For any words alpha, beta, we use d(alpha, beta) to denote the length of an LCS(alpha, beta). Let L1 and L2 be two given regular languages. Design an algorithm that computes the number D with D = maxalpha is an element of L1, beta is an element of L2 d(alpha, beta). Note: L1 and L2 could be infinite. Sometimes, D is infinite. Also: LCS means longest common subsequence

Answers

Answer 1

Design an algorithm to compute the maximum length of the longest common subsequence between any pair of words in two given regular languages L1 and L2.

The problem of computing D with D = max alpha is an element of L1, beta is an element of L2 d(alpha, beta) can be solved using dynamic programming. We can create a 2D table with rows representing words from L1 and columns representing words from L2. Let T(i, j) represent the length of LCS of the ith word in L1 and the jth word in L2. Initially, all entries in the table are set to zero.

We can fill up the table T(i, j) in a bottom-up manner, starting from T(1,1). For each i, j, we can compute T(i, j) as follows:

If the ith word in L1 is the same as the jth word in L2, then T(i, j) = 1 + T(i-1, j-1).If the ith word in L1 is different from the jth word in L2, then T(i, j) = max(T(i-1, j), T(i, j-1)).

Once we have filled up the entire table T, we can compute the maximum value in the table and return it as the answer to the problem.

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Related Questions

Victoria has her treadmill set to low for today's exercise routine. She can turn it up to
high or turn it off. Which best describes what she did during the time shown on the
graph?

Victoria has her treadmill set to low for today's exercise routine. She can turn it up tohigh or turn

Answers

Answer: turning it up high because

Step-by-step explanation:

time goes up then down

Find the coordinates of the centroid of each triangle with the given vertices. X(-3, 15) Y(1,5), Z(5, 10)​

Answers

(1,10) I’m pretty sure Id doble check tho if u know how but I’m pretty sure

the triangle's centroid is located at these coordinates (1, 10).

What are coordinates?

We utilize two numbers to define the horizontal (x) and vertical (y) locations when using coordinates to find a point on a coordinate plane. A coordinate pair's first number indicates how far to move left or right from the origin, while its second number indicates how far to move up or down.

Given triangle with the vertices X(-3, 15) Y(1,5), Z(5, 10)​.

To find the Centroid of this triangle

Since the centroid is the center point of the object. The point at which the three medians of the triangle intersect is known as the centroid of a triangle.

thus, x-Coordinate of centroid of the triangle = (-3 + 1 + 5)/3

x-Coordinate of the centroid of the triangle = 1

y-Coordinate of centroid of the triangle = (15 + 5 + 10)/3

y-Coordinate of the centroid of the triangle = 10

therefore, the Coordinates of the centroid of the triangle are (1, 10).

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please help me

here's a screenshot of the question

please help mehere's a screenshot of the question

Answers

112:8 or 112/8 however your teacher writes it

feet/floor

14 ft

step right up for a brainilest

step right up for a brainilest

Answers

Answer:

0, 2/5, 1/6,-3/4,-7/10

Step-by-step explanation:

this is just what i think i didint understand the no spaces or no commas or negatives thing but here you go i hope its right

Which expression represents a difference of squares ?

Which expression represents a difference of squares ?

Answers

Answer:

first and last options

Step-by-step explanation:

Difference of squares are in the form a² - b². The only choices that satisfy this are 25x² - 36 and 1 - 16x².

Answer:

1 and 4

Step-by-step explanation:

a random sample of 150 u.s. adults is composed of 100 people from non-rural areas and 50 people from rural areas. estimate the confidence interval for the fraction of the population that is non-rural with 99% confidence. what is the lower limit of the confidence interval?

Answers

With 99% confidence, we can estimate that the fraction of the population that is non-rural is between 0.60 and 0.74.

To estimate the confidence interval for the fraction of the population that is non-rural with 99% confidence, we need to use the following formula:

Point estimate +/- (critical value * standard error)

Where the point estimate is the sample proportion of non-rural adults (100/150 = 0.67), the critical value is the z-score corresponding to a confidence level of 99% (2.575), and the standard error is the standard deviation of the sampling distribution of the sample proportion (which is equal to the square root of [(sample proportion * (1 - sample proportion)) / sample size]).

Plugging in the values, we get:

0.67 +/- (2.575 * sqrt[(0.67 * (1 - 0.67)) / 150])

Solving this equation gives us a lower limit of 0.60 for the confidence interval.

Thus, with 99% confidence, we can estimate that the fraction of the population that is non-rural is between 0.60 and 0.74.

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Boris spent $12 on the fruit at the grocery store. He spent a total of $80 at the store. What percentage of the total did he spend on fruit?

Answers

Answer:

15%

Step-by-step explanation:

$80 . . . 100%

$12 . . .    x%

x= 12*100/80=15

0.2y-14=1/4(4-y) tell each property used to solve the equation ​

Answers

to help you with math download the app photomath it's really useful and helps me tons!

These figures are similar. The perimeter and area of one are given. The perimeter of the other is also given. Find its area and round to the nearest tenth.
Perimeter= 20m
Area=19.6m^2
Perimeter=34m
What is the Area=

These figures are similar. The perimeter and area of one are given. The perimeter of the other is also

Answers

The area of the larger figure that is similar to the smaller one is: 28.2 m².

How to Find the Area of Similar Figures?

Where A and B represent the areas of two similar figures, and a and b are their corresponding side lengths, respectively, the formula that relates their areas and side lengths is:

Area of figure A / Area of figure B = a²/b².

Given that the two figures are similar as shown in the image above, find each of their respective side lengths if we are given the following:

Perimeter of smaller figure = 20 m

Area of smaller figure = 19.6 m²

Perimeter of larger figure = 34m

Area of larger figure = x

Therefore:

20/34 = a/b

Simplify:

10/17 = a/b.

Find the area (x) of the larger figure using the formula given above:

10²/12² = 19.6/x

100/144 = 19.6/x

100x = 2,822.4

x = 2,822.4/100

x ≈ 28.2 m²

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You use which of the following methods to solve a logic puzzle?

Logic puzzles use grids to help you make eliminations based on deciphering the truth in the clues provided.

Logic puzzles use grids that require you to have an extensive mathematical knowledge to solve.

Logic puzzles use grids that require you to have additional knowledge than what is presented to you in the clues provided.

Logic puzzles use grids to help you make eliminations based on making assumptions of the clues provided.

Answers

Answer:

Logic puzzles use grids to help you make eliminations based on deciphering the truth in the clues provided.

We can use the method to solve a logic puzzle is;

''Logic puzzles use grids to help you make eliminations based on deciphering the truth in the clues provided.''

Here,

We have to find a method to solve the logic puzzle.

What is Logic puzzle?

A problem that can be solved through the deductive reasoning is called Logic puzzle.

Now,

To solve a logic puzzle we can use grids which help to make eliminations based on deciphering in providing the truth in the clues.

Hence,

We can use the method to solve a logic puzzle is;

⇒ 'Logic puzzles use grids to help you make eliminations based on deciphering the truth in the clues provided.'

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Find all complex solutions of 2x^2-x+8=0

Answers

Answer:

x = 1 − √63i / 4 , x = 1 + √63i / 4

Step-by-step explanation:

Let's use the formula −b±√b2−(4ac) / 2⋅a

=  ax^2+bx+c=0

= 2x^2-x+8=0

Let's substitute 2 for a, −1 for b, and 8 for c in the formula of quadratic equation.

x = −1±√−12−(4⋅2⋅8) / 2⋅2

x = 1±√1−64 / 4

x = 1±√−63 / 4

x = 1±√63⋅−1 / 4

x = 1±√63√−1 / 4

x = {1−√63i / 4 , 1±√63i / 4}

compute the number of ways you can select n elements from n elements. n = 2, n = 10

Answers

The number of ways you can select n elements from N elements by using factorial (!) when n=2 and N=10 is 45.

Describe a factorial.

Factorial is a crucial mathematical operation that is used to determine the number of possible arrangements or the ordered set of numbers. Daniel Bernoulli is credited with discovering the factorial function's well-known interpolating feature. Numerous mathematical ideas, including probability, permutations and combinations, sequences and series, etc., use the factorial concept. A factorial function, in essence, multiplies a number by each number below it until it equals 1. For instance, the factorial of 3 is equal to 6 and reflects the multiplication of the integers 3, 2, and 1.

Now,

The number of ways you can select n elements from N elements when n=2 and N=10 is \(\frac{N!}{n!(N-n)!}\)

=\(\frac{10!}{2!(8)!}\)

=\(\frac{10 \times 9 \times \times 8!}{8! \times 2 !}\)

=45

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Bridget keeps $500 dollars in a safe at home. She also deposits $1000 in a savings account that earns 1.3% compound interest. Which function models the total amount of money Brigitte has over time, t?

Answers

f(t) = 1000⋅(1.013)t + 500

im so counfused right now please help
For the equation 6 - m = 3, how many solutions are there for m?

0
1
infinite
2

Answers

Answer:

1.

Step-by-step explanation:

The only way to get 3 as an answer to (6-m) is if m were to equal 3. Think about how many numbers can you replace m with to make the statement true. For example, try putting 1 as your m and see if it works. 6-1=3 -> 5=3. as you can see, this statement isnt true. The only solution that would work to make this statement true is one number, 3. Hope this helps.

Consider this system of equations.

p=2n

p-5 = 1. 5n

What value of n makes the system of equations true?

Enter your answer in the box.

Answers

Therefore, the value of n that makes the system of equations true is n = 10.

Given:

p = 2n

p - 5 = 1.5n

Substituting the value of p from the first equation into the second equation, we have:

2n - 5 = 1.5n

Next, we can solve for n by subtracting 1.5n from both sides of the equation:

2n - 1.5n - 5 = 0.5n - 5

Simplifying further:

0.5n - 5 = 0

Adding 5 to both sides of the equation:

0.5n = 5

Dividing both sides by 0.5:

n = 10

Therefore, the value of n that makes the system of equations true is n = 10.

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Kayla rode her bike 75 miles home from college one weekend and then rode the bus back to college. It took her 2 hours less to ride back to college on the bus than it took her to ride home on her bike, and the average speed of the bus was 10 miles per hour faster than kayla’s biking speed. Find kayla’s biking speed

Answers

When Kayla rode her bike home from college one weekend, her biking speed is 15 miles per hour

Speed is defined as the ratio between the distance and the amount of time an object traveled.

speed = distance/time

If the average speed of the bus was 10 miles per hour faster than Kayla’s biking speed, we have:

average speed of the bus = 10 mph + biking speed

let x = biking speed

y = average speed of the bus

y = 10 + x

Covering the same distance of 75 miles, calculate the time it took her riding the bus and the bike.

time = distance/speed

time riding the bus = 75 miles/(10 + x)

time riding the bike = 75 miles/x

If it took her 2 hours less to ride back to college on the bus than it took her to ride home on her bike

time riding the bus = time riding the bike - 2

75 miles/(10 + x) = (75 miles/x) - 2

75/(10 + x) = (75 - 2x)/x

Multiplying both sides by x(10 + x),

x(10 + x)[75/(10 + x)] = x(10 + x)[(75 - 2x)/x]

75x = 750 - 20x + 75x - 2x^2

2x^2 + 20x - 750 = 0

x^2 + 10x - 375 = 0

(x - 15)(x + 25) = 0

x = 15   ;   x = -25

Since we cannot have negative amount of time, choose x = 15.

Hence, Kayla's biking speed is 15 miles per hour.

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Find the value of x.
2x
20
A. 10
B. 80
C. 45
D. 35

Find the value of x.2x20A. 10B. 80C. 45D. 35

Answers

Answer:

B

Step-by-step explanation:

2x+20=180

2x=180-20

2x=160

2x=160

-----------

2 2

x=80

Answer:

D. 35

Step-by-step explanation:

Just took the test

Use the Richter scale formula R = log (I / I0) to find the magnitude of an earthquake that has the following intensity. (a) 1,000 times that of I0 (b) 100,000 times that of I0

Answers

The magnitude of an earthquake that has the following intensity.

(a) 1,000 times that of I0 , R is 3.

(b) 100,000 times that of I0, R is 5.

What is ritcher scale?

The logarithm of the wave amplitude measured by seismographs is used to calculate the earthquake's Richter magnitude; adjustments are made to account for variations in the distances between different seismographs and the earthquake's epi-centre.

a) I = 1000. I₀

R = log(I / I₀)

= log(1000 I₀ / I₀)

= log(1000)

= log 10³

(i.e., log xⁿ = n log x)

= 3 log 10

R = 3

b) I = 100000 I₀

R = log(I / I₀)

=  log(100000 I₀ / I₀)

= log(100000)

= log 10⁵

(i.e., log xⁿ = n log x)

= 5 log 10

R = 5

The magnitude of an earthquake that has the following intensity.

(a) 1,000 times that of I0 , R is 3.

(b) 100,000 times that of I0, R is 5.

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.


Mary has 2 bags of tiles. The first bag contains 6 pink tiles, 5 blue tiles, and 4 green tiles. The second bag contains 3 pink tiles, 2 blue tiles and 4 green tiles. Mary will randomly select 1 tile from each bag.



What is the probability that Mary will select a blue tile from each bag?





Explain how you would solve this problem in 5 steps and state your final answer.

Answers

Answer:

The probability that Mary will select a blue tile from each bag is 2/27

Step-by-step explanation:

Step 1:

Calculate the total number of tiles in 1st bag,

             there are, 6 + 5 + 4 = 15 tiles

Step 2:

Calculate the total number of tiles in 2nd bag,

there are 3+2+4 = 9 tiles

Step 3:

Calculate the probability of selecting a blue tile from 1st bag,

since there are 5 blue tiles, we get the probability,

\(5/15 = 1/3\)

so the probability is 1/3

Step 4:

Calculate the probability of selecting a blue tile from 2nd bag,

since there are 2 blue tiles out of a total of 9,

the probability is 2/9

Step 5:

Multiply both probabilities to find the total probability of getting a blue tile from both

so, (probability of selecting blue tiles from 1st bag)((probability of selecting blue tiles from 2nd bag) = total probability

\((1/3)(2/9) = 2/27\)

so the probability that Mary will select a blue tile from each bag is 2/27

Formula One race cars can reach speeds of approximately 200 meters per 5 pointssecond. What is this speed in meters per minute? *1,200 meters per minute2.65 meters per minute120 meters per minute12,000 meters per minuteSaintesCompare these two fractions: 3/10 and 115 *

Answers

One minute has 60 seconds. So we want to know if the car can travel 200 meters in 1 second, how far can it go in 60 seconds?

\(\frac{200m}{1s}\times60s=12,000\text{ m/s}\)

The speed in meters per minute is 12,000

tim and david are baking pies for a fundraiser at their school. the divide each 9-inch diameter pie into 6 equal slices. what is the area of a piece of pie in square inches?

Answers

Therefore, the area of a piece of pie is 10.60 square inches.

To find the area of a pie with a 9-inch diameter, we can use the formula for the area of a circle:

A = πr²

where r is the radius of the circle. Since the diameter of the pie is 9 inches, the radius is half of that, or 4.5 inches. So we can plug this value into the formula to get:

A = π(4.5)²

Simplifying, we get:

A = π(20.25)

A = 63.62 square inches (rounded to two decimal places)

This is the total area of the pie.

Since the pie is divided into 6 equal slices, we can divide the total area by 6 to get the area of each slice. So we can calculate the area of each slice as:

63.62 / 6 = 10.60 square inches (rounded to two decimal places)

Therefore, each slice of the pie has an area of approximately 10.60 square inches.

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/A and /B are vertical angles. If mA = (4x − 4)° and m/B = (5x – 29)°,
-
then find the measure of /A.

Answers

the measure of angle A is 96° when A and B are vertical angles.

We are given the two vertical angles as:

A = (4x − 4)° and B = (5x – 29)°

We know that, vertical angles are equal to each other.

So, we get that:

4 x - 4 = 5 x - 29

5 x - 4 x = 29 - 4

x = 25

A = 4 x - 4

A = 4 ( 25 ) - 4

A = 100 - 4

A = 96°

Therefore, the measure of angle A is 96° when A and B are vertical angles.

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1. Check whether the given function is a probability density function. If a function fails to be a probability density function, say why.
a) f(x) = x on [0, 7]
<1> Yes, it is a probability function.
<2> No, it is not a probability function because f(x) is not greater than or equal to 0 for every x.
<3> No, it is not a probability function because f(x) is not less than or equal to 0 for every x.
<4> No, it is not a probability function because\int_{0}^{7}f(x)dx ≠ 1.
<5> No, it is not a probability function because\int_{0}^{7}f(x)dx = 1.
b) f(x) = ex on [0, ln 2]
<1> Yes, it is a probability function.
<2> No, it is not a probability function because f(x) is not greater than or equal to 0 for every x.
<3> No, it is not a probability function because f(x) is not less than or equal to 0 for every x.
<4> No, it is not a probability function because\int_{0}^{\ln 2}f(x)dx ≠ 1.
<5> No, it is not a probability function because\int_{0}^{\ln 2}f(x)dx = 1.
c) f(x) = −2xe−x2 on (−[infinity], 0]
<1> Yes, it is a probability function.
<2> No, it is not a probability function because f(x) is not greater than or equal to 0 for every x.
<3> No, it is not a probability function because f(x) is not less than or equal to 0 for every x.
<4> No, it is not a probability function because\int_{-\infty }^{0}f(x)dx ≠ 1.
<5> No, it is not a probability function because\int_{-\infty }^{\0}f(x)dx = 1.

Answers

a) No, it is not a probability density function because f(x) is not greater than or equal to 0 for every x. Specifically, f(x) is negative for x < 0.

b) Yes, it is a probability density function. The function is always positive on [0, ln 2], and its integral from 0 to ln 2 is equal to 1.

c) No, it is not a probability density function because f(x) is not greater than or equal to 0 for every x. Specifically, f(x) is negative for x < 0, and its integral over its domain from -∞ to 0 is not equal to 1.

what is probability?

Probability is the measure of the likelihood or chance of an event occurring. It is a numerical value between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. In other words, probability is the ratio of the number of favorable outcomes to the total number of possible outcomes in a given situation. It is used in a wide range of fields, including mathematics, statistics, physics, engineering, finance, and more, to make predictions and informed decisions based on uncertain or random events.

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Find the general solution of the following PDE: \[ u_{x x}-2 u_{x y}-3 u_{y y}=0 \]

Answers

We need to find the general solution of the above PDE. Let's solve the above PDE by the method of characteristic. Let us first solve the PDE by using the method of characteristics.

The method of characteristics is a well-known method that provides a solution to the first-order partial differential equations. To use this method, we first need to find the characteristic curves of the given PDE. Thus, the characteristic curves are given by $x = t + c_1$.

Now, we need to eliminate $t$ from the above equations in order to obtain the general solution. By eliminating $t$, we get the general solution as:$$u(x,y) = f(2x - 3y) + 3(x - 2y)$$ where $f$ is an arbitrary function of one variable. Hence, the general solution of the PDE $u_{xx} - 2u_{xy} - 3u_{yy} = 0$ is given by the above equation. Thus, the main answer to the given question is $u(x,y) = f(2x - 3y) + 3(x - 2y)$. In order to find the general solution of the PDE $u_{xx} - 2u_{xy} - 3u_{yy} = 0$, we first used the method of characteristics. The method of characteristics is a well-known method that provides a solution to the first-order partial differential equations.

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Here is an expression 3*2t


evaluate the exoression when t is 4


Last one for tonight!

Answers

Answer:

24

Step-by-step explanation:

3 * 2 = 6 * 4 = 24

Answer: 48

Step-by-step explanation:

3 x 2^4 =3 x 16 = 48

helppppppppppppppppppppp

helppppppppppppppppppppp

Answers

Answer:

C. 2, 1

Step-by-step explanation:

what is the equation of the line containing (4,-2) , (6,4)

Answers

Answer:

Step-by-step explanation:

To find the slope it is: change in y/change in x

or

y_1 - y_2/x_1 - x_2. It can also be the variable sub 2, minus sub 1.

For this it is:

-2-4/4-6

-6/-2

3

m = 3

Slope intercept form is y = mx+b. Now we can sub in m. y = 3x+b.

To find b, sub in numbers from one of the points for x and y. I'm going to use (4,-2). Since in this case, -2 = y, and 4 = x, then those are the numbers I'm going to replace x and y with.

-2 = 3(4) +b

-2 = 12+b

-14=b

If -14 = b, and 3 = m, then your equation is y = 3x-14

4,12 , 6,4 containing

Kate's new juicer is able to squeeze
3
4
of a cup of orange juice from
1
12
of a bag of oranges. Compute the unit rate of cups per bag of oranges? A: 3 cups B:6 cups C: 9 cups D: 12 cups

Answers

Answer:

C: 9 cups

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

did it on usatestprep

Is 3 to the second power + 3 to the 3rd power equal to 3 to the 5th power explain

Is 3 to the second power + 3 to the 3rd power equal to 3 to the 5th power explain

Answers

Answer:

They are not equal.

Step-by-step explanation:

Hi there!

\(3^2+3^3\) is not equal to \(3^5\). When two powers with the same base are added together, we cannot add the exponents to get the answer.

We can only add exponents to get the answer when two power with the same base are multiplied.

\(3^2+3^3\\= 9+27\\=36\)

\(3^5\\=243\)

They are not equal.

I hope this helps!

Evaluate the function.
f(x) = x2 - 4
Find f(5)

Answers

Answer:

f(5)=21

Step-by-step explanation:

Brainliest please

Evaluate the function.f(x) = x2 - 4Find f(5)
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