Please explain the meaning of free semigroup based on the following quote with another explanation that is easier to understand. And give an example?

Answer:

Step-by-step explanation:

[tex]\angle JKH = \angle GFH[/tex] (alternate angles)

[tex]\angle JHK = \angle GHF[/tex]  (vertically opposite angles)

So answer is (A) AA Similarity Postulate.

The number line can be represented as −3.3 < -2 < -1.7 < -0.2 < 0.75 < 1.5 < 4 < 4.2.

Expressiοn estimates shοuld indeed be made οnce variables are mοving that incοrpοrate jοining, disabling, and dividing. Tοgether, they might be able tο οffer a piece οf infοrmatiοn, sοftware, οr an answer tο a puzzle. Fοrmulas, elements, and mathematical equatiοns like adding, deductiοn, cοmbining, and cοmbinatiοn are all fοund in a declaratiοn οf truth. It is pοssible tο evaluate and analyse bοth wοrds and sentences.

Here,

We can shοw the general lοcatiοn οf each number οn a number line by converting them, to decimal value as fοllοws:

3/4   = 0.75

-10/3 = −3.3

4[tex]\frac15[/tex]      = 4.2

-2      = -2

4       = 4

-1.7    = -1.7

-0.2,  = -0.2

150% = 1.5

Now write them in ascending order:

−3.3 < -2 < -1.7 < -0.2 < 0.75 < 1.5 < 4 < 4.2

Now point them in number line and name with their initial values

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That is correct. The restaurant industry is a significant employer in the United States, and many people working in the industry aspire to own their own restaurant someday.

how restaurant works?

However, owning a restaurant requires more than just culinary skills. Successful restaurant owners need to be knowledgeable in business operations, including marketing, finance, and human resources.

Restaurant owners must be able to manage a budget, negotiate with suppliers, market their restaurant, and create a menu that appeals to customers. They must also be able to manage employees and provide excellent customer service. While culinary skills are essential, they are not enough to ensure success in the restaurant industry.

Many successful restaurant owners come from diverse vocational backgrounds and bring valuable problem-solving skills from their education and experience. They may have worked in marketing, finance, or management before starting their own restaurant. Aspiring restaurant owners can benefit from gaining experience in these areas before embarking on their entrepreneurial journey.

In conclusion, the restaurant industry provides many employment opportunities, and many people dream of owning their own restaurant someday. However, successful restaurant ownership requires a combination of culinary skills and business knowledge. Aspiring restaurant owners should gain experience in various areas of business operations and be prepared to work hard to achieve their goals.

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Answer: A bar graph would be the best graphical representation for the teacher's data on students' preferred sports.

Your welcome

The best graphical representation of data is Histogram.

A histogram displays graphically the frequency distribution of a small number of data points for a single variable. Histograms are widely used to organise data into various "bins" or "range groups" and count the number of data points in each bin.

A teacher was curious about the cafeteria fare that pupils at a particular school preferred.

She collected information from 150 pupils at random from the school in order to make an adequate graphical representation of the data.

She ought to use a Histogram for that.

For preferences in cafeteria fare,

The distribution of the data in patterns and trends is shown in the histogram.

Therefore, the best plot is Histogram.

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The extremity of the large hand of the clock moves approximately 1.54 inches in 20 minutes.

How does a clock function ?

The large hand of a clock completes a full rotation in 12 hours, or 720 minutes. This means that it moves 360 degrees in 720 minutes, or 0.5 degrees per minute. Since the length of the hand is 28 inches, we can use trigonometry to find out how far its extremity moves for a certain angle.

Calculating the length that  the extremity of the large hand of the clock moves :

The angle that the large hand moves in 20 minutes can be found by multiplying the number of minutes by the rate at which it moves:

angle = [tex]20 \times 0.5 = 10[/tex] degrees

Using trigonometry, we can find the distance that the extremity of the hand moves by finding the length of the arc of the circle that corresponds to a 10-degree angle, with the radius being 28 inches:

arc length = [tex](angle/360) \times 2 \times \pi \times 28[/tex]

[tex]= (10/360) \times 2 \times \pi \times 28[/tex]

[tex]= 1.54[/tex] inches

Therefore, the extremity of the large hand of the clock moves approximately 1.54 inches in 20 minutes.

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Answer:

-2<2n>-5
I think

Step-by-step explanation:

The function f (x) =0.5(2)ˣ represents the growth in square centimeters of a fungus after X days F (85)

Function:

Function, in mathematics, expression, rule or law that defines the relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics and essential for establishing physical relationships in science.

According too the Question:

Given That:

f (x) =0.5(2)ˣ

(B) When, x= 8

f(8) = 0.5(2) ⁸

    = 128

Therefore, the Function is true.

(c) When, x = 10

f(10) = 0.5 (2)¹⁰

      = 512

That is, the value of functions after 10 days.

Therefore, C is Correct.

(D) when, x = 64

f(64) = 0.5(2)⁶⁴

This functions represents the growth in square centimeters at a function after 64 days not the answer at fungi.

(E) When, x = 85

f(85) = 0.5(2)⁸⁵

The functions represents the growth in square centimeter of a fungi after 85 days x.

Therefore, we choose B and C.

Complete Question:

The function f (x) =0.5(2)^x represents the growth in square centimeters of a fungus after X days F (85)?

Select all that apply: D A f (8) = 1 f (8) 128 f (10) 512 represents the value of the function after 10 days f (64) represents the amount of fungi after 64 days E f (85) represents the amount of days it takes for the fungi to reach 85 cm?'

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Answer: The sum of money shared is 3700.00 php, Y’s share is 740.00 php, and M receives 45% of the total.

Step-by-step explanation:

=1295/7 • 20

=3700

= 1295/7 • 4
= 185(4)

= 740

When the upper limits of a frequency distribution table have a decimal place, the class boundaries are determined by subtracting  [tex]0.5[/tex] From the upper limit.

Frequency is a measure of how often a given event occurs. It is usually measured as the number of times an event occurs over a given period of time.

The class boundaries can be determined by adding or subtracting 0.5 to the upper and lower limits of the class interval, respectively.

For example, if the upper limit of a class interval is 10.5, the class boundary is [tex]10.25 (i.e., 10.5 – 0.5 = 10.25)[/tex]  . This is the same for all class intervals with a decimal place in the upper limit.

The midpoint is the average of the two class boundaries. For example, if the class boundaries of a class interval are 10.25 and 10.75, the midpoint is 10.50 (i.e.,  [tex](10.25 + 10.75) / 2 = 10.50)[/tex] .

The midpoint is also used to calculate the cumulative frequencies and relative frequencies of the grouped data.

For example, if the frequency of the class interval with the class boundaries 10.25 and 10.75 is 15, the cumulative frequency for this class would be 15 (i.e., 15 + 0 = 15). The relative frequency for this class would be 15/30  [tex](i.e., 15/30 = 0.5)[/tex]

Therefore, The midpoint of the class is then calculated by averaging the two class boundaries. The midpoint is used to calculate the cumulative frequency and relative frequency of the class.

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Company should have to manufacturing 2400 garments daily to complete the delivery.

Manufacturing is the process of creating or producing items with the use of resources such as machinery, tools, manpower, chemicals, or biological formulations. It is the core of the economy's secondary sector.

According to Question, Company must deliver an order in 12 days.

And fulfil that order company must manufacture 2000 daily garments.

If they manufacture garment for 12 days then,

= 2000 garments/day  x  12 days

= 24000 garments.

But company suffer a breakdown for 2 days, So effectively they work 10 days. So, Now new daily targets is

= 24000/10 garments/day

= 2400 garments/day

So Company have to manufacture 2400 garments per day.

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Complete Question in English :

A clothing company must deliver an order in 12 days. In order to fulfil the order, he must manufacture 2,000 daily garments. However, it suffers a breakdown that stops production for two (2) days. how many clothes Should you manufacture daily to face this new situation?

The width of the border if the area of the border is the same as the area of the garden is 1 meter

Given that

Dimensions = 4 meters by 6 meters

Let's start by finding the area of the garden:

Area of the garden = length × width

Area = 6m × 4m

Area = 24 square meters

Assumeing that the width of the border is x meters.

This means that the new dimensions are 6 + 2x and 4 + 2x

So, the area of the border is

Border = (6+2x) × (4+2x) - 24

This area is equal to the area od the garden

So, we have

(6+2x) × (4+2x) - 24 = 24

Evaluate

(6+2x) × (4+2x) - 48 = 0

Using a graphing tool, we have

x = 1

Hence, the width is 6 meters

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The function S(n) = 18 + 13 (n - 1) represents the number of seats in a theater with n rows.

What is a function?

A function is a mathematical expression, rule, or law that explains how one independent variable and one dependent variable relate to one another.

We are given a table which shows the number of seats in a theater based on the number of rows.

Now, in order to find the function, we will put n = 5 in the functions

So,

⇒S(n) = 18 + 13 (n - 1)

⇒S(5) = 18 + 13 (5 - 1)

⇒S(5) = 18 + 13 * 4

⇒S(5) = 18 + 52

⇒S(5) = 70

Since, n = 5 satisfies the equation so, it correctly represents the number of seats in the theater.

Hence, the function S(n) = 18 + 13 (n - 1) represents the number of seats in a theater with n rows.

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The complete question has been attached below.

Answer:

1320

Step-by-step explanation:

To find the number of ways to select a secretary, vice-president, and treasurer from a group of 12 candidates, we can use the permutation formula:

=> nPr = n! / (n - r)!

where n is the total number of candidates, and r is the number of positions to fill (in this case, r = 3).

Plugging in the values, we get:

12P3 = 12! / (12 - 3)!

=> 12! / 9!

=> 12 x 11 x 10

=> 1320

Hence, there are 1320 ways to select a secretary, vice-president, and treasurer from 12 candidates.

11,880 different ways that the 4 new division heads could be appointed from the eligible pool of 12 managers.

what are permutations?

Permutations are the different ways that a set of objects can be arranged in a specific order. In mathematics, the number of permutations of a set of n objects is given by the factorial of n, denoted as n!, which is the product of all positive integers from 1 to n.

There are 12 eligible managers who can be appointed as the head of each division.

For the first position of VP Social Media, there are 12 choices of managers. For the second position of VP Inventory Management, there are 11 choices remaining (since one manager has already been chosen for the first position). Similarly, for the third position of VP Corporate Social Responsibility, there are 10 choices remaining, and for the fourth position of VP Logistics, there are 9 choices remaining.

Therefore, the total number of different ways that the 4 new division heads could be appointed is:

12 x 11 x 10 x 9 = 11,880

Therefore 11,880 different ways that the 4 new division heads could be appointed from the eligible pool of 12 managers.

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Answer:

0.333

Step-by-step explanation:

After answering the given query, we can state that  the area of the rectangular garden [tex]rectangular_area = rectangular_area plus 112\\[/tex]

In Euclidean mathematics, a rectangle is a parallelogram with four small angles. Another way to characterize it is as a basic rule-following hexagon or one with equal angles. Another choice for the parallelogram is a straight angle. Four of the vertices in a rectangle have the same length. Four vertices with 90° angles and identical parallel sides make up a quadrilateral with a rectangle-shaped cross section. This leads to it being known as a "equirectangular rectangle" at times. A rectangle is occasionally referred to as a parallelogram because its two edges are so equal and parallel to one another.

Let's use the letters "l" and "w" to denote the garden's length and breadth, respectively. Then, we are aware of:

[tex](l + 2)^2 = lw - 50\\l^2 + 4l - lw - 46 = 0\\area_rectangular - 46 - l2 + 4l = 0\\l = (-4 (4(area_rectangular + 46) + 16)) / 2)\\l = (area_rectangular plus 62) – 2\\(Area_rectangular + 62) equals l - 2\\(l + 2)^2 = lw - 50[/tex]

[tex]Area_rectangular +62 /by 2=lw -50\\square_area = (l + 2)2 + 50\\rectangular_area = ((rectangular_area + 62))/2 + 50\\rectangle_area = rectangle_area + 62 + 50\\rectangular_area = rectangular_area plus 112\\[/tex]

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Answer: X= 5

Step-by-step explanation:

AB is greater than BC, or in other words, AB > BC.

A triangle is a closed two-dimensional geometry with three angles that has three sides. It is a fundamental geometric shape that is frequently studied in mathematics. Triangles can be categorized based on the size of their angles and the length of their sides. Triangles typically come in the following forms: A triangle with three equal sides and three equal angles is called an equilateral triangle (60 degrees each). Triangle having two equal sides and two equal angles is called an isosceles triangle.

By the triangle angle sum theorem, the sum of the angles in triangle CBD is 180 degrees. Therefore, we can find the measure of angle BCD by subtracting the measures of angles BDC and BCD from 180 degrees:

BCD = 180 - 70 - ∠CBD

BCD = 110 - ∠CBD

Since triangles ABD and CBD share the side BD, angles ABD and CBD are adjacent angles that add up to angle ABC. Therefore:

ABD + CBD = ABC

Substituting 110 - ∠CBD for angle BCD in the equation above, we get:

ABD + (110 - ∠CBD) = ABC

Rearranging the terms, we get:

ABD = ∠CBD + ABC - 110

Since the sum of angles in a triangle is 180 degrees, we have:

ABD + ADB + ∠BAD = 180

Substituting ABD = ∠CBD + ABC - 110 and simplifying, we get:

∠CBD + ABC - 110 + ADB + ∠BAD = 180

Simplifying further, we get:

2∠CBD + 2∠ABC - 220 = 180

Dividing by 2, we get:

∠CBD + ∠ABC - 110 = 90

Rearranging the terms, we get:

∠ABC - ∠CBD = 20

Since angles ABC and CBD are both acute angles (less than 90 degrees), we have:

∠ABC > ∠CBD

Therefore, AB is greater than BC, or in other words, AB > BC.

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Answer:

AB > BC

Step-by-step explanation:

Using addition, we can find that the no. of seedlings that have a height of 1/8 inch more than 5/8 inch is 3 as per the plot diagram.

The act of merging two or more objects is known as addition. Mathematicians make use of addition to compute the sum of two or more numbers.

It is a fundamental mathematical procedure that is used all the time in real-world situations. We frequently utilise addition when dealing with money, figuring out how much food we will need, or measuring time.

Now in the given question,

1/8 in taller than 5/8 inches means that the actual height is:

1/8 + 5/8

= 1+5/8

= 6/8

= 3/4

Now the no. of seedlings that have a height of 1/8 inch more than 5/8 inch is 3 as per the plot diagram.

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The series of transformations that move the blue figure to the red figure are:

Transformations refer to changes made to a geometric figure's size, position, orientation, or shape in a plane or in space. These changes can be achieved by applying mathematical functions or formulas to the coordinates of the vertices of the geometric figure.

Translation through a vector is a type of transformation where a geometric figure is moved to a new location. This happened when ABCD was moved via a vector of ( 0, - 3 ) to A'B'C'D.

Reflected across the y-axis is another type of transformation where a geometric figure is reflected across the y - axis which is how A'B'C'D became A"B"C"D" which then shows the blue figure being mapped into the red figure.

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Step-by-step explanation:

A cube has equal sides ....

volume = s  x  s  x  s  = 343 cm^3

                  then s^3 = 343

                                s = 7 cm

then the perimeter of one side would be 7 + 7 + 7 + 7 = 28 cm

[tex]\begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ log_a a^x = x\qquad \qquad \stackrel{ \textit{we'll be using this one} }{a^{log_a (x)}=x} \end{array} \\\\[-0.35em] ~\dotfill\\\\ 10+\log(9x+19)=9\implies \log_{10}(9x+19)=-1\implies 10^{\log_{10}(9x+19)}=10^{-1} \\\\\\ 9x+19=10^{-1}\implies 9x+19=\cfrac{1}{10}\implies 9x=\cfrac{1}{10}-19 \\\\\\ 9x=-\cfrac{189}{10} \implies x=-\cfrac{21}{10}[/tex]

Answer: x = $1.75

Step-by-step explanation:

Let's assume that the cost of each sparking plug is x dollars. Then, the cost of the fan belt is x + $1.75 since it costs $1.75 more than each sparking plug.

According to the problem, the total cost of four sparking plugs and a fan belt is $10.50. We can express this as an equation:

4x + (x + $1.75) = $10.50

Simplifying and solving for x, we get:

5x + $1.75 = $10.50

5x = $8.75

x = $1.75

Therefore, each sparking plug costs $1.75 and the fan belt costs $3.50 ($1.75 + $1.75).

Answer:

y = 6x - 21

Step-by-step explanation:

When a line is parallel, this means it has the same slope. This means that the y intercept can be literally any number besides -7 (because a line cannot be parallel to itself).

Because we do not have a y intercept, we will have to write this equation in point slope form and convert it into slope intercept form.

We know that the slope is 6, so we just fill in the points for y1 and x1.

[tex]y-9=6(x-2)[/tex]

Distribute 6

[tex]y-9=6x-12[/tex]

Add 9 to both sides

[tex]y=6x-21[/tex]

And that's the equation in slope intercept form!

Answer:

D(-9,7)

Step-by-step explanation:

Multiplying Exq 2 by 2,  2x+4y=10-(exq 3)

Subtracting 1 from 3,

2x+4y-2x-3y= 10-3

y=7

Substitue y=7 in 1,

2x+3(7)=3

2x= 3-21

2x=-18

x=-9

x=-9 and y =7

Step-by-step explanation:

21x - 12x < 54

We can simplify the left-hand side by combining like terms:

9x < 54

Then, we can isolate x by dividing both sides of the inequality by 9:

x < 6

Therefore, the solution to the inequality is:

x < 6

Answer:

33.33

because the house was painted 2/3 if 100 divided by 2/3 then the answer will be 33.33