Use the extended euclidean algorithm to express gcd(252, 356) as a linear combination of 252 and 356.

Answers

Answer 1

The Euclidean algorithm gives us

356 = (1 • 252) + 104

252 = (2 • 104) + 44

104 = (2 • 44) + 16

44 = (2 • 16) + 12

16 = (1 • 12) + 4

12 = (3 • 4) + 0

which means gcd(252, 356) = 4. Now we work backwards:

4 = 16 - 12

4 = 16 - (44 - (2 • 16)) = (3 • 16) - 44

4 = 3 • (104 - (2 • 44)) - 44 = (3 • 104) - (7 • 44)

4 = (3 • 104) - (7 • (252 - (2 • 104))) = (17 • 104) - (7 • 252)

4 = (17 • (356 - 252)) - (7 • 252) = (17 • 356) - (24 • 252)


Related Questions

Is this statement true or false? "blowin' in the wind" and "the times they are a-changin'" became theme songs for the counterculture because their messages supported civil rights and protested war. true false

Answers

Answer:

the answer for that would be true

Explanation:

i did the k12 quiz

Answer:

Give mon7268 brainliest.

Explanation:

Its correct!

Select the correct answer.simplify the following expression.a. b. c. d.

Answers

Answer:

what is the question ?

where are the options?

Mr. red's first year salary is $40,000 and it increases by $1000 each year. what is the explicit rule for this sequence in simplified form?

Answers

If Mr. red's first year salary is $40,000 and it increases by $1000 each year. The explicit rule is: an = 1000n + 39,000.

Explicit rule

First term (a1) =40000

Common difference (d) = 1000

Using this formula to find the explicit rule

an = a1 + (n - 1) ×d

Let plug in the formula

an = 40000 + (n - 1) × 1000

Evaluate

an = 40000 - 1000 + 1000n

an =39,000 + 1000n

Rewrite

an = 1000n + 39,000

Therefore the explicit rule of Mr. Red's salary is:  an = 1000n + 39,000.

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A student reads in a newspaper that the soil in his area contains high levels of arsenic. Based on this information, he believes that his fellow high school classmates have this metal present in their bodies. To test his hypothesis, he conducts an investigation of the soil in his school yard to see if it is contaminated with arsenic. He tests seven different areas around the school and finds high levels of arsenic in each. He concludes that the students at the school must have high levels of arsenic in their systems as well. Which of these is the best evaluation of his conclusion?

Answers

The best evaluation of his conclusion is it is flawed because he did not test the students to see if their bodies contained metal arsenic.

What is arsenic?

Arsenic is an element that is usually found mixed with sulfur and other metals.

Its heavy exposure can cause fatalities and its exposure for a long time can damage the liver, skin, kidney, etc.

In the experiment, he doesn't test students for correct results, so the experiment is flawed.

Thus, the correct option is D, His conclusion is flawed because he did not test the students to see if their bodies contained metal arsenic.

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A company is considering a capital investment of $16,000 in new equipment which will improve production and increase cash flows for the next five years at the following amounts: year 1: $8,000; year 2: $6,000; year 3: $5,000; year 4: $6,000; year 5: $5,000. the payback period is years.

Answers

Based on the cost of the capital investment in the new equipment and the cash flows for the next five years, the payback period is 2.4 years.

What is the payback period?

The payback period can be found by the formula:

= Year before payback + Amount remaining to be paid / Cashflow in year of payback

The year before payback can be inferred to be the Second year because $14,000 would have come in.

The remaining amount is:

= 16,000 - 14,000

= $2,000

Payback period is:

= 2 + 2,000 / 5,000

= 2.4 years.

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Grains seeds nuts and root vegetables are examples of

Answers

Answer:

Complex Carbohydrates

Explanation:

they are examples of complex carbohydrates

Carla weaves a rug in six days. She weaves two feet on the first day. She weaves 1/2 foot on each of the next two days. She weaves 14 inches on each of the three days. How many inches of rug does Carla weave in all

Answers

Answer:

Explanation:

Chart

Day                          Raw Dats                 Decimal Form

Day One                  2 feet                       2.0 feet

Day Two                  1/2 foot                     0.5 feet

Day Three                1/2 foot                     0.5

Day Fout                   1.167                          1.167

Day Five                    1.167                          1.167

Day Six                      1.157                           !.167

Total in Feet                                               6.5 feet.

Notes

1.67 is actually 1 1/6 feet. When mulctiplied by three 1 1/6 * 3 = 3 and 1/2 feet                                    

Convert 6.5 feet to inches

6.5 * 12 = 78 inches.

Answer

The rug was 78 inches long

8-1 additional practice right triangles and the pythagorean theorem envision geometry

Answers

The value of x in the right triangle using the Pythagorean theorem is 15 units

How to determine the value of x in the right triangle?

From the right triangle (see attachment), we have the following Pythagoras theorem

x² = 12² + 9²

Evaluate the exponents

x^2 = 144 + 81

Evaluate the sum

x^2= 225

Take the square root of both sides

x = ±15

The value of x cannot be negative.

So, we have:

x = 15

Hence, the value of x is 15 units

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What is the volume of the right rectangular prism? 21 cm3 42 cm3 120 cm3 240 cm3

Answers

Answer:

D) 240cm3

Explanation:

took test

The moment of inertia about the axis of a solid cylinder is _____ the moment of inertia of a cylindrical shell having the same mass and radius.

Answers

The moment of inertia about the axis of a solid cylinder is less than the moment of inertia of a cylindrical shell having the same mass and radius.

How to calculate moment of inertia?

Mathematically, the moment of inertia for a solid cylinder is calculated by using this formula:

I = (1/2)mr²

Where:

m is the mass.r is the radius.

In conclusion, the moment of inertia about the axis of a solid cylinder would be less than the moment of inertia of a cylindrical shell that has the same mass and radius because the mass of the solid cylinder must be taken near the axis of rotation, which makes it smaller.

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The incident command system (ics) and nims are the same, and these terms can be used interchangeably.

Answers

The incident command system (ICS) and National Incident Management System (NIMS) are the same, and these terms can be used interchangeably: False.

What is ICS?

ICS is an abbreviation for incident command systems and it can be defined as a subset of the National Incident Management System (NIMS) which is typically used for planned events, as well as for emergencies and coordinated responses in various business organizations or circumstances.

This ultimately implies that, incident command system (ICS) and National Incident Management System (NIMS) are not the same, and these terminologies cannot be used interchangeably because they mean different things.

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What is hempel’s claim in this excerpt? what evidence does hempel provide? what type of evidence does hempel use?

Answers

The answers to the Hampel's claims and the others are:

Regime should or can use of the social media against its protestors.Government forms or develop false stories on social media.Testimony given by an expert.

What is a claim?

This is known to be a kind of statement that is often made so as to take a side on any given issue that arises in an argument.

Note that Hampel's claim in this excerpt was that the Regime should or can use of the social media against its protestors and the evidence that Hampel provide was that Government forms or develop false stories on social media.

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Answer:

C, B, & A

Explanation:

i did it

All of the following statements about invasive exotic species are true except:

Answers

The only statement that is not true about Invasive Species is; E. They tend to have low reproductive rates.

What are invasive species?

Invasive Species are simply defined as plant or animal species that invade ecosystems.

Now, these invasive species are mostly introduced to ecosystems from another ecosystem and as such immediately they establish themselves, will be out-competing native species for resources.

Invasive species generally have high reproductive capacities and efficient dispersal mechanisms. Thus, option E is the wrong option

The missing options are;

a. They may compete with native species for food.

b. They may prey on native species.

They are generally introduced by human activity.

d. They may be plant or animal species.

e. They tend to have low reproductive rates.

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Into how many categories has the usda divided recipes

Answers

Answer:

it was divided into 9 categories

Explanation:

hope this helps;)

A rifle of mass 2 kg is suspended by strings. the rifle fires a bullet of mass 0.01 kg at a speed of 200 m/s. the recoil velocity of the rifle is about

Answers

Answer:

-1m/s

Explanation:

P gun+ P bullet= P gun + P bullet

u= for both at first is zero

then

-P gun=P bullet

hence

P=mv

-2v=(0.01×200)

-2v=2

v= -1m/s

In your own words, summarize the steps you took to complete the lab. Explain what the test (independent) variable was, and what the outcome (dependent) variable was

Answers

Answer:

En sus propias palabras, resuma los pasos que siguió para completar el laboratorio. Explique cuál fue la variable de prueba (independiente) y cuál fue la variable de resultado (dependiente)

Explanation:

Choose the best spanish word to complete the sentence. no __________esas palabras. (don't write those words.) escribes escriben escrito escribas

Answers

Answer:Escribas

Explanation: edge2022

The best Spanish word required to complete the sentence is escribas.

What is verb conjugation?

In every language, there is a need for the use of verbs in sentence construction. This is because they are called action words and they make the sentence meaningful.

In the Spanish Language, the present tense conjugation -ar, -er, -ir verbs are used to emphasize things happening presently and for general truths.

From the given sentence:

no __________esas palabras;

The verb to be used must be a verb with suffice "-as"

i.e.

no escribas esas Palabras

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What did the majority of supreme court cases in the 1960s have in common? states' rights were protected. civil liberties were expanded. government power was increased. criminal defendants' rights were limited.

Answers

Answer: Civil Liberties we’re expanded

Explanation: I got the answer correct

Answer: B.  Civil liberties were expanded.

Explanation:

What is the controlling idea? many people seeking to lose weight eliminate carbohydrates from their diets. carbohydrates’ bad reputation ignores the benefits they can offer. there are many dishes that pair healthy vegetables with pasta. athletes must increase their carbohydrate intake to improve performance.

Answers

Answer:

B.) Carbohydrates’ bad reputation ignores the benefits they can offer.

Explanation:

just took test 2022 edge

Carbohydrates’ bad reputation ignores the benefits they can offer, is the controlling idea according to the question. Therefore option B is correct.

What is Carbohydrate?

Exactly carbs are Sugar molecules makeup carbohydrates or carbs. Carbohydrates are one of the three primary nutrients included in foods and beverages, along with proteins and fats. Glucose is created by your body's breakdown of carbs. The primary energy source for your body's cells, tissues, and organs is glucose, also known as blood sugar.

Glucose, produced by the body's breakdown of carbs, serves as the main fuel for the brain and muscles. One of the three macronutrientsnutrients that the body needs in greater quantities—is carbohydrates.

Hence, Carbohydrates’ bad reputation ignores the benefits they can offer, is the controlling idea according to the question

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The puente hills landfill in california contains about 123 million tons of landfill waste and burns lfg to produce electricity. In a typical landfill, one million tons of landfill waste emits approximately 432,000 cubic feet of lfg per day. Calculate how much lfg is emitted at the puente hills landfill per year

Answers

The amount of landfill gas (lfg) which is emitted at the puente hills landfill in California per year is 53136000 cubic feet of lfg.

What is lfg (landfill gas)?

Landfill gas or lfg is the which is generated by the waste present on land by the action of microorganism.

The puente hills landfill in California contains about 123 million tons of landfill waste and burns lfg to produce electricity.

In a typical landfill, one million tons of landfill waste emits approximately 432,000 cubic feet of lfg per day. Thus, the cubic feet of lfg produced from 123 million tons is,

[tex]\text{lfg}=123\times432000\\\text{lfg}=53136000\rm; ft^3[/tex]

Thus, the amount of landfill gas (lfg) which is emitted at the puente hills landfill in California per year is 53136000 cubic feet of lfg.

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A fair coin is flipped 10 times and lands on heads 8 times. Provide a reason to justify the difference between the experimental and theoretical probabilities. Use the drop-down menus to explain your answer

Answers

Answer:

Explanation:

The experimental probability will be different because the chance of it happening doesn't mean it will always happen (which is why people with a 12% chance of life end up making it). This just means it is more likely to happen.

You can flip the coin enough times and things will start to even out

What is another way to use the help feature in access 2016? go to the backstage view using the file tab and select help. click the help icon that appears at the bottom right of the interface. use the light bulb at the top of the interface to gain access to shortcuts. use the first command group under the home tab to open a dialog box.

Answers

Answer:

C

Explanation:

I just got it right

How many​ 3-inch thick bags of mulch should noemi buy to cover 100 square feet at a depth of 4​ inches?

Answers

Seventeen, 3-inch thick bags of mulch should be used to cover 100 square feet at a depth of four inches.

What are inches and meters?

Inches and meters are the units to measure the length or the depth of the objects.

Given,

The length of the bag of mulch = 3.2 ft

The width of the bag of mulch = 2.5 ft

The thickness of the bag of mulch = 0.25 ft

The volume of the mulch bag is calculated as:

[tex]\begin{aligned} \rm volume &= \rm length \times width \times thickness\\\\&= 3.2 \times 2.5 \times 0.25\\\\&= 2 \;\rm cubic \; feet\end{aligned}[/tex]

Given,

The area to be covered = 100 square feet

The depth of the area = [tex]\dfrac{1}{3}[/tex] feet

The volume of the portion needed to be covered is calculated as:

[tex]\begin{aligned} \rm Volume &= \rm area \times depth\\\\&= 100 \times \dfrac{1}{3}\\\\&= 33 \; \dfrac{1}{3} \;\rm cubic \; feet\end{aligned}[/tex]

The number of bags is calculated as:

[tex]\dfrac{ 33 \; \frac{1}{3} }{2} = 16.66[/tex]

Therefore, 17 bags are needed.

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An electron has a mass of 9.109 x 10^{-31} kg. a positron is a positively charged particle with the same mass as an electron. when an electron and positron collide, they annihilate to convert all their mass into energy. . how much energy is released by the reaction of 1.00 mole of electrons and a positrons? select the closest answer.

Answers

The energy associated with the anihilation of the electron and the positron is 1.638 * 10^-13 J.

What is anihilation of matter?

Matter is anihilted when it collides with its antimatter. We know that the positron is the antimatter of the electron. Now, we have the total mass of the system as; 2(9.109 x 10^-31 Kg) = 1.82 * 10^-30 Kg

Using the Eienstein relation;

E= mc^2

E = 1.82 * 10^-30 Kg (3 * 10^8)^2

E = 1.638 * 10^-13 J

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The doctor said i had my meal at the restaurant and returned to my room change into reported speech

Answers

That’s crazy I’m not sure what to say

Which signs would likely need to be fingerspelled? most jobs, people whose name sign you do not know, and all movies and music only signs for people without a name sign or whose name sign you do not know people whose name sign you do not know, celebrities, movies, and music sporting activities, music, movies, and people whose name sign you do not know

Answers

The signs that would most likely be fingerspelled are; D) Sporting activities, music, movies, and people whose name sign you do not know

What are the fingerspelled signs?

Fingerspelling in American Sign Language (ASL) is defined as a system in which 26 one- handed signs represent the letters of the English alphabets.

Now, these signs are formed sequentially to spell out words borrowed from oral languages or even letter sequences.

In this question, the only option that represents signs that would need to be fingerspelled is Option D.

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When the only force acting on a falling object is gravity, the object is said to be stationary.

Answers

Answer:

Because students associate pushes and pulls with moving or active objects they often believe that stationary or passive objects have no forces acting on them at all.

Two organisms of different species are not likely to compete for the same

Answers

they are not likely to compete for the same mate.

Andrew pays $1824 per year in tuition. how much should he budget monthly for it?

Answers

Explanation:

He should $152 budget monthly for it.

(b) suppose a simple random sampling process is used to select the sample of 100 women. what is the probability that at least 30 percent of the women in the sample will not meet the age requirement for the internships?

Answers

Based on the information given, the probability

of a randomly sampled woman not being

qualified for the internship will be 0.223.

The probability of a randomly sampled woman

not being qualified for the internship will be:

= P(x<20) = P(x=17) + P(x=18) + P(x=19)

= 0.005 + 0.107 + 0.111 = 0.223

Also, the probability that at least 30 percent of

the women in the sample will not meet the age

requirement for the internships will be 0.03216

In conclusion, from the information given,

a woman who does not meet the age

requirement is more likely to be selected with

a stratified random sample than with a simple

random sample.

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