books are $2 and hardback books are $4.50. Celine buys three
paperback and 5 hardback books. How much change will Celine receive if she has $35?
7. Equation:
8. Solve:
Answer:
7. 35-(2*3+5*4.5)
8. 6.5
what is the value of B is the value of A+ is 15?
Answer:
This is impossible to know since their is no refrence to b in the equation
a+15
Hope This Helps!!!
PLS HELPPPP GRADES DUE!
Answer:
Step-by-step explanation:
Starting with ΔABC, draw the dilation image of the triangle with a center at the origin and a scale factor of two. Notice that every coordinate of the original triangle has been multiplied by the scale factor (x2). Dilations involve multiplication! Dilation with scale factor 2, multiply by 2
Answer:
Yea wut she said ._. above me...
Step-by-step explanation:
Can someone explain this and help me with the answer?
Answer:
Distributive Property, Subtraction Property of Equality, Subtraction Property of Equality, Division Property of Equality
Step-by-step explanation:
First, you need to distribute. Next, you subtract on both sides. Then, you subtract again. Finally, you divide.
Suppose that X is a random variable with mean 20 and standard deviation 4. Also suppose that Y is a random variable with mean 40 and standard deviation 7. Find the mean and the variance of the random variable Z for each of the following cases. Be sure to show your work.
(a) Z = 40 - 5X
(b) Z = 15X - 20
(c) Z = X + Y
(d) Z = X - Y
(e) Z = -2X + 3Y
(a) The mean of Z in case (a) is -60 and the variance is 400.
(b) The mean of Z in case (b) is 280 and the variance is 3600.
(c) The mean of Z in case (c) is 60 and the variance is 65.
(d) The mean of Z in case (d) is -20 and the variance is 65.
(e) The mean of Z in case (e) is 80 and the variance is 505.
To find the mean and variance of the random variable Z for each case, we can use the properties of means and variances.
(a) Z = 40 - 5X
Mean of Z:
E(Z) = E(40 - 5X) = 40 - 5E(X) = 40 - 5 * 20 = 40 - 100 = -60
Variance of Z:
Var(Z) = Var(40 - 5X) = Var(-5X) = (-5)² * Var(X) = 25 * Var(X) = 25 * (4)² = 25 * 16 = 400
Therefore, the mean of Z in case (a) is -60 and the variance is 400.
(b) Z = 15X - 20
Mean of Z:
E(Z) = E(15X - 20) = 15E(X) - 20 = 15 * 20 - 20 = 300 - 20 = 280
Variance of Z:
Var(Z) = Var(15X - 20) = Var(15X) = (15)² * Var(X) = 225 * Var(X) = 225 * (4)² = 225 * 16 = 3600
Therefore, the mean of Z in case (b) is 280 and the variance is 3600.
(c) Z = X + Y
Mean of Z:
E(Z) = E(X + Y) = E(X) + E(Y) = 20 + 40 = 60
Variance of Z:
Var(Z) = Var(X + Y) = Var(X) + Var(Y) = (4)² + (7)² = 16 + 49 = 65
Therefore, the mean of Z in case (c) is 60 and the variance is 65.
(d) Z = X - Y
Mean of Z:
E(Z) = E(X - Y) = E(X) - E(Y) = 20 - 40 = -20
Variance of Z:
Var(Z) = Var(X - Y) = Var(X) + Var(Y) = (4)² + (7)² = 16 + 49 = 65
Therefore, the mean of Z in case (d) is -20 and the variance is 65.
(e) Z = -2X + 3Y
Mean of Z:
E(Z) = E(-2X + 3Y) = -2E(X) + 3E(Y) = -2 * 20 + 3 * 40 = -40 + 120 = 80
Variance of Z:
Var(Z) = Var(-2X + 3Y) = (-2)² * Var(X) + (3)² * Var(Y) = 4 * 16 + 9 * 49 = 64 + 441 = 505
Therefore, the mean of Z in case (e) is 80 and the variance is 505.
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Ms. Stone decided to purchase 2 reusable bottles instead. When she got to the counter, she realized she had $10.15, only ⅝ of the money she needed for the purchase. How much does 1 bottle cost?
Answer:
One reusable bottle cost $8.12
Step-by-step explanation:
Let
x=total cost of the two reusable bottles
Ms stone has 5/8 if the total cost of the two reusable bottles
5/8 of x=$10.15
5/8*x=10.15
x=10.15÷5/8
=10.15×8/5
=81.2/5
=16.24
x=$16.24
The total cost of of the two reusable bottles=$16.24
If total cost of two reusable bottles=$16.24
Cost of one reusable bottle=$16.24/2
=$8.12
One reusable bottle cost $8.12
When'd conducting a statistical hypothesis test, what is it that we are actually doing?
A. determine whether the research hypothesis is true
B. evaluating the direction of the research hypothesis
C. falsifying the null hypothesis
D. specifying a probability that H1 is equal to zero
When'd conducting a statistical hypothesis test, then falsifying the null hypothesis is it that we are actually doing.
The term hypothesis in statistics is defined as an idea or explanation that you then test through study and experimentation.
Here we need to find when'd conducting a statistical hypothesis test, what is it that we are actually doing.
As per the definition of hypothesis, the following are happen when we conduct the statistical hypothesis test,
Here at the time of Statistical analysts test a hypothesis by measuring and examining a random sample of the population being analyzed.
And the analysts use a random population sample to test two different hypotheses: the null hypothesis and the alternative hypothesis.
Based on these facts, the correct option is (C)
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( algebra ) can you please help
Answer:
-6 <= x <= 4
Step-by-step explanation:
a) -15<= 2x -3
-15+3 <= 2x
-12/2 <= x
x >= -6
b) 2x - 3 <= 5
2x <= 5 + 3
x <= 8/2
x <= 4
How do I solve this equation?
Answer:
12>7
Step-by-step explanation:
4x -3= 4x*3
4x*3= 12x
12x< 7
12> 7
I think this is right im not 100% sure thouh
The quotient of two numbers is negative. What must be true about the two numbers?
The dividend is negative.
The divisor is negative.
Either the dividend or the divisor is negative, but not both.
Both the divisor and the dividend are negative.
Answer:
C
Step-by-step explanation:
Answer:
the correct answer is c on edge 20/21
Step-by-step explanation:
the length of time patients must wait to see a doctor in a local clinic is uniformly distributed between 25 minutes and 73 minutes. what is the standard deviation of wait time? group of answer choices
The standard deviation of wait time is 13.8564.
The length of time patients must wait to see a doctor in a local clinic is uniformly distributed between 25 minutes and 73 minutes. We have to find the standard deviation of the wait time.
The square root of the variance of a random variable, sample, statistical population, data collection, or probability distribution is its standard deviation. The standard deviation in statistics is a measure of the degree of variation or dispersion in a set of values. A low standard deviation implies that the values are close to the set's mean, whereas a high standard deviation shows that the values are spread out over a larger range.
S² = (73 - 25)²/12
S² = (48)²/12
S² = 192
S = √192
S = 13.8564
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Find the total surface area of the
following square pyramid:
10 cm
12 cm
SA = [?] cm2
Step-by-step explanation:
Hope this helps, happy learning!!!!
The surface area of the square pyramid will be 240 square centimeters.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The dimension of the square pyramid will be 12 cm and 10 cm.
Then the surface area of the square pyramid will be
The surface area is four times the area of the triangle.
Surface area = 4 x 1/2 x 12 x 10
Surface area = 2 x 120
Surface area = 240 sqaure cm
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