Given the following empty-stack PDA with start state 0 and starting stack symbol X. (0, a, X, push(X), 0) (0, b, X, nop, 1) (1, b, X, pop, 1).

Answers

Answer 1

The PDA you provided has three transition rules.  The first rule says that if the current state is 0, the input symbol is 'a', and the top symbol on the stack is 'X', then push a new 'X' onto the stack and stay in state 0.

The second rule says that if the current state is 0, the input symbol is 'b', and the top symbol on the stack is 'X', then do nothing (i.e., don't push or pop any symbols), and transition to state 1.

The third rule says that if the current state is 1, the input symbol is 'b', and the top symbol on the stack is 'X', then pop the 'X' from the stack and stay in state 1.

Note that if the PDA reads any other input symbol than 'a' or 'b', it will get stuck in state 0 with 'X' on the top of the stack, since there are no rules for transitioning on any other input symbol.

In terms of the language recognized by this PDA, it appears that it can recognize strings of the form a^n b^n, where n is a non-negative integer.

To see why, suppose we have a string of the form a^n b^n. We can push n 'X' symbols onto the stack, and then for each 'a' we read, we push another 'X' onto the stack.

Once we have read all the 'a's, the stack will contain 2n 'X' symbols. Then, for each 'b' we read, we pop an 'X' from the stack.

If the input is indeed of the form a^n b^n, then we will end up with an empty stack at the end of the input, and we will be in state 1.

On the other hand, if the input is not of this form, then we will either get stuck in state 0, or we will end up in state 1 with some symbols left on the stack, indicating that the input is not in the language.

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Related Questions

Nebi has already typed 250 words. He then starts a timer and finds that he types 150 words in 3 minutes. If Nebi types at a constant rate, write a linear equation to represent the number of words w Nebi types m minutes after starting the timer.

Answers

Answer:

198

Step-by-step explanation:I

Answer: w= 150m

Step-by-step explanation:

MARK BRAINLIEST

Your parents are building a pool that is 7 ft wide and 12 ft long. They want to put a walkway around the pool that is x ft wide on all sides. Write a polynomial that represents the combined area of the pool and walkway. Answer needs to be in standard form and use x as your variable.

Answers

Answer:

Combined area = 4[tex]x^{2}[/tex] + 38x + 84

Step-by-step explanation:

The rectangle formed by the pool and walkway is 12 + 2x long and 7 + 2x wide.

Area of the rectangle = lw = (2x + 12)(2x + 7) = 4[tex]x^{2}[/tex] + 38x + 84

The sales tax in one state is 5%. Write a function rule for finding the total cost of an item with selling price x. Then find the total cost of CD player with a selling price of $110

Answers

Answer:

Total Cost = 1.05x

CD Player cost = 110*1.05 = $115.50

Step-by-step explanation:

Charlotte has 85 stickers. Her brother has x times more stickers than her. Write
an expression to show how many stickers her brother has.
?

Answers

Step-by-step explanation:

Her brother has 85 * x stickers.

Could you help me please ?

Answers

Answer:

Step-by-step explanation: The quotient is 20

Estimate the answer by rounding each fraction to the nearest whole number and then adding. 13 7/10 + 10 1/8

Answers

9514 1404 393

Answer:

  24

Step-by-step explanation:

The rounded numbers are ...

  13 7/10 = 13.7 ⇒ 14

  10 1/8 = 10.125 ⇒ 10

The sum of the rounded numbers is 14 +10 = 24.

The estimate of the sum is 24.

Given the point (3, 4) and the slope of 6, find y when x = 27. (1 point)

Answers

Step-by-step explanation:

use the slope and coordinates to find the equation of line then substitute the value of X in the equation to find Y.

if it helps pls mark me brainliest

please help me on this will give you brainliest

Answers

It should be 16 if I am correct

17 >n +4
I rlly need help now

Answers

Answer:

n=13

Step-by-step explanation:

Step 1: Flip the equation.

Step 2: Subtract 4 from both sides.

What is the measure of arc HT?​

Answers

Answer:

step 1. mHT = 2(74) = 148°. the arc measures twice the angle when crossing the circle.

Condense to a single logarithm : log 12 18+3 log 12 2

Answers

Answer:

2 or [tex] \log_{12} 144 [/tex]

Step-by-step explanation:

I assume 12 is the base.

[tex] \log_{12} 18 + 3 \log_{12} 2 = [/tex]

[tex] = \log_{12} 18 + \log_{12} 2^3 [/tex]

[tex] = \log_{12} (18 \times 8) [/tex]

[tex] = \log_{12} 144 [/tex]

[tex] = \log_{12} 12^2 [/tex]

[tex] = 2\log_{12} 12 [/tex]

[tex] = 2 [/tex]

The entire expression simplifies to 2, but if you need the simplest log expression, then you can use

[tex] \log_{12} 144 [/tex]

Complete the following proofs.

Given: Points R, S, T, Q on circle O



Prove: m Arc RS + m Arc ST + m Arc TQ = m Arc RQ

Answers

Answer:

Points R, S, T, Q on circle O is given

and points are central arc

Step-by-step explanation:

Write the equation 9 = -5x + 4 in the form ax + b = c, where c = 9.
What are the values of a and b?

Answers

Answer:

a = - 5x and b= 4

Step-by-step explanation:

So it becomes - 5x +4=9

Hope this helps pls tell if any mistakes

Answer:

dil bende ingilizce göründüğü için anlamıyoruuumm

Helen plays basketball. For free throws, she makes the shot 75% of the time. Helen must now attempt two free throws. The probability that Helen makes the second free throw given that she made the first is 0.85. What is the probability that she makes both free throws?

Answers

Answer: 0.6375

Step-by-step explanation:

Let's assume that the event that she'll make the first shot is given as P(A) while making the second shot is P(B). Therefore, P(A/B) = 0.85

Therefore, the probability that she makes both free throws will be denoted as:

= 0.75 × 0.85

= 0.6375

suppose the company's cost per 1 gallon is $2.70 what is the markup if they sell each gallon at $3.20 then what is the markup if they sell each gallon at $3.50

Answers

Answer:

A= 50cents markup B=80 cents markup

Step-by-step explanation:

U just subtract the markup by 270 then bam

If the sales tax rate is 7.5% in New York State, then how much sales tax would you pay in Albany for a $34 pair of pants? What is the final cost?

Answers

Answer:

Sales Tax $2.55

Final Cost $36.55

Step-by-step explanation:

Finding sales tax

34 * 7.5%= 2.55

Multiply the tax with the original cost, that will be your sales tax

Finding final cost

34 + 2.55= 36.55

Add your sales tax with the original cost, now you have the final total

Hello please help me answer :)

( WILL GIVE BRAINLST)

Answers

Answer:

Answer is given

:) mark me brainliest

Carlos tiene un terreno cuadrado que mide 8 m por lado. ¿Cuál es el área del terreno?¿Qué operación permite obtenerla?

Answers

Answer:

32 ,multiplica 8 por 2 en cuanto lo vi lo resolví

which of the follow expressions are equivalent to (3^4)^-2 • (3^5)^3

Answers

Answer:

3^7

Step-by-step explanation:

Answer:

3^7

Step-by-step explanation:

(3^4)^-2 • (3^5)^3 = 2187

3^7 = 2187

What is the area of cross-section ADGF of this right rectangular prism?



A.
20 square units
B.
48 square units
C.
52 square units
D.
65 square units

Answers

Answer:

C.52 square units

Step-by-step explanation:

We are given that

Length of cross-section ADGF,l=13units

Length of cross-section ADGF, b=4 units

We have to find the area  of cross-section ADGF of this right rectangular prism.

We know that

Area of rectangle=[tex]l\times b[/tex]

Using the formula

Area of cross-section ADGF of this right rectangular prism

=[tex]13\times 4[/tex]

Area of cross-section ADGF of this right rectangular prism=52square units

Option C is correct.

C.52 square units

Answer:

i hope this helps

Step-by-step explanation:

Solve for xxx.
Your answer must be simplified.
15 < -5 x

Answers

Answer:

x < - 3

Step-by-step explanation:

Given

15 < - 5x

Divide both sides by - 5, reversing the symbol as a result of dividing by a negative quantity

- 3 > x , that is

x < - 3

The simplified expression is x < -3.

What is an inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is the condition of being unequal. It is used most often to compare two numbers on the number line by their size.

For the given situation,

The expression is 15 < -5x

⇒ [tex]15 < -5 x[/tex]

Divide both sides by -5,

⇒ [tex]\frac{15}{-5} < \frac{-5}{-5} x[/tex]

When we divide an inequality with negative number, we need to change the sign,

⇒ [tex]-3 > x[/tex]

⇒ [tex]x < -3[/tex]

Hence we can conclude that the simplified expression is x < -3.

Learn more about inequalities here

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please Help me i'm timed

Answers

Answer:

X=28

Step-by-step explanation:

4x+248=360

112=4x

x=28

Answer:

28

Step-by-step explanation:

Short Answer
Note: Your teacher will grade your response to ensure you receive proper credit for your answer
Describe how you would estimate the square root of a number that is not a perfect square without using a calculator

Answers

Answer:

The square root must be between the square roots of the perfect squares just above and just below your number.

For example the square root of 89 must be between 9 and 10.

Step-by-step explanation:

The pet store has an abundance of birds and fish and is selling them at a great price there are 230 of these pets in the store the cost for a bird is $9 and the cost per fish is $4 the store sold all the pets in a weekend blow out sale and made $1060 how many of the pets were birds and how many were fish? Equation for pets? Equations for cost?

Answers

Answer:

a) How many of the pets were birds and how many were fish?

Number of birds = x = 28

Number of fish = y = 202

b) Equation for pets?

x + y = 230....... Equation 1

c) Equations for cost?

9x + 4y = 1060...... Equation 2

Step-by-step explanation:

The pet store has an abundance of birds and fish and is selling them at a great price there are 230 of these pets In the store the cost for a bird is $9 and the cost per fish is $4 the store sold all the pets in a weekend blow out sale and made $1060 how many of the pets were birds and how many were fish? Equation for pets? Equations for cost?

Let us represent:

Number of birds = x

Number of fish = y

The pet store has an abundance of birds and fish and is selling them at a great price there are 230 of these pets

x + y = 230....... Equation 1

x = 230 - y

In the store the cost for a bird is $9 and the cost per fish is $4 the store sold all the pets in a weekend blow out sale and made $1060

$9 × x + $4 × y = $1060

9x + 4y = 1060...... Equation 2

We substitute 230 - y for x

9(230 - y) + 4y = 1060

2070 - 9y + 4y = 1060

Collect like terms

- 9y + 4y = 1060 -2070

-5y = -1010

y = -1010/-5

y = 202

Solving for x

x = 230 - y

x = 230 - 202

x = 28

Therefore,

Number of birds = x = 28

Number of fish = y = 202

Please put all these in order. Will give brainleast if answered correctly.

Answers

Answer: I can’t see the pic it’s blank

Step-by-step explanation:

Step-by-step explanation:

The answer is two because when you have one pen and buy another one it becomes two pens

I’ll give brainlist to anyone that can help me

Answers

Answer:

80 ft

Step-by-step explanation:

if 1 = 20 then 20 is width but ? is length

1=20

2=40

3=60

4=80

since 4 in is length then actual length is 80ft

Answer:

80ft

Step-by-step explanation:

hope this helps

Elijah needs to buy some cat food. At the nearest store, 6 bags of cat food costs $24.75. How much would Elijah spend on 3 bags of cat food

*ONLY TYPE THE AMOUNT/ROUND TO THE NEAREST HUNDRED*

Answers

Answer: the original answer is 75.25 but rounded to the hundredths would be 100

Step-by-step explanation: brainliest please? ^^

Maricella plots two ordered pairs on the grid below.

On a coordinate plane, points are at (6, 2) and (8, 6).
The line segment is extended to cross both axes. What is the location of the y-intercept on the line?
(0, –22)
(0, –10)
(0, –5)
(0, 5)

Answers

Answer:

(0, -10)

If you graph the points and follow where the line would go, then it would hit these coordinates.

Answer:

(0,-10)

Step-by-step explanation:

someone who can actually give the answer please answer this please! do not put nothing crazy or get reported!!
Find the zeros of this polynomial.

Answers

Answer:you’ll find the answer just by understanding and looking at the photo

Step-by-step explanation:

if f(x)=3x-4 and g(x)=x^2 -1
what is f(g(-3))?

a) -34
b) 8
c) 20
d) 168

Answers

Answer: C) 20
Explanation: Subsitute (-3) into the g(x) equation so you get g(-3)= (-3)^2-1= 9-1=8
Then replace the x as 8 in f(x) and you get 3(8)-4=24-4= 20.
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