A stable roommate problem with 4 students a, b, c, d is defined as follows. Each student ranks the other three in strict order of preference. A matching is defined as the separation of the students into two disjoint pairs. A matching is stable if no two separated students prefer each other to their current roommates. Does a stable matching always exist

Answers

Answer 1

Answer:

Each student ranks the other three in strict order of preference.

Step-by-step explanation:

When 4 different students from different background and personality lives together, there seems to be a room for the problems and stability between them. When the problem of stability arises, it would be as a result of the other 3 students ranking each other in strict order of preference regarding to their relationship and association.

Related Questions

Simplify i41
i
−1
−i
1

Answers

Answer:

Its i

Step-by-step explanation:

I got it right on the test

The value of the given expression is i.

We want to simplify the expression [tex]i^{41}[/tex].

What is an imaginary number?

An imaginary number is a real number multiplied by the imaginary unit i, which is defined by its property i² = −1. The square of an imaginary number bi is −b².

The given expression [tex]i^{41}[/tex] can be written as [tex](i^{4})^{10}.i[/tex]

The value of i²=-1, then [tex]i^{4}[/tex]= i².i²=(-1)(-1)=1

Now, [tex](1)^{10}.i=1\times i=i[/tex]

Therefore, the value of the given expression is i.

To learn more about an imaginary number visit:

https://brainly.com/question/6748860.

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How do you write fraction for 0.105

Answers

Answer:

21/200

Step-by-step explanation:

take .105 and put it over thousand ( 105/1000) then see what number you could divide by to make the fraction smaller (105/1000 ÷ 5) then divide by that number (105/1000 ÷ 5 = 21/200)

There ya go!

Answer:

The answer is 21/200

If granola costs $2.30 per pound, how much does 0.7 pound of granola cost?

$1.61
$2.37
$3.00
$3.29

Answers

Answer:

1.61

Step-by-step explanation:

Answer:

Step-by-step explanation:

How can you match up the disk and the given information?

Answers

Answer: The first diagram you selected is the correct visual representation.

Check out the diagram I posted below. The red vertical line is x = 0, aka the y axis. The blue parabola is 3x = y^2. The green horizontal line is y = 6. The region bounded by these curves is the gray shaded region.

Spinning that gray region around the y axis results in the first diagram in your answer choices. The disk in pink is a cross section to help find the volume (through the use of integral calculus).

Does it matter which two points you start on when calculating slope?

Answers

It does not matter which of the two "slope" formulas you use, nor does it matter which point you pick to be your "first" and which you pick to be your "second". The only thing that matters is that you subtract your x-values in the same order as you had subtracted your y-values.

no it doesn’t matter

15,593 rounded to the nearest 10

Answers

Answer:

15,590

Step-by-step explanation:

You had to round down

15,590 is the answer

Find the unknown side length x. Write your answer in simplest radical form.
50
X
30
A. 35
B. 40
C. 45
D. 48

Answers

The answer is B. 40. The three angles of a triangle should all add up to 140 degrees (give brainliest)

Darrell writes 15 text messages in 5 minutes. what is the minutely rate?

_____ texts per minute

Answers

Simple, 3. If you need the work, 15 messages in 5 minutes would mean 3 messages in 1 minute, since 5x3= 15. Or you can say 15/5=3

I hope that helps!

Convert 15,840 feet into miles. (1 mile = 1,760 yards; 1 yard = 3 feet)

Answers

Answer: 3.00170455 miles

Step-by-step explanation:

Answer:

3 miles

Step-by-step explanation:

Look at the image please

Answers

Answer:

Put Plot R at 2. Put Plot S at 1 1/2

Step-by-step explanation:

For Plot S:

- 7/2 - 3/4 - ( -1/4 - 2/12)

-7/2 - 3/4 -(- I/4 - 5/2

-7/2 - 3/4 - (-11/4)

-7/ - 3/4 + 11/4

Answer: -3/2

For Plot R:

7/2 - (-3/4) - (-1/4 + 2 1/2)

7/2 + 3/4 -(- 1/4 + 2 1/2)

7/2 + 3/4 - (-1/4 + 5/2)

7/2 + 3/4 - 9/4

Answer: 2

Brainliest is appreciated

Hope this helped.

The Coca-Cola Company reported its 1Q 2014 results on or before April 14, 2014

Answers

thanks for sharing my guy, very cool

Hyth

Ddkkdjdxxdminnesota

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is 3.14 or 9 greater

Answers

Answer:

9 is greater

Step-by-step explanation:

Answer:

9 is greater

Step-by-step explanation:

because

3 is less than 9 right.

3.14 is only 0.14 more than 3 right

so 9 remains the greater number

Find the unit rates: 8 ounces for $0.89? 32 ounces for $2.39?

(Giving brainliest to whoever answers first!)

Answers

Answer:

.89/8=.11

2.39/32=.07

Step-by-step explanation:

.89/8=.11

2.39/32=.07

How would you match these up?

Answers

Answer: Bottom right corner (ie southeast corner)

This 3D solid is a strange sideways bowl shape. Each cross section is a ring to show the empty space.

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

Explanation:

Check out the diagram below. The graph was created with GeoGebra. We have y = x^2 in red and x = y^2 in blue.

The gray region is the region between the two curves. We spin this gray region around the horizontal green line y = 1 to generate the answer mentioned above.

Note how (1,1) is a fixed point that does not move as this is on the line y = 1. Every other point moves to sweep through 3D space to create the solid figure. One way you can think of it is to think of propeller blades. Or you can think of a revolving door (the door is "flat" so to speak, but it sweeps out a 3D solid cylinder).

Jake ran 5/7 of the distance around the school tack. Annabelle ran 4/5 of Jake's distance. What fraction of the total distance around the track did Annabelle run?

Answers

Answer: 4/7

Step-by-step explanation:

Multiply 5/7 by 4/5. The keyword is "of" which means multiply. Once you multiply them, you will get 20/35. You can simplify this to 4/7.

(x-10) (x-2)
Simplest form

Answers

(x-10)(x-2) = x²-2x-10x+20 = x²-12x+20

2. Write each expression using exponents
(10 Points)
(-5) (-5)(-5) (-5)

Answers

Answer:[tex]-5^{3}[/tex]

Step-by-step explanation

Find the midpoint of a line segment with endpoints (-3,-4) and (-7,-5).

Answers

Answer:

-5,-4.5

Step-by-step explanation:

use the midpoint formula

I multiplied my number by several different numbers, and each time got the same result! What was that result? What was my number?

Answers

Answer:

Step-by-step explanation:

Question 3
3. 2(x + 4) = 4x + 3 - 2x + 5
Your answer

Answers

Answer:

8=8

Step-by-step explanation:

2(x + 4) = 4x + 3 - 2x + 5

2x+8=2x+8

8=8

Combine like terms , please help !

Answers

Answer:

-4

Step-by-step explanation:

1 Collect like terms.

(6-10)+(-3x+3x)(6−10)+(−3x+3x)

2 Simplify.

-4

simplify the expression 4+ (11-3)2

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

First, because of order of operations, PEMDAS, you solve in the parenthesis first:

4+ (11-3)2

4+ (8)2

Then multiplication:

4+ 16

Then addition:

Hope this helps!

Plz name brainliest if possible!

5 groups of 2 hundredths

Answers

Answer: 0.1

Step-by-step explanation:

2 hundredths could be written as 0.02

And 5 group of them is the same as 0.02 times 5.

0.02 * 5 = 0.1

PLZZ BRAINLIEST

Answer:

Step-by-step explanation:

OR IT COULD BE

0.02

5 = 0.1

Please answer this correctly without making mistakes

Answers

Answer:

12 in.

Step-by-step explanation:

120yrds/10yrds=12in

Find the difference: -10 - 5 = *

Answers

Answer:

-15 is your answer

Step-by-step explanation:

-10-5=-1

Answer:

the answer is -15

Step-by-step explanation:

because you just add them put keep your negative

( 4x² - 5x + 1) + (-3x² + x +5)

Answers

Answer:

x^2-4x+6

Step-by-step explanation:

[tex](4x^2 -5x +1) +(-3x^2 +x+5)\\\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=4x^2-5x+1-3x^2+x+5\\\\\mathrm{Group\:like\:terms}\\=4x^2-3x^2-5x+x+1+5\\\\\mathrm{Add\:similar\:elements:}\:4x^2-3x^2=x^2\\=x^2-5x+x+1+5\\\\\mathrm{Add\:similar\:elements:}\:-5x+x=-4x\\=x^2-4x+1+5\\\\\mathrm{Add\:the\:numbers:}\:1+5=6\\=x^2-4x+6[/tex]

Answer:

Step-by-step explanation:

4x^2 - 3x^2 - 5x + x + 1 + 5

x^2 - 4x + 6

An automobile traveled 106 miles in 2 hours. What was average speed? Use the formula d = rt .
104 mph
0.02 mph
53 mph
108 mph
212 mph

Answers

The average speed of the automobile is 53mph.

Description of average speed

Average speed is the total distance travelled by the automobile (106 miles) divided by the total hours travelled by the automobile (2 hours). It is the rate of the movement of the automobile.

Determining the average speed

Average speed = total distance travelled / total time travelled

106 / 2 = 53 mph

To learn more about how to determine average speed, please check: brainly.com/question/9834403

What are some considerations you need to make before choosing a career?

Answers

Answer: SMART Goals

Step-by-step explanation:

Smart goals are in abbreviation of specific, measurable, achievable, realistic, and timely. This helped me choose my career because I use my career as a goal .

A survey was given to 271 people asking whether people like dogs and/or cats. 108 said they like dogs 164 said they like cats 63 said they don't like cats or dogs. How many said they liked cats but not dogs?

Answers

Answer:

164 people

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

108+164+63=335 total

335-271=64 like both

164-64=100 like only cats

Which polynomial is prime? x2 + x + 1 x2 – x – 2 x2 – 12x + 11 x2 + 2x – 8

Answers

Answer:

[tex]x^{2} +x+1[/tex]

Step-by-step explanation:

[tex]x^{2} +x+1[/tex] is the only prime polynomial because the others can be factored.

[tex]x^{2} - x -2 \\becomes (x-2)(x+1)[/tex]

[tex]x^{2} -12x+11\\becomes (x-11)(x-1)[/tex]

[tex]x^{2} +2x-8\\becomes (x+4)(x-2)[/tex]

In between these four polynomials, x² + x + 1 is the only prime polynomial.

What is a prime polynomial?

A prime polynomial doesn't have any factor except 1 and itself.

Given,

x² + x + 1 = 1 × (x² + x + 1)

x² – x – 2 = x² - 2x + x - 2 = x(x - 2) + (x - 2) = (x - 2)(x + 1)

x² – 12x + 11 = x² – 11x - x + 11 = x(x – 11) - (x - 11) = (x - 1)(x - 11)

x² + 2x – 8 = x² + 4x – 2x - 8 = x(x+4) - 2(x+4) = (x-2)(x+4)

Therefore, x² + x + 1 is the only prime polynomial here.

Learn more about prime polynomial here: https://brainly.com/question/15562251

#Tag #SPJ2

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