Please help solve this

Please Help Solve This

Answers

Answer 1

Answer:

x = [tex]\frac{5}{12}[/tex]

Answer 2

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Related Questions

A tent company makes one type of tent that is shaped like a triangular prism.
The approximate dimensions of the tent are shown below.
Based on these dimensions, how much fabric is needed to make one tent,
including a floor?​

Answers

Given:

The base of the triangle = 6 ft

The height of the triangle = 5 ft

The other two side of the triangle = 5.5 ft and 5.5 ft

The height of the prism = 9 ft

To find the measurement of the fabric to make the tent.

We need to find the surface area of the triangular prism.

Formula

The surface area of the triangular prism is

[tex]SA = bh+(a+b+c)H[/tex]

where, b be the base of the triangle

h be the height of the triangle

a and c be other two sides of the triangle

H be the height of the prism

Now,

Putting,

b = 6, h = 5, a = 5.5, c = 5.5 and H = 9 we get,

[tex]SA = (6)(5)+(6+5.5+5.5)(9)[/tex] sq ft

or, [tex]SA = 30+153[/tex] sq ft

or, [tex]SA = 183[/tex] sq ft

Hence,

Based on the given dimension 183 sq ft fabric is needed to make the tent.

Answer:

183 sq. ft. fabric is needed to make the tent.

Step-by-step explanation:

The base of the triangle = 6 ft

The height of the triangle = 5 ft

The other two side of the triangle = 5.5 ft and 5.5 ft

The height of the prism = 9 ft

To find the measurement of the fabric to make the tent.

We need to find the surface area of the triangular prism.

a=1/2bh   1/2(6)(5)*2=30

a=(6*5)+2(9*5.5)+(9*6)=183 sq. ft.

30+99+54=183 square ft.

Read the passage from "The Walrus and the Carpenter."
The sun was shining on the sea,
Shining with all his might:
He did his very best to make
The billows smooth and bright —
And this was odd, because it was
The middle of the night.

Which of the elements of poetry best contribute to the sound of the poem?



A.) The sound creates personification.

B.) The sound contributes to the poem's theme.

C.) The sound makes the poem sillier.

D.) The sound makes the poem more formal.

Answers

Answer: i think the awnser is c

Step-by-step explanation: hope it helps

Answer:

the answer is The sound makes the poem more formal AKA C I hope this helps.

What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (4, 1)?
y − 1 = −2(x − 4)
y – 1 = Negative one-half(x – 4)
y – 1 = One-half(x – 4)
y − 1 = 2(x − 4)

Answers

Given:

The line parallel to the given line containing the points (-3,3) and (-2,1).

Also, the parallel line passes through the point (4,1).

We need to determine the equation of the line in slope - intercept form.

Slope:

Since, the two lines are parallel, then their slopes are equal.

Thus, the slope of the parallel line can be determined using the formula,

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Substituting the points (-3,3) and (-2,1), we get;

[tex]m=\frac{1-3}{-2+3}[/tex]

[tex]m=\frac{-2}{1}[/tex]

[tex]m=-2[/tex]

Thus, the slope of the line is [tex]m=-2[/tex]

Equation of the line:

The equation of the line can be determined using the formula,

[tex]y-y_1=m(x-x_1)[/tex]

Since, the line passes through the point (4,1), let us substitute the point (4,1) in the above formula, we have;

[tex]y-1=-2(x-4)[/tex]

Thus, the equation of the line is [tex]y-1=-2(x-4)[/tex]

Hence, Option a is the correct answer.

Final answer:

To find the equation in point-slope form of a line parallel to the given line and passing through a point, we use the fact that parallel lines have the same slope.

Explanation:

To find the equation in point-slope form of a line parallel to the given line and passing through the point (4, 1), we need to use the fact that parallel lines have the same slope.

The given line has an equation in point-slope form as y - 1 = -2(x - 4). The slope of this line, which is -2, will be the slope of the parallel line we are looking for.

Using the point-slope form equation y - y1 = m(x - x1), and substituting the values y1 = 1, x1 = 4, and m = -2, we can write the equation as y - 1 = -2(x - 4).

Please help don’t understand

Answers

Answer:

D

Step-by-step explanation:

Find the rational zeros of the polynomial function. Then enter the function in factored form.
h(x)=6x^3-11x²-3x + 2.
The zeros are x __,__,__

Answers

Answer:

The zeros are -1/2, 1/3 and 2.

The factors are (x - 2)(3x - 1)(2x + 1)

Step-by-step explanation:

h(x)= 6x^3 - 11x² - 3x + 2 = 0

As the last term is 2 we try  to see if +/-1 or +/- 2 are zeros

f(1) = -6, f(-1) = -18  so  they are not zeros.

f(2) = 6*8 - 11*4 - 3(2) + 2

= 48 - 44 - 6 + 2

=  4 - 6 + 2

= 0.  

So x = 2 is a zero and x - 2 is a factor.

Dividing by x - 2:

x - 2 ) 6x^3 - 11x² - 3x + 2 ( 6x^2 + x - 1 <--------Quotient

         6x^3  - 12x^2

                      x^2 - 3x

                      x^2 - 2x

                             - x+ 2

                             -x + 2

Factoring the quotient:

6x^2 + x - 1

= (3x - 1)(2x + 1) =  0

x = 1/3, x = -1/2..

Use the data to find the interquartile range.

Number of Points Scored at Ten Basketball Games
64 38 50 71 60 58 47 55 70 45

Answers

Answer:

17

Step-by-step explanation:

The Interquartile range is the difference between the Quartile 1 and 3. Those quartiles are the median of the left and right side.

Ex: 1, 2, 3, 4, 5

Median = 3, so quartile 1 = median of left side of 3 and quartile 3 = median of right side of 3

First we should organize the data from least to greatest.

38 < 45 < 47 < 50 < 55 < 58 < 60 < 64 < 70 < 71

The median is 56.5.

Quartile 1 = 47

Quartile 3 = 64

64-47 = 17

Hope this helps!

Answer:

Q1 is 38,45,47,50,55

Q2 is 58,60,64,70,71

middle numbers are 47 and 64

64-47=17

Step-by-step explanation:

What is the minimum volume of hot air needed to lift a hot air balloon carrying 800kg

Answers

Answer:

The minimum volume of hot air needed to lift a hot air balloon carrying 800kg

Is 653.1m³

Step-by-step explanation:

This problem bothers on the density of materials in this problem air

Given data

Volume of air V=?

Mass of air m= 800kg

From tables the density of air is

ρ =1.225 kg/m3

Now to solve for the volume we have

ρ=m/v

v=m/ρ

v=800/1.225

Volume v = 653.1m³

if an arc of 60 degrees has an arc length of 50pi what is the circumference

Answers

Answer: 300[tex]\pi[/tex]

Step-by-step explanation:

Let's use the arc-length formula to solve this problem, and plug in the values that we have. Arc length is 50[tex]\pi[/tex] and the arc is 60°

Arc-length = [tex]2\pi r (\frac{x}{360})[/tex]

[tex]50\pi =2\pi r(\frac{60}{360})[/tex]

Cancel the [tex]\pi[/tex] and simplify the fraction.

[tex]50 = 2r(\frac{1}{6})[/tex]

Simplify further.

[tex]50 = r(\frac{1}{3} )[/tex]

Pass the 3 to the other side.

[tex]150=r[/tex]

So our radius is 150.

To find the circumference, we use the formula [tex]2\pi r[/tex]

Plug in r.

[tex]2\pi (150) = 300\pi[/tex]

Final answer:

To find the full circumference of a circle, multiply the given arc length for 60 degrees (50π) by 6, yielding a total circumference of 300π.

Explanation:

To find the circumference of a circle when given the arc length of a particular section, we can use the relationship between the arc's degree measure and the circle's total circumference. Since the arc length of 60 degrees is 50π, we recognize that 60 degrees is one-sixth of a circle's full 360 degrees. Therefore, to find the full circumference of the circle, we multiply the arc length by 6 (because 360° / 60° = 6).

50π times 6 equals 300π, which is the circumference of the circle. This process uses the fact that the circumference of the circle is proportionate to the circle's rotation angle, which completes at 360°, corresponding to an angle of 2π radians.

Which sets can be represented using the Venn diagram below?


Answers

Answer:

There is no Venn Diagram!

Step-by-step explanation:

There is no answer, where is the Venn Diagram?

A= {animals}; B= {mammals} or C

Steeze Co. makes snowboards and uses the total cost approach in setting product prices. Its costs for producing 10,500 units follow. The company targets a profit of $315,000 on this product.

Answers

Final answer:

The price per unit can be determined by adding the total cost of production to the target profit and then dividing by the quantity produced. This assumes the market will tolerate this price.

Explanation:

In order to determine pricing in Steeze Co., using the total cost approach, you would need to add the total cost of producing the units to the target profit and then divide by the quantity to get the price per unit. Here's the step-by-step calculation:

Add the total cost of producing 10,500 units to the target profit: Total Costs + Target Profit = Total Cost to RecoverCalculate the unit cost: Total Cost to Recover / Quantity of Units Produced = Price Per UnitThe result provides the price point Steeze Co. needs to set to meet its profit target given its production costs and quantity. Note: This assumes the market will tolerate this price; market factors and consumer willingness to pay also need to be considered.

Learn more about Cost-Based Pricing here:

https://brainly.com/question/30782159

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Which equation represents a line with a slope of zero?
y = 2 x
y = negative one-half x + one-half
y = 4
x = negative 5 pPLS URRY

Answers

Answer:

y = 4

Step-by-step explanation:

This is a never changing equation that sets y as 4 no matter what, so it's a horizontal line, a slope of zero.

Elena is trying to draw a triangle with side lengths 4 inches, 3 inches, and 5 inches.

She uses her ruler to draw a 4 inch line segment .

She uses her compass to draw a circle around point  with radius 3 inches

She draws another circle, around point  with radius 5 inches.


Answers

Elena should put a point where the two circles intersect and draw line segments connecting that point to points A and B to finish her triangle.

ΔABC and ΔABD are the required Triangle.

What is Construction?

Geometric constructions are precise drawings of geometrical shapes, angles, and lines. We will need a pencil, a ruler (or other straight edge), and compasses to do this. Perpendicular bisector and angle bisector are the fundamental constructions.

We have,

Elena is trying to draw a triangle with side lengths 4 inches, 3 inches, and 5 inches.

Elena should find the intersection of two circles at point C and point D.

Connect point B and C, A and C or connect them.

ΔABC and ΔABD are the required Triangle.

Learn more about Construction here:

https://brainly.com/question/19029964

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A box of candy contains 24 chocolates that are all the same shape, size, and color. Ten of the chocolates have vanilla cream centers, six have chocolate cream centers, and the
rest have caramel centers. What is the probability of randomly selecting a chocolate with a caramel center?

A. 1/4

B. 1/3

C. 5/12

D. 2/3

Answers

Answer:

b

Step-by-step explanation:

Answer:

B. 1/3

Step-by-step explanation:

We know that:

- There are 24 total chocolates

- 10 + 6 of them do not have caramel centers, the rest of them do.

The first step is to evaluate how many chocolates have caramel centers. To do this, add 10 and 6.

10 + 6 = 16

Now, subtract that number from 24 to get the amount of chocolates with caramel centers.

24 - 16 = 8

8 of the chocolates have caramel centers. This means that the ratio of caramel centered chocolates to all chocolates is 8:24, or 8 out of 24.

Since the question is looking for a fraction answer, convert the ratio to a fraction. 8:24 becomes 8/24.

Now, simplify the fraction. 8/24 becomes 1/3.

The final answer is 1/3.

A restaurant needs four chairs for each table. Let c represent the number of chairs it needs if there are t tables. Which variable is dependent ? Which is independent? Write an equation to represent the relationship, (whoever is the first and has the correct answer gets 100 points and ill give you brainliest. PLEASE I NEED THIS TODAY)

Answers

Answer:

DV = numbers of chairs needed (c)

IV = number of tables (t)

IV × 4 = DV     OR    t × 4 = c

Step-by-step explanation:

DV dependent variable

IV independent variable

brainliest please?

The dependent variable means that it depends on how the independent variable is being manipulated. The independent variable is a variable that represents an amount that is being manipulated.

The dependent variable is "c" because it depends on the number of chairs it needs if there are t tables.

The independent variable is "t" because it manipulates the amount chair there are by the amount of tables there are.

Equation: 4t = c

4t represents the amount of chairs there are for the amount of tables there are. c represents the total amount of chairs.

Best of Luck!

Mr. Fletcher is looking at a 0.5 millimeter section of plant under a microscope.
The plant section appears enlarged by a scale factor of 10 when looking through the
microscope. He uses the camera on the microscope to photograph what is seen through
the lenses at a scale factor of 20. What is the length of the section of plant in the
photograph?​

Answers

Answer:

10?

Step-by-step explanation:

20 • .5= 10

Solve the equation if 0 degrees<=x<=360 degrees.
cosx= -1/2

Answers

Answer:

Step-by-step explanation:

hello :

cosx= -1/2    0°≤x≤360°

x = 120°

x=240°

Hakeem is on a tour bus in Paris with his family he sees l'arc de triomphe at an angle of 34°. if the Arc is 162 feet tall, how far away is the bus? round to the nearest tenth.
a. 134.4 ft
b. 90.6 ft
c. 240.2 ft
d. 109.3 ft

Answers

Answer:

Side y = 109. 3

Step-by-step explanation:

Step 1 The two sides we are using are Opposite (y)

and Adjacent (162).

Step 2 SOHCAHTOA tells us to use Tangent.

Step 3 Put our values into the tangent function:

tan 34° = Opposite/Adjacent

= y/162

Step 4 Solve:

Start with: tan 34° = y/162

Swap: y/162 = tan 34°

Multiply both sides by 162: y = 162 tan 34°

y = 109.27

 y = 109.27 (to 2 decimal places)

Side y = 109. 3

Maria collected r rocks.
​Javier collected twice as many rocks as Maria and Pablo collected 5 less than Javier.

Answers

Answer:

2r-5

Step-by-step explanation:

Answer:

2r-5

Step-by-step explanation:

Explain how you find the median of a set of date that has an even number of data points.

Answers

Answer:

find the average of the 2 numbers in the direct middle.

Step-by-step explanation:

1,2,4,4,4,4,6,6,6,6,6,6

4,6

4+6=10

10/2=

=5

THIS WILL BE 10 POINTS PER Q, SO IF YOU COULD HELP ANSWER THESE ALL, I WOULD LOVE YOU FOREVER :')
1) A bedroom is 10ft by 12f with 8ft high walls
How much would it cost to put wallpaper in this room?
Choices: A) 338.56, B) 438.56, or C) 538.56

2) A kitchen is 12ft by 14ft with 10ft high walls
How much would it cost to put vinyl flooring in this room?
Choices: A) 1,478.40, B) 1,878.20, or C) 1,678.40

3) A bedroom is 10ft by 12ft with 8ft high walls
How much would it cost to put padding and carpet in this room?
Choices: A) 2,295.60, B) 2,095.60, or C) 2,495.60

4) A kitchen is 12ft by 14ft with 10ft high walls
How much would it cost to put wallpaper in this room?
Choices: A) 795.60, B) 895.60, or C) 995.60

Answers

1. C. 538.56

2. A. $1478.40

3. A. $2295.60

4.A.  $795.60

Please help ASAP this is very important
And please hurry

Answers

It’s m djdjdjjdjdjdjdjdjdjddjd
It’s C hope that helps !!!

What is the total surface area
A.640
B.264
C.320
D.525

Answers

Answer:

B. 264

Step-by-step explanation:

Although the figure may look odd, This is just a square pyramid on it's side.

So, to find the surface area, we need to find the area of the base and the area of the faces and add them together.

To find the area of the base:

Since the base is a square, all we have to do is multiply 8 by itself.

8 * 8 = 64

The area of the base is 12.5 in^2

To find the area of the faces:

Since the faces are triangles, we have to multiply the length by the height and divide by 2.

8 * 12.5 = 100

100/2 = 50

The area of one face is 50 in^2

To find the surface area:

Add the area of the base to the area of all 4 sides.

64 + 4(50)

64 + 200 = 264

The surface area of the pyramid is B. 264 in.^2

The answer is B hope this helps

What is the area of the triangle?
6 ft
b=3.6 ft
h=4.8 ft

A=8.64 ft?
B=10.8 ft
C=14.4ft?
D=17.28 ft?

Answers

The right answer is of option A.

Look at the attached picture

Hope it will help u..

Answer:

A = 8.64ft

Step-by-step explanation:

Use the triangle formula. Do:

A = hb/2 (A = area, h = height, b = base) after using this formula you should end up with 8.64ft

WHOEVER FINISHES FIRST I WILL MARK AS BRAINLIEST!!!!

Which number is equivalent to 6%? Select all that apply.
A. 6.0
B. 0.06
C. 0.6
D. 6/100
E. 3/50

Answers

Answer:

B. 0.06

D. 6/100

E. 3/50

A wholesaler sells rolls of fruit snacks in two sizes of bags. The table shows the number of rolls that come in each bag. Write an expression that could be used to determine the number of rolls in 3 large bags and 2 small bags. Then find the number of rolls.

Answers

Answer:

3 × 10 = 30 2 ×5 = 10

Step-by-step explanation:

30 + 10 = 40 rolls

The histograms below show the heights (in meters) of the tallest buildings in China and the United States.
Which pieces of information can be gathered from these histograms?
Choose all answers that apply:
Choose all answers that apply:

(Choice A)
A
The United States has the tallest building of these two countries.

(Choice B)
B
China has more buildings over 390390390 meters tall.

(Choice C)
C
None of the above

Answers

Final answer:

Information on the number of tall buildings and their heights in China and the United States can be interpreted from the histograms, with specific focus on the tallest buildings and the number surpassing the 390-meter mark.

Explanation:

From the provided histograms comparing the heights of the tallest buildings in China and the United States, several pieces of information can be gathered. If the histograms indicate that the tallest bar on the chart for China is over the 390-meter mark and more numerous compared to the United States' histogram, then Choice B would be correct, indicating that China has more buildings over 390 meters tall. To verify Choice A, we would need to look at the highest point on both histograms; if the highest bar on the U.S. histogram extends further than the Chinese one, then it would mean the United States has the tallest building of the two. Without seeing the histograms, these judgments are based on typical interpretations of histogram data.

When considering data on tall buildings such as the number of stories and their height, constructing a histogram can help illustrate the frequency distribution of these heights. For example, using the rule of thumb that one story is approximately equal to the height of two adult humans, it is possible to establish some basic estimates for building heights. However, for detailed statistical analysis, including the identification of linear relationships or outliers, the data would need a closer examination, possibly using a least-squares or best-fit line.

The circumference of a hubcap of a tire is 81.58 centimeters. Find the area of this hubcap

Answers

Answer:

Step-by-step explanation:

Answer:

About 530cm²

Step-by-step explanation:

C=2×pi×radius

81.58=2×3.14×radius

81.58=6.28r

81.58÷6.28=6.28r÷6.28

About 12.99cm is radius.

A=pi×radius²

A=3.14×12.99²

A=3.14×168.7401

A=529.843914

Area is about 530cm²

Four times a number added to 3 times a larger number is 31. Seven subtracted from the larger number is equal to twice the smaller number. Let x represent the smaller number and y represent the larger number. Which equations represent this situation?
A) y = -4/3 x + 31.
y = 2 x + 7.

B) y = -4/3 x + 31/3
y = 2 x + 7.

C) y = -4/3 x + 31.
y = -2 x + 7.

D) y = -4/3 x + 31/3
y = -2 x + 7.

Answers

Answer:

B) y = -4/3 x + 31/3

y = 2 x + 7

Step-by-step explanation:

The equations above match the description given about them.

If this answer is correct, please make me Brainliest!

Find the value of X.

Answers

Answer:

x=37

Step-by-step explanation:

We know that the angles in a triangle must add to 180 degrees

So, the three angles: x, 3x-5 and x must be equal to 180

x+3x-5+x=180

Combine like terms

x+3x+x-5=180

5x-5=180

Add 5 to both sides

5x=185

Divide both sides by 5

x=37

Do 3x-5+x+x=180 since all triangles add up to 180 degrees
Then 5x+5=180
Subtract 5 which give you 5x=175
Divide by 5
And your answer is 35 degrees
Then 3x-5+35=180
3x+30=180
Add the 30 to both sides
And divide by 3 on both sides
The other x is 60
X=60,x=35
Hope this helped

You are choosing between two health clubs. Club A offers membership for a fee of $28 plus a monthly fee of $24. Club B offers membership for a fee of $35 plus a monthly fee of $17. After how many months will the total cost of health club A be at least the total cost for Club B

Answers

Answer:

The cost will be the same after 1 month

Step-by-step explanation:

Step 1: set up the equation

club A= 28x+24  club B= 35x+17

club A=club B: 28x+24=35x+17

Step 2: Get rid of the smallest X

28x+24=35x+17

-28         -28

24=7x+17

Step 3: Get rid of the constant next to the variable to isolate the variable

24=7x+17

-17       -17  

7=7x

Step 4: Inverse operation to remove variable

7÷7x=7x÷7x

1=1

I hope this helped, im not too good at explaining but im positive the solution is correct.

Answer:

With $35, a member is paying 100%.

Since the reduction is 5%, that means his is paying now 95% of $35,

that means $35 x 0.95 = $33.25, So the decrease in fees is 35-33.25 = $1.75

Another method: the reduction was 5% on the $35 or 5% x 35 = 0.05x35=$1.75

Step-by-step explanation:

Other Questions
The following price quotations are for exchange-listed options on Primo Corporation common stock. Company Strike Expiration Call Put Primo 61.12 55 Feb 7.25 0.48 With transaction costs ignored, how much would a buyer have to pay for one call option contract. Assume each contract is for 100 shares. How does the excerpt reveal character development?Claudius exhibits sincere mourning for his friend Polonius.Claudius exhibits sensitivity toward Ophelia and regret for his actions.Claudius shows his resolve to help Ophelia by suggesting medical attention.Claudius shows his regret for previous behavior by seeking forgiveness. What statement best describes the effect of alcohol on the human body?Alcohol is safe to drink while taking antibiotics or other prescription drugs.Alcohol speeds up the heart rate and breathing rate.Alcohol slows down the reproduction of white blood cells.O Alcohol slows the central nervous system but does not impact the liver or kidneys. During a particular week, the art museum had 1,600 visitors, and that was 40% of the total number of visitors for the month. How many total visitors did the art museum have that month? Ray is a shareholder of Small Biz Company (SBC). When the directors fail to undertake an action to re-dress a wrong suffered by SBC, Ray files a suit on the firms behalf. Refer to Fact Pattern 20-1. Rays suit is a shareholders:_______.a. duty-of-care suit. b. duty-of-loyalty suit. c. business-judgment rule suit. d. derivative suit. An employee has a starting salary of $20,000 and can choose from two salary options:Option 1: A salary increase by 5% each year.Option 2: A guaranteed increase of $1,000 each year.i. Which option is initially more beneficial?ii. Which option is more beneficial after 10 years of employment?iii. Explain your reasoning Northwestern Bells stocks a certain switch connector at its central warehouse for supplying field service offices. The yearly demand for these connectors is 38,948 units. Northwestern estimates its annual holding cost for this item to be $25 per unit per year. The cost to place and process an order from the supplier is $4.26. The company operates 300 days per year, and the lead time to receive an order from the supplier is 2 working days. What is the economic order quantity? Which type of transformation would move figure 1 ontofigure 2?translationreflection,rotationdilation Here are some sentences about families and relationships.For each question, complete the second sentence so that it means the same as the first.Use no more than three words.(1) My brother and I played a lot of football in our childhood. My brother and I .. play a lot of football in our childhood.(2) I had finished my homework when my sister arrived. I had finished my homework by .. my sister arrived. (3)My parents bought a house before I was born. My parents .. a house by the time I was born. If x = 10, what is the value of 5(x - 3)? A. 7B. 47 C. 35D. 65 A 3.0-F capacitor charged to 40 V and a 5.0-F capacitor charged to 18 V are connected to each other, with the positive plate of each connected to the negative plate of the other. What is the final charge on the 3.0-F capacitor? round your answer to the nearest hundredth In the countercurrent exchange system of fish gills, blood and water flow in opposite directions. blood flow in the gills reverses direction with every heartbeat. blood and water are separated by a thick polysaccharide barrier. blood and water flow in the same direction. Summarize the relationship between individual speakers and language change Yo_____________comer vegetales y frutas (preferir) Suppose you are organizing a party for a large group of your friends. Your friends are pretty opinionated, though, and you don't want to invite two friends if they don't like each other. So you have asked each of your friends to give you an \enemies" list, which identi es all the other people among your friends that they dislike and for whom they know the feeling is mutual.Your goal is to invite the largest set of friends possible such that no pair of invited friends dislike each other. To solve this problem quickly, one of your relatives (who is not one of your friends) has offered a simple greedy strategy, where you would repeatedly invite the person with the fewest number of enemies from among your friends who is not an enemy of someone you have already invited, until there is no one left who can be invited. Show that your relatives greedy algorithm may not always result in the maximum number of friends being invited to your party. Solve the system of equations algebraically.*If necessary, write your answers as fractions in simplest form.y = x + 2y = -3x Write the definitions of two classes Day and Night. Both classes have no constructors, methods or instance variables. Note: For this exercise, please do not declare your classes using the public visibility modifier. What is the measure of angle DEG on circle O? Please help! Picture included! An air-standard cycle with constant specific heats at room temperature is executed in a closed system with 0.003 kg of air and consists of the following three processes: 12 v = Constant heat addition from 95 kPa and 17C to 380 kPa 23 Isentropic expansion to 95 kPa 31 P = Constant heat rejection to initial state The properties of air at room temperature are cp = 1.005 kJ/kgK, cv = 0.718 kJ/kgK, and k = 1.4a) Show cycle on P-v and T-s diagrams b) Calculate net work per cycle in kJ c) Determine thermal efficiency