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.

For the request of the client who wants his wedding photos to create an online album for his family and friends, the most suitable format would be JPG.

When we work with digital files in technological devices we can find different formats for our files, these formats include images, videos, audio, texts, among others.

Formats exist to differentiate files and specify which programs can open and modify these files. In the case of images, files are generally created in JPG, PNG or other formats.

Therefore, the most appropriate file to send these photos to the client would be JPG because they are not so heavy and have a good definition. In addition, what we must do is create a folder on a cloud storage page and share it with the client so that they have unlimited access to the photos.

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Answer:

[tex]1.76[/tex] days

Step-by-step explanation:

**Note this propably is not what you are looking for but it gets you the final answer.**

Given the eqaution [tex]y=9^{5x}[/tex]

Lets solve for x.

Step 1.

Rewirte the equation as [tex]y=a^{bx}[/tex]. Where [tex]a=9[/tex]  and [tex]b=5[/tex].

Step 2.

Take the natural logarithm of both sides. Then rewrite the left hand side using properties of exponents/logarithms.

[tex]ln(y)=b*x*ln(a)[/tex]

Step 3.

Divide both sides of the equation by [tex]b[/tex]

[tex]\frac{ln(y)}{b} =x*ln(a)[/tex]

Step 4.

Divide both sides of the equation by [tex]ln(a)[/tex]

[tex]\frac{ln(y)}{b*ln(a)} =x[/tex]

Now we have our equation to solve for the number of days.

Step 5.

Plug [tex]9[/tex] back in for [tex]a[/tex]  and [tex]5[/tex] back in for [tex]b[/tex].

[tex]\frac{ln(y)}{5*ln(9)} =x[/tex]

Step 6.

We are given 243 million for [tex]y[/tex].

Lets plug in 243 million.

[tex]\frac{ln(243,000,000)}{5*ln(9)} =x[/tex]

Step 7.

Solve for x.

[tex]x=1.7575419...[/tex]

Lets round to the hundreth's place.

[tex]x=1.76[/tex]

1.76 days

Answer:

The answer is 7.

Step-by-step explanation:

7 + 2 is 9.

9 x 3 =27

27 - 7 =20.

Since the original number is 7 then we add 7 to 20.

7 + 20 = 27.

So, the number he started with is 7.

Answer:

4 electric guitars and and 5 acoustic guitars were sold.

Step-by-step explanation:

Electric guitars:  [tex]x[/tex]

Acoustic guitars: [tex]y[/tex]

[tex]y + x = 9\\y(339) + x(479) = 3611\\[/tex]

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

[tex]y + x = 9\\339y + 479x = 3611[/tex]

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

[tex](y + x = 9)339\\(339y + 479x = 3611)1[/tex]

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

[tex]339y + 339x = 3051\\339y + 479x = 3611[/tex]

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

[tex]-140x = -560\\x = \frac{-560}{-140} \\x = 4[/tex]

Choose any of the two equations in the first step and substitute 4 for [tex]x[/tex].

[tex]y + 4 = 9\\y = 9 - 4\\y = 5[/tex]

Therefore, there are 4 electric guitars and and 5 acoustic guitars were sold.

Note: In the elimination method of simultaneous equations, (+) + (+) = (-); (+) + (-) = (+) and (-) + (+) = (+) the signs addition or subtraction.

Answer:

22.5%

Step-by-step explanation:

The total of people surveyed between 21-34 is 40 and the total number who prefer other or hate sports is 9 so the percent is 9/40 which is equal to  2.25. Multiply this number by 100 to get it as a percent and you have 22.5%

22.5% of the people between the ages of 21 and 34 prefer "Other/Hate Sports."

Percentage is a way of expressing a fraction or a portion of a whole as a value out of 100. It is denoted by the symbol "%". Percentages are used to represent proportions, ratios, or rates in a more easily understandable and comparable form.

To find the percentage of people between the ages of 21 and 34 who prefer other sports and/or hate sports, we need to calculate the proportion of the total respondents in that age group who have chosen "Other/Hate Sports."

The table shows that there are 9 people between the ages of 21 and 34 who prefer "Other/Hate Sports" out of a total of 40 respondents in that age group.

So, Percentage = (Number of people with the preference / Total number of respondents in the age group) x 100

= (9 / 40) x 100

= 22.5%

Therefore, 22.5% of the people between the ages of 21 and 34 prefer "Other/Hate Sports."

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Answer:

(-6,10)

Step-by-step explanation:

This is simple, you just subtract 8 from the x value, and add 4 to the y value.

Hope this helps

A=160 m

Hope it helps.

Do comment if you have any query.

- area: 160 m²

- Asked to find the area of the rectangular pool.

- Given with width of the pool is 10 metres and length is 16 metres.

- multiplication

- 10 * 16

- area: 160 m²

Additional ===========

Answer:

expression a and c

Step-by-step explanation:

A. 9x-3x-4 = 6x-4

C. 5x+x-4 = 6x-4

hope this helps

Answer:

Expression A and C

Step-by-step explanation:

When Expression A is simplified it is 6x - 4. And for Expression C you add 5x and x, and then it’s 6x - 4. That makes them the same expression. So your answer would be Expression A and C.

I hope it helps! Have a great day!

Muffin ^^

Answer:

3.125 cubic unit i guess

Answer:

3.125 unit cube is the answer i hope i helped u

Answer:

[tex]\huge\boxed{\sf b = 8.7 \ cm}[/tex]

Step-by-step explanation:

Given equation:

[tex]\displaystyle tan (30 \textdegree) = \frac{5}{b}[/tex]

We have to find b.

tan 30° = 0.6

[tex]\displaystyle 0.6 = \frac{5}{b} \\\\Multiply \ b \ to \ both \ sides \\\\0.6 \times b = 5 \\\\Divide \ 0.6 \ to \ both \ sides\\\\b = \frac{5}{0.6} \\\\b = 8.7 \ cm \\\\\rule[225]{225}{2}[/tex]

No

To classify the lines as "parallel", the distance between both x-intercepts must be equivalent to the distance between both y-intercepts. In this case, the lines are not parallel because the distance between both y-intercepts is different than the distance of both x-intercepts.

Since 4 ≠ 5, the lines are not parallel.

Answer:

No, the lines are not parallel.

Step-by-step explanation:

Parallel lines have the same slope.

Therefore, find the slopes of both lines and compare.  

Slope formula

[tex]\sf slope=\dfrac{change\:in\:y}{change\:in\:x}[/tex]

Line AB

A = (0, 6)

B = (8, 0)

[tex]\implies \sf slope=\dfrac{0-6}{8-0}=-\dfrac34[/tex]

Line CD

C = (-3, 4)

D = (0, 2)

[tex]\implies \sf slope=\dfrac{2-4}{0-(-3)}=-\dfrac23[/tex]

As the slopes of the 2 lines are different, the lines are not parallel.

Answer:

1.9

Step by step answer

step1 finding the mean

(7+4+7+7+2+10+12+8+7+5)/10 = 6.9

step2 Difference between each data

Difference between 7 and 6.9 is 0.1

Difference between 4 and 6.9 is 2.9

Difference between 7 and 6.9 is 0.1

Difference between 7 and 6.9 is 0.1

Difference between 2 and 6.9 is 4.9

Difference between 10 and 6.9 is 3.1

Difference between 12 and 6.9 is 5.1

Difference between 8 and 6.9 is 1.1

Difference between 7 and 6.9 is 0.1

Difference between 5 and 6.9 is 1.9

step3 add all the Difference

0.1 + 2.9+0.1+0.1+4.9+3.1+5.1+1.1+1.9 = 19.4

step4 divde it by n

19.4/10 = 1.9

so the answer is 1.9

Answer:

-2(x-5)=-2x-10 = -20

or

-2(x-5)=-2x-10 = 20

Answer:

if you are trying to find the length of the other three sides then

40 = 3x + 7

Step-by-step explanation:

$60

hope it helps...!!!

Answer:

D. 3 1/12

Explanation:

[tex]\rightarrow \sf 4\dfrac{1}{3} -1\dfrac{1}{4}[/tex]

convert into improper fraction

[tex]\rightarrow \sf \dfrac{13}{3} -\dfrac{5}{4}[/tex]

make the denominators same. 12 is the common factor of both 3 and 4

[tex]\rightarrow \sf \dfrac{13(4)}{12} -\dfrac{5(3)}{12}[/tex]

simplify

[tex]\rightarrow \sf \dfrac{52}{12} -\dfrac{15}{12}[/tex]

join both fraction

[tex]\rightarrow \sf \dfrac{52-15}{12}[/tex]

simplify

[tex]\rightarrow \sf \dfrac{37}{12}[/tex]

convert into mixed fraction

[tex]\rightarrow \sf 3\dfrac{1}{12}[/tex]

Answer:

1 over 20

Step-by-step explanation:

Given that:

a spinner and 4 cards

A Spinner ⇒ 5 equal sectors;Color: Blue,Purple,Yellow,Red,Green

Arrow point at purple

Four cards ⇒ Color : Red,Yellow,Blue,Pink

Jane spins the spinner & selects card without looking.

To Find - Probability spinner stops at purple & select pink card.

Solve:

Multiply 4 (the number of cards) with 5 (The number of equal sectors)

[tex]\frac{1}{5}\times\frac{1}{4}=\frac{1}{20}[/tex]          {1 × 1 = 1}    {5×4=20}

~lenvy~

Answer:

1 over 20

Step-by-step explanation:

Given the following:

1 spinner and 4 cards

A Spinner which has 5 equal sectors;Color: Green, Blue,Purple,Yellow,Red.

{Arrow point at purple}

Four cards ⇒ which color are Red,Yellow,Blue,Pink

Jane spins the spinner & selects card without looking.

To Find →  Probability spinner stops at purple & select pink card.

Since, purple and pink only has one in each of Spinner/card

Thus,

Spinner (5 equal sectors - 1/5}

Card {4 cards - 1/4}

1/4 × 1/5 = 1/20

Hence, probability spinner stops at purple & select pink card is [A] 1/20

[RevyBreeze]

Answer:

C

Step-by-step explanation:

Answer:

13 and 14.

Step-by-step explanation:

The square root of 180 is 13.416407865. Therefore, the two integers (or whole numbers) that it falls in between is 13 and 14.

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I hope this helps

-No one

Answer:

70 cubic feel. 3. Abox of oat cereal measures 24 centimeters long by 5 centimeters wide by 25 centimeters high.

Step-by-step explanation:

70 cubic feel. 3. Abox of oat cereal measures 24 centimeters long by 5 centimeters wide by 25 centimeters high.

Answer:15 boxes with 4 left over have a great day :)

Step-by-step explanation:

Answer:

7 units

Explanation :

Check out my work that I’ve attached

Let me know if you have any questions!

Have a nice rest of your day :)

Answer:

First find the inner angle:

using sine rule:

[tex]\sf sin(x)= \dfrac{opposite}{hypotensue}[/tex]

[tex]\hookrightarrow \sf sin(59)= \dfrac{400}{x}[/tex]

[tex]\hookrightarrow \sf x = \dfrac{400}{sin(59)}[/tex]

[tex]\hookrightarrow \sf x = 466.6533[/tex]

[tex]\hookrightarrow \sf x = 466.7[/tex]   ( rounded to nearest tenth )

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

using tan rule:

[tex]\sf tan(x)= \dfrac{opposite}{adjacent}[/tex]

[tex]\hookrightarrow \sf tan(59)= \dfrac{400}{y}[/tex]

[tex]\hookrightarrow \sf y= \dfrac{400}{ tan(59)}[/tex]

[tex]\hookrightarrow \sf y= 240.344[/tex]

[tex]\hookrightarrow \sf y= 240.3[/tex]

Answer:

y = 466.7 ft (nearest tenth)

Step-by-step explanation:

Using the Alternate Interior Angle Theorem
the angle inside the triangle that is opposite the side [tex]y[/tex] is 31°

Using the cos trig ratio:

[tex]\sf cos(\theta)=\dfrac{A}{H}[/tex]

where:

Given:

Substitute given values and solve for x:

[tex]\sf \implies cos(31)=\dfrac{400}{x}[/tex]

[tex]\sf \implies x=\dfrac{400}{cos(31)}[/tex]

[tex]\sf \implies x=466.7\:ft\:(nearest\:tenth)[/tex]

Answer:

$0.318 per minute

Step-by-step explanation:

3.18/10 = 0.318

3.18 divided by 10 equals 0.318

Answer:

3.18 cents per minute

Step-by-step explanation:

318 cents / 10 minutes = 3.18 cents per minute

Answer:

[tex]\frac{1}{28}[/tex]

__________________________________________________________

When doing problems like this where you have to divide fractions by whole numbers, you can try skip counting or multiplying.

So:

[tex]\frac{1/4}{7} = 28[/tex]because it skip counts 28 times.

28 as a fraction is [tex]\frac{28}{1}[/tex], which we have to flip to make [tex]\frac{1}{28}[/tex] as our answer.

__________________________________________________________

Ask in the comments box.

Answer:

1/40 as a decimal is 0.025.

Answer:

[A] 20%

[B] 400%

Step-by-step explanation:

Part A:

To Find: Percentage

= Price in 1985/price in 2003

Thus,

$62000×100%=6200000÷310000=20%

Part B:

To FInd: Percentage increase

= (Price in 2003-price in 1985)/price in 1985

Thus,

$248000×100=$24800000÷62000=400%

[RevyBreeze]

Answer:

7 to 49

Step-by-step explanation:

The patterns here are clear, a number times 7. 7 x 7 is 49 so this could be an equation to submit.

Answer:

k = 7h.

Step-by-step explanation:

Each value of k is 7 times the value of h.

So k = 7h.

Answer:

The ordered pair (1, 9) represents the unit rate as cost per pair of pants.

and

The ordered pair (0,0) represents the fact that zero pairs of pants costs $0.

Step-by-step explanation:

hope this helped