What's a venn diagram, how to draw it and the steps too!

Answers

Answer 1

What is a Venn Diagram?

Explain : A Venn diagram is a widely used diagram style that shows the logical relation between sets, popularized by John Venn in the 1880s. The diagrams are used to teach elementary set theory, and to illustrate simple set relationships in probability, logic, statistics, linguistics and computer science.

How to draw a Venn Diagram?

Explain : To create an intersecting Venn diagram, draw three circles that overlap in the middle. You'll be able to show which attributes are unique to each circle, which overlap between two, and which are common characteristics of all three groups. Two circles overlapping is a classic venn diagram

What is a venn Diagram mostly used for?

Explain : A Venn diagram uses overlapping circles or other shapes to illustrate the logical relationships between two or more sets of items. Often, they serve to graphically organize things, highlighting how the items are similar and different.

Set notations: The concepts illustrated in Venn ...

Scaled Venn Diagram: Also called Area Propo...

Reuleaux Triangle: Shape formed from the int...

Intersection: The items that overlap in the sets. ...

Here's some question for Venn Diagrams!

A. What's the first step creating a Venn Diagram? https://www.math-only-math.com/practice-test-on-Venn-diagrams.html

B. What's the last step to create a Venn Diagram? https://www.purplemath.com/modules/venndiag4.htm

C. What does a Venn Diagram looks like?

( Try using those questions to partice more about Venn Diagrams! )

( Also, thank you for the points! )


Related Questions

The formula for the area of a square is A = s^2 where s is the side length. A square garden has a side length of x^4y. What is the area of the garden?

Answers

Refer to the image attached.

If x is 0, wouldn't that make it 2^0 being one

Answers

Answer:

any number raised by power 0 is always one

ie 10000000000^0 = 1

99999999^0 =1

23^0 = 1

Answer:

Yes. If x=0, then 2ˣ = 0

Step-by-step explanation:

I presume you mean 2ˣ

Any number raised to the power zero is 1 so if x = 0, 2⁰ = 1. There are debates about what 0⁰ evaluates to but I don' think you need to worry about that for this question

I hope I interpreted your question correctly.

(40 PTS, HELP ME) In the following diagram, A || B.
Use complete sentences to explain how the special angles created by the intersection of A and B by D can be used to solve for x.
Solve for x, showing all of your work

Answers

The answer is 24

What are supplementary angles?

Supplementary angles are those angles that sum up to 180 degrees. For example, angle 130° and angle 50° are supplementary angles because sum of 130° and 50° is equal to 180°.

Given here:  A || B.

Now if transversal D intersects A and B we have

If a transversal intersects two parallel lines, then each pair of interior angles on the same side of the transversal is supplementary, i.e. they add up to 180°. When two lines intersect each other, then the opposite angles, formed due to intersection, are called vertical angles or vertically opposite angles.

Thus we have 4x+5+3x+7=180

                               7x=168

                                 x=24

Hence, The value of x is 24

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What is the range of f(x) = |x| − 5?

Answers

greater than or equal to 5

Answer:

from -5 to infinity

Step-by-step explanation:

Hope this helps.

Which question can be answered by finding 4
You have 4 pounds of fruit and use pound. How much fruit is remaining?
How much is of 4 pounds of fruit?
CLEAR
You are buying pound containers of fruit at the store. How many containers do you need to buy to have 4 pounds of truit?

Answers

The question which can be answered by finding 4½ ÷ ¼ is "You are buying ¼ pound containers of fruit at the store. How many containers do you need to buy to have 4½ pounds of truit?".

The correct answer choice is option C

How to divide fraction?

You have 4½ pounds of fruit and use ¼ pound. How much fruit is remaining

Pounds of fruits remaining = Pounds of fruits you have - pounds of fruits used

= 4½ - ¼

= 9/2 - 1/4

= (18-1)/4

= 17/4 pounds

How much is ¼ of 4½ pounds of fruit?

= ¼ × 4½

= ¼ × 9/4

= 9/16 pounds of fruits

You are buying ¼ pound containers of fruit at the store. How many containers do you need to buy to have 4½ pounds of truit?

Number of containers needed = 4½ ÷ ¼

= 9/2 ÷ 1/4

multiply by the reciprocal of 1/4

= 9/2 × 4/1

= 36/2

= 18 containers

Hence, The question which represents 4½ ÷ ¼ is "You are buying ¼ pound containers of fruit at the store. How many containers do you need to buy to have 4½ pounds of truit?".

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A food delivery driver is 4 3/4 miles west of a city's library when he receives a call to pick up food from a restaurant. The restaurant is 1.5 miles east of the library. Assume the driver takes the most direct route to the restaurant. How will the driver drive to the restaurant? Select from the drop-down menus to correctly complete the statement.

Answers

If a food delivery driver is 4 3/4 miles west of a city library when he gets a call to pick up food from a restaurant, the mixed fraction is 4.75 miles, and the overall distance is 6.25 miles.

What is a fraction?

The numerator, which is the portion of a fraction that is at the top, and the denominator, which is the portion that is at the bottom, are its two constituent parts.

It is given that:

A food delivery driver is 4 3/4 miles west of a city library when he receives the call to pick up food from a restaurant.

The restaurant is 1.5 miles east of the library.

The mixed fraction can be written as:

4 3/4 = 19/4 = 4.75

Total = 4.75 + 1.50 = 6.25 miles

Thus, If a food delivery driver is 4 3/4 miles west of a city library when he gets a call to pick up food from a restaurant, the mixed fraction is 4.75 miles, and the overall distance is 6.25 miles.

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To change the weight of kilograms into pounds, multiply the weight in kilograms by ____________

Answers

To change the weight of kilograms into pounds, multiply the weight in kilograms by 2.2

According to the conversion systems, 1 kg = 2.2046 lbs

To facilitate conversion on a pen-paper basis we cannot use 2.2046 whole.

Hence we generally consider 1 k = 2.2 pounds.

The symbol for pounds is lbs and for kilograms is kg.

Now, 1 kg is 2.2 lbs

2 kg = 1 kg + 1 kg

= 2.2 lbs + 2.2 lbs

= 4.4lbs = 2 X 2.2

3 kg = 1 kg + 2 kg

= 2.2 lbs + 4.4 lbs

= 6.6 lbs. = 3 X 2.2

Hence we can see that for all these numbers we can multiply 2.2 to the given weight in kg to get the pounds form.

Hence we need to multiply 2.2

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Can someone explain how to solve this

Answers

Answer:

(-(11 w^2 - 13))

Step-by-step explanation:

Simplify the following:

2 w^2 - 13 w^2 + 13

Grouping like terms, 2 w^2 - 13 w^2 + 13 = (-13 w^2 + 2 w^2) + 13:

(-13 w^2 + 2 w^2) + 13

2 w^2 - 13 w^2 = -11 w^2:

-11 w^2 + 13

Factor -1 out of -11 w^2 + 13:

Answer: (-(11 w^2 - 13))

Is 48 a factor of 8?

Answers

No, number 48 is not the factor of 8 , 48 is a multiple of 8.

As given in the question,

Given number is equal to ,

48.

Factors are those numbers which divide the given number completely without leaving any remainder.

The factors of the number 48 are equal to:

1, 2, 3, 4, 6, 8, 12, 16, 24 and 48.

Multiple of 8 are equal to :

8, 16, 24, 32, 40, 48, .....

48 is not considered as a factor of 8 it the multiple of the number 8.

8 is the factor of the given number 48.

Therefore, number 48 is not the factor of 8 , it is considered as the multiple of 8.

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I need helppp quickkkk

Answers

The required triangles are similar because Corresponding sides of the triangles are proportional and their corresponding angles are same.

What is Similarity?

For plants, an isotype is a replica of the logotype; holotype and isotypes are frequently taken from the same individual plant or samples from the same collection. Hence Isotypes are pairs of related holotypes. Therefore, choice D is the right response.

According to question;

To prove the similarity of two triangles,Corresponding sides of the triangles are proportional and their corresponding angles are same.

The scale factor of their side = 33/11 = 3

So, ΔQRS ~  ΔTUV with scale factor of 3.

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Since the respective sides of the required triangles are proportional and their corresponding angles are identical, the required triangles are similar.

What exactly is similarity?Holotype and isotypes are typically obtained from the same specific plant or samples from the same collection. An isotype is a copy of the logotype for plants. Since they are related holotypes, isotypes are pairs of them. D is the appropriate response, thus.The respective sides of the triangles are proportional, and their corresponding angles are identical, which helps to demonstrate how similar two triangles are.Their side's scale factor is 33/11, or 3.As a result, QRS TUV with a scale factor of 3.

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What happens when you take the absolute value of a complex number?

Answers

The origin in the complex plane is represented by the number 0. Therefore, the separation between a complex number and the complex plane's origin (zero) equals its absolute value.

What happens when you calculate a number's absolute value?A number, variable, or expression is enclosed in two vertical bars to represent an absolute value in mathematics, as in the following example: A number's absolute value is always either positive or zero when calculated. The absolute value remains the same whether the initial value is already positive or zero.The origin in the complex plane is represented by the number 0. Therefore, the separation between a complex number and the complex plane's origin (zero) equals its absolute value.You won't have a solution if your absolute value expression is set to a negative quantity.

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Which of the following quadratic equation describe the speed of Raj’s car

Answers

The quadratic equation that describe the speed of Raj's car is c) x² + 5x - 500 = 0

How to calculate the equation?

speed of raj car = x km/h .

speed of ajay car = 5 km faster than speed of raj car = (x + 5) km/h .

Distance cover by ajay in 2 hours = 2(x + 5) km

time taken by raj to cover 400 km = D/S = (400/x) hours .

time taken by ajay to cover 400km = D/S = 400/(x + 5) hours .

A/q,

400/x - 400/(x + 5) = 4

400{1/x - 1/(x + 5)} = 4(x + 5 - x)/x(x + 5) = 1/100

x² + 5x = 5 * 100

x² + 5x - 500 = 0

In this case, it should be noted that the concept that was Illustrated here is the concept of quadratic equations.

Therefore, based on the calculation above, the correct option is C.

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Complete question

Which of the following quadratic equation describe the speed of Raj's car?

a) x² - 5 X - 500 = 0

b) x² + 4x - 400 = 0

c) x² + 5x - 500 = 0

d) x² - 4x + 400 = 0

what is the answer please i need help -2.6f+0.4f-14-4

Answers

Answer: [tex]-2.2f-18[/tex]

Step-by-step explanation:

[tex]-2.6f+0.4f-14-4=f(-2.6+0.4)+(-14-4)=-2.2f-18[/tex]

Why is 47 a prime number?

Answers

Answer:

47 is a prime number because it has only two factors, 1 and 47.

Step-by-step explanation:

Your welcome.

Answer: A prime number is a number that can only be divided evenly by 1 and itself. 47 is a prime number because it can only be divided evenly by 1 and 47. It cannot be divided evenly by any other number. That's why we say 47 is a prime number. ✅

PLEASE MAKE THIS A BRANLIEST ANSWER!!!

A local car dealership is offering a sale. All new cars are on sale for 23% off the sticker price. All used cars are 10% off the sticker price. You have narrowed your decision down to two cars:
Car 1 (new) sticker price = $20,000.00
Car 2 (used) sticker price = $17,000.00
Answer the following questions.

How much money would you save on car 1?
How much money would you save on car 2?
Which car would you choose to buy and why? Justify your answer using your calculations.

Answers

To find out how much money you would save on car 1, you would multiply the sticker price by the discount percentage (expressed as a decimal). In this case, that would be $20,000.00 x 0.23 = $4,600.00. So you would save $4,600.00 on car 1.

To find out how much money you would save on car 2, you would multiply the sticker price by the discount percentage (expressed as a decimal). In this case, that would be $17,000.00 x 0.10 = $1,700.00. So you would save $1,700.00 on car 2.

Based on the calculations, Car 1 would be a better deal. Even though Car 2 is cheaper by $3,000.00 before discount, Car 1 saves more on discount of $4,600.00 compared to Car 2's $1,700.00. So Car 1 would be more affordable overall.

Estimate a 15% tip on a dinner bill of 32.57 by first rounding the bill amount to the nearest ten dollars.

(Timed, but you will get a lot of points and brainliest and 5 stars!)

Answers

Answer: 5.

Step-by-step explanation: The .57 doesn't matter so we can remove that.

Multiply 32 by 0.15

32 x 0.15 = 4.8

After you get your result, round it to the nearest tenths.

4.8 = 5

hope this helps

I kinda need help :<
For each coordinate grid, identify a pair of congruent figures. Then determine a congruence transformation that maps the pre-image to the congruent image.

Answers

The coordinates of the vertices of △ABC are A(-4,1), B(-2,4), C(-2,0), △CDE are C(-1,-1), D(1,1), E(4,-1), and △IHG are I(2,3),H(4,0), G(4,4).

The transformation is △ABC reflected with the line y =2 and shifted 6 units right sides.

What are the vertices of a triangle?

A triangle is a three-edged polygon with three vertices. It is a fundamental shape in geometry. Triangle ABC denotes a triangle with vertices A, B, and C. In Euclidean geometry, any three non-collinear points define a unique triangle and, by extension, a unique plane.

There are three triangles. The vertices of △ABC are A(-4,1), B(-2,4), C(-2,0).

The vertices of △CDE are C(-1,-1), D(1,1), E(4,-1). The vertices of △IHG are I(2,3),H(4,0), G(4,4).

The △ABC is congruent with △IHG.

The difference between the x-coordinate of A and I is (2 - (-4)) = 6

The difference between the x-coordinate of B and H is (4 - (-2)) = 6

The difference between the x-coordinate of C and G is (4 - (-2)) = 6

The sum of the y-coordinate of A and I is (3+1) = 4

The sum of the y-coordinate of B and H is (4 + 0) = 4

The sum of the y-coordinate of C and G is (4 + 0) = 4

The midpoint of y-coordinate of △ABC and △IHG is 4/2 = 2

The △ABC is reflected by y = 2 and shifted 6 units right side.

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ASAPPPP I'LL GIVE BRAINIESTβ
In each basket of fruit, there are 3 more apples than pears.

Which equation represents the relationship between the number of apples a and the number of pears p?



p = a + 3

p, = , a, + 3

a = p + 3

a = p + 3

p = 3a

p, = 3, a

a = 3p

Answers

The equation that represents the relationship between the number of apples a and the number of pears p is b. a = p + 3.

How to illustrate the equation?

An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.

From the information, in each basket of fruit, there are 3 more apples than pears.

Let p = pears

Let a = apple

Therefore, the equation that represents the relationship between the number of apples a and the number of pears p is a = p + 3.

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Pls help 4 cups of flour are mixed with 24 cups of sugar. How many cups of flour should be used if 84 cups of sugar are used?

Answers

The amount of flour needed for 84 cups of sugar will be 14 cups of flour.

How to measure quantity?

A property that can be measured like, mass, length, time, volume, and pressure. A unit is a standard quantity against which a quantity is measured for example, gram, metre, second, litre, pascal, which are units of the preceding quantities.

To measure the quantity of cups of flour needed to mix 84 cups of sugar;

24 cups of sugar = 4 cups of flour

84 cups of sugar = ? cups of flour = 84/24 x 4

for 84 cups of sugar = 3.5 x 4 = 14 cups of flour.

It will take 14 cups of flour to mix 84 cups of sugar.

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Which of the following is logically equivalent to~ (~p⇒q)?p ∧qp ∧~ q~p ∧q~ p ∧~q

Answers

p ∧qp ∧~ q~p ∧q~ p ∧~q  is logically equivalent to~ (~p⇒q) for the given question

If p → q

and q →r , then  you can use the law of transitivity to conclude

q→r.

That is a basic law of sillogisms.

An example will help you to understand the transivity law:

Make p, stand for 3 > 3/4, q stand for 3/4 > 15 / 20, the you can conclude that 3 > 15 / 20.

3 > 3/4

3 /4 > 15 / 20

Then, 3 > 15 /20.

This is, from the fact that you know that 3 is gretar than 3/4 and that 3/4 is greater than 15/20, you can conclude that 3 > 15 / 20. That is transitivity and is a law of logic, which you can use to get conclusions.

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for questions 13-16, determine if the inverse of the function shown on the graph would also be a function.

Answers

If a function yields the result y, then its inverse function, denoted by the symbol , will return the value x.

What is meat by inverse of the function?

A function's output is returned when its inverse function does the same action variable. The inverse function of a function, or f-1(y), will return the value x if the function f(x) produces the output y.A function that reverses the action of a function, or f, is known as its inverse in mathematics.

Here,

A function that reverses the effects of another function is said to have an inverse. If y = f(x), then x must always equal g, then a function g is the inverse of a function f. (y). Application of f followed by application of g is equivalent to doing nothing, in other words. As g(f(x)) = x, this can be expressed in terms of the relationship between f and g.

Because they allow for the reversal of mathematical operations, inverse procedures are crucial for solving equations (e.g. logarithms, the inverses of exponential functions, are used to solve exponential equations). How to invert a mathematical technique is one of the most crucial questions whenever one is introduced.

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The complete question : " In Exercises 15-18, match the graph of the function with the graph of its inverse function. [The graphs of the inverse functions are labeled (a), (b), (c), and (d).]"

Determine the type of dilation shown and the scale factor used.

Enlargement with scale factor of 1.5
Enlargement with scale factor of 2.5
Reduction with scale factor of 1.5
Reduction with scale factor of 2.5

Answers

The figure's scale factor and type of dilatation are

enlargement using a 2.5 scale factorFinding the type of dilatation

What are scale factors?

Scale factors are applied to alter the size of the image. The circumstance of increase is frequently referred to as enlargement or magnification.

Given that the preimage is smaller than the image, the situation is enlargement. This implies that the scale factor will also be higher than 1.

Establishing a baseline, say side 8 and side 20 in the preimage and the image respectively. Then, assuming the factor is k, get the factor.

8k = 20

k = 20/8

k = 2.5

The scale factor is 2.5

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Evaluate each expression when X=3/4 and y=2.5

1. 8x
2. y2
3. 10/y

Answers

Answer:

1. 6

2. 5

3. 4

Step-by-step explanation:

For each expression, Substitute the variable for what is given in the statement.

1. 8×(3/4)=6

2. 2.5×(2)=5

3. 10/2.5=4

What is the exponential form of 64 *?

Answers

The exponential form of 64 is 2^6.

Solve the system of linear equations by elimination.
-5x+12y=8
2x-8y=0

Answers

Answer:

x = -4

y = -1

Step-by-step explanation:

-5x+12y=8

2x-8y=0

We multiply the first equation by 2 and the second equation by 5

-10x + 24y = 16

10x - 40y = 0

-16y = 16

y = -1

Now put -1 back in for y and solve for x

-5x + 12(-1) = 8

-5x - 12 = 8

-5x = 20

x = -4

Let's check

-5(-4) + 12(-1) = 8

20 - 12 = 8

8 = 8

So, x = -4 & y = -1 is the correct answer.

The cost of 1 cap and 1 wallet is
£28.
The cost of 2 caps and 1 wallet is
£45.
a) How much does 1 cap cost?
b) How much does 1 wallet cost?

Answers

Answer:

cap: 17, wallet: 11

Step-by-step explanation:

45 - 28 = 17

45 - (17 x 2)  =

45 - 34 = 11

could also do:

28 - 17 = 11

Hope this helps have a good day

Write the quadratic equation whose roots are -3 and 6, and whose leading coefficient is 4

Answers

The quadratic equation whose roots -3 and 6 and leading coefficient 4 is 4x²-12x-72 = 0

What is quadratic equation?

A quadratic equation is an equation of degree 2, meaning that the highest exponent of this function is 2. The standard form of a quadratic is y = ax^2 + bx + c, where a, b, and c are numbers and a cannot be 0. Examples of quadratic equations include all of these: y = x² + 3x + 1 , y = x²+x-1

If the root of the quadratic equation are -3 and 6

then, x = -3 and x= 6

therefore x+3 = 0 and (x-6) = 0

(x+3)(x-6) = 0

with leading coefficient 4,

then 4( x+3) ( x-6) = 0

4 ( x²-6x+3x-18) = 0

4( x²-3x-18) = 0

open the parentheses,

4x²-12x-72 = 0

Therefore, the quadratic equation with root -3 and 6 and leading coefficient 4 is 4x²-12x-72 = 0

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Solve for x.

2(x−3 1/2)=10 3/4

Enter your answer as a mixed number in simplest form in the box.

Answers

Answer:

x = 71/8

Step-by-step explanation:

Solve for x:

2 (x - (3 + 1/2)) = 10 + 3/4

Put 3 + 1/2 over the common denominator 2. 3 + 1/2 = (2×3)/2 + 1/2:

2 (x - (7/2)) = 10 + 3/4

2×3 = 6:

2 (x - (1/2 6 + 1/2)) = 10 + 3/4

6/2 + 1/2 = (6 + 1)/2:

2 (x - (7/2)) = 10 + 3/4

6 + 1 = 7:

2 (x - 1/2 7) = 10 + 3/4

Put each term in x - 7/2 over the common denominator 2: x - 7/2 = (2 x)/2 - 7/2:

2 ((2 x)/2 - 7/2) = 10 + 3/4

(2 x)/2 - 7/2 = (2 x - 7)/2:

2 (1/2 (2 x - 7)) = 10 + 3/4

(2 (2 x - 7))/2 = 2/2×(2 x - 7) = 2 x - 7:

(2 x - 7) = 10 + 3/4

Put 10 + 3/4 over the common denominator 4. 10 + 3/4 = (4×10)/4 + 3/4:

2 x - 7 = ((4×10)/4 + 3/4)

4×10 = 40:

2 x - 7 = 40/4 + 3/4

40/4 + 3/4 = (40 + 3)/4:

2 x - 7 = ((40 + 3)/4)

40 + 3 = 43:

2 x - 7 = 43/4

Add 7 to both sides:

2 x + (7 - 7) = 43/4 + 7

7 - 7 = 0:

2 x = 43/4 + 7

Put 43/4 + 7 over the common denominator 4. 43/4 + 7 = 43/4 + (4×7)/4:

2 x = (43/4 + (4×7)/4)

4×7 = 28:

2 x = 43/4 + 28/4

43/4 + 28/4 = (43 + 28)/4:

2 x = ((43 + 28)/4)

43 + 28 = 71:

2 x = 71/4

Divide both sides by 2:

x = (71/2)/4

4×2 = 8:

Answer: x = 71/8

Solve for y
x = x (2x - 4) + y

The first x is squared I just can’t put a square in brainly

Answers

Answer:

y = −x^2 + 4x

Step-by-step explanation:

x^2 = x (2x - 4) + y

Let's simplify it and we get

x^2 = 2x^2 - 4x + y

Now, we want to get the y by itself

x^2 = 2x^2 - 4x + y

-x^2 = -4x + y

-x^2 + 4x = y

So, our answer is  y = −x^2 + 4x

Identify the center of dilation. plss

Answers

So on solving the provided question we cans say that rom the graphs Area 0f triangle = 1/2 AB = 1/2 . 250 . 200 = 25000sq units

What is graphs?

Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle.

Here,

Given :

from the graph we can say that -

B = 250

A = 200

Area 0f triangle = 1/2 AB = 1/2 . 250 . 200

Area = 25000sq units

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Host address: 00011011.00111000.11100111.00001010 Subnet mask: 11111111.11111111.10000000.00000000 Write the host address in decimal CIDR notation. 2.What do the words "arithmetician," "spinster," and "countercaster" indicate about how Iago sees Michael Cassio? How has this affected Iago's relationship with Othello? what is the average throughput (in terms of mss and rt t) for this connection up through time = 5 rt t? Help asapreasons historians feel it did not end in the late 1960s?i need four sentences on why which group is the most soluble in water (assuming masses and number of carbons are equivalent)? The height of a cylindrical drum of water is 10 cm and the diameter is 14cm. Find the volume of the drum The figure below is a net for a cube. 3.9 ft What is the surface area of the cube, in square feet? What the meaning of statement this? The base of the pyramid isa square with side lengths of30 inches. The height of thepyramid is 50 inches. Find theslant height PLSSS HELP IF YOU TRULY KNOW THISSS FILL IN THE BLANK The choice on a production possibilities set that is socially preferred, or the choice on an individual's budget constraint that is personally preferred, will display _____________________. What do you think the problem if you created your file in virsion 2016 and later open it in version 2010 for editing? Suppose that a jury pool consists of 27 people, 14 of which are men and 13 of which are women. (a) If the jury must consist of 6 men and 6 women, how many different juries are possible? (b) Again suppose that the jury must consist of 6 men and 6 women. Suppose too that the jurors must be seated so that no two people of the same sex are seated next to each other. How many different seating arrangements are possible? (Note that Im not saying that we know which men and women are on the jury at first. You need to count the number for each possible jury seating for each possible jury.) If the economy grew at a 3% rate this year and average prices increased people would be better off this year than last year 3% faster than 3% less than 3% faster than 10% In the long run the overall price level is mainly determined by: the business cycle. The price of crude oil. changes in the money supply the government's budgetary policies. If a country has a trade deficit, does it indicates that the country has a serious problem? If a country sold more goods and services to the rest of the world than it purchased from the other countries, then the country has a: trade deficit. budget deficit. trade surplus. budget surplus. The purpose of macroeconomic policy is to: bring unemployment closer to the natural rate. reduce the severity of recessions. rein in excessively strong expansions. what is the probability of committing a type i error when = 100? in general, what can be said about the probability of a type i error when the actual value of is less than 0 ? FILL IN THE BLANK Toddlers in the __________ attachment category are less likely to explore any toyswhen the mother is present and they show greater distress when she leaves the room.When she returns, they run to greet her but then push away when she attempts tocomfort or pick them up. ________ calls for testing new product concepts to groups of target consumers.A. Idea screeningB. concept testingC. Product developmentD. Sequential new product developmentE. Test marketing Select the correct text in the passage.Which two sentences in the excerpt suggest that Policles loved quality music?The Contestby Arthur Conan Doyle (adapted excerpt)The blue-clad player struck several chords upon his lyre, and then burst suddenly out into the "Ode of Niobe," and Policles sat straight up on hisbench and gazed at the stage in amazement. The tune demanded a rapid transition from a low note to a high, and had been purposely chosen forthis reason. The low note was a grunting, a rumble, the deep discordant growling of an ill-conditioned dog. Then suddenly the singer threw up hisface, straightened his figure, rose upon his tiptoes, and with wagging head and scarlet cheeks emitted a howl. All the while the lyre twanged andthrummed, sometimes in front of and sometimes behind the voice of the singer. But what amazed Policles most of all was the effect of thisperformance upon the audience. Every Greek was a trained critic, and as unsparing in his hisses as he was lavish in his applause. Many a singerfar better than this absurd fop had been driven from the platform, but now, as the man stopped and wiped the abundant sweat from his face, thewhole assembly burst into a delirium of appreciation. The shepherd held his hands to his bursting head and felt that his reason must be leaving him,for it was surely a dreadful musical nightmare, and he would wake soon and laugh at the remembrance. But no, the figures were real, the faces werethose of his neighbours, and the cheers which resounded in his ears were indeed from an audience which filled the theatre of Olympia. The wholechorus was in full blast, the hummers humming, the shouters bellowing, the tappers hard at work upon the benches, while every now and then camea musical cyclone of "Incomparable! Divine!" from the trained phalanx who intoned their applause, their united voices sweeping over the tumult asthe drone of the wind dominates the roar of the sea. It was madness-insufferable madness! If this were allowed to pass, there was an end of allmusical justice in Greece. Policles' conscience would not permit him to be still. Standing upon his bench with waving hands and up-raised voice, heprotested with all the strength of his lungs against the mad judgment of the audience.nts reserved Elections can only ensure that the leader chosen is ______.a. the most popular on the ballot.b. the most fit to serve.c. going to follow the will of the people. true/false. the net present value of one project can only be directly compare to the net present value of another project if the initial investments are equal.