make a question similar to the one below:
for example:
Solve this quadratic equation: x^2 = 81

and then solve it and explain how you did it.

Answers

Answer 1

Answer:

two solutions : 9   ; -9

Step-by-step explanation:

x²=81

means : x² - 81 =0   but 81 = 9²

use identity ; a² - b² = (a-b)(a+b)

x² -9² = 0     : (x-9)(x+9)=0

x-9=0 or x+9 = 0

x =9 or x = -9


Related Questions

Which of the following describes the transformation of g (x) = 3 (2) Superscript negative x Baseline + 2 from the parent function f (x) = 2 Superscript x?
reflect across the x-axis, stretch the graph vertically by a factor of 3, shift 2 units up
reflect across the y-axis, stretch the graph vertically by a factor of 2, shift 3 units up
reflect across the x-axis, stretch the graph vertically by a factor of 2, shift 3 units up
reflect across the y-axis, stretch the graph vertically by a factor of 3, shift 2 units up

Answers

Option d: reflect across the y-axis, stretch the graph vertically by a factor of 3, shift 2 units up.

Step-by-step explanation:

The parent function is [tex]f(x)=2^{x}[/tex]

The transformation function is [tex]g(x)=3(2)^{-x} +2[/tex]

In the transformed function, the function is added +2, which shifts the graph by 2 units up.

Also, the function is multiplied by 3, which stretches the function [tex]f(x)=2^{x}[/tex]  vertically by a factor of 3 units.

The variable x is multiplied by -1, such that the function reflects across y-axis.

Thus, the correct answer is option d.

The graph is attached below which shows the parent function and the transformed function.

The transformation function is reflect across the y-axis, stretch the graph vertically by a factor of 3, shift 2 units up.

Answer:

d

Step-by-step explanation:

How to solve 8(3p-1)+9=3(p+2)-1 ?

Answers

Answer:

4/21

Step-by-step explanation:

1. distribute

24p-8+9=3p+6-1

2. combine like terms on each side

24p+1=3p+5

3. solve for p

21p=4

p=4/21

Round the number 283.57 to the ones place

Answers

Answer:

284

Step-by-step explanation:

when the number to the left is 5 and up then the number is rounded up

The round off is 284.

what is rounding off?

Rounding off means a number is made simpler by keeping its value intact but closer to the next number. It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc.

given number:

283.57

To round off nearest ones place we have to focus on the place value of tenth place.

If the number at tenth place value is greater than 5 then round off will be 284 otherwise if it less than 4 then the round off will be 283

hence, the rounding off is 284.

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Describe two real-world quantities that have a proportional linear relationship. Explain how you could change the situation to make the relationship nonproportional.

Answers

Answer:

Proportional: Mike, a plumber charges $5 per hour for his service.

Non-proportional: Mike charges a initial cost of $10 plus $3 for each hours of service.

Step-by-step explanation:

Let us assume that Mike, a plumber charges $5 per hour for his service.

So, the number of hours (h) of service and the total charge (C) are proportional, which is  

C(h) = 5h ....... (1)

If the condition changes like, Mike charges an initial cost of $10 plus $3 for each hour of service.

Here, the equation that models the situation is  

C(h) = 10 + 3h .......... (2)

Now, relation (1) is non-proportional.  (Answer)

Final answer:

Real-world examples of directly proportional relationships include the relationship between distance and time at a constant speed, and cost and weight of fruit. These relationships become nonproportional when a base charge or flat fee is introduced, respectively.

Explanation:

Two real-world quantities that have a proportional linear relationship are speed and distance traveled in a given amount of time, assuming constant speed. For example, the farther you travel at a steady speed, the longer it takes. This relationship can be represented by y = kx, where y is the distance, x is the time, and k is the constant speed.

To make this relationship nonproportional, we could introduce a starting fee or base charge, making the total cost not just dependent on the distance but also an additional amount. Another example of a directly proportional relationship is the cost of fruit, where cost and weight are proportional (y = kx). By adding a flat packaging charge regardless of weight, the relationship between cost and weight becomes nonproportional.

this is worth 25(50)points please answer this is asap!​ there are three questions!

Answers

Answer:number 1 is x<6750number 2 is $22.05 number 3 is $105

Step-by-step explanation:

How do I do this
X+y=-4
3x-6y=15

Answers

Answer:

x=-1, y=-3. (-1, -3).

Step-by-step explanation:

x+y=-4

3x-6y=15

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

x=-4-y

3(-4-y)-6y=15

-12-3y-6y=15

-12-9y=15

9y=-12-15

9y=-27

y=-27/9

y=-3

x+(-3)=-4

x-3=-4

x=-4+3

x=-1

A guy-wire extends from the top of a cell phone tower to a point on the ground that is 25 ft from the base of the tower. What is the approximate length of the guy-wire if the height of the cell phone tower is 75 ft?

Answers

Answer:

79.1 ft. I just took the test and got it correct. (:

To find the length of the guy wire attached to a cell phone tower, use the Pythagorean theorem to calculate the total length of the wire. In this case, the approximate length of the guy wire is about 79.06 ft.

The length of the guy-wire can be calculated using the Pythagorean theorem.

First, find the height of the guy-wire, which is the same as the height of the tower: 75 ft.

Next, use the Pythagorean theorem to find the length of the guy-wire: Guy-wire length = [tex]\sqrt{(752 + 252)}[/tex] = [tex]\sqrt{(5625 + 625) }[/tex]= [tex]\sqrt{6250}[/tex] = 79.06 ft (approximate).

A 20-pound bag of dog food costs $16. What is the unit price per pound? ​

Answers

Answer:

0.8

Step-by-step explanation:

To calculate the cost of any item per pound, divide the cost of the item by its weight in pounds: cost ÷ pounds = cost per pound.

Hope This Helped!!

Answer:

0.8 is the unit price per pound

Step-by-step explanation:

If you divide the price ($16) by the amount (20 pounds) then you will get the unit price per pound (0.8)

So, 16 ÷ 20 = 0.8

Y= -3x +5
5x -4y = -3

Answers

Answer:

The solution of the system of equations is the point (1,2)

Step-by-step explanation:

It is required to solve the system of equations:

y= -3x + 5

5x - 4y = -3

So, substitute with y from the first equation at the second equation:

∴ 5x - 4(-3x + 5) = -3

Solve for x

∴ 5x + 12x - 20 = -3

∴ 17x = -3 +20 = 17

∴ x = 17/17 = 1

∴ y = -3 * 1 + 5 = -3 + 5 =2

So, the solution of the system of equations (1,2)

Another solution:

The give system of equations can be solved by graph both of them.

So, the solution will be the intersection between the lines.

See the attached figure.

What will the graph of a system of equations look like if two lines have the same slope but different y-intercepts? How many solutions will the system will have?

What are the three ways that systems can be classified and what does that mean for the number of solutions each system will have?

40 Point Offer for a REAL ANSWER. Any other answers will be reported. Don't be rude about it.

Answers

Answer:

I have attached a graph of such a system. The two lines have the same slopes but different y-intercepts, this means the lines are parallel, and therefore the system of equations that they represent  has no solutions because the lines never intersect.

Going into your next question, there are three ways the system of equations can be classified: the ones that have a solution, with infinitely many solutions, with no solutions.

The graphs of the system of equations that have a solution intersect exactly at one point.

The graphs of the system of equations that have infinitely many solutions are mapped onto each other (are on top of each-other), and therefore have infinite points of intersection.

The graphs of the system of equations that have no solutions never intersect;  these are represented by lines that are parallel.

Hope this helps!

8(5s-13)-16(2s+6)=0

Answers

Answer:

s=25

Step-by-step explanation:

8(5s-13)-16(2s+6)=0

40s-104-32s-96=0

40s-32s-104-96=0

8s-104-96=0

8s-200=0

8s=0+200

8s=200

s=200/8

s=25

Answer: s=25

Step-by-step explanation:

glen bakes 16 cookies. Alice bake 32 cookies.they put cookies into each bag. how nqny bags of cookies do they make?

Answers

Answer:

The number of bags of cookies do they make together is 11 .

Step-by-step explanation:

Given as :

The number of cookies baked by Glen alone = x = 16 cookies

The number of cookies baked by Alice alone = y = 32 cookies

Let the number of cookies baked by both together = z cookies

Now, According to question

Number of cookies baked by both together = number of cookies baked by Glen alone + number of cookies baked by Alice alone

Or, [tex]\dfrac{1}{z}[/tex] = [tex]\dfrac{1}{x}[/tex] + [tex]\dfrac{1}{y}[/tex]

Or,  [tex]\dfrac{1}{z}[/tex] = [tex]\dfrac{1}{16}[/tex] + [tex]\dfrac{1}{32}[/tex]

Taking LCM

[tex]\dfrac{1}{z}[/tex] = [tex]\dfrac{2 + 1}{32}[/tex]

Or,  [tex]\dfrac{1}{z}[/tex] = [tex]\frac{3}{32}[/tex]

Or, z = [tex]\dfrac{32}{3}[/tex]

i.e z = 10.67 ≈ 11

So, The number of bags of cookies do they make together = z = 11

Hence, The number of bags of cookies do they make together is 11 . Answer

this is an easy question: amani saw a sale of $3.60 for 6 bottles of soda. how much would she pay if she only wanted to buy 1 bottle?

Answers

Answer:0.6 cents

Step-by-step explanation:

6 cents if you times 3.60 by 6 and divide by how many there is :)

I’d your percent discount is 25% and your sales price is $40, how do you find the original price

Answers

Answer:

40

Step-by-step explanation:

What is 7x-4y-8-3x-8y+12

Answers

Answer: total comes to 4X - 12Y + 4

Step-by-step explanation:

Answer:

7x - 4y - 8 -3x - 8y + 12

Step-by-step explanation:

7x - 3x = 4x

-4y - 8y = 12y

-8 + 12 = 4

4x - 12y + 4

plz mark brainliest i just need 3 more until expert plz plz plz

twice the quantity x plus 2 is equal to 3 less than x​

Answers

2x + 2 = 3 where 3 < x

2x = 3 – 2

2x = 1

x = 1/2 or x = 0.5

help me solve for 1,2,3,and 4 PLEASE

Answers

1.[tex](-7,-3)[/tex]

2.[tex][5,\alpha )[/tex]

3.[tex](-4,-\alpha )[/tex]

4.[tex](-1,0)[/tex]

Explanation

a shaded circle in number line indicates that the number in the shaded point is also included in the interval. In the interval notation this limit is expressed using a square bracket.

A circle that is not shaded in a number line indicates that the number is not included in the interval. In interval notation a bracket is used to represent that point on the number line.

An arrow shows the extension to negative or positive infinity. The symbol [tex]\alpha[/tex] is used to represent infinity and is always included in bracket.

X 1 2 3 4 5 Y 1 3 5 7 9
Given the table, write an expression for the function, and describe what it does.
A) y= 2x. Y is double x.
B) y= 3x. Y is triple x.
C) y= 2x + 1. Y is twice x plus 1.
D) y= 2x -1. Y is twice x minus 1.

Answers

Final answer:

The function that correctly represents the pattern in the given table is y = 2x + 1, which means that, for each input X, you multiply by 2 and then add 1 to obtain output Y.

Explanation:

The table of values given indicates a linear relationship between X and Y. If we look closely, we can see that for every unit increase in X, Y increases by 2 units. This pattern indicates that the function is characterized by the equation y = 2x + 1.

So, the correct answer is C) y = 2x + 1. This means that Y is twice the value of X plus 1. In simpler terms, we multiply the input variable (X) by 2 and then add 1 to determine the output (Y).

None of the other given function expressions correctly describe the pattern observed in the table.

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Final answer:

The expression for the function is y=2x. Y is double x.

Explanation:

The function that relates the values of X and Y in the given table is y = 2x. This means that the value of Y is twice the value of X. For example, when X=3, Y=6 because 2*3=6. This pattern holds true for all the other values in the table.

Option A) y= 2x is the correct expression for this function as it shows that Y is double X. Therefore, the answer to this question is A) y= 2x. Y is double x.

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Match the system of equations with their solution

Answers

The first one is (51,26) the second one is (47,33) the third is (-17,-36) the fourth is (-31,-56)

6m-2(7+3m)>5(2m-3)-m

Answers

Answer:

Therefore the value is

[tex]m<\dfrac{1}{9}[/tex]

Step-by-step explanation:

Given:

[tex]6m-2(7+3m)>5(2m-3)-m[/tex] ....Given

Step 1. Applying Distributive Property A(B+C)=AB+AC we get

[tex]6m-2\times7-2\times 3m>5\times 2m-5\times 3-m[/tex]

[tex]6m-14-6m>10m-15-m\\-14>9m-15[/tex]

Step 2. Add 15 both the side

[tex]-14+15>9m-15+15\\1>9m[/tex]

Step 3. Dividing both the side by 9

[tex]\dfrac{1}{9}>\dfrac{9m}{9}\\\\\dfrac{1}{9}>m[/tex]

Therefore the value is

[tex]m<\dfrac{1}{9}[/tex]

Help i dont understand

Answers

The given equation in standard form is:

[tex]3x+5y=7[/tex]

Step-by-step explanation:

Given equation is:

[tex]x = -\frac{5}{3}y+\frac{7}{3}[/tex]

The standard form of linear equation is:

[tex]Ax+By = C[/tex]

In order to convert the given equation in standard form

Multiplying both sides by 3

[tex]3x = -5y+7[/tex]

Adding 5y on both sides

[tex]3x+5y = -5y+5y+7\\3x+5y = 7[/tex]

Hence,

The given equation in standard form is:

[tex]3x+5y=7[/tex]

Keywords: Linear equation, variables

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How to find the surface area of 3D shapes

Answers

Answer:

First, find the area of each side, and the just add them together. It sounds like a lot of work, but getting the question right is totally worth it.

Step-by-step explanation:

The steps to find the Surface Area of different 3D shapes is discussed below:

What is Surface Area?

Surface area refers to the total area of the outer surface of a three-dimensional object.

To find the surface area of 3D shapes, you need to calculate the sum of the areas of all the individual faces of the shape.

The specific formulas for each shape vary, so let's go through some common 3D shapes and their surface area formulas:

1. Cube:

The surface area of a cube is given by the formula: SA = 6s², where s² is the area of square faces.

2. Rectangular Prism:

The surface area of a rectangular prism is given by the formula: SA = 2lw + 2lh + 2wh, where l, w, and h represent the length, width, and height of the prism.

3. Cylinder:

The surface area of a cylinder is given by the formula: SA = 2πrh + 2πr², where 2πrh is area of side circular and 2πr² is Area of base.

4. Sphere:

The surface area of a sphere is given by the formula: SA = 4πr², where r is the radius of the sphere.

5. Cone:

The surface area of a cone is given by the formula: SA = πr(r + √(r² + h²)), where r is the radius of the base and h is the height of the cone.

6. Pyramid:

The surface area of a pyramid depends on the shape of its base. For example, the surface area of a square pyramid is given by the formula: SA = l² + 2lw, where l is the slant height and w is the base width.

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why 2+2=4 and not 2+2=22 ?

Answers

2 + 2 = 4 because 4 is a sum of 1-digit numbers

2 + 2 ≠ 22 because 22 is the sum of 1-digit and 2-digit numbers

Step-by-step explanation:

Lets explain some important notes:

The 1-digit number consists of one digit, 4 is a one-digit numberThe 2-digit number consists of two digits, ones digit and tens digit, 23 is a 2-digit number, the ones digit is 3 and the tens digit is 2, so its value is 20 + 3The 3-digit number consists of ones digit, tens digit and the hundreds digit, 123 is a 3-digit number, the ones digit is 3, the tens digit is 2 and the hundreds digit is 1, so its value is 100 + 20 + 3

∵ 2 + 2 is the addition problem of two 1-digit numbers

∴ There sum will be 4 which is also 1-digit number

∴ 2 + 2 must be 4

∵ 22 is a two digit number

∴ Its value is 20 + 2 ⇒ not 2 + 2

∴ 2 + 2 can not be 22

2 + 2 = 4 because 4 is a sum of 1-digit numbers

2 + 2 ≠ 22 because 22 is the sum of 1-digit and 2-digit numbers

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Bradley and 23 of his classmates went on a trip to the aquarium. There are 8 more boys than girls on the trip. Write a system of equations to model the problem. Then solve the system algebraically. How many boys and girls were on the trip?

Answers

Answer:

Step-by-step explanation:

Total number on the trip is 24

Let the number of girls be x

Then the boys are x + 8

So... x + x + 8 = 24

2x + 8 = 24.......... This is the equation

2x = 24 - 8

2x = 16

x = 16/2

x = 8

Number of girls = 8

And number of boys = x + 8

Which is = 8+8 = 16

There were 8 girls and 16 boys on the trip.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Bradley and 23 of his classmates went on a trip to the aquarium.

∴ There are a total of 24 students.

There are 8 more boys than girls on the trip.

Assuming the no.of girls to be x, hence no. of boys is (x + 8).

So, x + (x + 8) = 24.

2x + 8 = 24.

2x = 16.

x = 8.

So, no. of girls on the trip is 8, and no. of boys on the trip is (8 + 8) = 16.

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For a school play the teacher asked the class to set up chairs in 20 rows with 25 chairs they were 5 chairs short how many chairs did the class set up

Answers

Answer:

Step-by-step explanation:

The original amount there should be:

20 x 25 = 500

Take the extra 5 chairs and subtract it from the original amount, 500.

500 - 5 = 495  

Therefore, the amount of chairs that got set up would be 495.

I hope this helped! :)

| 4x +2|=10 confirm your solution using a graph or table

Answers

Remove the absolute value term. 4x+2=10 solve this, x=2

Set up the negative portion 4x+2= -10 solve this, x= -3

Answer:

  x = -3 or +2

Step-by-step explanation:

Such an equation resolves into two equations. The argument of the absolute value function can be either positive or negative, so there is one equation for each case.

4x +2 = 10

  4x = 8 . . . . subtract 2

  x = 2 . . . . . divide by 4

4x +2 = -10

  4x = -12 . . . subtract 2

  x = -3 . . . . . divide by 4

The two solutions are x=-3 and x=2.

The perimeter of a sand volleyball court is 50 meters. It is 9 meters wide. How long is it?

Answers

Answer:

16

Step-by-step explanation:

You have to find y in the answer

Final answer:

The volleyball court is 16 meters long, which was calculated by using the formula for the perimeter of a rectangle and the given width of 9 meters.

Explanation:

To find the length of the volleyball court, we need to use the formula for the perimeter of a rectangle which is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width. Since we know the perimeter is 50 meters and the width is 9 meters, we can substitute these values into the formula to solve for the length l.

First, we calculate the total contribution of the width to the perimeter, which is 2w, so 2 times 9 meters = 18 meters. We then subtract this from the total perimeter to find the combined contribution of both lengths: 50 meters - 18 meters = 32 meters. Finally, we divide by 2 to find the length of one side: 32 meters / 2 = 16 meters.

Therefore, the volleyball court is 16 meters long.

At a sale, Salazar bought 4 T-shirts and 3 pairs of jeans for $181. At the same store, Jenna bought 1 T-shirt and 2 pairs of jeans for $94. The T-shirts were all the same price, and the jeans were all the same price. Write a system of equations that can be used to represent this situation

Answers

Final answer:

A system of equations can be used to represent the situation. The system can be set up with x representing the price of a T-shirt and y representing the price of a pair of jeans.

Explanation:

To represent this situation, we can set up a system of equations. Let x represent the price of a T-shirt and y represent the price of a pair of jeans.

The first equation will be: 4x + 3y = 181, since Salazar bought 4 T-shirts and 3 pairs of jeans for $181.

The second equation will be: x + 2y = 94, since Jenna bought 1 T-shirt and 2 pairs of jeans for $94.

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You want to find the equation for a line that passes through the point (3,-4) and has a slope of -1/2.

Answers

Answer:

[tex]y = -\frac{1}{2}x -\frac{5}{2}[/tex]

Step-by-step explanation:

We are given;

A point where the line is passing through as (3, -4)The slope of the line -1/2

We are required to determine the equation of the line;

Note that, one way we can get the equation of a straight line is when we are given a point where the line is passing through and its slope.Thus, in this case, we can determine the equation;

Taking another point (x, y)

Then; (x, y) , ( 3, -4) and slope -1/2 can give us the equation;

That is;

[tex]\frac{y+4}{x-3}=-\frac{1}{2}[/tex]

Cross multiplication;

[tex]2(y+4) = -1 (x-3)[/tex]

[tex]2y + 8 = -x +3[/tex]

Combining the like terms;

[tex]2y=-x-5\\y = -\frac{1}{2}x-\frac{5}{2}[/tex]

Thus, the equation of the line is; [tex]y = -\frac{1}{2}x -\frac{5}{2}[/tex]

Please help!!! Need ASAP

Answers

Answer:

1=R, 2=O, 3=A, 4=D

Step-by-step explanation:

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One of those things was gentleness and another was idleness.1) What type of conflict is shown by Okonkwo's fear in this passage?A) Man vs. ManB) Man vs. NatureC) Man vs. SocietyD) Man vs. Self2) What major motivation of Okonkwo is revealed in this passage?A)He does not want to be anything like his father.B) He wants to become more famous.C) He wants to gain more wives.D) He doesn't want to be thought weak.3) Which of the following statements is an example of indirect characterization of Okonkwo's violent nature?A) "But his whole life was dominated by fear, the fear of failure and of weakness."B) "Okonkwo ruled his household with a heavy hand."C) "Perhaps down in his heart Okonkwo was not a cruel man."D) "Okonkwo's fear was great than these."4) Which of the following character traits of Okonkwo is revealed at the beginning of this passage?A) He is very wealthy.B) He is very pridefulC) He is very famous.D) He is very violent. Coronado Industries is being sued for illness caused to local residents as a result of negligence on the company's part in permitting the local residents to be exposed to highly toxic chemicals from its plant. Coronado's lawyer states that it is probable that Coronado will lose the suit and be found liable for a judgment costing Coronado anywhere from $1,830,000 to $8,980,000. However, the lawyer states that the most probable cost is $5,430,000. As a result of the above facts, Coronado should accrue:________.a) a loss contingency of $1,800,000 and disclose an additional contingency of up to $7,200,000.b) a loss contingency of $5,400,000 and disclose an additional contingency of up to $3,600,000.c) a loss contingency of $5,400,000 but not disclose any additional contingency.d) no loss contingency but disclose a contingency of $1,800,000 to $9,000,000. In every chemical reaction, ____. a) moles and liters are conserved b) moles and molecules are conserved c) mass and atoms are conserved d) mass and molecules are conserved Should there be a dress code at school? Why or why not?Three reason If the recommended adult dosage for a drug is D (in mg), then to determine the appropriate dosage c for a child of age a, pharmacists use the equation c = 0.0417D(a + 1). Suppose the dosage for an adult is 200 mg.(a) Find the slope of the graph of c. (Round your answer to two decimal places.)(b) What is the dosage for a newborn? (Round your answer to two decimal places.) Question 1 (1 point)You're painting a picture of a car. The color you've chosen for the car's paint is bright,but you'd like to give the car an older, dirtier look. What property of the color wouldyou change to make the car look dingier and less colorful? (Select the best answer.)A-Hue. B-IntensityC-ValueD-Lightness Find The original price of a motorbike if you got a 10% discount and paid a final price of $2160 for it Systena Solutions Inc. contracts Anenta Software Inc. to develop advanced anti-malware software. In order to serve its new customer better, Anenta Software Inc. sets up a dedicated customer service team exclusively for Systena Software. This is an example of _____ customer service. Select the correct answer. Ceremonial law _____. was the same as the Ten Commandments was the part of the law that covered worship, religious festivals, and sacrifices was the part of the law that covered property and societal relationships This table shows the starting and ending temperature for eight days.Starting temperature (F)1301151008570554025Ending temperature (F)2024263032364042Use the data from the table to create a scatter plot. In the space below, compose a 500-word argumentative essay which answers the following question: Who is More Heroic: Odysseus, Penelope or some other character from the Odyssey? Be sure to cite evidence from the text to support your viewpoint, as well as address at least one counter-argument. Your essay should demonstrate a thoughtful reflection on the book and follow the mechanics of proper essay form. 75 of 145 is what...................................................... The distance between the nuclei of the atoms in a hypothetical diatomic molecule, X2, is 516 pm. Determine the atomic radius of X. Steam Workshop Downloader