I need to know before I can perform a rotation.

the size of the coordinate plane

the degree of rotation

which way to flip the point, line, or figure

which way to slide the point, line, or figure

A and B have the same elements, the measure of AUB will be equal to the measure of B.

To show that if m*(A) = 0, then m*(AUB) = m*(B), we need to prove the following:
1. If m*(A) = 0, then A is a null set.
2. If A is a null set, then AUB = B.
3. If AUB = B, then m*(AUB) = m*(B).
Let's break down each step:
1. If m*(A) = 0, then A is a null set:
  - By definition, a null set has a measure of 0.
  - Since m*(A) = 0, it implies that A has no elements or its measure is 0.
  - Therefore, A is a null set.
2. If A is a null set, then AUB = B:
  - Since A is a null set, it means that it has no elements or its measure is 0.
  - In set theory, the union of a null set (A) with any set (B) results in B.
  - Therefore, AUB = B.
3. If AUB = B, then m*(AUB) = m*(B):
  - Since AUB = B, it implies that both sets have the same elements.
  - The measure of a set is defined as the sum of the measures of its individual elements.
  - Since A and B have the same elements, the measure of AUB will be equal to the measure of B.
  - Therefore, m*(AUB) = m*(B).
By proving these three steps, we have shown that if m*(A) = 0, then m*(AUB) = m*(B).

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Answer:

To get the circumference, multiply the diameter by pi.  You have the diameter in meters, and you were given an approximate value of pi.  Multiply these 2 numbers, and get the circumference in meters.

Step-by-step explanation:

Answer:

144π or about 452.39

Step-by-step explanation:

Diameter = 24 meters

Radius = diameter/2 = 12 meters

Area of a circle = π*radius*radius = π*radius^2

Area = π*12^2 = 144π = 452.39

Answer:

thats not a question

Step-by-step explanation:

Answer:

31,564

Step-by-step explanation:

82,062 - 50,498 = 31,564

The expression as a single real number is \(\frac{1-\sqrt{3} }{2}\) .

What is trignomentry ?

Trigonometry is a branch of mathematics that deals with the relationships between the angles and sides of triangles, particularly right triangles. It is used to study the properties of triangles and to solve problems involving angles and distances in two-dimensional space.

sin(π/6)cos(π/2) - cos(π/60)sin(π/2)

The first term in the expression, sin(π/6)cos(π/2), can be simplified as follows ,

sin(π/6) = √(3)/2, cos(π/2) = 0

so sin(π/6)cos(π/2) = (√(3)/2) * 0 = 0

The second term in the expression, -cos(π/60)sin(π/2) , can be simplified as follows ,

sin(π/2) = 1, cos(π/60) = sqrt(3)/2 - 1/2

so -cos(π/60)sin(π/2) = -(sqrt(3)/2 - 1/2) * 1 = -sqrt(3)/2 + 1/2

Now we can substitute the simplified values back into the original expression ,

0 - (-sqrt(3)/2 + 1/2)

and combining like terms, \(\frac{1-\sqrt{3} }{2}\),

Hence ,  The expression as a single real number is \(\frac{1-\sqrt{3} }{2}\) .

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The maximum sustainable harvest for the given function is 4.5.

To find the maximum sustainable harvest, we need to maximize the function H = f(S) - S, where f(S) = (1/18)S^2.

To find the maximum, we differentiate H with respect to S and set it equal to zero:

dH/dS = d/dS[(1/18)S^2 - S] = (1/9)S - 1 = 0

Simplifying the equation, we have:

(1/9)S = 1

Multiplying both sides by 9, we find:

S = 9

Now, to find the maximum sustainable harvest, we substitute S = 9 into the harvest function:

H = f(S) - S = (1/18)(9^2) - 9 = 81/18 - 9 = 4.5

Therefore, the maximum sustainable harvest for the given function is 4.5.

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Answer:

800 m^2

Step-by-step explanation:

= 1250 - 450

= 800 m^2 est la superficie de la terre de M. Vergne

j'espère que ma réponse t'aidera.

Answer:

y= -5

Step-by-step explanation:

The area of the rectangle having three identical circles inside is calculated as: (16√3 + 32) mm².

Area of rectangle = (length)(width)

The image of the three identical circles in the rectangle has been labelled as shown in the diagram attached below.

We need to find the measure of the length and width of the rectangle.

Radius = AB = BD = DF = FG = CD = HI = 2 mm

Length of the rectangle = AB + BD + DF + FG = 2 + 2 + 2 + 2

Length of the rectangle = 8 mm

Width of the rectangle = CD + DH + HI

CD = 2 mm

HI = 2 mm

Use the Pythagorean theorem to find the measure of DH

DH = √(FH² - DF²)

FH = 2 + 2 = 4 mm

DF = 2 mm

Substitute

DH = √(4² - 2²)

DH = √(16 - 4)

DH = √12 = 2√3 mm

Width of the rectangle = CD + DH + HI = 2 + 2√3 + 2

Width of the rectangle = 2√3 + 4

Area = (2√3 + 4)(8)

Area = (16√3 + 32) mm²

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Answer:

19

Step-by-step explanation:

A' represents everything out A

B' represents everything out B

C' represents everything out C

So only the outside is left hope this helps

Answer:

x = 128

Step-by-step explanation:

Adjacent angles - Angles right next to each other. They share a common vertex

Vertical angles - angles that are vertically aligned with each other.

The angle that has a measure of 128 degrees and x are vertical angles

If you didn't know vertical angles are congruent so because one angle equals 128 degrees the other equals 128 degrees

x = 128

The given angle are the vertical angles and the measure of the angle x is 128°.

Given that,
To specify whether the angles are adjacent or vertical. Then find the value of x.

orientation of one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,
By the observation, angle x and 128° are the vertical angles and by the property of the intersection of the line both are equal angles so the measure of angle x is also equal to 128°.

Thus, the given angle is the vertical angle and the measure of the angle x is 128°.

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Adam is 4 years old.

It will take 50 seconds for 50 printers to print out 50 pages of paper.

Given that the ages of Mark and Adam add up to 28 years in total, and Mark is 20 years older than Adam.

We are supposed to find Adam's age.

Age of Adam = A
Age of Mark = A + 20
Sum of their ages = 28A + (A + 20) = 28
Therefore, 2A + 20 = 28
Therefore, 2A = 8
Therefore, A = 4

Therefore, Adam is 4 years old.

Now let's move to the second question.
Let the time taken to print 50 pages be T seconds. Number of printers = 50
Time taken to print 50 pages = T
Therefore, time taken to print 1 page = T/50
Number of printers = 10
Time taken to print 10 pages = 10
Time taken to print 1 page = 1

T/50 = 1

Therefore, T = 50

Hence, it will take 50 seconds for 50 printers to print out 50 pages of paper.

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Answer:

6x + 2y

Step-by-step explanation:

6x + 4y - 2y =

6x + 2y

Hope that helps!

After the 6-for-1 stock split, the stock price will be $16.41 per share, assuming no market imperfections or tax effects.

A stock split is a process in which a company increases the number of shares outstanding while proportionally reducing the price per share. In this case, the company plans a 6-for-1 stock split, which means that for every existing share, shareholders will receive six new shares.

To determine the post-split stock price, we divide the original stock price by the split ratio. The original stock price is $98.48, and the split ratio is 6-for-1. Therefore, we calculate:

$98.48 / 6 = $16.41

Hence, after the 6-for-1 stock split, the stock price will be $16.41 per share. This means that each shareholder will now hold six times more shares, but the value of their investment remains the same.

It is important to note that in practice, market imperfections, investor sentiment, and other factors can influence the stock price after a split. However, assuming no market imperfections or tax effects, the calculated value of $16.41 represents the theoretical post-split stock price.

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Answer: answer

Step-by-step explanation:

I need points. I hope you understand

Answer: Yes

Step-by-step explanation: its kind of hard to explain

Answer:

I think it is A. This image shows a rectangular grid divided in two parts by a vertical line above which number 250 is written in centre. Left side has 182 and right side has question mark.

Answer:

(x + 6)(x + 7)

Step-by-step explanation:

To factor the trinomial x^2 + 13x + 42, we need to find two numbers that multiply to 42 and add up to 13.

One way to do this is to list all the pairs of factors of 42 and see which pair adds up to 13:

1, 42 -> 1 + 42 = 43

2, 21 -> 2 + 21 = 23

3, 14 -> 3 + 14 = 17

6, 7 -> 6 + 7 = 13

So the pair of factors that we want is 6 and 7. We can use these numbers to rewrite the middle term of the trinomial:

x^2 + 13x + 42 = x^2 + 6x + 7x + 42

Next, we can group the first two terms and the last two terms:

x^2 + 6x + 7x + 42 = (x^2 + 6x) + (7x + 42)

Now, we can factor out the greatest common factor from each group:

x(x + 6) + 7(x + 6)

Notice that we have a common factor of (x + 6) in both terms. We can factor this out:

(x + 6)(x + 7)

A. The raw score for a percentile rank of 80 is approximately 82.4.

B. The raw score that falls at the 93rd percentile is 114.324.
C. The score that falls at the 11th percentile is 30.93.

D. The raw score that would be equivalent to a percentile rank of 29 is 79.20.

E. The raw score that falls at the 95th percentile is 99.75.

F. The value of the equivalent raw score is 74.17.

A. To calculate the raw score for a percentile rank of 80 first convert percentile rank to a z-score using the standard normal distribution table or a calculator.

The z-score corresponding to a percentile rank of 80 is approximately 0.84.

Then use the z-score formula to find the corresponding raw score.

z = (x - μ) / σ where, x is the raw score, μ is the mean, and σ is the standard deviation.

Plugging in the given values, we get:

0.84 = (x - 75) / 10

Solving for x, we get:

x = (0.84)(10) + 75 = 82.4

Therefore, the raw score for a percentile rank of 80 is approximately 82.4.

B. We can calculate the z-score from the percentile rank:

PR = 93

=> area to the left of z-score is 0.93.

Using the standard normal distribution table, the corresponding z-score is 1.48.
z = (x - μ) / σ

=> 1.48 = (x - 105) / 6.30

=> x = 105 + 1.48 * 6.30 = 114.324.
Therefore, the raw score that falls at the 93rd percentile is 114.324.

C. Similar to part A, we can calculate the z-score from the percentile rank:

PR = 11

=> area to the left of z-score is 0.11.

Using the standard normal distribution table, the corresponding z-score is -1.23.

z = (x - μ) / σ

=> -1.23 = (x - 38.70) / 6.31

=> x = 38.70 - 1.23 * 6.31 = 30.93.
Therefore, the score that falls at the 11th percentile is 30.93.

D. We can calculate the z-score from the percentile rank:

PR = 29

=> area to the left of z-score is 0.29.

Using the standard normal distribution table, the corresponding z-score is -0.54.
z = (x - μ) / σ

=> -0.54 = (x - 90) / 20

=> x = 90 - 0.54 * 20 = 79.20.
Therefore, the raw score that would be equivalent to a percentile rank of 29 is 79.20.

E. Similar to part A and C, we can calculate the z-score from the percentile rank:

PR = 95

=> area to the left of z-score is 0.95.

Using the standard normal distribution table, the corresponding z-score is 1.65.

z = (x - μ) / σ

=> 1.65 = (x - 75) / 15

=> x = 75 + 1.65 * 15 = 99.75.

Therefore, the raw score that falls at the 95th percentile is 99.75.

F. T-score is calculated as:

T = 10z + 50, where z is the z-score corresponding to the raw score.

26 = 10z + 50 => z = (26 - 50) / 10 = -2.4.

z = (x - μ) / σ => -2.4 = (x - 110) / 14.93 => x = 110 - 2.4 * 14.93 = 74.17.

Therefore, the value of the equivalent raw score is 74.17.

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Answer:

1) 5°: 5 is halfway from 0 and 10

2) 5°: 5 is halfway through -5 and 15

3)-5°: -5 is halfway through 5 and -15

4)0°: 0 is halfway through -8 and 8

Answer:

1.5° F

2.5°F

3.-5°F

4.0°F

Step-by-step explanation:

yes,

as AB = CD Which means both their values are same

CD = EF ( which also means their values are same)

as, AB have same values as CD and EF also have same values as CD so,

AB = EF.

hope this answer helps you dear take care!

ANSWER :

1/8

EXPLANATION :

From the problem, there are 8 married couples in a tennis club.

There are 8 men and 8 women.

The total number of outcomes is the product between the number of first picks and the number of second picks.

For the first pick, we need to pick a man and there are 8 choices.

For the second pick, we need to pick a woman and there are 8 choices.

So the total outcome will be 8 x 8 = 64

Now, getting the probability of picking 1 man and 1 woman that are married to each other.

For the first pick, we have 8 choices for men, so we have 8.

For the second pick, we only have 1 choice over 8 women, since the woman must be married to the man, so we have 1.

That will be 8 x 1 = 8

The probability is the quotient between the required picking divided by the total number of outcome.

That will be :

8/64 = 1/8

The answer is 1/8

Answer:

Option B

Step-by-step explanation:

The number line divided in 10 parts in between 0 and 1

The 0.45 is represented by point B

Answer:

It's B miss.

Step-by-step explanation:

Formulas are already included that will calculate the totals for you.

Answer:

Answer

a Geometry :- shapes Are composed of regular lines and curves

b Organic shapes:- Unpredictable, irregular lines that suggest the natural world. Chaotic and unrestrained.

c Texture :-The surface quality of a work of art , for example coarse/fine detailed/lacking details

right answer organic..

i hope this helps you (⁠ ⁠◜⁠‿⁠◝⁠ ⁠)⁠♡

Therefore, An unpredictable and irregular shape is called an organic shape.

These shapes often mimic the forms found in nature, such as the shape of a leaf or a tree branch. Organic shapes lack the symmetry and geometric precision of their counterpart, the geometric shape. In art, organic shapes are commonly used to create a sense of movement, flow, and naturalism in a composition. In design, organic shapes can add visual interest and break up the monotony of straight lines and sharp angles. To sum up, the type of shape composed of unpredictable, irregular lines is an organic shape.

Therefore, An unpredictable and irregular shape is called an organic shape.

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Deb had 2 3/4 pounds of blueberries. Deb let her friend clarence eat 1/4 of the blueberries. Clarence ate 0.6875 pounds of blueberries.

To find out how many pounds of blueberries Clarence ate, we need to first convert the 2 3/4 pounds to a decimal. We can do this by dividing the numerator (3) by the denominator (4) and adding the result to the whole number (2).

2 3/4 pounds = 2 + (3/4) = 2 + 0.75 = 2.75 pounds

Now we know that Deb had 2.75 pounds of blueberries. To find out how many pounds of blueberries Clarence ate, we need to multiply this amount by the fraction of blueberries he ate (1/4).

2.75 pounds x 1/4 = 0.6875 pounds

So Clarence ate 0.6875 pounds of blueberries.

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Answer:

534,000

Step-by-step explanation:

12 days pass from may 10 to may 22 so we replace x with 12

190,000(1.09)^12
190,000(2.81266)

534406.309

But rounded to the nearest thousands

534,000

Hopes this helps please mark brainliest

The correct statement is- Once the Compromise of 1850 was passed, Northerners and Southerners readily accepted its terms, putting their suspicions to rest.

The statement describes how both Northerners and Southerners were suitable to fluently accept the terms of the concession of 1850 and put their reservations to rest after its end. The Concession of 1850 was a series of legislative measures aimed at resolving the growing pressures between the Northern and Southern countries of the United States over issues similar to slavery and the balance of power.

The statement suggests that the terms of the concession were satisfactory to both sides, allowing for a sense of agreement and resolution. It implies that the concession addressed the enterprises and interests of both Northerners and Southerners, leading to their amenability to accept it. By accepting the concession and its terms, both regions were suitable to palliate their reservations or dubieties, potentially reducing pressures between them.

This statement highlights the significance of the concession of 1850 in furnishing a temporary resolution to the contentious issues of the time, indeed though these issues would latterly contribute to the raising conflicts that ultimately led to the American Civil War.

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By solving a simple linear equation, we will see that there are 1666667 grains of salt on 100 grams

We want to see how many grains of salt would be in 100 grams, only by knowing that the mass of a salt grain is 0.06 mg

Where:

1mg = 0.001g

Then the mass of x grains of salt, is given by the function below:

m(x) = x*0.06 mg

m(x) = x*0.00006 g

Now we want to find the value of x such that the mass is 100 grams, then we can write the equation:

x*0.00006 g = 100g

Solving that equation for x, we will get:

x = 100g/0.00006 g

x = 1666667

So there are about 1666667 grains of salt on 100 grams of salt.

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The expression that correctly represents Adam’s finance charge is D. 18x - 0.08y.

Given that Adam bought a treadmill and a dirt bike from a sports equipment store for y dollars. He signed an installment agreement requiring an 8% down payment and monthly payments of x dollars for 18 months.

Down payment: 8% of y = 0.08y

Finance Charge = total amount paid - total cost of equipment

Total amount paid = down payment + monthly payments x number of months

Down payment = 0.08y

Monthly payment = x

Number of months = 18

Total amount paid = (0.08y + 18x)

Total cost of equipment = y

Hence, finance charge = (0.08y + 18x) - y = 18x - 0.08y

Therefore, the correct expression that represents Adam’s finance charge is D. 18x - 0.08y.

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