A car dealership sells cars that were made in 2015 through 2020. Let the cars for sale be the domain of a relation R where two cars are related if they were made in the same year. (a) Prove that this relation is an equivalence relation. (b) Describe the partition defined by the equivalence classes.

Answers

Answer 1

The given relation obeys reflexive, symmetric, and transitive properties, therefore, it is in relation to equivalence relation.

How is the equivalence relation depicted?

Let the domain of the relation is car(x) belongs to 2015 , 2016, 2017, 2018, 2019, 2020

To prove equivalence relation, we need to prove reflexive, symmetric, transitive properties.

Reflexive relation: x is related to x

Here car(x) is made in 2015, so, car(x)) is in R where R is reflexive relation.

Symmetric relation: x is related to y implies y is related to x

Here (car(x) , car(y)) is in R , i.e car(x) and car(y) are made in same year. R obeys symmetric property

Transitive property: x is related to y and y is related to z then x is related to z. Here (car(x),car(y)), (car(y), car(z)) is in R. Therefore (car(x) , car(z)) is in R

Therefore, the given relation obeys reflexive, symmetric, and transitive properties, therefore, it is in relation to equivalence relation.

B. The cars which are made in the same year are in one equivalence class all cars are made in overall 6 years. We get 6 equivalence classes. These classes are partitions, so we have six partitions

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Related Questions

What is the value of the y-intercept for all proportional relationships?
a. 1/2
b. 1/1
c. 0
d. 2

Answers

Answer:

a : 2 , b : 1 , c : 0 , d : 0

Step-by-step explanation:

a: 2

b: 1

c: 0

d:0

Answer:

d .

Step-by-step explanation:

I went over it in class .

can anyone give me this answere

Answers

[tex]\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=6\\ h= 11 \end{cases}\implies V=\cfrac{\pi (6)^2(11)}{3}\implies V=132\pi[/tex]

Shaquana read 34 pages in 1 1/3 hours. At what rate, in pages per hour, did she read

Answers

Based on the given conditions, formulate

34÷1 1/3

Find common denominator and write the numerators above common denominator:

34/3/3+1/3

Write the numerators over common denominator:

34/3+1/3

Calculate the sum or difference:

34/4/3

Divide a fraction by multiplying its reciprocal:34×3/4

Cross out the common factor:

17×3/2

Calculate the product or quotient:

51/2

get the result:

25.5 or 25 1/2

=25.5 or 25 1/2

A
Complete the transformation on the rectangle
ABCD shown and choose the resulting vector
Use [ABCD]

Answers

Answer:

(3 -1 -1 3

4 4 1 1)

reflection across the y-axis

Step-by-step explanation:

solve using completing the square method

Answers

Answer:

x=3.48 or -1.98

Step-by-step explanation:

2x^2-3x-8=0

x^2-1.5x-4=0

(x-0.75)^2=0

x^2-1.5x-0.5625=0

(x-0.75)^2-7.4375=0

(x-0.75)=√(7.4375)

x=0.75±√(7.4375)

x=3.48 or -1.98

WILL GIVE BRAINLIEST
The Coriolis Effect is the measurement of wind speed based on friction from mountains.

Question 2 options:
True
False

Answers

Answer:

false

Step-by-step explanation:

i said so

Answer:false

Step-by-step explanation:

because im smart

brainleist? or scam?

Find the value of b +9 when b= 72.
X

Answers

Answer:

8

Step-by-step explanation:

b ÷ 9 when b = 72

b ÷ 9 <== substitute 72 for b, and solve

72 ÷ 9 = 8

Hope this helps!

Answer:

Answer = 8

Step-by-step explanation:

first you write out the equation

next you substitute 72 for b

then you divide them to get your answer of 8

A bag of flour weighs 2.5 kilograms.
About how much does the bag weigh in pounds ?
Round to the nearest tenth
I'll give you 55 points

Answers

Answer:

5.5 pounds

Explanation:

weight in kg = 2.5 kilograms

conversion:

1 kg ↔ 2.205 pounds

solve:

2.5 kilograms = (2.5 * 2.205)2.5 kilograms = 5.511557 pounds2.5 kilograms = 5.5 pounds ( rounded to nearest tenth )

Answer:

5.5 pounds (nearest tenth)

Step-by-step explanation:

1 kilogram = 2.20462262 pounds

To determine how many pounds are in 2.5 kg, multiply by 2.5:

⇒ 2.5 kilograms = 2.20462262 × 2.5

                           = 5.5 pounds (nearest tenth)

Please help with this question!!!

Of all the apartments in an apartment building, 20 percent are single bedroom apartments and 30 percent of the single bedroom apartments have balconies. If 28 single-bedroom apartments do not have balconies how many apartments are there in this apartment building?

Answers

Answer:

  200

Step-by-step explanation:

Of the apartments in the building, 20% are singles and 70% of those do not have balconies.

That is, (0.20 × 0.70) = 0.14 of the building's apartments are singles without balconies. That is 28 apartments. If A is the number of apartments in the building, this means

  0.14A = 28

  A = 200 . . . . . divide by 0.14

There are 200 apartments in the building.

Name a pair of Alternate Exterior Angles

Answers

Answer: Z and M

or

N and Y

Step-by-step explanation:

Well alternate exterior angles are located on the outside of the two parallel lines, but on opposite sides of each other.

So you could say its N and Y or Z and M

A worksheet contains over 400 rows. The first 10 rows contain input data, and functions containing summary statistics are in the last 10 rows. What is the most efficient method to see the input area and summary statistics at the same time without having to scroll back and forth between sections?.

Answers

The most efficient method to see the input area and summary statistics is to use the split command.

What is statistics?

It should be noted that statistics is the branch of mathematics that deals with data collection, organization, and presentation.

In this case, the most efficient method to see the input area and summary statistics is to use the split command and adjust one pane to see the input section and another pane to see the summary statistics.

Learn more about statistics on:

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Can anyone help me please

Answers

Answer:

(D. 12/3

Step-by-step explanation:

pls tell me if im wrong

Pythagorean Theorem
(Rounding)
Find the length of the third side. If necessary, round to the nearest tenth.

SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER AND POINTS!!!!

IMAGE DOWN BELOW!!

Answers

the answer would be 3.5

the answer is 3.5

Step-by-step explanation:

c² ::: a² + b²

(4)² ::: (2)² + b²

16 ::: 4 + b²

16-4 ::: b²

/12 ::: b2

b ::: 3.5

Can someone give me the answer quickly

Answers

Answer:

I think the answer is 42%

I don't really know for sure though

Why does 2pi radians equal 360 degrees?

Answers

Answer:

So there are 2 pi radians in one revolution and since there are also 360 degrees in one revolution, this gives us a way to convert from radians to degrees. 2 pi radians equals 360 degrees or you can divide both sides by 2 and use pi radians equals 180 degrees.

what should be subtract from -1/7 to get 11/14? . please answer the question........................................ ..........​

Answers

[tex]-\dfrac 17 - x = \dfrac{11}{14}\\\\\implies x = -\dfrac 17 - \dfrac{11}{14}\\\\\implies x= -\dfrac{13}{14}\\\\\text{Hence,}~x = -\dfrac{13}{14}~ \text{should be subtracted.}[/tex]

Write the equation of a line of the table below.

Pls help will give brainliest

Answers

Answer:

slope: 5

y-intercept: 0

Equation: [tex]y=5x[/tex]

Step-by-step explanation:

First, lets find the slope.

Every time we have an increase in [tex]x[/tex], we have an increase in [tex]y[/tex].

To find that change, we will divide the changes in [tex]y[/tex] using two points.

I will be using the points [tex](1,5), (2,10)[/tex]

[tex]\frac{10-5}{2-1}[/tex]

[tex]=5/1[/tex]

[tex]=5[/tex]

Therefore, the slope is 5.

Next, lets find the y-intercept. The y-intercept is where the line goes through the y-axis.

We can go back 1 x-value (since when x = 1, y = 5)

Subtracting our slope (5) from the y-value for 1, we get:

[tex]y=0[/tex]

Therefore, the y-intercept is 0.

Finally, lets find the equation.

Linear equations are in the form [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept.

Plugging those values in we get: [tex]y=5x+0[/tex]

Which will be simplified down to [tex]y=5x[/tex]

#LearnWithBrainly

WILL GIVE BRAINLIEST !! I NEED HELP ASAP

In the figure, ABCD is a rhombus.BG and DCG are straight lines

Find CAD
Find ACG

Answers

Answer:

Below in bold.

Step-by-step explanation:

1) as ABCD is a rhombuc AC bisects < BAD and < BCD .

Therefore < CAD = 1/2 * 104 = 52 degrees.

2) < ACG  = < ADC +  < CAD  ( External angle of triangle theorem)

Therfore  < ACG = 76 + 52 = 128 degrees.

A mechanic works on the overhaul of a transmission. He starts at 8:25 AM and finishes
at 4:25 PM, and takes one hour off for lunch. At $18.75 per hour, find out how much the
mechanic earned to the nearest crent.

Answers

$56.25

8:25 - 4:25 = 4 hours

4 hours - 1 hour for lunch = 3 hours

$18.75 x 3 = $56.25

K is the midpoint of JL if JK =10x and KL = x + 9 what is KL

Answers

Answer:

Step-by-step explanation:

JL = JK + KL

JL = 10x + x + 9

JL = 11x + 9.

20
у
x
120
What is the answer?

Answers

Step-by-step explanation:

120° + 20° + x = 180° ( sum of interior angle. of triangle is 180°)

140° + x = 180°

x = 180° - 140°

x = 40°

Now

y + x = 180° ( supplementary angle)

y + 40° = 180°

y = 180° - 40°

y = 140°

The angle measure of y is 140°.

What is an angle measure?

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

Given:

The three angles of a triangle are 120°, 20° and x.

And we know,

the sum of the interior angle of the triangle is 180°.

120° + 20° + x = 180°

140° + x = 180°

x = 180° - 140°

angle measure of x = 40°

Now:

Here, x and y are supplementary angles.

Supplementary angles are two angles whose measures add up to 180°

y + x = 180°

y + 40° = 180°

y = 180° - 40°

y = 140°

Therefore, the value of y is 140°.

To learn more about the angle measure;

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Explain the transformation of the graph from f(x)=x^2 to g(x)=x^2-6

Answers

Answer: the graph is shifted 6 units down

Step-by-step explanation:


The vertices of a rectangle are W(1,2), X(4,2), 7(4, -3), and Z(1, -3). Find the perimeter of the
rectangle. Use words, numbers, or models to justify your answer.

Answers

Answer:

16

Step-by-step explanation:

We could use the distance formula to find the distance between the points in this problem, but when we look we see that the sides of the rectangle are parallel to the x and y-axis for each pair of sides. The first two points have a distance of 3 because 4-1=3. Since it is a rectangle, the opposite side will have the same length. For the sides perpendicular, we look at the points with the same x coordinate. Using (4,2) and (4,-3), we can calculate the length of the side by finding the distance by adding the absolute values of the y coordinate. 2+3=5. This means that the triangle has two sides with a length of 5 and two sides with a length of 3. Adding these together, 5+5+3+3 = 16.

Carl wants to earn money shoveling snow from driveway this winter. The average size of a driveway in his neighborhood is 240 ft. ² it take a squirrel 45 minutes to shovel an average size driveway with 4 inches of snow. Enter the minimum number of minutes it will take her to shovel a driveway with 4 inches of snow that has an area of 720 ft. ² if he shovels at this rate. 

Answers

Using proportions, it is found that it will take him at least 135 minutes to shovel the driveway at this rate.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, it takes 45 minutes to shovel 240 ft². How long does it take to showel 720 ft²? The rule of three is given by:

45 min - 240 ft²

n min - 720 ft²

Applying cross multiplication:

240n = 45 x 720

n = 45 x 720/240

n = 45 x 3

n = 135

It will take him at least 135 minutes to shovel the driveway at this rate.

More can be learned about proportions at https://brainly.com/question/24372153

Three friends make lemonade with different recipes. The table shows the ratio of lemon juice to the total amount of lemonade. Which friend makes lemonade with the strongest lemon flavor?

Answers

Answer:sorry i don't know this

Step-by-step explanation:

110% of 90 is what number a ?

? = 110 over 100
please help​

Answers

Answer:

90 is the orrect answer because I said so

Step-by-step explanation:

Answer:

The answer is a = 99

Step-by-step explanation:

We can solve this using ratios

First we set up the equation:

[tex]\frac{a}{90}= \frac{110}{100}[/tex]

Then cross-multiply:

[tex]100 * a = 90 * 110[/tex]

Simplify:

[tex]100 * a = 9,900[/tex]

Divide both sides by 100:

[tex]a = 99[/tex]

Ta-Da! The answer is a = 99

Hope this helps! :)

In a supermarket, small wedges of cheese each weighing 0.25kg are cut from tins of cheese that weighs 2.5kg. How many wedges can be cut from one tin of cheese? ( Its division)...

Answers

Answer:

10 wedges

Step-by-step explanation:

To find the number of wedges, the total weight should divided by weight of  one wedge.

[tex]\text{Number of Wedges = $2.5 \div 0.25$}\\[/tex]

                              [tex]= \dfrac{2.5*100}{0.25*100}\\\\\\=\dfrac{250}{25}\\\\\\= 10 \ \sf wedges[/tex]

NEED HELP ASAP
The equation 3c = 4s gives the relationship between c, the weight of clay, and s, the weight of sand in a mixture. There are 6.25 pounds of clay in the mixture. What is the weight of the sand?

A. 4.69 pounds
B. 8.88 pounds
C. 18.75 pounds
D. 75.00 pounds​

Answers

The weight of sand in the mixture when the weight of the clay in the mixture is 6.25 pounds is 4.69 pounds.

The equation can be represented as follows:

3c = 4s

How to find the variable in an equation?

3c = 4s

where

c = weight of the clay in the mixtures = weight of sand in the mixture

Hence,

3c = 4s

4s = 3c

let's make s the subject of the formula, since, we want to find s when c = 6.25 pounds

s = 3 / 4 c

s = 3 / 4 × 6.25

s = 18.75 / 4

s = 4.6875

s = 4.69 pounds

learn more on equation here: https://brainly.com/question/23669986

Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

do u still need help?

Answer:

44 286 ft²

Step-by-step explanation:

4 686.144+3 600+36 000

=44 286.144

please help!!
math work

Answers

Answer:I think it is the top one on the left

Step-by-step explanation:

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