i need help somebody please help​

Answer:

X represents the number of product so 3 cause you have 2 pastas and 1 cheese. The length represents the total cost. I think 3 would represent cost? I'm not totally sure on that one. Hope this helps!

Step-by-step explanation:

We need to find the inverse of the function gof (x). First we need to find the composite function gof (x) which is given by:

\(g(f(x)) = g(3x - 6)\)

= \((1/3)(3x - 6) + 1\)

= x - 1 + 1

= x

Thus,

gof (x) = x.

Now we need to find the inverse of the function gof (x) to obtain

\((gof)^-1 (x).\)

We have gof (x) = x

which implies\((gof)^-1 (x)\)

= gof (x)^-1

= x^-1

= 1/x,

x ≠ 0

Therefore,

\((gof)^-1 (x) = 1/x\)

which is option (3) (x+1) since 1/x can be written as 1/(x+1-1), where (x+1-1) is the denominator of 1/x.

Hence, the correct option is (3).

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To find (g(f))^-1 (x), substitute the expression for f(x) into g(x) and simplify. The composition of g(f) is x and its inverse is also x. Therefore, (g(f))^-1 (x) equals x.

To find (g(f))^-1 (x), we need to first find the composition of g(f) and then find its inverse. Start by substituting the expression for f(x) into g(x): g(f(x)) = g(3x-6) = \frac{1}{3}(3x-6) + 1 = x - 1 + 1 = x. So, g(f(x)) = x. Now, to find the inverse of g(f), we switch the x and y variables and solve for y: y = x. Therefore, (g(f))^-1 (x) = x.

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As Q is the midpoint of the supplied NR, we may demonstrate that MRN = PQN by using SAS congruency.

Due to its three sides and three vertices, a triangle is a polygon. One of the fundamental geometric forms, it. Triangle ABC is the designation given to a triangle with vertices A, B, and C. In Euclidean geometry, when the three points are not collinear, a distinct plane and triangle are found. As a polygon, a triangle has three sides and three corners. The places where the three sides converge are referred to as the triangle's corners. Combining three triangle angles yields a result of 180 degrees.

given

∠MRN and ∠PQN are right angles

statements

∠MRN = ∠PQN = 90° (given)

Q is the mid point of NR (given)

NQ = 1/2NR ( definition of mid point )

PQ = 1/2 MR (given MR = 2PQ)

ΔMRN ≈ ΔPQN       SAS

As Q is the midpoint of the supplied NR, we may demonstrate that MRN = PQN by using SAS congruency.

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The answer is C) 195/8

First, we can use the fact that A, B, C, D, E, and F are concyclic and that D, E, and F are the midpoints of AB, BC, and AC respectively.

Let r be the radius of the circumcircle of triangle ABC. Then using the Pythagorean theorem, we can find that r = (151413) / (4*K) where K is the area of the triangle.

Now we can use the property that the perpendicular bisectors of any triangle pass through the circumcenter of the triangle. We know that the midpoint of a line segment is the foot of the perpendicular from that point to the other endpoint. Then we can use the property that the radius from the circumcenter of the triangle to the midpoint of a side is half the length of that side.

Therefore, the circumcenter of triangle BDE is located at X = (BD/2, DE/2) = (13/2, 7/2) and the circumcenter of triangle CEF is located at X = (CE/2, EF/2) = (15/2, 7/2).

So the coordinates of X are (13/2, 7/2) and since the circumcenter of a triangle is equidistant from each vertex of the triangle, we can find that XA = XB = XC = r = r = (151413) / (4*K)

Therefore, XA + XB + XC = 3r = 3(151413) / (4*K) = (195/8)

So the answer is c. 195/8.

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Last week, the ratio of bananas sold to watermelons sold was 4 : 3.

This ratio means that for every 4 bananas sold, the number of watermelons sold was 3.

Since there were 48 bananas sold, we can find the number of watermelons sold by subtracting 12 from 48:

48 bananas - 12 = 36 watermelons

Now, we can determine the ratio of bananas sold to watermelons sold. The ratio would be:

Bananas : Watermelons = 48 : 36

To simplify this ratio, we can divide both numbers by their greatest common divisor (GCD), which in this case is 12:

48 ÷ 12 = 4
36 ÷ 12 = 3

So, the simplified ratio is:

4 : 3

This ratio means that for every 4 bananas sold, the number of watermelons sold was 3. In other words, out of every 7 fruits sold (4 bananas + 3 watermelons), 4 were bananas and 3 were watermelons. This provides an easy way to understand the proportion of each type of fruit sold at Jun's fruit stand last week.

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Answer: 19.6 feet

Step-by-step explanation:

Using the Pythagorean theorem,

\(x^2 +(x+6)^2 =48^2\\\\x^2 +x^2 +12x+36=2304\\\\2x^2 +12x-2268=0\\\\x^2 +6x-1134=0\\\\x=\frac{-6 \pm \sqrt{6^2 -4(1)(-1134)}}{2(1)}\\\\x \approx 30.8 \text{ } (x > 0)\\\\\implies x+(x+6) \approx 67.6\\\\\therefore (x+(x+6))-48 \approx 19.6\)

According to the given percentages, 18% of the students at the orientation are male arts majors.

The statement correctly calculates that 60% of the students at the orientation are men and 30% are arts majors.

To determine the percentage of students who are male arts majors, we multiply these two percentages together: 60% x 30% = 18%. Therefore, 18% of the students at the orientation are male arts majors.

This calculation follows the principles of probability, where the intersection of two events (being a male and being an arts major) is determined by multiplying the probabilities of each event occurring individually.

In this case, it results in 18% of the students meeting both criteria.


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Question - Sixty percent of the students at an orientation are men and 30% of the students at the orientation are arts majors. Therefore, 60% X 30% = 18% of the students at the orientation are male arts majors.

Based on the table of values, the exact answer is \((f^{-1})'(-2)=\frac{-1}{\sqrt{6}}\)

Based on the table of values, we can logically deduce the following function inputs and outputs;

x = 0

f(0) = -2

f'(0) = 5

Note: If f(a) = b, then f⁻¹(b) = a

f'(x) = -x

By integrating both sides of the differential function above, we have:

∫f'(x)dx = ∫-xdx

f(x) = -x²/2 + c

f(0) = -0²/2 + c = 5

c = 5

Therefore, y = f(x) = -x²/2 + 5

Next, we would determine the inverse function as follows;

y = -x²/2 + 5

x = -y²/2 + 5

y²/2 = -x + 5

\(f^{-1}(x)=\sqrt{-2x+10}\)

Now, we can differentiate the inverse function with respect to x as follows;

\((f^{-1})'(x)=\frac{-1}{\sqrt{-2x+10}}\)

When x = -2, we have:

\((f^{-1})'(-2)=\frac{-1}{\sqrt{-2(-2)+10}}\\\\(f^{-1})'(-2)=\frac{-1}{\sqrt{6}}\)

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

7*11^5

Explanation:

(the photo)

Answer:

D

Step-by-step explanation:

Probability that the die will show an even number

in one rolling is 3/6=0,5 = p

We have formula for repeating rolling

n!/(r!(n-r)!) p^r (1-p)^(n-r)

n = how many times we repeat rolling = 6

r = how many times we want something to happen

(show an even number exactly two times) = 2

15 *(0,5)^2 *(0,5)^4 = 0,234375

Answer:

1 and then 1/2 and the 5

Step-by-step explanation:

it goes frist to lest

Developing a mathematical model to represent the growth of a population with a fixed percentage increase each year.

Verified the model's fit by comparing its predictions with actual population data.

Used Python, specifically the SymPy, pandas, and matplotlib libraries, to perform symbolic manipulation, tabular representation, and plotting.

These tools were chosen for their capabilities in mathematical modeling, data handling, and visualization.

To build a model for the fixed percentage approach, let's consider a scenario where we want to model the growth of a population over time.

Assume that the population grows at a fixed percentage rate each year. Here are the steps involved in building the model,

Problem Formulation

Clearly define the problem and the goal of the model.

Goal is to develop a mathematical model that represents the growth of a population with a fixed percentage increase each year.

Data Collection

Gather relevant data regarding the population growth.

This could include historical population data or any other relevant information .

That can be used to estimate the fixed percentage growth rate.

Model Development

To represent the fixed percentage growth, use an exponential growth model.

The general form of an exponential growth equation is,

P(t) = P₀ × \((1 + r)^t\)

where,

P(t) represents the population at time t

P₀ is the initial population

r is the fixed percentage growth rate

t is the time in years

Model Testing and Validation

To verify that our model fits the scenario, compare the model's predictions with the available data.

Assess the model's accuracy and reliability by calculating the error metrics such as RMSE, R-squared, or other appropriate measures.

Additionally, visually compare the model's predictions with the actual population data using plots.

Model Deployment and Analysis

Once the model is validated, use it to make predictions about future population growth based on the fixed percentage increase.

Analyze the model's behavior and make informed decisions regarding population planning or resource allocation.

To create the model, use Python and its libraries for symbolic manipulation, tabular representation, and plotting.

Specifically, use the SymPy library for symbolic manipulation, pandas for tabular representation, and matplotlib for plotting.

These tools are widely used, well-documented, and provide a comprehensive set of functionalities for mathematical modeling and analysis.

Let's create the model and analyze it step by step,

Problem Formulation

As stated above, our goal is to model the growth of a population with a fixed percentage increase each year.

Data Collection

For demonstration purposes, let's assume collected the following population data for the first five years,

Year Population

1         100

2         130

3         169

4         220

5         286

Model Development

Using the exponential growth equation, we can express our model as,

P(t) = P₀ × \((1 + r)^t\)

Model Testing and Validation

To validate the model, estimate the fixed percentage growth rate (r) using the available data

and then compare the model's predictions with the actual population values.

First, let's calculate the growth rate (r) using the population data.

Use the formula,

r = (P(t) / \(P_{0}^{(1/t)\) - 1

For the first year,

r₁ = (130 / 100)¹/¹ - 1

= 0.30

Similarly, calculate growth rate for subsequent years.

Using calculated growth rate, generate predictions for each year and compare them with the actual population data.

Model Deployment and Analysis

Deploy the model to make predictions for future population growth based on the fixed percentage increase.

Analyze the model's behavior over a longer time period and explore the implications of different growth rates.

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The above question is incomplete, the complete question is:

Subject: Mathematical Modeling Build a model for the fixed percentage approach (this can be your own made up model and scenario). Describe clearly the steps that are required to build the model, noting the five steps in the process. What steps are you taking to verify that your model fits the scenario? Build the model, describing clearly the steps in creating the model, using symbolic manipulation, tabular representations, plots, and text to describe the model. Also discuss the tools and techniques that you used to create the model, and why you chose these tools.

a) Diminishing returns start at x = 1,  where the marginal revenue will be less than the marginal cost

b)At x = 1, the company will earn R(1) = -32 + 6 + 18 + 4 = -4,000 dollars.

c) 0 ≤ x ≤ 25 implies that the Coffee Junction company has the capacity to spend a maximum of 25,000 dollars per month on advertisements.

a) At what level of advertising spending does diminishing returns start?

Diminishing returns refers to a situation when the marginal return on investment decreases as more resources are devoted to it. For instance, in case of Coffee Junction, increasing the advertising expenditure may lead to higher revenue, but the marginal revenue (revenue generated by each additional dollar spent) will gradually decrease.

b) How much revenue will the company earn at that level of advertising spending?

At x = 1, the company will earn R(1) = -32 + 6 + 18 + 4 = -4,000 dollars.

c) What does 0≤x≤25 tell us with respect to this problem?

In this problem, 0 ≤ x ≤ 25 implies that the Coffee Junction company has the capacity to spend a maximum of 25,000 dollars per month on advertisements.

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The missing number of the series is 21.

The given sequence appears to follow the pattern of the Fibonacci sequence, where each number is the sum of the two preceding numbers. The Fibonacci sequence starts with 0 and 1, and each subsequent number is obtained by adding the two previous numbers.

Using this pattern, we can determine the missing number in the sequence.

0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55

Looking at the pattern, we can see that the missing number is obtained by adding 8 and 13, which gives us 21.

Therefore, the completed sequence is:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55.

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The missing number in the sequence 0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55 is 21.

To find the missing number in the sequence 0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55, we can observe that each number is the sum of the two preceding numbers. This pattern is known as the Fibonacci sequence.

The Fibonacci sequence starts with 0 and 1. To generate the next number, we add the two preceding numbers: 0 + 1 = 1. Continuing this pattern, we get:

Therefore, the missing number in the sequence is 21.

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Answer:

-25.2

Step-by-step explanation:

by replacing -6 on the place of x we get4.2(-6)=-25.2

Answer:

It is 0 units from the x-axis since the line crosses the axis.

Answer:

4 units

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Step 1:

2x + 4 = 6x - 12        Equation

Step 2:

4 = 4x - 12        Subtract 4x on both sides

Step 3:

16 = 4x        Add 12 on both sides

Step 4:

x = 16 ÷ 4        Divide

Answer:

x = 4

Hope This Helps :)

Answer:

x = 4

Step-by-step explanation:

Solve for x:

2 x + 4 = 6 x - 12

Subtract 6 x from both sides:

(2 x - 6 x) + 4 = (6 x - 6 x) - 12

2 x - 6 x = -4 x:

-4 x + 4 = (6 x - 6 x) - 12

6 x - 6 x = 0:

4 - 4 x = -12

Subtract 4 from both sides:

(4 - 4) - 4 x = -4 - 12

4 - 4 = 0:

-4 x = -4 - 12

-4 - 12 = -16:

-4 x = -16

Divide both sides of -4 x = -16 by -4:

(-4 x)/(-4) = (-16)/(-4)

(-4)/(-4) = 1:

x = (-16)/(-4)

The gcd of -16 and -4 is -4, so (-16)/(-4) = (-4×4)/(-4×1) = (-4)/(-4)×4 = 4:

Answer: x = 4

The probability of winning $1000 a day for life is approximately 5.245 x 10^-11 and the probability of winning $1000 a week for life is approximately 1.07 x 10^-8. The probability of winning the jackpot ($1000 a day for life) is 1/(60^5 * 4), while the probability of winning $1000 a week for life is 1/(60^5).

In the Florida Lottery Cash4Life game, a player must select five numbers from 1 to 60 and then one Cash Ball number from 1 to 4. The jackpot prize is $1000 a day for life if all five numbers and the Cash Ball match the winning numbers drawn on Monday nights. If just all five numbers match the winning numbers, the player will win $1000 a week for life.
To determine the probability of winning $1000 a day for life, we can use the formula for the probability of independent events: P(A and B) = P(A) x P(B)

(a) To win the jackpot of $1000 a day for life, the player needs to match all five numbers and the Cash Ball. There are 60 options for each of the five numbers and 4 options for the Cash Ball. The total number of possible outcomes is 60^5 (60 choices for each of the five numbers) times 4 (for the Cash Ball). So the probability of winning the jackpot is 1/(60^5 * 4). (b) To win $1000 a week for life, the player needs to match only the five numbers, without considering the Cash Ball. The total number of possible outcomes for this scenario is 60^5. Therefore, the probability of winning $1000 a week for life is 1/(60^5).

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The width point highway is \(2x^{3} + 5x^{2} +118\)

To determine the width of the highway between the two buildings, we need to subtract the distances of the buildings from the highway from the total distance between the buildings.

Let's denote the distance between the buildings as "d," the distance of the first building from the highway as "a," and the distance of the second building from the highway as "b."

To find the width of the highway, we subtract the distances of the buildings from the total distance:

Width of the highway = (3x^3 - x^2 + 7x + 100) - (2x^2 + 7x) - (x^3 + 2x^2 - 18)

Simplifying the expression, we combine like terms:

Width of the highway = \(3x^3 - x^2 + 7x + 100 - 2x^2 - 7x - x^3 - 2x^2 + 18\)

Combining like terms further:

Width of the highway = (3x^3 - x^3) + (-x^2 - 2x^2 - 2x^2) + (7x - 7x) + (100 + 18)

Simplifying again:

Width of the highway = 2x^3 - 5x^2 + 100 + 18

Combining the constant terms:

Width of the highway = 2x^3 - 5x^2 + 118

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The following question may be like this:

Two buildings on opposites sides of a highway are 3x^3- x^2 + 7x +100 feet apart. One building is 2x^2 + 7x feet from the highway. The other building is x^3 + 2x^2 - 18 feet from the highway. What is the standard form of the polynomial representing the width of the highway between the two building

Yes, the sample size would be large enough if the population is school-aged children and young adults in the United States as this is a simple random sampling.

Simple random sampling is used for randomly selecting the sample size for research. No member in the population has a higher chance in comparison to others for selection in sampling. Every individual has an equal chance to be a part of the sample for the study. This is a type of probability sampling method.

The probability sampling method states that every individual has a fair and equal chance to be selected as a research sample. It includes simple random sampling, stratified sampling, systematic sampling, and cluster sampling. Here the researchers have picked around 150 students and young adults which is an appropriate amount of simple random sample for the study.

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This statement is false because if their truth tables don't match then the analyzed statement would be false, they have to match.

The image below shows an example.

As you can observe, their truth values have to be equivalent.

Question isn't well formatted, a picture if the question is attached below.

Answer:

1 / 4

Step-by-step explanation:

From the plot, each dot represent a gamer ; therefore, the total number of gamers will be counting all the dots ;

Total number of gamers = 24

Fraction of gamers that have 7 / 8 of the way to go ;

This means that they have 7/8 of the way left to proceed to next level ;

The fraction is : 1 - 7/8 = 1 /8

This means the number of of people whose progress are on 1/8 ; this is 6

Hence, fraction of gamers that have 7/8 of the way to go :

6 / 24 = 1 / 4

Answer:

\(g^6\)

Step-by-step explanation:

When multiplying exponents, for example

\(x^2 * x^5\)

Their power values are added together to get

\(x^2 * x^5 = x * x * x* x* x* x* x = x^7\)

Answer:

\(g^6\)

Step-by-step explanation:

because, \(g^3*g^3\) is basically \(g^(^3^+^3^)\) which is \(g^(^6^)\) = \(g^6\)

Answer:

The account balance will be $10,866 after 14 years

Step-by-step explanation:

Compound continuous interest can be calculated using the formula:

\(A=Pe^{rt}\)

Let us use this rule to solve the question

∵ Ali invests $4,078 in a retirement account

∴ P = 4,078

∵ The account with a fixed annual interest rate of 7% compounded

   continuously

∴ r = 7% = \(\frac{7}{100}\) = 0.07

∵ The time is 14 years

∴ t = 14

Substitute these values in the rule above to find A

∵ \(A=4,078(e)^{0.07(14)}\)

→ Use the calculator to find the value of A

∴ A = 10,865.65255

→ Round it to the nearest dollar

∴ A = $10,866

∴ The account balance will be $10,866 after 14 years

Answer:

8

Step-by-step explanation:

15 of 75 estimated raccoons in the area were tagged. So think of this as a ratio, 15:75.

Divide 75 by the 40 racoons that were captured and you get 1.87500. 75 divided by 1.87500 is the 40 raccoons captured. So 15 divided by the same amount is the number of raccoons with tags. Divide 15 by 1.87500 to find the missing value, which is 8.

Step-by-step explanation:

The square root of 0.0144 is 0.12.

To find the square root of 0.0144, we can use a calculator or estimate it manually. One way to estimate the square root of 0.0144 is to recognize that it is very close to 0.01, which has a square root of 0.1. Since 0.0144 is slightly larger than 0.01, we can expect its square root to be slightly larger than 0.1.

To get a more precise answer, we can use a calculator or long division. Here's one way to do it:

- Write 0.0144 as a fraction: 0.0144 = 144/10000

- Take the square root of the numerator and denominator separately: sqrt(144)/sqrt(10000)

- Simplify the square roots: 12/100

- Reduce the fraction: 3/25

Therefore, the square root of 0.0144 is 0.12 or 3/25.

Answer:

2/5 of 15 is 6

Step-by-step explanation:

Multiply 2 and 15

2 × 15 = 30

Divide 30 by 5

30 ÷ 5 = 6

Answer:

Detergent A uses exactly 1 fluid ounce per load more than detergent B.

Step-by-step explanation:

We are given that Detergent A contains 48 fluid ounces and cleans 16 loads of dishes. Detergent B contains 76 fluid ounces and cleans 38 loads of dishes.

We have to compare that which detergent is accurate.

As we know that the formula for finding fluid ounce per load is given by;

 Fluid ounce per load =  \(\frac{\text{Amount of fluid ounces}}{\text{Amount of loads}}\)

Fluid ounces = 48

Loads of dishes = 16

So, fluid ounce per load =  \(\frac{48}{16}\)

                                         = 3 fluid ounce per load

Fluid ounces = 76

Loads of dishes = 38

So, fluid ounce per load =  \(\frac{76}{38}\)

                                         = 2 fluid ounce per load

So, we can clearly see that Detergent A uses exactly 1 fluid ounce per load more than detergent B, ie. (3 - 2) = 1 fluid ounce per load.

Answer:

1)9 2)18 3)9. 4)4. 5)carpeting

Step-by-step explanation:

1) divide 63 by 7 = 9

2)multiply 54 by 2 = 108 total weight of the boxes then divide 108 by 6 to get 18

3) 75 -30 to get remaining amount which is 45 then divide by 5 to get how much he will pay each month which is 9

4 24- 12= 12 the remaining for the 3 and divide by 3 to get 4

5) multiply 6 * 9 which is $54 which is cheaper than the $81

y[n] = {0, 1, 4, 2, -4, 0, 0}.

To determine y[n] = x[n] * h[n], we need to perform the convolution operation between the sequences x[n] and h[n].

Given x[n] = {1, 2, -2} and h[n] = {0, 1, 2, 3}, we can compute y[n] as follows:

For n = 0: y[0] = x[0] * h[0] = 1 * 0 = 0

For n = 1: y[1] = x[1] * h[0] + x[0] * h[1] = 2 * 0 + 1 * 1 = 1

For n = 2:y[2] = x[2] * h[0] + x[1] * h[1] + x[0] * h[2] = -2 * 0 + 2 * 1 + 1 * 2 = 4

For n = 3: y[3] = x[3] * h[0] + x[2] * h[1] + x[1] * h[2] = 0 * 0 + (-2) * 1 + 2 * 2 = 2

For n = 4: y[4] = x[4] * h[0] + x[3] * h[1] + x[2] * h[2] = 0 * 0 + 0 * 1 + (-2) * 2 = -4

For n = 5: y[5] = x[5] * h[0] + x[4] * h[1] + x[3] * h[2] = 0 * 0 + 0 * 1 + 0 * 2 = 0

For n = 6: y[6] = x[6] * h[0] + x[5] * h[1] + x[4] * h[2] = 0 * 0 + 0 * 1 + 0 * 2 = 0

Therefore, y[n] = {0, 1, 4, 2, -4, 0, 0}.

To sketch the sequence y[n], we plot the values of y[n] on the y-axis against the corresponding values of n on the x-axis:

n | 0 | 1 | 2 | 3 | 4 | 5 | 6 |

y[n] | 0 | 1 | 4 | 2 | -4 | 0 | 0 |

The plot will consist of discrete points representing the values of y[n] at each value of n. Connect the points with lines to visualize the sequence.

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