We defined the operation of concatenation for sets of strings on p. 10, AB = { XY | X ∈ A and y ∈ B}Are the regular sets closed under concatenation? That is, if A and B are regular sets, is AB guaranteed to be a regular set? Prove or show a counterexample.

Answers

Answer 1

Answer and Explanation:

Solution: The operation of concatenation for a set of string on p. and the set is

     AB = {XY | X ∈ A and y ∈ B}.

We need to satisfy all these following properties to find out the standard set is closed under concatenation.

1- Union of two standard sets also belongs to the classic collection. For example, A and B are regular. AUB also belongs to a regular group.

2- Compliment of two standards set A and B are A’ and B’ also belonging to the standard set.

3- Intersection of two standards set A and B is A∩B is also a regular set member.

4- The difference between two regular sets is also standard. For example, the difference between A and B is A-B is also a standard set.

The closure of the regular set is also standard, and the concatenation of traditional sets is regular.


Related Questions

There are 7 men and 3 women on a coed volleyball team. Two of them will be randomly selected to play in a two-person-team tournament in Santa Cruz. You might wish to sketch a tree diagram on scratch paper to help answer the following. Express your answers as fractions as you find the probability that the two selected students are…
(It might be helpful to print this out, and work it out on paper putting a tree diagram in the space provided below.)

a) …both men.
b) …one man and one woman.
c) …both women
d) …the same gender.

Answers

B is the correct answer my boy

The probability that the two selected students for  both men,1 men and 1 Women, Both are women , Both are women and The same gender are 7/15,7/15 ,1/15 and 8/15 respectively.

It is required to find the probability.

What is probability?

probability is the ratio of the number of favorable outcomes and the total number of possible outcomes. The chance that a particular event (or set of events) will occur expressed on a linear scale from 0(impossibility) to 1 (certainty), also expressed as a percentage between 0 and 100%.

Given:

There are 7 men and 3 women on a coed volleyball team.

We have to find the probability.

According to given question we have

Possibilities are

both men= 7c2=[tex]\frac{7!}{2!5!} =21[/tex]

1 men and 1 Women=7c1*3c1

                            =[tex]\frac{7!}{6!1!} *\frac{3!}{2!1!} =21[/tex]

Both are women=3c2=

[tex]\frac{3!}{2!1!} =3[/tex]

The same gender=7c2+3c2

                              =21+3=24

Total possibilities =10c2

                              =45

The probabilities are

A) both men=21/45=7/15

B)1 men and 1 Women=21/45=7/15

C) Both are women==3/45=1/15

D)The same gender=24/45=8/15

Therefore, the probability that the two selected students for  both men,1 men and 1 Women, Both are women , Both are women and The same gender are 7/15,7/15 ,1/15 and 8/15 respectively.

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What is the value of y?

Answers

This triangle is isosceles. The bottom 2 angles are the same.

180= 54+2y

126=2y

y=63

Answer:follow key h!gh on tik tok

Step-by-step explanation:

You ask your dad or mom os search it on google also follow key_h1gh on tok tok㏒ₓₓₓ

Let g(x) = 3x + 7 and h(x) = x + 8.
(hog)(x)

Answers

Step-by-step explanation:

(hog)(x) = h(g(x))

= h(3x + 7)

h(x) = x + 8

h(3x + 7) = 3x + 7 + 8

h(3x + 7) = 3x + 15

(hog)(x) = 3x + 15

what is the product of 38x67

Answers

Answer:

2546

Hope this helps

Which table represents y as a function of x?
Look at the image! Pls hurry! Due in 15 mins!

Answers

Answer:

Top Right!!! hope I answered on time!!

Dana is tying 18 bows onto gift baskets each bow uses 4 feet of ribbon does Dana need to make all the bows

Answers

Answer:

Dana needs 72 feet of ribbon to make all the bows

Step-by-step explanation:

If she needs to make all the bows, she needs a total of:

18 times 4 feet = 18 * 4 = 72 feet of ribbon

one positive number is 4 times another number. the difference between the two numbers is 129. find the numbers

Answers

Answer:  The numbers are 172  and 43

Step-by-step explanation:

We will represent the numbers by x and y  

where x is the positive number and y is the other number.

So x the positive number is 4 times the other number which could be represented by the equation x = 4y  

And the difference between x and y is 129  which could also be represented by the equation  x - y = 129  

Now use both equations to solve for y and x  

x = 4y  

x-y = 129   Substitute the value for x into the second equation

4y - y = 129

 3y = 129  

   y =  43  so we know that y is 43  and  x is 4 times it

x = 4(43)

x= 172  

So the numbers are 172 and 43 .

Check:

172 - 43 = 129

   129 = 129

Area can be defined as the number of cubic units it takes to fill the inside of a
polygon.

•True
•False

Answers

Answer:

False

Step-by-step explanation:

Area is the number of square units it tales to fill the inside of a polygon.

False good luck on homework

7. (7.36) Batman wants to buy a new belt that cost
$211 but he only has $112.45. How much more
money does he need to buy the belt?

Answers

Answer:

$98.55

Step-by-step explanation:

Answer:

he has to pay 108.55

Step-by-step explanation:

please help i don't understand this one i appreciate anyone who helps :) Solve for x. 7x - 3/8 = 6x -

Answers

Answer:

x = 3/8

Step-by-step explanation:

How many zeros are in the standard form of 107? Write this number in standard form.​

Answers

Answer:

Step-by-step explanation:

10^7 = 10,000,000

Answer:

1

Step-by-step explanation:

the standard form of 107 is 107, which has 1 zero.

i think thats right

in the early spring the trout at big blue Lake Swim at a deph of 30 feet below sea level when the lake warms up in the summer the trout with 20 feet deeper than that at what position relative to sea-level do the trout swim in the summer?​

Answers

Answer:

-50 feet

Step-by-step explanation:

The trout is swimming 30 ft below sea level,if it were above sea level it would be positive but since its below it is negative. It then swims 20 feet lower so it would be -50 as a short cut you can use in problems like this one is to ignore the sign's and add it regularly then add the sign after the equation is done.

Answer:

-50 is the answer

Step-by-step explanation:

Convert to slope intercept form
y-3=-2(x+4)

Answers

Answer:

Step-by-step explanation:

y - 3 = -2x -8

y = -2x - 5

Which expression is equivalent to 3(5x-4)

Answers

15x-12 that is the answer to the question

An expression that is equivalent to 3(5x-4) is: D. 15x-12.

What is the distribution property of multiplication?

The distributive property of multiplication states that when the sum of two (2) or more addends are multiplied by a given numerical value or factor, the same output would be produced as when each addend is multiplied respectively by the numerical value or factor, and the products are added together.

Mathematically, the distributive property of multiplication is given by this expression:

a(b + c) = ab + ac.

By applying the distributive property of multiplication to the given expression, we have:

3(5x - 4) = 3(5x) - 3(4)

3(5x - 4) = 15x - 12

Therefore, the correct answer option is: D.) 15x - 12.

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Complete Question:

Which expression is equivalent to 3(5x-4)

A 8x-4

B 8x-1

C 15x-4

D 15x-12

what the answerr please​

Answers

Answer:

B

Step-by-step explanation:

Rise over run

Consider the equation 3x + 90 + 2x = 360 how do we solve this?

Answers

Answer:

54

Step-by-step explanation:

First add like terms: 5x+90=360

Then subtract 90 from both sides: 5x=270

Then divide both sides by 5: x=54

ITS EASY PLS HELP !!!

Answers

Answer:

14/9

Step-by-step explanation:

HELP pLzZZ IT IS DUE IN a FEW MINUTES AND I CANT FIGURE IT OUT!!!!!
What is the unit rate.
of 5/8 mile in 1/4 hour

Answers

Answer:

Hey there!

If someone travels 5/8 mile in 1/4 hour, then in 1 hour, they can travel 20/8, or 5/2 miles.

The unit rate is: 5/2 mile per hour.

Hope this helps :)

Answer: 5/2 = m

Step-by-step explanation:

hope this helpsss brainleist if wanna

What two whole numbers is 11/2 Between
a. 1 and 2
b. 4 and 5
Selected:c. 2 and 3This answer is incorrect.
d. 3 and 4

Answers

Answer: b. 4 and 5.

220/100=22 tenths=2 ones 2=tenths=

Answers

A person with a hat who knows all about that don’t rock that sat with a cat in a hat knows all about that

How to solve quadratic equations by graphing ??

Answers

Answer:

Well if we were to graph this quadratic equation. We would be looking for places on that graph where Y is equal to zero. Well those are places where the graph crosses the x axis.

Step-by-step explanation:

Answer:

find pointsplot themdraw a curve through themidentify the x-intercepts

Step-by-step explanation:

You graph a quadratic the way you graph any equation.

First you make a table of points. Then you plot those points on a graph. Finally, you draw a smooth curve through the points you have plotted.

The solution is generally where the graph crosses the x-axis, depending on what you're graphing.

__

We assume you want to graph an equation of the form ...

  y = ax^2 +bx +c

Often, we are interested in the values of x that make y = 0. Sometimes, we want other solutions, for example, the one(s) that make y = 194. That is why I say "depending on what you're graphing" in the text above.

__

For a quadratic, it is helpful to start at the line of symmetry. The line of symmetry for this equation is the vertical line at ...

  x = -b/(2a)

The graph will be symmetrical about this line. Points on either side of this line will be the same distance from it.

So, once you find the x-value for this line of symmetry, you evaluate the quadratic for that value of x. The resulting y-value will be the y-value of the vertex, the most extreme point on the curve. If a>0, it will be the lowest point on the curve. The curve will open upward from there. If a < 0, it will be the highest point on the curve, which will open downward.

__

Another point you can plot is the y-intercept. The value of that is 'c' in the above equation, so (0, c) is a point on the curve. Of course, another point on the curve is found where this one is reflected across the line of symmetry.

__

Personally, I usually find it convenient to choose values of x that differ from the line of symmetry by 1, 2, 3, or some other small integer value. You will find for these values of x, the corresponding y-values differ from the vertex by a, 4a, 9a. Of course, for some quadratics, it is appropriate to choose a different set of points than these.

_____

Worked-out Example

Consider ...

  y = 2x^2 -x -6

The values of a, b, c are: a=2, b=-1, c=-6.

One point you can graph right away is the y-intercept: (0, -6).

The line of symmetry is ...

  x = -b/(2a) = -(-1)/(2(2)) = 1/4

The corresponding value of y is ...

  y = 2(1/4)^2 -1(1/4) -6 = 2/16 -1/4 -6 = -(6 1/8)

So, the vertex of this graph is (1/4, -6 1/8).

As we noted above, we can add points at ±1, ±2, ±3 from the vertex fairly easily.

For x = 1/4 ±1, y will be -6 1/8 +2(1^2) = -4 1/8. So, two more points are ...

  (1 1/4, -4 1/8) and (-3/4, -4 1/8)

For x = 1/4 ±2, y will be -6 1/8 +2(2^2) = 1 7/8. So, two more points are ...

  (2 1/4, 1 7/8) and (-1 3/4, 1 7/8)

You will notice that the graph crosses the x-axis between -3/4 and -1 3/4, and also between 1 1/4 and 2 1/4. You might reasonably guess that values of x of 2 or -1 1/2 would give y-values of zero. You would be right.

For x=2, we have ...

  y = 2(2^2) -(2) -6 = 8 -2 -6 = 0

For x = -1.5, we have ...

  y = 2(-1.5)^2 -(-1.5) -6 = 2(2.25) +1.5 -6 = 4.5 +1.5 -6 = 0

So, the solutions are also points on the graph:

  (2, 0) and (-1.5, 0)

_____

Additional comment

Graphing calculator apps are available for smartphones, tablets, and desktop computers. I personally like to use one of those for making graphs of equations. One that is reasonably easy to learn is shown in the attachment. Desmos provides this one.

The attachment shows part of the table we computed, and a plot of those points and the curve through them. The x-intercepts are also shown.

A weather station records the morning low temperature as −6.1°F and the afternoon high temperature as 10.5°F.

Which expression represents the total temperature change, in degrees Fahrenheit, from the morning low to the afternoon high?

Answers

Answer:

10.5−(−6.1)

*ZoneZFaze UwU on YT*

Random-digit dialing is often used to select telephone survey samples. This technique randomly selects the last four digits of a telephone number from a telephone exchange. (An exchange is the first three telephone numbers after the area code). This type of sample gets around the problem of using a telephone book as a sampling frame; however, other types of problems may still be encountered. Identify one type of selection biases that may ensue from this metho

Answers

Answer:

Non-response bias

Step-by-step explanation:

Selection bias in a survey occurs when individuals are selected in a disproportionate way such that the samples obtained do not represent the true population to be studied or interviewed. An example of a selection bias that can occur from Random-digit dialing is the non-response bias.

Participants who are to be selected for surveys must be eligible or suitable for the purpose of the experiment. If the survey is trying to measure the effect of stress on parents, there is a possibility that through random-digit dialing, homes might be called at times when parents are on a work trip. This inability to get the response of eligible subjects for the survey is a form of selection bias.  

A and b find volume and the total surface

Answers

Answer:

Volume=a3 or a*a*a

Volume=24*36*18

Volume=15552inch^3

For surface are formula is

A = 2wl + 2lh + 2hw

What is 3 times 6 tenths?

Answers

Answer:

1.8

Step-by-step explanation:

3 * 0.6 = 1.8


If Quadrilateral Q is a scaled copy of Quadrilateral P created with a scale factor of 3, what is the perimeter of q?

Answers

Answer:

The perimeter is quadrilateral Q is 3 times the perimeter of quadrilateral P.

Step-by-step explanation:

Using a scale factor of 3, every dilated side is 3 times longer then the original side. Then, the perimeter is also 3 times greater.

The perimeter is quadrilateral Q is 3 times the perimeter of quadrilateral P.

The perimeter of a shape is the sum of its side lengths. The perimeter of quadrilateral Q is 186 units

The sides of quadrilateral P (see attachment) are:

[tex]Sides = \{7, 15, 15, 25\}[/tex]

So, the perimeter of P is:

[tex]P_p = 7 + 15 + 15 + 25[/tex]

[tex]P_p = 62[/tex]

Given that:

[tex]k = 3[/tex] --- the scale factor from P to Q

This means that the sides of Q are 3 times the sides of P. So, the perimeter of Q will also be 3 times the perimeter of P

So, we have:

[tex]P_Q = P_p \times k[/tex]

This gives

[tex]P_Q = 62 \times 3[/tex]

[tex]P_Q = 186[/tex]

Hence, the perimeter of Q is 186 units

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4n-2n m4 I need help with this

Answers

The correct answer is 2n+m4. Hope this helps!! Please mark as brainliest!!

Which is the solution to the inequality? y minus 27 greater-than-or-equal-to negative 13 y greater-than-or-equal to negative 40 y less-than-or-equal to negative 40 y greater-than-or-equal to 14 y less-than-or-equal to 14

Answers

Answer:

[tex]y\geq 14[/tex]

y greater than or equal to 14

Step-by-step explanation:

Given the inequality:

[tex]y-27\geq -13[/tex]

We solve it by isolating the variable y on one side. That is, in our case we add 27 to both sides and get:

[tex]y-27\geq -13\\y\geq 27-13\\y\geq 14[/tex]

Answer:

c

Step-by-step explanation:

edge told me good luck.

(7 - b) + (3b + 2) ​

Answers

Answer:

below

Step-by-step explanation:

[tex](7 - b) + (3b + 2) \\7 - b + 3b + 2 \\7 +2 -b + 3b \\9 + 2b[/tex]

Steps to solve:

(7 - b) + (3b + 2)

~Remove parenthesis

7 - b + 3b + 2

~Combine like terms

2b + 9

Best of Luck!

Carly tried to solve an equation step by step. 7a=28 Step 1: 7a/a = 28/7 Step 2: 7 = 4 Find Carly's mistake A: Step 1 B: Step 2 C: Carly did not make a mistake.

Answers

This are the right steps

Step 1: first you divide the both size by 7 because there is 7 a's

7a/7 = 28/7

Step 2: You solve the equation

7a/7= a. 28/7 = 4

So, the answer is a = 4

not 7 = 4

Carly did a mistake in Step 1, as she divides the two sides of the equation by different quantities (she divided the left side of the equation by a and the right side of the equation by 7), but we are supposed to follow the same operations on both sides of the equation. Hence, option A: Step 1 is the right choice.

How are linear equations in one variable solved?

To solve linear equations in one variable, we isolate the variable to one side of the equation and simplify the other side to get the solution for the equation.

In the process of isolation, the operations performed on one side of the equation have to be performed on the other side too.

How to solve the question?

In the question, we are informed that Carly tried to solve an equation step by step. 7a=28 Step 1: 7a/a = 28/7 Step 2: 7 = 4.

We are asked to find the mistake that Carly did in solving the equation.

We first try to solve the equation: 7a = 28.

Step 1: 7a/7 = 28/7 {Dividing both sides by 7}

Step 2: a = 4 {Simplifying}.

Thus, we can see that Carly did a mistake in Step 1, as she divides the two sides of the equation by different quantities (she divided the left side of the equation by a and the right side of the equation by 7), but we are supposed to follow the same operations on both sides of the equation. Hence, option A: Step 1 is the right choice.

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