Option B. Theresa's work is correct its shows that Matrix multiplication is not commutative.
Is matrix multiplication commutative?
Clearly, it is true that AB and BA are distinct matrices, so matrix multiplication is not generally commutable.
Nevertheless, there are special conditions where the product of matrices could be commutable, such as when one of them is an id matrix or diagonal matrix with equivalent diagonal entries.
Hence we can say that Theresa's work is correct its shows that Matrix multiplication is not commutative. since the results are different
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[tex]\frac{1}{4} x \frac{25}{25} =[/tex]
The value of the product is 1/4
How to determine the productTo determine the value of the product, we need to take note that fractions are described as the part of a whole number, element, or variable.
In mathematics, there are different types of fractions, namely;
Simple fractionsComplex fractionsImproper fractionsProper fractionsMixed fractionsFrom the information given, we have that;
1/4 × 25/25
Now, multiply the numerators
25/4(25)
Multiply the denominators
25/100
Divide the values
1/4
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Nathaniel kicks a football. The graph below shows the height of the football h
in meters after t seconds. After how many seconds does the football hit the
ground?
The number of seconds where the football hit the ground is 2 seconds
After how many seconds does the football hit the groundFrom the question, we have the following parameters that can be used in our computation:
The graph
The number of seconds where the football hit the ground is when the graph intersects with the x-axis at the second time
In this case, the point is (2, 0)
Also, the seconds is represented by x
So, we have
x = 2
Hence, the seconds the football hits the ground is 2
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HELP ASAP 20 POINTS 7th grade math
a) The probability of picking a blue tile = 1/5
b) The probability of picking a yellow tile = 1/2
c) The probability of picking a red tile = 3/10
Given data ,
Let the total number of tiles in the bag = 10 tiles
The number of blue tiles = 2
The number of red tiles = 3
The number of yellow tiles = 5
So , probability of picking a blue tile = 2/10 = 1/5
Now , probability of picking a yellow tile = 5 / 10 = 1/2
And , probability of picking a red tile = 3/10
Hence , the probability is solved
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pls help How is the equation of a hyperbola different from the equation of an ellipse?
Answer:
1) The sum of the distances between the points on the ellipse and the foci is constant, whereas the difference between the distances between the points on the hyperbola and the foci is constant.
2) The equation of an ellipse is in the form (x^2/a^2) + (y^2/b^2) = 1, where a and b are the lengths of the semi-major and semi-minor axes, respectively. In contrast, the equation of a hyperbola is in the form (x^2/a^2) - (y^2/b^2) = 1, where a and b are also the lengths of the semi-major and semi-minor axes, respectively, but the difference between a and b determines the shape of the hyperbola.
Step-by-step explanation:
After selling some old books and toys, Gwen and her brother Max had 5 one-dollar bills, 6 quarters, and 8 dimes.
Part A:
What is the total amount of money earned?
Part B:
Max and Gwen decide to divide the money equally. Max said that he and Gwen cannot get even amounts of money because 5 one-dollar bills cannot be divided evenly. Do you agree with Max? Explain.
a) The total amount of money earned is 7.30 dollars.
b) Max is wrong, it is possible to divide the money equally between Gwen and Max, even though the total amount is an odd number.
a) To find the total amount of money earned, we need to convert the number of quarters and dimes to dollars.
6 quarters = 6 * 0.25 = 1.50 dollars
8 dimes = 8 * 0.10 = 0.80 dollars
The total amount of money earned is:
5 dollars + 1.50 dollars + 0.80 dollars = 7.30 dollars
b) Max is incorrect. The total amount of money earned is an odd number ($7.30), which means it is impossible to divide it equally between two people in whole dollar amounts. However, it is possible to divide the total amount equally if we allow for fractions of a dollar.
For example, if we split the money equally, Gwen and Max would each get $3.65. This means that Gwen would get 3 dollars and 65 cents, while Max would also get 3 dollars and 65 cents.
Therefore, it is possible to divide the money equally between Gwen and Max, even though the total amount is an odd number.
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Which point justifies the shaded area by satisfying StartFraction (y + 1) squared Over 6 EndFraction minus StartFraction (x + 2) squared Over 24 EndFraction greater-than-or-equal-to 1?
(12, 6)
(–2, 6)
(8, –6)
(–1, –2)
Please help asap test is timed!
(–2, 6) are the points that justify the shaded area
We can substitute the values of x and y from each point into the inequality and check if the inequality is satisfied or not.
Let's check each point:
For points (12, 6):
[tex](y+1)^2/6 -(x+2)^2/24\\ = (6+1)^2/6 - (12+2)^2/24 \\= 49/6 - 196/3 \\= -57.33[/tex]
Here, the value of the expression is less than 1, so this point does not justify the shaded area.
For points (–2, 6):
[tex](y+1)^2/6 -(x+2)^2/24\\ = (6+1)^2/6 - (-2+2)^2/24 \\= 49/6[/tex]
Here, the value of the expression is greater than or equal to 1, so this point does justify the shaded area.
For points (8, –6):
[tex](y+1)^2/6 -(x+2)^2/24 \\= (-6+1)^2/6 - (8+2)^2/24 \\= 25/6-100/24[/tex]
Here, the value of the expression is greater than or equal to 1, so this point does not justify the shaded area.
For point (–1, –2):
[tex](y+1)^2/6 -(x+2)^2/24 \\= (-2+1)^2/6 - (-1+2)^2/24 \\= 1/6 - 1/24 \\= 1/8[/tex]
Here, the value of the expression is less than 1, so this point does not justify the shaded area.
Therefore, the points that justify the shaded area are (–2, 6).
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what do we mean when we use the term "variable" in statistics
In statistical analysis, variables are often used to describe and explain relationships between different variables or to predict outcomes based on certain variables.
In statistics, a variable is a characteristic or attribute that can take on different values or levels for different individuals or objects being studied. Variables can be classified as either quantitative or qualitative.
Quantitative variables are numerical in nature and can be further classified as discrete or continuous. Discrete variables can only take on specific values (such as the number of children in a family), while continuous variables can take on any value within a certain range (such as a person's height or weight).
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Jennifer has been living in her current principal residence for three years. Six months ago Jennifer decided that she would like to purchase a second home near a beach so she can vacation there for part of the year. Despite her best efforts, Jennifer has been unable to find what she is looking for. Consequently, Jennifer recently decided to change plans. She purchased a parcel of land for $130,000 with the intention of building her second home on the property. To acquire the land, she borrowed $130,000 secured by the land. Jennifer would like to know whether the interest she pays on the loan (before construction on the house is completed) is deductible as mortgage interest.
a. How should Jennifer treat the interest if she has begun construction on the home and plans to live in the home in 12 months from the time construction began?
Interest is b. How should Jennifer treat the interest if she hasn’t begun construction on the home but plans to live in the home in 15 months?
Interest is c. How should Jennifer treat the interest if she has begun construction on the home but doesn’t plan to live in the home for 37 months from the time construction began?
Interest is
a. If Jennifer has begun construction on the home and plans to live in it in 12 months from the time construction began, the interest she pays on the loan can be treated as deductible mortgage interest.
This is because the IRS allows interest on loans for the construction or purchase of a second home to be deductible if the home will be used as a qualified residence within 24 months.
b. If Jennifer hasn't begun construction on the home but plans to live in it in 15 months, the interest she pays on the loan can still be treated as deductible mortgage interest. As long as she starts construction and completes it within 24 months, making the home a qualified residence, the interest remains deductible.
c. If Jennifer has begun construction on the home but doesn't plan to live in it for 37 months from the time construction began, the interest on the loan is not deductible as mortgage interest. This is because the home won't be used as a qualified residence within the 24-month time frame allowed by the IRS.
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A planet travels 5.782× 10⁸ km in its orbit each day .How far will it travel in 800 years ? Use 1 year ≈ 365.25 days.
Step-by-step explanation:
this is just plain multiplication.
we know how far it travels on one day.
that multiplied by 365.25 is his fast it travels in one year.
that multiplied by 800 gives us how fast it travels in 800 years.
5.782 × 10⁸ × 365.25 × 800 = 5.782×365.25×800 × 10⁸ =
= 1,689,500.4 × 10⁸ = 1.6895004 × 10¹⁴ km
please and thank you
1.) The probability that the spinner will land on C would be = 1/8
2.) The probability of not spinning on C would be = 7/8
How to calculate the probability of the given event?To calculate the probability the formula that should be used would be as follows;
Probability = possible outcome/sample space.
For question 1.)
sample space = 8
possible outcome = 1
probability = 1/8
For question 2.)
sample space = 8
possible outcome = 7
probability = 7/8
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A shower stall is in the shape of a rectangular prism. The area of the base of the shower is 2.5 square yards. The volume of the shower is 7.5 cubic yards.
What is the height of the shower in yards?
A. 5yd
B. 10yd
C. 6yd
D. 3yd
Answer:
3 yards or option D.
Step-by-step explanation:
We can use the formula for the volume of a rectangular prism, which is:
Volume = length x width x height
We are given that the volume of the shower is 7.5 cubic yards, and the area of the base is 2.5 square yards. We can use the area of the base to find the length and width of the shower, since the base is a rectangle.
Area of base = length x width
2.5 = length x width
We are not given the length or width, but we can solve for one of them in terms of the other:
length = 2.5/width
Now we can substitute this expression for length into the formula for volume:
Volume = length x width x height
7.5 = (2.5/width) x width x height
Simplifying, we can cancel out the width terms:
7.5 = 2.5 x height
Dividing both sides by 2.5, we get:
3 = height
if a = -2 and b = 3 what will be the value of b^a
Answer:
If a = -2 and b = 3, then b^a can be calculated as follows:
b^a = 3^(-2)
To find the value of 3^(-2), we can use the rule that says:
a^(-b) = 1 / a^(b)
Thus,
3^(-2) = 1 / 3^2 = 1 / 9
Therefore, the value of b^a, or 3^(-2) is 1/9.
Step-by-step explanation:
A marketing firm surveyed 300 homes in Claiborne County and found that 135 homes can access the Internet. How many of the 45,000 homes in Claiborne County would you expect to be able to access the Internet?
We can use proportions to estimate the number of homes in Claiborne County that can access the Internet based on the survey results.
If 135 out of 300 homes surveyed can access the Internet, then the proportion of homes in Claiborne County that can access the Internet can be estimated as:
135/300 = x/45000
where x is the number of homes in Claiborne County that can access the Internet.
Solving for x, we get:
x = (135/300) * 45000 = 20,250
Therefore, we would expect approximately 20,250 homes in Claiborne County to be able to access the Internet based on the survey results. Note that this is just an estimate, and the actual number of homes in Claiborne County that can access the Internet may be different.
You sell instruments at a Caribbean music festival. You earn $326 by selling 12 sets of maracas, 6 sets of claves, and x djembe drums. Find the number of djembe drums you sold.
The number of djembe drum sold is 8
What is profit?Profit is the money you have left after paying for business expenses. This means after deducting the money of expenses from the selling price , the remainder is profit.
Therefore , profit = selling price - cost price
set of claves = $5
set of maracas = $14
a drum = $16
Selling price of drum = 16 × x =16x
selling price of claves = 6×5 = 30
selling price of maracas = 14 × 12 = 168
total selling price =$( 16x+30+168)
cost price = 326-( 16x+30+168)
Therefore,
326 = 16x+30+168-(326-16x-30-168)
326 = 16x +30+168-326+16x+30+168
326 = 32x+60+336-326
326+326-336-60 = 32x
32x = 256
divide both sides by 32
x = 256/32
x = 8
Therefore the number of drums sold is 8
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the sanders garden shop mixes two types of grass seed into a blend. each type of grass has been rated (per pound) according to its shade tolerance, ability to stand up to traffic, and drought resistance, as shown in the table. type a seed costs $1 and type b seed costs $2. if the blend needs to score at least 300 points for shade tolerance, 400 points for traffic, and 750 points for drought resistance, how many pounds of each seed should be in the blend?
1. Shade Tolerance: The blend needs to score at least 300 points for shade tolerance.
Total: x * Shade Tolerance points + y * Shade Tolerance points ≥ 300
2. Traffic: The blend needs to score at least 400 points for traffic.
Total: x * Traffic points + y * Traffic points ≥ 400
3. Drought Resistance: The blend needs to score at least 750 points for drought resistance.
Total: x * Drought Resistance points + y * Drought Resistance points ≥ 750
To determine the number of pounds of each seed that should be in the blend, we need to use a system of equations. Let x be the number of pounds of type A seed and y be the number of pounds of type B seed in the blend.
The shade tolerance score for the blend can be expressed as:
x(80) + y(200) ≥ 300
The traffic score for the blend can be expressed as:
x(120) + y(100) ≥ 400
The drought resistance score for the blend can be expressed as:
x(200) + y(150) ≥ 750
We also know that the total amount of seed in the blend is x + y.
We want to minimize the costs of the blend, so we can set up the following equation for the total cost:
1x + 2y = Total cost
Now we can solve this system of equations using any method we prefer. One common method is to use substitution.
First, we can use the shade tolerance equation to solve for y in terms of x:
y ≥ (300 - 80x)/200
Next, we can substitute this expression for y in the traffic equation:
x(120) + ((300 - 80x)/200)(100) ≥ 400
Simplifying and solving for x, we get:
x ≥ 1.5
So the minimum amount of type A seed needed in the blend is 1.5 pounds. We can use this value to solve for y:
y ≥ (300 - 80(1.5))/200 = 1.05
So the minimum amount of type B seed needed in the blend is 1.05 pounds.
Since we want to minimize costs, we want to use the minimum amount of each seed necessary to meet the requirements. Therefore, we should use 1.5 pounds of type A seed and 1.05 pounds of type B seed in the blend.
We need the values for Shade Tolerance, Traffic, and Drought Resistance points for both Type A and Type B seeds to set up the inequalities. Please provide the points for each seed type, and I can help you determine the number of pounds needed for each seed in the blend.
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please help with full explanation!! thank you!! :)
The lengths of the longest sides of the triangles are 40 and 16.
What are the lengths of the triangle?The lengths of each side of the triangle is calculated as follows;
Let the longest side of the similar triangle = L
then the longest side of the triangle = 3L - 8
The value of L or the longest side is calculated by applying congruency theorem for the similar triangles.
L/6 = (3L - 8)/15
15L = 6 (3L - 8)
15L = 18L - 48
15L - 18L = -48
-3L = -48
L = 48/3
L = 16
The second triangle, = 3L - 8
= 3 x 16 - 8
= 40
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not rushing anyone but if someone wants to help rq thatd be great
a. The solution to the equation f - 13 = 51 is f = 64.
b. The solution to the equation x/10 = 4 is x = 40.
a. f - 13 = 51
Step 1: Add 13 to both sides to isolate f.
f - 13 + 13 = 51 + 13
Step 2: Simplify.
f = 64
Step 3: Check the answer by substituting f = 64 back into the original equation.
64 - 13 = 51
51 = 51
The answer checks out.
b. (x/10) = 4
Step 1: Multiply both sides by 10 to isolate x.
10(x/10) = 4(10)
Step 2: Simplify.
x = 40
Step 3: Check the answer by substituting x = 40 back into the original equation.
40/10 = 4
4 = 4
The answer checks out.
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Explain in your own words what the distributive law is.
Answer: What is a Distributive Law?
Step-by-step explanation:
Distributive law, also called distributive property, in mathematics, the law relating the operations of multiplication and addition, stated symbolically as a(b + c) = ab + ac; that is, the monomial factor a is distributed, or separately applied, to each term of the binomial factor b + c, resulting in the product ab + ac. From this law it is easy to show that the result of first adding several numbers and then multiplying the sum by some number is the same as first multiplying each separately by the number and then adding the products.
{Hope This Helps :)}
Multiplying a number by a group of numbers adding together is called distructive law
If Z is a standard normal random variable, then P(-1.75 ZS -1.25) is: O a. 0.106 O b. 0.040 OC. 0.854 O d. 0.066
The answer is option B: 0.040. When Z is a standard normal random variable, it means that Z has a mean of 0 and a standard deviation of 1. Therefore, P(-1.75 < Z < -1.25) represents the area under the standard normal curve between -1.75 and -1.25 standard deviations from the mean.
Using a standard normal distribution table or calculator, we can find that the area under the curve between -1.75 and -1.25 is approximately 0.040. Hence, the answer is option B: 0.040.
To solve your question, we need to find the probability P(-1.75 ≤ Z ≤ -1.25) where Z is a standard normal random variable.
Step 1: Identify the given values
Z1 = -1.75
Z2 = -1.25
Step 2: Look up the Z-values in a standard normal table or use a calculator to find the corresponding probabilities
P(Z ≤ -1.75) = 0.0401
P(Z ≤ -1.25) = 0.211
Step 3: Use the properties of probabilities to find the required probability
P(-1.75 ≤ Z ≤ -1.25) = P(Z ≤ -1.25) - P(Z ≤ -1.75)
P(-1.75 ≤ Z ≤ -1.25) = 0.211 - 0.0401
P(-1.75 ≤ Z ≤ -1.25) = 0.1709
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How many seconds are equal to 1 minutes
Answer: 60 seconds
Step-by-step explanation:
Answer:
Step-by-step explanation:
60 seconds
Graph the function below and identify the key characteristics. f(x)= 2√x+7 -1 y Domain: Range: End Behavior: As x→∞, f(x) →_ As x-00, f(x) →. Endpoint: Inc. Interval: Dec. Interval:
[tex]2 \sqrt{x + 7} - 1[/tex]
The key features of f(x) = 2√[x + 7] - 1 are
Domain: x ≥ -7Range: f(x) ≥ -1End behavior: As x ⇒ +∝, f(x) ⇒ +∝Identifying the key characteristicsFrom the question, we have the following parameters that can be used in our computation:
f(x) = 2√[x + 7] - 1
The graph of the function is attached, where we have the following features
Domain: x ≥ -7Range: f(x) ≥ -1End behavior: As x ⇒ +∝, f(x) ⇒ +∝Read more about functions at
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help me with number 1
Answer:
Hope this helps!
Step-by-step explanation:
Pythagorean theorem Im confused on how to solve it pls help
Answer:
Part A:
[tex]d = \sqrt{ {9}^{2} + {40}^{2} } = \sqrt{81 + 1600} = \sqrt{1681} = 41[/tex]
The bat will not fit across the diagonal formed by the bottom corners of the box. That diagonal measures 41 inches, whereas the baseball bat is 41.5 inches long.
Part B:
[tex]d = \sqrt{ {9}^{2} + {9}^{2} + {40}^{2} } = \sqrt{81 + 81 + 1600} = \sqrt{1762} = 41.98[/tex]
The bat will fit across the diagonal formed by the bottom corner and the top corner of the box. That diagonal measures about 42 inches, which is slightly longer than the baseball bat's length of 41.5 inches.
Answer:
41.762 inches
Step-by-step explanation:
therefore the length of the diagonal is 41.762 in
What is the median of this data set?
The median of the given data set as required to be determined in the task content is; 4.
What value represents the median of the data set?It follows from the task content that the value which represents the median of the data set is to be determined.
By observation, the number of data values in the data set is; 15. On this note, the median value would be the eighth term in an orderly arrange of the values.
Consequently, the median of the data set as required is; 4.
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lori took a trip during her recent trip to NYC. They charged a flat rate of $2.50, plus an additional $3.00 per mile. Lori only has $20
Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement.Dkf(x, y, z) = fz(x, y, z)
Therefore, the statement is false in general, and the equality Dkf(x, y, z) = fz(x, y, z) holds only when k = z.
The symbol Dk denotes the k-th partial derivative with respect to the variable k, so Dkf(x, y, z) denotes the partial derivative of f(x, y, z) with respect to the variable k.
On the other hand, fz(x, y, z) denotes the partial derivative of f(x, y, z) with respect to the variable z.
These two partial derivatives are generally not equal. For example, consider the function f(x, y, z) = x² + y² + z². Then:
Dxf(x, y, z) = 2x
Dyf(x, y, z) = 2y
Dzf(x, y, z) = 2z
In this case, we have Dzf(x, y, z) = fz(x, y, z) = 2z, so the statement is true when k = z.
However, if we consider k = x or k = y, then the statement is false in general. For example, when k = x, we have:
Dkf(x, y, z) = Dxf(x, y, z) = 2x
fz(x, y, z) = partial derivative of f with respect to z = 2z
Since 2x is generally not equal to 2z, the statement is false when k = x.
Similarly, the statement is false when k = y, because Dyf(x, y, z) is generally not equal to fz(x, y, z).
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PLEASE HELP!!! (LOOK AT THE PICTURE)
Answer:
1.4
Step-by-step explanation:
A summary of two stocks is shown.
Name of Stock Symbol Closing Price Day 1 Closing Price Day 2 Closing Price Day 3
Metroplis, Ltd MTP 17.95 18.28 18.25
Suburbia, Inc SBR 5.63 5.88 4.98
Suppose you purchase 30 shares of Metropolis stock and 55 shares of Suburbia stock on Day 1 at the closing price. Which day, during the following two days, would be the best to sell both stocks?
Day 2 is the best by $26.75.
Day 3 is the best by $26.75.
Day 2 is the best by $23.65.
Day 3 is the best by $23.65.
The solution is, the unique price of the proportion is $10.37 even as within the promotion it is promoting at $18.25 consequently, The inventory is over-valued.
We have,
The following market and stock-specific statistics 10.37201
anticipated Return on company Y = Rf + Beta(Rm-Rf)
= zero.029+ 1.forty one*(zero.082)
= zero.14462
charge of the stock =Dividend/predicted to go back
= 1. 5/0.14462
= 10.37201
So the unique price of the proportion is $10.37 even as within the promotion it is promoting at $18.25 consequently, The inventory is over-valued.
A market is described as the sum overall of all the consumers and dealers in the region or place under attention. The vicinity may be the earth, nations, regions, states, or towns. The fee, fee, and fee of items traded are according to forces of delivery and demand in a marketplace.
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complete question:
use the following market and stock specific information to answer this question. assume you create your own portfolio made up of the four individual stocks shown below. the weighting of the porfolio is 30% stock w, 20% stock x, 20% stock y and 30% stock z. if a treasury bill currently sells for $970.05 and if firm y is expected to pay a constant annual dividend of $1.50 per share, and if the stock is currently selling for $18.25 per share, what is your opinion of the stock price?
Please help me with this homework
Answer:
2
Step-by-step explanation:
Slope, the measure of the steepness of the line created by these 2 points, is calculated by taking the difference in "y"s divided by the difference in "x"s. The equation is (y2-y1)/(x2-x1) 2 being the coordinate in the second point, and 1 the coordinate in the first point.
((-12)-(-4))/((-1)-3)
The -(-4) turns into +4, so the top is (-12+4)
(-8)/(-4) = 2
URGENT The volume of the triangular block is 4 cubic inches.What is the approximate length of y? Round to the nearest tenth of an inch
When the volume of the triangular block is 4 cubic inches, the approximate length of y is 2.8 inches.
How to calculate the volumevolume = 1/2 x A x C x H = 4 cubic inches
Because the volume of the triangular block is 4 cubic inches.
Formula:
A x C = Base x Height
= 2.8 inches will be the approximate lenght of the y.
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