Rodolfo has 15 toys in his toy box, and he adds 2 new toys every month. Based on this information, which representation best shows this relationship between the number of toys Rodolfo has in his toy box, y, and the number of months that have passed, x?
Answers
Answer:Should be B, it’s the graph that has the slope that isn’t as steep as the other one , it’s more slanted
Related Questions
Solve for x. Round to the nearest tenth, if necessary.
Answers
Sin(38) = 1.3/x
Cross multiply
xsin38 = 1.3
Divide through by sin38
x = 1.3/sin38
x = 1.3/0.6157
x = 2.111
x ≈ 2.11 units
Answer:
x = 2.1
Step-by-step explanation:
We have:
=
=> sin38 × x = sin90 × 1.3
=> x = 1.3 ÷ sin38
=> x = 2.11155001... = 2.1
<3 Have a nice day!!
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8.F.2. Examine each set of functions and determine which has the greater rate of change #5, #6, #7, #8
Answers
Answer:
Function A
Step-by-step explanation:
Given
\(A:\ y = 4x + 3\)
\(B:\ y = \frac{1}{2}x + 5\)
See attachment for complete question
Required
Which has a greater rate of change
A function is represented as:
\(y = mx + b\)
Where
m is the rate of change
So, the rate of functions of A and B is
\(A:\ y = 4x + 3\)
\(m_A = 4\)
\(B:\ y = \frac{1}{2}x + 5\)
\(m_B = \frac{1}{2}\)
By comparison
\(m_A > m_B\)
i.e.
\(4 > \frac{1}{2}\)
Hence, function A has a greater rate of change
(3 + 4i) + (5 − 2i) (2 points) −2 + 6i 2 − 2i 7 + 3i 8 + 2i
Answers
Answer:
8+2i
Step-by-step explanation:
Combine like terms
3+5=8
4i-2i=2i
Answer: 8 + 2i
Step-by-step explanation:
1) Rewrite the two complex numbers in standard form: (3 + 4i) + (5 − 2i) = 3 + 5 + 4i - 2i = 3 + 5 + 2i
2) Add the real parts and the imaginary parts separately: Real parts: 3 + 5 = 8 Imaginary parts: 2i + (-2i) = 0
3) Put the results in standard form: 8 + 0i = 8 + 0i = 8 + 0i = 8 + 0i = 8 + 0i = 8 + 2i
how to determine if an integral is convergent or divergent
Answers
A. To determine if an integral is convergent, we analyze the function's behavior, integrability, apply integration techniques, and examine its limits, ensuring they are finite, leading to a finite result.
B. To determine if an integral is divergent, we look for infinite limits, vertical asymptotes, and erratic behavior within the integration interval, indicating the lack of a finite value for the integral.
A. To determine if an integral is convergent, we need to consider several approaches. First, we check for basic convergence criteria such as infinite limits or vertical asymptotes.
Then, we examine integrability, ensuring the function is continuous or has a finite number of discontinuities. Next, we simplify the integral using integration techniques.
Finally, we analyze the behavior of the function at infinity and apply comparison tests if necessary to establish convergence.
B. To determine if an integral is divergent, we follow a series of steps. First, we check for basic divergence criteria such as infinite limits or vertical asymptotes.
Then, we examine integrability, looking for discontinuities that prevent integration. Next, we simplify the integral using integration techniques. Finally, if the integral does not converge, it is deemed divergent.
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An airplane descends 1.3 miles to an elevation of 8.75 miles. Find the elevation of theplane before its descent.
Answers
The elevation before the descent is
8.75+1.3=10.05
The elevation before the descent is 10.05
What are the coordinates of the vertex of the parabola y= x2 + 4x – 6?
Answers
We have the equation of a parabola.
We can express the coordinates of the vertex (h,k) using the coefficients of the parabola:
\(\begin{gathered} h=-\frac{b}{2a} \\ k=f(h) \end{gathered}\)As the parabola is y=x²+4x-6, the expression for h and k is:
\(\begin{gathered} h=-\frac{b}{2a}=-\frac{4}{2\cdot1}=-2 \\ k=f(-2)=(-2)^2+4\cdot(-2)-6=4-8-6=-10 \end{gathered}\)Then, the coordinates of the vertex are (h,k) = (-2,-10).
Answer: The vertex is (-2,-10)
A 8 cm cube i built from mall cube, each 2 cm on an edge. Write a ratio that compare the edge length of the large and mall cube
Answers
The ratio of the edge length of the large cube (8 cm) to the small cube (2 cm) can be written as 8:2 or 4:1.
Comparing two or more related quantities using a ratio typically involves using a fraction or decimal. Ratios are used to evaluate relationships between two or more things or to compare values.
To calculate this ratio, we divide the length of the large cube (8 cm) by the length of the small cube (2 cm). The result is 4, which is the first number in the ratio. The second number in the ratio is the number we divided by, which is 1. Therefore, the ratio of the edge length of the large cube to the small cube is 4:1.
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A bus uses 2.5 L of diesel for every 8 km. How many liters of diesel would a bus use on a trip of 275
km?
Answers
Use cross multiplication to come up with the answer.
\( \frac{2.5}{8} = \frac{x}{275} \)
Answer:
Udbdubsh848488483837376383938838737387484.
Step-by-step explanation:
Udnhduneurueooeiruurur
The diagram shows a circle of radius 3cm drawn inside a square. Write down the exact value of the following and state whether the answer is rational or not:
A) the circumference of the circle
B) the diameter of the circle
C) the area of the square
D) the area of the circle
E) the shaded area.
Answers
Just need help answering this question, sorry for glare on laptop
Answers
Consider the two separate samples below. Complete parts a through d Sample 1 Sample 2 17 21 27 6 c. Now remove the largest number from each data set and repeat the calculations called for in part a The range of the first data set with the largest number removed is 21. (Type an integer or a decimal.) The variance of the first data set with the largest number removed is 65.25 (Round to three decimal places as needed.) The standard deviation of the first data set with the largest number removed is 8.078. (Round to three decimal places as needed.) The interquartile range of the first data set with the largest number removed is 13. (Type an integer or a decimal.)
Answers
The range of the first data set with the largest number removed is 11, the variance of the first data set with the largest number removed is 65.25, the standard deviation of the first data set with the largest number removed is 8.078, and the interquartile range of the first data set with the largest number removed is 8.
(a) Find the range of the first data set
The range of the first data set is the difference between the highest and the lowest value in the set.
Range of first data set = 27 - 12 = 15
(b) Find the variance of the first data set
The variance of a data set is the average of the squared differences from the mean.
Variance = Sum of (x - μ)²/n, where x is a value in the data set, μ is the mean of the data set, and n is the number of values in the data set.
Variance of Sample 1 = [(17-19.2)² + (27-19.2)² + (23-19.2)² + (12-19.2)² + (15-19.2)²]/5 = 49.36 (rounded to two decimal places)
(c) Find the standard deviation of the first data set
The standard deviation of a data set is the square root of the variance of the data set.
Standard deviation of Sample 1 = √49.36 = 7.026 (rounded to three decimal places)
(d) Find the interquartile range of the first data setInterquartile range (IQR) is the difference between the third quartile and the first quartile.IQR of Sample 1 = Q3 - Q1
We first need to find the first quartile (Q1), second quartile (Q2), and third quartile (Q3) of the data set. To find these values, we first need to order the data set: 12, 15, 17, 23, 27
Median (Q2) = 17 Q1 is the median of the data set to the left of Q2 Q1 = 15 Q3 is the median of the data set to the right of Q2 Q3 = 23 IQR of
Sample 1 = Q3 - Q1 = 23 - 15 = 8
Now remove the largest number from each data set and repeat the calculations called for in part a
(a) Find the range of the first data set with the largest number removed
The range of the first data set with the largest number removed is the difference between the highest and the lowest value in the set.
Range of first data set (with largest number removed) = 23 - 12 = 11 (b) Find the variance of the first data set with the largest number removed
The variance of a data set is the average of the squared differences from the mean.
Variance = Sum of (x - μ)²/n, where x is a value in the data set, μ is the mean of the data set, and n is the number of values in the data set.
Variance of Sample 1 (with largest number removed) = [(17-15.8)² + (27-15.8)² + (23-15.8)² + (12-15.8)²]/4 = 65.25 (rounded to three decimal places)
(c) Find the standard deviation of the first data set with the largest number removed
The standard deviation of a data set is the square root of the variance of the data set.
Standard deviation of Sample 1 (with largest number removed) = √65.25 = 8.078 (rounded to three decimal places) (d)
Find the interquartile range of the first data set with the largest number removedInterquartile range (IQR) is the difference between the third quartile and the first quartile.
IQR of Sample 1 (with largest number removed) = Q3 - Q1We first need to find the first quartile (Q1), second quartile (Q2), and third quartile (Q3) of the data set.
To find these values, we first need to order the data set with the largest number removed: 12, 15, 17, 23
Median (Q2) = 17 Q1 is the median of the data set to the left of Q2 Q1 = 15 Q3 is the median of the data set to the right of Q2 Q3 = 23 IQR of
Sample 1 (with largest number removed) = Q3 - Q1 = 23 - 15 = 8
Therefore, the range of the first data set with the largest number removed is 11, the variance of the first data set with the largest number removed is 65.25, the standard deviation of the first data set with the largest number removed is 8.078, and the interquartile range of the first data set with the largest number removed is 8.
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The Cartesian coordinates of a point are given. (a) (-6, 6) Find the following values for the polar coordinates (r, 0) of the given point. 2 tan (0) = (1) Find polar coordinates (r, 0) of the point, where r> 0 and 0 ≤ 0 < 2. (r, 0) = (ii) Find polar coordinates (r, 0) of the point, where r < 0 and 0 ≤ 0 < 2. (r, 0) =
Answers
To find the polar coordinates (r, θ) corresponding to the Cartesian coordinates (-6, 6), we can use the following formulas:
r = √(x² + y²)
θ = arctan(y / x)
(a) For the given point (-6, 6):
x = -6
y = 6
First, let's find the value of r:
r = √((-6)² + 6²) = √(36 + 36) = √72 = 6√2
Next, let's find the value of θ:
θ = arctan(6 / -6) = arctan(-1) = -π/4 (since the point lies in the third quadrant)
Therefore, the polar coordinates of the point (-6, 6) are (6√2, -π/4).
(b) For r > 0 and 0 ≤ θ < 2:
In this case, the polar coordinates will remain the same: (6√2, -π/4).
(c) For r < 0 and 0 ≤ θ < 2:
Since r cannot be negative in polar coordinates, there are no valid polar coordinates for r < 0 and 0 ≤ θ < 2.
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With the current, you can canoe 64 miles in 4 hours. Against the same current, you can canoe only ¾ of this distance in 6 hours. Find your rate in still water and the rate of the current.
What is the rate of the canoe in still water?
miles per hour.
Answers
Therefore, the rate of the canoe in still water is 36 miles per hour.
Let's assume the rate of the canoe in still water is represented by r (miles per hour), and the rate of the current is represented by c (miles per hour).
When paddling with the current, the effective speed of the canoe is increased by the rate of the current, so the equation for the distance can be written as:
(r + c) * 4 = 64
When paddling against the current, the effective speed of the canoe is decreased by the rate of the current, so the equation for the distance can be written as:
(r - c) * 6 = (3/4) * 64
Simplifying the second equation:
6(r - c) = (3/4) * 64
6r - 6c = 48
Now we have a system of two equations:
(r + c) * 4 = 64
6r - 6c = 48
We can solve this system of equations to find the values of r and c.
Multiplying equation 1) by 6, we get:
6(r + c) = 6 * 64
6r + 6c = 384
Adding this equation to equation 2), the variable c will be eliminated:
6r + 6c + 6r - 6c = 384 + 48
12r = 432
Dividing both sides by 12, we find:
r = 36
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what is the numerical value of dependent on?
Answers
The numerical value of a dependent variable is dependent on the value of the independent variable. In other words, the numerical value of the dependent variable changes based on the value of the independent variable. For example, in the equation y = 2x + 3, the numerical value of y (the dependent variable) is dependent on the value of x (the independent variable). If x is 1, then the numerical value of y is 5 (2*1 + 3). If x is 2, then the numerical value of y is 7 (2*2 + 3). So, the numerical value of the dependent variable is dependent on the value of the independent variable.
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A worker in the automobile industry works an average of 42.3 hours per week. If the distribution is approximately normal with a standard deviation of 1.5 hours, what is the probability that a randomly selected automobile worker works less than 40 hours per week? Round the final answer to at least four decimal places and intermediate z value calculations to two decimal places.
Answers
Given:
\(\mu=42.3\text{ }h\)\(\sigma=1.5\text{ }h\)Where the Mean (μ ) and Standard Deviation (σ) for a Normal Distribution, you need to find:
\(P=P(X<40)\)Where "X" is the number of hours worked per worker.
In order to calculate that probability, you should approximate to a Standard Normal Distribution. Therefore, you need to find z-statistic:
\(Z=\frac{X-\mu}{\sigma}\)The value of "X" you must use is:
\(X=40\)Then, substituting values and evaluating, you get:
\(Z=\frac{40-42.3}{1.5}=\frac{-2.3}{1.5}\approx-1.53\)Therefore, now you need to find:
\(P=P(Z<-1.53)\)Now you need to use the Standard Normal Distribution Table in order to find the value of the probability. Then, you get:
\(P=0.0630\)Hence, the answer is:
\(P=0.0630\)find the measure of angle 13x+5
Answers
Answer:
angle = 83 degrees
Step-by-step explanation:
coinciding angles with transversal are equal
14x - 1 = 13x + 5
x = 6
13(6) + 5
78 + 5
angle = 83
should i get a normal switch because it has more features or switch lite because its cheaper?
Answers
Answer:
i have the regular switch but you should get the regular one because it has more features
Step-by-step explanation:
i think you should get the one thats best for you but i have the regular one but get the one thats best for you
What dose rotations mean in math
Answers
Answer:
A rotation is a transformation that turns a figure about a fixed point called the center of rotation. • An object and its rotation are the same shape and size, but the figures may be turned in different directions. • Rotations may be clockwise or counterclockwise.
Step-by-step explanation:
Answer:it means the movitem of a figure to somewhere else
Step-by-step explanation:
F(x)= 3x^3+8x^2-7x-4
G(x)=2x-6
Find (f-x)(x)
Answers
Answer: Answer:(f-g)(x) = 3x^3+8x^2-9x+2
Step-by-step explanation:Answer:(f-g)(x) = 3x^3+8x^2-9x+2
eliminating design confounds from a study can... select one or more: a. lower the amount of systematic variance in a study b. make it more difficult to recruit participants c. make it easier to determine if the iv influences the dv d. make random assignment optional.
Answers
Eliminating design confounds from a study can make it easier to determine if the iv influences the dv
Option (c) is correct answer.
Confounding variables are a type of irrelevant variable that are related to a study’s independent and dependent variables. Thus failing to account for confounding variables can cause wrong estimation of the relationship between independent and dependent variables.
Random assignment of study subjects to exposure of any links between exposure and confounders which reduces potential for confounding by generating groups that are fairly comparable with respect to known and unknown confounding variables.
Eliminating designs confounds from a study facilitates estimating the relationship between independent variables and dependent variables and also randomly assigning subjects helps to eliminate confounding variables.
Hence the correct options is (c).
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A beetroot farmer owns two plots of land that are equal in area but with different soil conditions. The farmer wants to compare the average annual crop yields from the two plots The farmer selects a random sample of n1 = 6 years and gathers data for these years on the first plot's yield. He also selects a random sample of n2 = 7 years and gathers data for these years on the second plot's yield. Then he computes the mean yield for each sample Imagine that the annual crop yield from the first plot is normally distributed with ?| = 2,180 and ?? = 21,183, and that the annual crop yield from the second plot is normally distributed with 2-2,092 and ? -14,828 distribution with a mean of The difference between the two sample means follows a standard deviation equal to and Use the Distributions tool to help answer the question that follows. Standard Normal Mean-0.0 Standard Deviation 1.0 5000 5000 0.000 What is the probability that the sample mean yield for the first plot exceeds the sample mean yield for the second plot by at least 231 beetroots?
Answers
There will be a difference of at least 231 beetroots between the two sample means.
To calculate the probability that the sample mean yield for the first plot exceeds the sample mean yield for the second plot by at least 231 beetroots, we need to compare the difference in sample means to the given value.
The difference between the two sample means follows a normal distribution with a mean equal to the difference between the population means (2,180 - 2,092 = 88) and a standard deviation equal to the square root of the sum of the variances divided by the sum of the sample sizes [(21,183^2/6 + 14,828^2/7)/(6 + 7)].
Using the Distributions tool, we can calculate the probability of the difference being greater than or equal to 231 beetroots. We set the mean to 88, the standard deviation to the calculated value, and calculate the probability for values greater than or equal to 231.
The resulting probability will give us the likelihood of observing a difference of at least 231 beetroots between the two sample means.
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if D E F are the midpoints of side BC CA and AB respectively of a triangle ABC Determine the areas
Answers
Answer:
def*de
Step-by-step explanation:
Evaluate.
{3−[−4−(6+2)]}⋅(−5)
A−75
B−57
C−15
D−9
Answers
Step-by-step explanation:
please mark me as brainlest
![Evaluate.{3[4(6+2)]}(5)A75B57C15D9](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/0o5KEtpjNtiMpoD275NoVPr2kmAcM62K.jpeg)
Step-by-Step Explanation:
= {3 - [-4 -(6 + 2)]}(-5)
= {3 - [-4 -(8)]}(-5)
= {3 - [-4 -8]}(-5)
= {3 - [-12]}(5)
= {3 + 12}(5)
= 15(5)
= 15 * 5
=> 75
Use cosine law to find the value of x. Show working. use ^ for power and sqrt for square root
Answers
Answer:
x ≈ 11.89
Step-by-step explanation:
Using the cosine rule
x² = 4² + 9² - ( 2 × 4 × 9 × cos128° )
= 16 + 81 - 72cos128°
= 97 - (- 44.33 )
= 141.33 ( take the square root of both sides )
x = \(\sqrt{141.33}\) ≈ 11.89 ( to 2 dec. places )
verify { ¯ u 1 , ¯ u 2 } forms an orthogonal set and find the orthogonal projection of ¯ v onto w = s p a n { ¯ u 1 , ¯ u 2 } .
Answers
To verify that { ¯ u1, ¯ u2 } forms an orthogonal set, we need to show that their dot product is zero. Let ¯ u1 = and ¯ u2 = . Then, their dot product is:
¯ u1 · ¯ u2 = a1a2 + b1b2 + c1c2
If this dot product is zero, then the vectors are orthogonal. So, we need to solve the equation:
a1a2 + b1b2 + c1c2 = 0
If this equation is true for our given vectors ¯ u1 and ¯ u2, then they form an orthogonal set.
To find the orthogonal projection of ¯ v onto w = span{ ¯ u1, ¯ u2}, we can use the formula:
projw ¯ v = ((¯ v · ¯ u1) / (¯ u1 · ¯ u1)) ¯ u1 + ((¯ v · ¯ u2) / (¯ u2 · ¯ u2)) ¯ u2
where · represents the dot product.
So, we first need to find the dot products of ¯ v with ¯ u1 and ¯ u2, as well as the dot products of ¯ u1 and ¯ u2 with themselves:
¯ v · ¯ u1 = av a1 + bv b1 + cv c1
¯ v · ¯ u2 = av a2 + bv b2 + cv c2
¯ u1 · ¯ u1 = a1 a1 + b1 b1 + c1 c1
¯ u2 · ¯ u2 = a2 a2 + b2 b2 + c2 c2
Then, we plug these values into the formula to get the projection:
projw ¯ v = ((av a1 + bv b1 + cv c1) / (a1 a1 + b1 b1 + c1 c1)) ¯ u1 + ((av a2 + bv b2 + cv c2) / (a2 a2 + b2 b2 + c2 c2)) ¯ u2
This is the orthogonal projection of ¯ v onto w.
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find the perimeter of the figure below 13ft and 12ft
Answers
Answer:
Yes
Step-by-step explanation:
Yes
Answer:
50
Step-by-step explanation:
The ecology club plans to increase the size of a rectangular green space by adding 6 feet to each dimension of the green space.
Answers
The figure here is a rectangle.
Using the formula for perimeter and area:
Part a. Fencing that will be used more = 24ft.
Part b. Area of proposed space greater than area of current space
= 276ft²
Define a rectangle?A quadrilateral with equal angles and parallel opposite sides is referred to as a rectangle. Around us, there are a lot of rectangle items. The length and width of each rectangle serve as its two distinguishing attributes. The width and length of a rectangle, respectively, are its longer and shorter sides.
In the given question,
Length of current space, l = 24ft.
Breadth of current space, b = 16 ft.
Length of proposed space = 24 + 3 + 3 = 30ft.
Breadth of proposed space = 16 + 3 + 3 = 22ft.
Part a.
Perimeter of current space = 2 (l + b)
= 2 × (24 + 16)
= 2× 40
= 80ft.
Perimeter of proposed space = 2 × (30+22)
= 2 × 52
= 104ft.
So, fencing that will be used more = 104 - 80
= 24ft.
Part b.
Area of current space = l × b
= 24 × 16
= 384ft².
Area of proposed space = 30 × 22
= 660ft².
Area of proposed space greater than area of current space = 660 - 384
= 276ft²
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3x + 2y = 5, how do you simplify into slope intercept form
Answers
Answer:
y = -3x + 2.5
Step-by-step explanation:
3x + 2y = 5
-3x -3x
2y = 5 -3x
/2 /2
y = -3x + 2.5
Set up a system of equations and then solve using inverse matrics.
A manufacturer of portable tools has three sets, Basic, Homeowner, and Pro, which must be painted, assembled, and packaged for shipping. The following table gives the number of hours required for each operation for each set.
Basic Homeowner Pro
Painting 1. 4 1. 7 3
Assembly 1 1. 5 1. 6
Packaging 1 1 1. 4
If the manufacturer has 75. 7 hours for painting per day, 57. 9 hours for assembly per day, and 46. 6 hours for packaging per day. How many sets of each type can be produced each day?
The manufacturer can produce
Basic sets,
Homeowner sets and
Pro sets per day
Answers
The system of equations for this problem is:
Basic: 1x + 1.5y + z = 75.7
Homeowner: 4x + 1.7y + 1.6z = 57.9
Pro: 3x + 1.5y + 1.4z = 46.6
To solve this problem using inverse matrices, we first need to create the matrices of coefficients and constants:
Coefficient Matrix:
[[1, 1.5, 1],
[4, 1.7, 1.6],
[3, 1.5, 1.4]]
Constant Matrix:
[[75.7],
[57.9],
[46.6]]
Next, we can use inverse matrices to find the solution:
Inverse of Coefficient Matrix =
[[-9.38, 7.81, 3.2],
[4.69, -3.81, -1.6],
[3.46, -2.81, -0.8]]
Solution =
[[-9.38*75.7 + 7.81*57.9 + 3.2*46.6],
[4.69*75.7 - 3.81*57.9 - 1.6*46.6],
[3.46*75.7 - 2.81*57.9 - 0.8*46.6]]
Therefore, the manufacturer can produce
Basic sets,
Homeowner sets and
Pro sets per day
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\large -45\div9-\left(-5\right)=
Answers
\(\boxed{\underline{\bf \: ANSWER}}\)
\( \sf\large -45\div9-\left(-5\right) \\ = \sf - 5 - ( - 5) \\ \sf= - 5 + 5 \\ \sf = 5 - 5 \\ = \boxed{\bf 0}\)
-> The answer will be 0.
______
Hope it helps.
гคเภ๒๏ฬรคlt2²2²
−45÷9−(−5)
=−5−(−5)
=−5+5
=5−5
= 0
-> The answer will be 0.
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