how many arrangements are there for the world sociological

Answers

Answer 1

The number of arrangements for the world's societies is vast and ever-changing, making sociology a fascinating and dynamic field to study.

Sociology is the arrangement of the world's societies into different forms. The arrangement of societies can be looked at in many different ways, and there is no one right answer.

However, the most commonly recognized arrangement of the world's societies is based on their level of economic development, cultural differences, and political structures.

These arrangements can be divided into five categories: hunting and gathering, pastoral, agricultural, industrial, and post-industrial.

Each category represents a different stage of societal development and is characterized by specific cultural, economic, and political features.

Furthermore, the arrangement of societies is not just based on a single factor but is instead influenced by a complex interplay of economic, political, and cultural factors.

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Related Questions

Alfred is a real go-getter. He reports that he has raised ninety-eight dollars more than the minimum required. How many total tickets did he sell?.

Answers

Alfred sold 98 + the minimum required tickets, so the total number of tickets he sold is 98 + the minimum required.

1. Alfred reported that he raised 98 dollars more than the minimum required.

2. To get the total number of tickets he sold, we will need to add the 98 dollars more than the minimum required to the minimum required amount.

3. Therefore, the total number of tickets Alfred sold is 98 + the minimum required.

Alfred sold 98 + the minimum required tickets, so the total number of tickets he sold is 98 + the minimum required.

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Question 3(Multiple Choice Worth 1 points)

(05. 06 MC)

The scatter plot shows the number of stamps Katie collected in different months:

210

180

150

120

Number of

Stamps 90

60

30

Months

What is the approximate predicted number of sta

mps she collected in the 25th month?

Answers

By applying linear equation concept, it can be concluded that the number of stamps in the 25th month is 990 stamps

Linear equation is equations whose highest power of the variables is 1. The graph of a linear equation is a straight line.

y = mx + C where

m = Δy / Δx = slope of the line

C = constant

We have the following data:

Month    Number of stamps

   1                      30

   2                     70

   3                     110

   4                     150

   5                     190

As we look at the attached graph, this data is depicted as a linear graph. Thus we want to find the linear equation.

First, we calculate the m:

m = Δy / Δx

   = (70 - 30) / (2 - 1)

   = 40 / 1

   = 40

To find C, we pick one point, let say point (1,30) and input it into the equation:

 y = mx + C

30 = 40*1 + C

30 = 40 + C

 C = -10

Now we have the linear equation:

y = mx + C

y = 40x - 10

We want to know the number of stamps in the 25th month, so we input this value into the equation:

y = 40x - 10

   = 40*25 - 10

   = 1000 - 10

   = 990

Thus, the number of stamps in the 25th month is 990 stamps.

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Demand is given by QD = 800 - 100P Supply is given by QS = -100 + 200P What is the consumer surplus?
a. $500 b. $1,250 c. $1,500 d. $2,500

Answers

The required consumer surplus for the given question is $1000.

How we find the consumer surplus?

The consumer surplus can be calculated by finding the difference between the maximum price the consumers are willing to pay and the actual market price.

Given the demand equation QD = 800 - 100P and the supply equation QS = -100 + 200P, we can find the market equilibrium price and quantity by setting QD = QS and solving for P

According to question:

800 - 100P = -100 + 200P

900 = 300P

P = 3

So, the market equilibrium price is P = 3, and the market equilibrium quantity is Q = QD = QS = 800 - 100P = 800 - 100 * 3 = 500.

To find the consumer surplus, we need to find the area between the demand curve and the market price. The demand curve can be represented by a linear equation: QD = 800 - 100P. The maximum price the consumers are willing to pay for each quantity can be found by substituting the quantity into the demand equation:

Q = 500: 800 - 100P = 500 => P = 5

So, the maximum price the consumers are willing to pay for Q = 500 is P = 5. The consumer surplus can be found by calculating the area of the triangle between the market price P = 3 and the maximum price P = 5:

Consumer Surplus = 1/2 * (5 - 3) * 500 = 1000

So, the consumer surplus is $1000.

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These POINTS are not free please answer each question correctly

Answers

Answer:

X=. 1. X=. 2

Step-by-step explanation:

The first story (movie theater) has the equation 6(x+3)= 24. The equation for the juice story is 3(x+6)=24 . The x in the move theater story is the cost of each ticket. The x in the juice story is the amount of juice poured to each friend originally (before the extra 6 ounces). The solution to the movie theater story is 6((1)+3)=24. So x is one is the first story.In the juice story, 3((2)+6)= 24. So x is two. The solution tells me that in the movie theater story that each ticket cost 1 dollar. In the second story, it tells me that 2 ounces of juice where poured to each freind originally. So each freind got a total of 8 ounces of juice.

Step-by-step explanation:

I see only 2 stories and equations.

a.

6(x + 3) = 24

is for the first story (6 show tickets and snacks).

3(x + 6) = 24

is for the second story (juice for 3 friends).

b.

in the first story it is the price of one ticket to the show.

in the second story it is the original amount of juice each friend gets before adding 6 oz.

c. and d.

6(x + 3) = 24

6x + 18 = 24

6x = 6

x = 1

each ticket to the show was $1.

3(x + 6) = 24

3x + 18 = 24

3x = 6

x = 2

each of the 3 friends got first 2 oz of juice, before they each got additional 6 oz. so, ultimately, each friend got 8 oz.

A salad dressing is made by mixing lemon juice and vinegar in the ratio of 4:3. 700ml is taker for salad dressing . how much lemon juice is used?

Answers

Answer:400

Step-by-step explanation:

Farah is buying clothes from a website. The website shows this information about a jacket Farah wants to buy. The website claims this is a saving of 46%

Answers

The website is advertising a 46% discount on the jacket, meaning that Farah will pay 46% less than the original price if she decides to buy it now.

A discount is a reduction in the original price of an item, allowing the customer to purchase it for less than the original price.

To calculate the discount mathematically, we can use the following formula:

Discounted price = Original price * (1 - discount percentage)

Let's assume the original price of the jacket is P dollars.

The discount percentage is 46%, which can be written as a decimal 0.46. To find the discounted price, we need to multiply the original price by (1 - discount percentage), which is (1 - 0.46) = 0.54.

So, the discounted price after the 46% saving will be P * 0.54 dollars.

In other words, Farah will pay 0.54 times the original price, P, to buy the jacket with the advertised 46% saving.

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how to solve 5x^2-x 5 if [f(a)]^2

Answers

To solve the equation 5x^2 - x - 5 = 0, you can use the quadratic formula.

First, rearrange the equation to have 0 on the right side:

5x^2 - x - 5 = 0

Next, use the quadratic formula to solve for x:

x = (-b ± √(b^2 - 4ac)) / 2a

where a = 5, b = -1, and c = -5.

Plug in the values:

x = (-(-1) ± √((-1)^2 - 4 * 5 * -5)) / 2 * 5

x = (1 ± √(1 + 100)) / 10

x = (1 ± √101) / 10

So the two solutions are:

x = (1 + √101) / 10

x = (1 - √101) / 10

--The question is incomplete, answering to the question below--

"How to solve 5x^2-x = 5?"

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If a stone is dropped at random on the arrangement of tiles shown, what is the probability the stone lands on a black tile?
5/9
4/9
1/2
1/9

Answers

The probability the stone lands on a black tile is 5/9

What is the probability the stone lands on a black tile?

This question uses the fundamental counting principle, The fundamental counting principle states that if there are m choices for one event and n choices for another event, then there are m x n total choices for the two events combined.

The total number of outcomes is the product of the number of choices for each event.

Given:

Count the number of black tiles in the arrangement.

There are 5 black tiles.

Count the total number of tiles in the arrangement.

There are 9 total tiles.

Calculate the probability of the stone landing on a black tile.

Probability = (No. of favourable outcomes) / (Total no. of favourable outcomes)

The probability of the stone landing on a black tile is 5/9.

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Find the total when $9500 is invested at 10% simple interest for 5 years.

Answers

The total amount when $9500 is invested at 10% simple interest for 5 years is $14, 250

How to determine the total amount

It is important to note that the formula for simple interest is expressed mathematically with the equation;

I = PRT/100

The parameters are given;

I is the simple interest P is the initial amount or the principal amountR is the simple interest rateT is the time taken

From the information given, we have the values of the principal amount, time and the interest rate

Substitute the values, we get;

Simple interest, I = $9500 × 10×5/100

Multiply the values

Simple interest, I = $475, 000/100

Divide the values

Simple interest, I = $4, 750

Thus, the total amount is $14, 250

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3. Priya says, "I can figure out the value of 3-¹ by looking at other powers of 3. I know that
3² = 9, 3¹ = 3, and 30 = 1.

a. What pattern do you notice?

b. If this pattern continues, what should be the value of 3-¹?

c. If this pattern continues, what should be the value of 3-2?

Answers

The pattern followed is: 3ⁿ / 3ⁿ⁻¹ = 3. b. When the value of 3⁻¹ = 1/3. c. Similarly, following the pattern the value of 3⁻² = 1/9.

What are exponents?

The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself. For instance, the number 6 is multiplied by itself four times, yielding 6 6 6 6. You can write this as 64. In this case, the exponent is 4 and the base is 6. This can be understood as 4 increased to the power of 6.

Given that 3² = 9, 3¹ = 3, 3⁰ = 1,

Here, 3²  / 3¹ = 3

3¹ / 3⁰  = 3

We observe that the quotient of the former term with the later term is always 3. Thus, the pattern followed is:

3^n / 3ⁿ⁻¹  = 3

b. When the value of n = 0, 3⁰  / 3⁻¹ = 3

1 / 3⁻¹= 3

3⁻¹ = 1/3

c. Similarly, following the pattern the value of 3⁻² = 1/9.

Hence, the pattern followed is: 3ⁿ / 3ⁿ⁻¹ = 3. b. When the value of 3⁻¹ = 1/3. c. Similarly, following the pattern the value of 3⁻² = 1/9.

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for the function f(x)=-2x^5+3x^3, find the value of f(3) and f(-2)

Answers

As a result, the function [tex]f(x)=-2x^5+3x^3[/tex] has values of 405 for f(3) and 88 for f(-2) when x is substituted for 3 and 2, respectively.

What does function mean?

Statistics and their variations, equations but also associated structures, shapes as well as their locations and potential locations, are all topics covered in algebra. The interaction between a collection of inputs, each of which has an associated output, is referred to as a "function." An relationship between inputs and outputs, where each input yields a single, distinct outcome, is called a function. For each function, a region and a minimal area, or scope, are designated. The letter f is frequently used to represent functions (x). X is the input. The four basic kinds of functions that are offered are on actions, one-to-one operations, many-to-one functions, within functions, and on functions.

given

[tex]f(x)=-2x^5+3x^3f(3) = -2(3)^5 + 3(3)^3[/tex]

= -486 + 81

= 405

ii)[tex]f(x)=-2x^5+3x^3f(-2) = -2(-2)^5 + 3(-2)^3[/tex]

= -64 - 24

= - 88

As a result, the function [tex]f(x)=-2x^5+3x^3[/tex]has values of 405 for f(3) and 88 for f(-2) when x is substituted for 3 and 2, respectively.

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Julian fully simplifies this polynomial and then writes it in standard form.
Which term could be put in the blank to create a fully simplified polynomial written in standard form?

8x3y2−_____+3xy2−4y3

x2y2
x3y3
7xy2
7x0y3

Answers

The  term could be put in the blank to create a fully simplified polynomial written in standard form is  x²y².

option A.

What is polynomial function?

A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation, etc.

From the given polynomial equation 8x³y² ------ + 3xy² - 4y³

Here the power of x decreases by 1, so the the power of x of the next term will x²y².

Thus, the complete polynomial equation would be 8x³y² - x²y² + 3xy² - 4y³

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The population of Japan, J. is 1.30 × 108 The population of Brazil, B, is 1.95 × 108 You are given that J: B = xx+5 Work out the value of x. ​

Answers

Answer:

The ratio of the population of Japan to the population of Brazil is 1.30 x 108 : 1.95 x 108, which can be simplified to 13:19. Therefore, x = 6.

Step-by-step explanation:

Are the expressions 1/2(4c+8) + 3c-2 and 4c+2(0.5c+1) equivalent?

Answers

How to solve you question!

First, combine multiplied terms into a single fraction.

Like this! (click first file)

sorryyy, i had to do it virtually bc i couldnt find a pencil -.-

then, multiply it by 1.

Like dis! (click second file)

Then, find the common denominator. :>

like dis!!

(obvi, click the third file)

Then, your solution will be dis. (click fourth file.)

Now that we know our solution for the first one, lets do the second one now.

now, if you have the same answers for both, that means, yes, they are equivalent. If no, they are not. If this helped you, please answer my one question of my profile. Thanks!!

A cyclilit rode a contant peed of 21 mph for 3 hour then he decreaed her rate of peed to 17 mph for 4 hour how far did the cycilit ride in 7 hour

Answers

The cyclist rode 131 miles in 7 hour

What is velocity?

It is a physical quantity that indicates the displacement of a mobile per unit of time, it is expressed in units of distance per time, for example (miles/h, km/h).

The cyclist rode at a constant velocity of 21mph for 3 hours.

21 x 3 = 63 miles

Then she decreased the rate of velocity to 17mph for 4hours.

63 + (17 x 4) = 63 + 68 = 131 miles

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Correctly written question:

A cyclist rode at constant speed of 21 mph for 3 hours. Then, she decreased her rate of speed to 17 mph for 4 hours. How far did the cyclist ride in 7 hours?

In AJKL, j = 520 inches, k = 730 inches and l=640 inches. Find the measure of ZK to

the nearest degree.

Answers

The measure of ∠K is 72°.

To find the measure of ∠K in ΔJKL, we can use the Law of Cosines. The formula is:

cos C = (a^2 + b^2 - c^2) / 2ab where C is the angle opposite the side of length c.

In this case,

a = JK = 720 inchesb = KL = 640 inchesc = LJ = 520 inches.

Plugging in the values, we get:

cos C = (720^2 + 640^2 - 520^2) / 2 * 720 * 640

cos C = 0.4756

Finally, to find the measure of ∠K, we use the inverse cosine function:

∠K = cos^-1 (0.4756)

∠K = 72.22°

Rounding to the nearest degree, ∠K = 72°.

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The complete question is:

In ΔJKL, j = 520 inches, k = 730 inches, and l=640 inches. Find the measure of ∠K to the nearest degree.

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please please help me i need it step by step

Answers

The lateral Surface Area of ​​a Cylinder  is is 345  cm²  

What are solids ?

A three-dimensional object that is closed (which may, according to some terminology conventions, be self-intersecting). A solid is any constrained area of space that is bounded by surfaces, according to Kern and Bland (1948, p. 18). The sphere, cube, cone, and cylinder, as well as the polyhedra more broadly, are some of the most basic solids.

lateral Surface Area of ​​a Cylinder  is :

L= 2 × π × r × h

where, r = base radius,

and h = height of the cylinder

L= 2 × 3.14 × 4.9 × 11.2

=> L=  344.646  cm²

Nearest whole number: 345  cm²

The lateral Surface Area of ​​a Cylinder  is is 345  cm²  

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Helppppppppp me FIND C

Answers

To find C the Pythagorean formula is used which would be = 7.6

How to calculate the missing side of the triangle?

The formula for the Pythagorean theorem is given as follows:

c² = a²+b²

where;

a = 7

b = 3

C = ?

c² = 7²+3²

c² = 49+ 9

c² = 58

C= √ 58

C = 7.6

Therefore, when the Pythagorean formula is being used, the value of the missing side of the triangle = 7.6.

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The hypotenuse of the right triangle is:

C = 7.6

How to find C on the right triangle?

On the image we can see a right triangle where C is the hypotenuse of said triangle.

Remember the Pithagorean's theorem, it says that if A and B are the two legs of the right triangle, then C can be written as:

C = √(A² + B²)

Here we can see that:

A = 3

B = 7

Replacing that we will get:

C = √(3² + 7²) =7.6

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Solve the following equations

9 ^ (x + 10) + 3 = 92



Answers

Answer:

We can solve for x by using logarithms.

9^(x + 10) + 3 = 92

9^(x + 10) = 89

Take the log base 9 of both sides:

x + 10 = log9(89)

x = log9(89) - 10

To find the value of log9(89), you can use a logarithm table or calculator.

The solution for x is:

x = log9(89) - 10

A parabolic arch similar to the Hiroshima Peace Arch is 14 m high at the centre of the arch and spans a distance of 30 m. Find the height of the arch at a distance of 7. 5 m from the center

Answers

The height of the arch at a distance of 7.5 m from the center is 7m

What is parabola's equation?

It's important to keep in mind that a parabola has the usual form of y = a(x - h)2 + k, where (h, k) denotes the vertex and a determines the shape and vertical orientation. x and y are (100, 0) in. You are then provided with the parabola's equation.

What height of the arch, as measured from a point on the water 40 meters from the center of the arch, would sustain a bridge over a river?

The arch is 200 meters wide at water level and 80 meters tall at its tallest point

The peak of the arch might serve as the vertex and be located at position y0 on the y-axis if we wish to plot this on a graph or represent it in an equation

The equation of the parabolic arch is

x² = - 4ay

Lets take x and y for first case as (14, 30)

⇒ 14² = - 4a(30)

⇒ a = −49/30

Now we have a so lets put the formula for another variable to find height

Here, y = 7.5

​x² = - 4ay

⇒ ​x² - 4(-49/30)(7.5)

x = 7

Thus, The height of the arch at a distance of 7.5 m from the center is 7m.

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Which graph represents the linear equation y equals one half times x plus 2 on the coordinate plane? graph of a line passing through the points 0 comma negative 2 and 2 comma negative 1 graph of a line passing through the points negative 4 comma 0 and 0 comma 2 graph of a line passing through the points negative 5 comma 0 and 0 comma 1 graph of a line passing through the points 0 comma 1 and negative 4 comma 0

Answers

The graph which represents the linear equation y = 1/2 x + 2 is the graph of a line passing through the points (-4, 0) and (0, 2).

What is Slope?

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

The slope intercept form of a line is,

y = mx + c,

m : slope and c : y intercept

y intercept is the y coordinate of a point when x coordinate equals 0.

Given linear equation is y = 1/2 x + 2.

m = 1/2 and c = 2

Find the slope and y intercept of each of the line in the options given.

In the first option, we have the point (0, -2).

y intercept of this line = -2, which is not the required y intercept.

In the second option, points given are (-4, 0) and (0, 2).

Since we have the point (0, 2), y intercept = 2

m = (2 - 0) / (0 - -4) = 2 / 4 = 1/2

So the line in the second option is the required line.

Hence the graph of the line represented in the second option is the required line.

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Assume that a procedure yields a binomial distribution with a trial repeated

n=5

times. Use some form of technology like Excel or StatDisk to find the probability distribution given the probability

p=0. 649

of success on a single trial.


(Report answers accurate to 4 decimal places. )


k P(X = k)

0

1

2

3

4

5

Answers

The discrete probability distribution of the number of successes in a series of n independent experiments is called the binomial distribution with parameters n and p in probability theory and statistics.

What is the binomial distribution?

The binomial distribution formula aids in determining the likelihood that "x" successes will occur in "n" separate trials of a binomial experiment. Recall that there are two possible outcomes for the statistics probability distribution known as the binomial distribution. The binomial distribution in probability theory has two parameters, n and p. When the probability distribution satisfies the following conditions, it becomes a binomial probability distribution. Each experiment may only yield two results, or results that can be reduced to two results. These results could result in success or failure. There must be a specific number of trails. Each trial's results must be distinct from one another.

Additionally, each trial's likelihood success rate must remain constant.

Using binomial probability formula,

k P(X = k)

0 0.0001

1 0.0020

2 0.0236

3 0.1355

4 0.3899

5 0.4489

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A shower used 60 gallons of water in 6 minutes complete the table and the plot the point

Answers

The gallons of water used column should have four entries: 0, 20, 40, andTo plot the point, you need to plot the values from the table on a graph.

Time (minutes): 0, 2, 4, 6

Gallons of Water Used: 0, 20, 40, 60

Plot: (0, 0), (2, 20), (4, 40), (6, 60)

To complete the table, you need to fill in the time (minutes) and gallons of water used columns.

The time column should have four entries: 0, 2, 4, and 6.

The gallons of water used column should have four entries: 0, 20, 40, andTo plot the point, you need to plot the values from the table on a graph.

The point (0, 0) represents 0 minutes and 0 gallons of water used.

The point (2, 20) represents 2 minutes and 20 gallons of water used.

The point (4, 40) represents 4 minutes and 40 gallons of water used.

The point (6, 60) represents 6 minutes and 60 gallons of water used.

The complete question is :

A shower used 60 gallons of water in 6 minutes. Complete the table and plot the point.

Time (minutes): 0, 2, 4, 6

Gallons of Water Used: 0, 20, 40, 60

Plot: (0, 0), (2, 20), (4, 40), (6, 60)

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unit 1, lesson 13: congruence

Answers

Answer: 1. No, because figure 1 is 5 squares and figure 2 is 6 squares

Step-by-step explanation:

a jar contains 8 blue balls and 4 red balls. if a person selects 6 balls at random, without replacement, what is the probability that all red balls will be selected.

Answers

The probability that all red balls will be selected is 0.0083.

The total number of ways to select 6 balls from the jar is 12C6, which is equal to 495. The number of ways to select only red balls is 4C6, which is equal to 1. So, the probability of selecting all red balls is 1/495 = 0.0083. This means that only a small chance of selecting all red balls exists among all possible selections of 6 balls.

Probability is a mathematical concept that provides a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means an event is impossible and 1 means an event is certain to occur.

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Help!!
The pentagon in Washington, D.C.,is shaped like a regular pentagon.Find the measure of each interior angle.

Answers

Each interior angle in the pentagon in Washington, D.C., measures 108 degrees.

What is pentagon and how to measure its interior angle?A pentagon is a polygon with five straight sides and five interior angles. It is a geometric shape with five vertices and five sides that are all straight lines.The measure of each interior angle in a regular pentagon can be found using the formula:$180(n-2)/n$where n is the number of sides in the polygon. In this case, n = 5, so the formula becomes:$180(5-2)/5 = 180(3)/5 = 108^\circ$So each interior angle in the pentagon in Washington, D.C., measures 108 degrees.

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Naya had a rectangular carpet, it's too large for her living room.
So she cut off a 1-foot wide strip off each side of the carpet.
As a result, the area of the carpet became 26cubic feet
smaller. What's the original perimeter of this carpet?

Answers

Answer: 30 ft

Let's assume the original dimension of the carpet was LxW. Now let's have Lin cut a 1 foot wide strip from the length. That gives her a strip that's L feet long. She then cuts a strip from the other side, giving her another strip that L feet long. She then cuts a strip from the width, giving her a 3rd strip that's (W-2) feet long. And finally, she cuts a 4th strip that's also W-2 feet long. So the total length of all those strips is L + L + W - 2 + W - 2 = 2L + 2W - 4 feet long. And since all the strips are 1 foot wide, they cover 2L + 2W - 4 square feet. So: 2L + 2W - 4 = 26 2L + 2W = 30 Now the original perimeter of the carpet is 2L + 2W, therefore the original perimeter is 30 feet.

you are given an array[] of size n. you have to convert the array into non decreasing array

Answers

We can use a sorting algorithm such as Insertion Sort, Selection Sort, Merge Sort, or Quick Sort to sort the array in increasing order. This will convert the array into a non decreasing array.

1. Initialize a sorting algorithm of your choice.

2. Compare two adjacent elements and swap them if they are not in the desired order.

3. Repeat step 2 until the array is sorted.

4. After sorting, the array will be in non decreasing order.

We can use a sorting algorithm such as Insertion Sort, Selection Sort, Merge Sort, or Quick Sort to sort the array in increasing order. This will convert the array into a non decreasing array.

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Reduce to simplest form. − 8 \7 ​ −(− 6 \5 ​ )=

Answers

Answer:

[tex] - \frac{8}{7} - ( - \frac{6}{5}) \\ \\ \longrightarrow \: - \frac{8}{7} \: \: + \: \: \frac{6}{5} \\ \\ taking \: LCM \\ \\ \longrightarrow \: \frac{ - 40 + 42}{35} \\ \\ \longrightarrow \: \boxed{ \frac{2}{35} }[/tex]

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Sierra is riding on a carousel with a 10 foot radius sheet if she's located 1. 5 feet from the edge of the car so how far will she travel five revolutions

Answers

She will travel a distance of 62.8 feet × 5 revolutions = 314 feet.

How to estimate the circumference of the circle?

Calculate the circle of the carousel (the distance around the outside) and multiply it by the number of revolutions to determine how far Sierra will move after five rotations.

The following equation can be used to determine the carousel's circumference:

Circumference = 2πr

Where "radius" refers to the carousel's radius and "" is an irrational integer roughly equivalent to 3.14. (in this case, 10 feet).

Substitute the values in the above equation, we get

Circumference = 2 × 3.14 × 10 feet

Circumference = 62.8 feet

Since Sierra will make five revolutions, she will travel a distance

= 62.8 feet × 5 revolutions = 314 feet.

Remember that this is only an estimate because the precise distance may have varied slightly depending on the carousel's speed and Sierra's position on it, among other things.

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