The rectangle below has an area of 6n^4+20n^3+14n^26n 4 +20n 3 +14n 2 6, n, start superscript, 4, end superscript, plus, 20, n, cubed, plus, 14, n, squared. The width of the rectangle is equal to the greatest common monomial factor of 6n^4, 20n^3,6n 4 ,20n 3 ,6, n, start superscript, 4, end superscript, comma, 20, n, cubed, comma and 14n^214n 2 14, n, squared. What is the length and width of the rectangle?

Answers

Answer 1

Given:

Area of rectangle = [tex]6n^4+20n^3+14n^2[/tex]

Width of the rectangle is equal to the greatest common monomial factor of [tex]6n^4, 20n^3,14n^2[/tex].

To find:

Length and width of the rectangle.

Solution:

Width of the rectangle is equal to the greatest common monomial factor of [tex]6n^4, 20n^3,14n^2[/tex] is

[tex]6n^4=2\times 3\times n\times n\times n\times n[/tex]

[tex]20n^3=2\times 2\times 5\times n\times n\times n[/tex]

[tex]14n^2=2\times 7\times n\times n[/tex]

Now,

[tex]GCF(6n^4, 20n^3,14n^2)=2\times n\times n=2n^2[/tex]

So, width of the rectangle is [tex]2n^2[/tex].

Area of rectangle is

[tex]Area=6n^4+20n^3+14n^2[/tex]

Taking out GCF, we get

[tex]Area=2n^2(3n^2+10n+7)[/tex]

We know that, area of a rectangle is the product of its length and width.

Since, width of the rectangle is [tex]2n^2[/tex], therefore length of the rectangle is [tex](3n^2+10n+7)[/tex].


Related Questions

3x²-2x=4 quadratic equation​

Answers

Answer:

here is the answer

Step-by-step explanation:

i needed the extra words to publish but look at the image

I need help plz!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Bruh.

Step-by-step explanation:

Dedra’s boat used 5 gallons of gasoline in 4 hours. At this rate, how many gallons of gasoline will the boat use in 10 hours?

Answers

Answer:

Step-by-step explanation:

4 times 2 1/2 equals 10

5 gallons times 2 1/2 equals 12.5

The boat will use 12.5 gallons in 10 hrs

Hope this helped!

The number of gallons of gasoline the boat uses in 10 hours will be 12.5 gallons.

What are ratio and proportion?

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

Dedra’s boat used 5 gallons of gasoline in 4 hours.

Then the rate will be

Rate = 5 / 4

Rate = 1.25 gallons per hour

At this rate, then the number of gallons of gasoline the boat uses in 10 hours will be

⇒ 1.25 x 10

⇒ 12.5 gallons

The number of gallons of gasoline the boat uses in 10 hours will be 12.5 gallons.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

#SPJ2

What is the value of x?

Answers

Answer:

As x is the exterior angle

Step-by-step explanation:

therefore

let name the angle exterior angle be ACE

interior angleABC=76°and angleBAC=55°

sum of 2 interior angle is equal to exterior angle

=76+55=x

=131=x

In the video game Fantasy Farm, it takes 5 6 6 5 ​ start fraction, 5, divided by, 6, end fraction of a minute to harvest magic flowers, and it takes 5 6 6 5 ​ start fraction, 5, divided by, 6, end fraction of an hour to build a golden barn. Which takes more time?

Answers

Answer:

Building gold barn takes more time

Step-by-step explanation:

Time to harvest magic flowers = 5/6 of a minutes

Time to build a gold barn = 5 / 6 of an hour

1 hour = 60 minutes

Time to build a gold barn = 5 / 6 of 60 minutes

= 5/6 × 60 minutes

= 50 minutes

= 50 minutes × 60 seconds

= 3,000 seconds

Time to harvest magic flowers = 5/6 of a minutes

1 minutes = 60 seconds

= 5/6 × 60 seconds

= 50 seconds

Building gold barn takes more time

Type the correct answer in the box. Spell all words correctly.
Oliver is creating an image of a fruit basket. From the basket, he wants the red apples to stand out among the rest so they will catch attention. What can Oliver do to achieve this effect?
Oliver can increase the
of the apples to enhance them and make them stand out from the other fruit.
Reset Next

Answers

Answer:

Oliver could increase the contrast between the red apples and the other fruits. He could also place the red apples in front of the other fruits and in a central location on the paper.

Step-by-step explanation:

Answer:

contrast

Step-by-step explanation:

right answer on plato

Discussion For a discrete function, can the number of elements in the range be greater than the
number of elements in the domain? Explain.

Answers

Answer:

Step-by-step explanation:gdndvdsjfehsk

Help me pls I’ll give brainliest to whoever can answer and explain the best

Answers

Answer:

part c                      hope this helps. :)

Step-by-step explanation:

11/12

2 3/4 = 11/4

11/4 divided by 3

turn the divide to multiply and write 11/4 x 1/3

answer will be 11/12

Answer:

11/12

Step-by-step explanation:

Shelby and her two friends make 3 people.

2 3/4 pies are left over

They decide to share among themselves.[3]

Change 2 3/4 to an improper fraction:2*4+3=11/4

11/4 evenly divide with 3 friends

Change the division sign to multiplication by giving the reciprocal of the number to the right[3]

11/4*1/3=11/12

Explain this words in form of trigonometry graphs

1.Period
2.Amplitude
3.Range
4.maximium y-value
5.manimum y-value

Answers

ANSWER: Midline: is the horizontal line that passes exactly in the middle between the graphs maximum and minimum points.

Amplitude: is the vertical distance between the midline and one of the extremum points.

Period: is the distance between two consecutive maximum points or two consecutive minimum points (these distances must be equal). HOPE THIS HELPS!

PLEASE HELP!!!!!!!!!!!!! I HAVE TO TURN THIS IN 5 MIN!!!!!!!!!!!!!!!!
WHATS THE ANSWER FOR THE QUESTION BELOW????

Answers

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

The answer is choice C.

You could easily narrow it down by seeing that the y-intercept has decreased. Then the graph went from negative to a positive you have to multiply a negative by a negative to make it a positive.

Hello there! The correct asnwer is C. You can first elimenate the unsuitable answers then solve by doing the ¨equation¨.

Hope I helped! Have an amazing day!

Yours,

fellow brainiac

(ps. if I helped in a time efficient amount of time and answered correctly please mark brainliest, vote, comment, and rate!)

Love you! Byeeeeeee

Beth has to choose which trail to hike. Trail A is 3 miles long, all uphill, with an elevation change of 900 feet. Trail B is 1 mile long, also uphill, with an elevation change of 700 feet.

1. Which trail do you think would be more difficult to hike up?

2. Explain your answer to question

Answers

1. A would be more difficult to hike up.

2. Because it has more miles than B does and the elevation is lowers

Complete the missing terms in the sequence
6, 3, 0,


,

Answers

Answer:

-3

Step-by-step explanation:

subtract 3

Camillo needs 2,400 oz of peanut butter.

What size container should Camillo buy?How many of those containers will he need?What will be the total cost of those containers?

Answers

Answer:

1. 32

2. 75

3. 384

Step-by-step explanation:

I did the assignment, on EDGE2020 and got it correct

0.072 as a multiple power of 10

Answers

Answer:

0.72 I think but not sure

Thank you ☺️☺️


In this task, you'll write three diary entries. As you write, please keep in mind the elements of diary
writing. You will probably have to do some research into some of the diary entry topics in order to
fully understand them.
First, choose any three topics from the six listed below:
Think about your biggest pet peeve and write an entry explaining what that pet peeve is and
why it bothers you.
• Who do you believe is the most fascinating famous person? The individual you choose can be
living or dead. Write an entry explaining who this person is and why you think they are
fascinating
The author Mark Twain once said, "Humor is tragedy plus time." Keeping in mind what you
know about the words humor and trageny, write an entry explaining what this quote may
mean. In your entry, use an example from your life to support your explanation.
• Has there ever been a time in your life when you felt invisible? Think of this time and write an
entry explaining what happened to make you feel this way and how you dealt with the
feeling
• Many people believe that it is important to find ways to pay it forward in their daily lives.
Think about what "pay it forward" means. Write an entry explaining what you believe this
expression means and provide an example of this practice that you have witnessed.
• Think about a time in your life when you had to deal with adversity. Write an entry explaining
the situation. In the entry, explain how the situation made you feel and how you overcame
those feelings
WRITE THE ESSAY DOWN PLZZZZ ILL

Answers

Answer:

Dear diary,

I know I haven't written in you for awhile, but I've been busy with school. I had a really cool teacher this year that helped me through US History. Okay, it took a bit of energy and yeah maybe it wasn't personally fun fighting with myself to remember answers, but he had a game that helped me practice and beat the tests and quizes. At the time I was in class he waited until everyone was done with notes and gave us a free 100% for every chapter notes we finished. He helped everyone and got them finished in time.

I hope I have this teacher again next year.

Dear diary,

I have many pet peeves...

- People who can’t FREAKIN cover themselves when they sneeze or cough!

- People who interrupt when I am speaking

- Slow Walkers

- Rude/Slow drivers

- Know-it-all’s

- Someone leaving the water running and same goes for lights

- People who talk while their mouth is full

And that’s all I could think of..and these bother me because they just do. Like it’s rude, unhygienic, and not environmentally friendly.

Step-by-step explanation:

Answer:

I hope this helps!! also don't forget to paraphase this!!

Step-by-step explanation:

Many people believe that it is important to find ways to pay it forward in their daily lives. Think about what “pay it forward” means. Write an entry explaining what you believe this expression means and provide an example of this practice that you have witnessed.

I feel the meaning of “pay it forward” means responding to kindness to yourself with kindness to someone else.

Dear diary, There was one time one of these little kids were all alone and were crying and I decided that I would give the kid company. I had asked her what was wrong and she had said her friends were ignoring her and at that time that was happening to me too! So I decided we would go tell the yard duty. Once we had told the yard duty, the yard duty had said show me where they are. Once we showed her they talked and the little girl gave me a big bear hug! 

Years passed and I was all alone and one of my friends (Connor) had seen me and asked if I was ok. I said I guess I’m just bored and don’t want to play what my friends were playing. He said come play with me! We started to play kickball and I absolutely enjoyed it until his brother came to play. I didn't like him playing because he always made fun of me when I couldn’t kick it. I eventually didn’t want to play anymore because of Connor’s brother so I went to sit back down by the tree I was sitting at before. Conner didn’t like the way his brother was treating me. 

After I had told him, he asked me what was wrong. I told him I didn't like the way his brother Anthony was treating me . He said he would make sure his brother wouldn’t be mean anymore. I came back to play kickball again and Anthony started calling me a crybaby because I left. I was about to burst into tears until Connor told his brother to knock it off or he would hit him in the head with a ball! I laughed, Connor laughed, and even Anthony’s friends laughed!! 

In conclusion, this story is an example of “pay it forward”. There are very many examples that everyone can relate to. This story explains what paying it forward means because kids could help bullying and know that they helped a kid extremely and could help the child that is getting bullied to help someone else.

10 points
HEELP IMEDIALLTLY

Use linear equation to calculate intercepts.

Answers

Answer:

a=8, b=-4

Step-by-step explanation:

set both equal to zero

a: 0 (-1/2)(8)=-4

-1/2y=-4, multiply both sides by the reciprocal of -1/2, which is -2

y=8 when you multiply both sides by -2

b: 4-(0)(0)=-4

when y is 0, the equation become x-0=-4

or x=-4, meaning x must equal -4

Answer:

a is equal to 8

b=-4

Step-by-step explanation:

The graph above shows the amount of protein
supplied by five different food products, A, B, C, D,
and E, as a percentage of their total weights. The
costs of 10 grams of products A, B, C, D, and e are
$2.00, $2.20, $2.50, $4.00, and $5.00, respectively.
Which of the five food products supplies the most
protein per dollar?

Answers

The answer is 2.00 dollars

Answer:

Can you explain a faster way to do this problem rather than figuring out the grams of protein per dollar for each one? Thank you!

The graph above shows the amount of protein

supplied by five different food products, A, B, C, D,

and E, as a percentage of their total weights. The

costs of 10 grams of products A, B, C, D, and E are

$2.00, $2.20, $2.50, $4.00, and $5.00, respectively.

Which of the five food products supplies the most

protein per dollar? (question 17, Section 4, practice PSAT)

Step-by-step explanation:

Can you explain a faster way to do this problem rather than figuring out the grams of protein per dollar for each one? Thank you!

The graph above shows the amount of protein

supplied by five different food products, A, B, C, D,

and E, as a percentage of their total weights. The

costs of 10 grams of products A, B, C, D, and E are

$2.00, $2.20, $2.50, $4.00, and $5.00, respectively.

Which of the five food products supplies the most

protein per dollar? (question 17, Section 4, practice PSAT)

At a quiz competition for every question team A answered correctly team B answered 2 questions correctly. The ratio of the number of questions team A answered correctly to the number of questions team B answered correctly is ___ 1 to1 2 to 1 1to2 2to2

Answers

Answer:

1 to 2

Step-by-step explanation:

If A answers 1 question, B will answer 2 questions, making the ratio 1 to 2

Answer:

The answer is 1 to 2 i did the quiz on flvs

Step-by-step explanation:

On the map the distance between two towns is 10.5 centimeters. If 3 centimeters represents 90 miles what is the actual distance between the cities in miles?

Answers

Answer: 315 miles

Step-by-step explanation: First divide 10.5 and 3.

10.5 / 3 = 3.5

Then multiply that by 90.

3.5 x 90 = 315

The actual distance in miles between the cities is 315 miles.

Given,

On the map the distance between two towns is 10.5 cm.

If 3 cm represents 90 miles what is the actual distance between the cities in miles?

How to compare two quantities?

We need to multiply in such a way that we get the required expression in one side of the equation.

Example:

If 9 apples in 3 baskets.

9 apples = 3 basket.

In 2 basket we have,

3 basket = 9 apples

Multiply 2/3 on both sides.

2/3 x 3 basket = 2/3 x 9 apples

2 basket = 6 apples.

We have,

Distance between two towns = 10.5 cm

3 cm represents 90 miles.

We can write it as:

3 cm = 90 miles

Multiply 10.5/3 on both sides

10.5/3 x 3 cm = 10.5 / 3 x 90 miles

10.5 cm = 10.5 x 30 miles

10.5 cm = 315 miles

Thus the actual distance in miles between the cities is 315 miles.

Learn more about representing actual distance in km on a map in cm here:

https://brainly.com/question/16688000

#SPJ2

what is 200 digits of pi​

Answers

Answer:

3.141592653589793238462643383279502884197169399375105820974944592307816406286 208998628034825342117067982148086513282306647093844609550582231725359408128481 117450284102701938521105559644622948954930381964428810975665933446128475648233 786783165271201909145648566923460348610454326648213393607260249141273724587006 606315588174881520920962829254091715364367892590360011330530548820466521384146 951941511609433057270365759591953092186117381932611793105118548074462379962749 567351885752724891227938183011949129833673362440656643086021394946395224737190 702179860943702770539217176293176752384674818467669405132000568127145263560827 785771342757789609173637178721468440901224953430146549585371050792279689258923 542019956112129021960864034418159813629774771309960518707211349999998372978049 951059731732816096318595024459455346908302642522308253344685035261931188171010 003137838752886587533208381420617177669147303598253490428755468731159562863882 353787593751957781857780532171226806613001927876611195909216420198938095257201 065485863278865936153381827968230301952035301852968995773622599413891249721775 283479131515574857242454150695950829533116861727855889075098381754637464939319 255060400927701671139009848824012858361603563707660104710181942955596198946767 837449448255379774726847104047534646208046684259069491293313677028989152104752 162056966024058038150193511253382430035587640247496473263914199272604269922796 782354781636009341721641219924586315030286182974555706749838505494588586926995 690927210797509302955321165344987202755960236480665499119881834797753566369807 426542527862551818417574672890977772793800081647060016145249192173217214772350 141441973568548161361157352552133475741849468438523323907394143334547762416862

Step-by-step explanation:

Answer:3.14159265358979323846264338327950288419716939937510582097494459230781640628620899862803482534211706798214808651328230664709384460955058223172535940812848111745028410270193852110555964462294895493038196

Step-by-step explanation:teehee

complete the pattern. 4,9,14,19,__,__,__,__​

Answers

Answer:

24,29,34,39

Step-by-step explanation:

4,9,14,19,24,29,34,39

I’m not very great a math and I’m a bit rush so yeah

Answers

Answer:

y=1/10x -9

Step-by-step explanation:

slope intercept formula -  y=mx+b

1/10 x i apologize if the answer is wrong but i hope this helped!


A hairdresser is deciding to open her own studio. If the hair dresser chooses Location A she will pay $1200 in rent and will earn $45 per
haircut. If she chooses Location B, she will pay $1800 in rent and will earn $60 per haircut. How many haircuts would she have to give to make
the same profit in either location?

Answers

Answer: x = Number of haircuts

Location A profit: 45x-1200

Location B profit: 60x-1800

(Lets assume that the profit is the same for each location)

45x-1200=60x-1800

By solving that we found:

x = 40 Haircuts

Hope this helps!

Step-by-step explanation:

( PLEASE HELP I WILL GIVE BRAINLIESTT! ) Lin ran 234 miles in 25 of an hour. Noah ran 823 miles in 43 of an hour.
Who ran faster, Noah or Lin? Lin ran faster.

How far would Lin run in 1 hour? Lin would run 55/8 an hour.


How far did Noah run in 1 hour? Noah ran ½ kilometers in



How long would it take Lin to run 1 mile at that rate?



How long would it take Noah to run 1 mile at that rate?

Answers

Answer:

the answer is 3 opinion

the sum of the 2 integers is -112. if one of them is -109 find the other​

Answers

Answer:

let x and be the two integers

x+y=-112

if one of them is -109

let x be one of the that is substitute-109 to the above equation

-109+y=-112

collect like terms to the left hand side.

-109+112=-y

3=-y

move the sigh to the constant

y=-3

9. If one inch represents 14 feet,
what dimensions would you use
to make a scale drawing of a
building 84 feet by 126 feet?

Answers

Answer:

the answer would be 6in. by 9in.

Step-by-step explanation:

you have to divide 84 by 14 and 126 by 14

of your division problem by the divisor and compare the result with the dividend. If they are equal, your division was correct. SAMPLE PROBLEM 1: Divide 564 by 47, and check your result with multiplication. your quotient.

Answers

Respuesta:

La respuesta de tu división es  exact  

Step-by-step explanation:

Tu división es de 564/47 el consciente es: 12 ahora multiplicamos 47*12 = 564

Write the domain and range of the function as an inequality

Answers

Answer: Choice C

Domain = [tex]-\infty < x < +\infty[/tex]

Range = [tex]y \le -4[/tex]

======================================

Explanation:

The arrows on the graph indicate it goes on forever in both left and right directions. So the domain is the set of all real numbers and as an inequality, we write [tex]-\infty < x < +\infty[/tex] which is the same as saying [tex]-\infty < x < \infty[/tex]

This says x is between negative infinity and positive infinity.

In set builder notation, we would say [tex]\{x | x \in \mathbb{R}\}[/tex] and in interval notation, we would write [tex](-\infty, \infty)[/tex]

As you can probably see, the domain is the set of all possible x inputs of a function.

--------------------------

The range is the set of all possible y outputs of a function.

The largest output is y = -4 which is where the vertex is located.

There is no smallest y value as the arrows point down, and the graph goes forever in that direction.

So we say the range is [tex]-\infty < y \le -4[/tex] which shortens to [tex]y \le -4[/tex]

The range in set builder notation is [tex]\{y | y \in \mathbb{R}, \ y \le -4\}[/tex]

The range in interval notation is [tex](-\infty, -4][/tex] The square bracket says to include the endpoint, while the parenthesis excludes the endpoint.

2x + y = 1
what are the x and y intercepts if this was plotted on a line graph

Answers

x=1/2 or 0.5 & y=1

x intercept (value of x when y is 0)
So plug in 0 for y
2x+0=1
2x=1
Divide both sides by 2
x=1/2

Y intercept (value of y, when x is 0)
2(0)+y=1
y=1

How many degrees are in a half of a full turn? another dumb question lol

Answers

160
Is the the answers r I did this before trust me

Answer:

180 degrees is half of a full turn 360 degrees in a full turn

Step-by-step explanation:

Other Questions
The various steps of a food chain or web are known as ______. These explain where an organism sits on an ecological pyramid. Who were the Spartans?1.male nobles2.males in the army3.malesintheGeneralAssembly4.males in the Council The image below shows a model of the atom. Which subatomic particle does the arrow inthe image below identify??A. electronB. neutronC. orbitalD. proton Create a timeline of the life of Julius Caesar.I have a timeline, I just need somebody to put the events in order.Gaius Julius Caesar was born in Rome on July 12 or 13 100 BCE. Born into an upper class family, Caesar and some of his relatives held important positions in the government. 409 years before Julius was born the Republic of Rome was a dangerous time. The republic was being governed by a Senate. Senates were elected by the people of Rome. When Rome was growing in population, it made it more difficult to govern. Senators fought amongst themselves for more power. The working class became frustrated with the noble class governing. It lead to civil wars in the republic. Caesar aligned himself with people who were against the nobility. He started his share in politics as an advocate in 78 BCE. He decided to study oratory in Rhodes, Greece in 76 BCE. During the trip he was captured by pirates. They held him for ransom money. Caesar got the ransom money himself and got released. Instead of retiring to his homeland, Caesar decided to organize a naval force that captured the pirates. Two years later, in 74 BCE, with no official place in the Roman government or army, Caesar decided to organize a private army. This army fought off the king of Pontus who was declaring war on the Romans. All of these events made Caesar well known and a public disagreement. He moved his way through different political positions in a dishonest way. Although Roman Senates disliked Caesar, they appointed him Farther Spain. In 59 BCE, Caesar was elected into consul no matter the Senates attempts to prevent it. Consuls had significant power and Caesar took advantage of this power. He formed the first triumvirate. He combined his power with Pompey and Crassus. Crassus was a wealthy politician and Pompey was a war hero who was not liked among the Senates. Caesar decided to pay off Pompeys soldiers by giving them land to reward Pompey. People organized a riot because they disliked the idea. These riots caused chaos. Caesar took this as a distraction to get his way. This distraction allowed Caesar to become governor of Gaul. Around 58 and 50 BCE, Caesars military conquered all of Gaul. During that time, Caesars triumvirate was falling apart while he was becoming very successful. Caesar gained enemies because he was becoming successful. Caesar thought the only way to protect himself was to seize the rest of Rome. In 49 BCE he began a civil war after leading his troops across the Rubicon River into Italy. In 46 BCE he made himself a dictator of Rome. He continued defeating his enemies before returning into Rome after a year. When he made his return he adopted his great nephew, Augustus. Caesar never had a son of his own. Caesar revised the Roman calendar and made Senates more representative. He made many foreigners, citizens of Rome. Although Caesar tried his best in protecting himself, Caesars old enemies and some of his supporters devised a plan to assassinate him. On March 15, 44 BCE, Caesars enemies killed him in the Senate House. Augustus, Caesars nephew, eventually took over in 32 BCE. Caesar made a long line in history of emperors. PLEASE PLEASE HELP 5 MINUTES HELPP HELPP WILL MARK BRAINLIEST!!!!! What are the most effective tools for establishing and preserving freedom? The answer is 10 but just tell me why its ten and I will give brainliest What was an effect of the abolitionist movement?A. Greater cooperation between people of different areas andbackgroundsB. 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Thank you It is well known that generally a female's growth spurt occurs before a male's; therefore thefemale's height data will likely be higher than the male's data.Discuss this idea in a well-structured paragraph. Use your calculations of the mean, median, modeand range of the data to support your decision. Describe one possible consequence of not having social or emotional needs met. **100** The given data represent the total compensation for 10 randomly selected CEOs and their company's stock performance in 2009. Analysis of this data reveals a correlation coefficient of r = 0.1887. What would be the predicted stock return for a company whose CEO made $15 million? What would be the predicted stock return for a company whose CEO made $25 million? Marking Braniest!!! What is 100444 Please help number 7 A balloon is a sphere with a radius of 5.0 m. The force of air against the walls of the balloon is 45 N. What is the air pressure inside the balloon? Surface area = 12.56 radius 1 Pa = 1 N/m How would I solve this problem? What are the steps or a good way to remeber how to solve? A copy machine produces 40 copies in 5 minutes. How many copies can the machine make in 3 minutes? Solve and explain your solution.