Find the perimeter of a triangle if the three sides are
4x^2-x+4, 2x^2-2x+1, x^2+8x+3

Red-black trees are a type of self-balancing binary search tree, and while they are similar in structure and behavior to 2-3 trees, they are not an implementation of 2-3 trees.

2-3 trees and red-black trees are both self-balancing binary search trees, which means that they maintain their balance by automatically adjusting their structure after insertions and deletions. Both types of trees can be used to implement the same operations, such as searching, inserting, and deleting elements in logarithmic time.

However, 2-3 trees have a different structure and use a different balancing strategy than red-black trees. 2-3 trees are composed of nodes with either two or three children, whereas red-black trees are composed of nodes with two children and use color-coded links to balance the tree. While the two types of trees have some similarities, they are not the same thing, and red-black trees are not considered an implementation of 2-3 trees.

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--There is a slight error in the question, answering to the question below--

"Are red-black trees an implementation of 2-3 trees?"

An ellipse is a conic section.

The equation of an ellipse with center (h,k) and major axis a and minor axis b is

(x - h)²/a² + (y - k)²/b² = 1

Given the ellipse (x - 6)²/64 + (y + 3)²/25 = 1 writing it in standard form, we have

(x - 6)²/8² + (y + 3)²/5² = 1

So, we have the center of the ellipse at (6, - 3) and the endpoints major axis are 5 units form the center and the endpoints of the minor axis are 8 units form the center.

Find the graph of the ellipse on the attachment

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Answer:

144

Step-by-step explanation:

first you gotta do 3x4 which is 12 then 12x12. and then you get 144.

Robert will run a total of 144 miles during the 12 weeks.

Given:

Robert runs 3 times a week for 12 weeks.

So, total number of runs will be:

= 3 runs/week * 12 weeks

= 36 runs

Since each run is 4 miles, multiply the total number of runs by the distance per run:

= 36 runs * 4 miles/run

= 144 miles

Therefore, Robert will run a total of 144 miles.

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c. 1600

1200 : 3 * 4

= 400 * 4

= 1600

The capacity of this coliseum is 1600

The correct option is (C)

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator.

Given:

Total people attended the Coliseum= 1200

let he capacity be x

3/4*x= 1200

x= 1200*4/3

x= 1600

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Your question is incomplete/other language, probably the traslated question/missing part is:

In a city coliseum, the final of a volleyball championship was played. In total, 1,200 people attended the Coliseum. this number of people represents 3/4 of its capacity. What is the capacity of this coliseum?

The weight of each box is 13.5 and 6.25 kg

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given is a system of equations,

8x+4y = 133....(i)

3x+2y = 53....(ii)

Solving the equations,

Multiplying the eq(ii) by 2 and subtracting by eq(i)

8x+4y = 133 - (6x+4y = 106)

2x = 27

x = 13.5

Put x = 13.5 in eq (ii)

3(13.5) + 2y = 53

2y = 12.5

y = 6.25

Hence, the weight of each box is 13.5 and 6.25 kg

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Answer:

-14f+10.6g

Step-by-step explanation:

Answer:

The decimal number system in use today was first recorded in Indian mathematics.

Step-by-step explanation:

In the classical period of Indian mathematics (400 AD to 1200 AD), important contributions were made by scholars like Aryabhata, Brahmagupta, Bhaskara II, and Varāhamihira. The decimal number system in use today was first recorded in Indian mathematics.

Answer:

Decimal point system.

Step-by-step explanation:

Expression in terms of y: (12y + 36) / 4.The expression (12y + 36) / 4 represents the side length of the square in terms of y.

The perimeter of a square is equal to four times the length of its side. In this case, the perimeter is given as 12y + 36 units. To find the side length, we divide the perimeter by 4. Thus, the expression (12y + 36) / 4 represents the side length of the square in terms of y.

Let's calculate it:

Side length = (12y + 36) / 4

             = 3y + 9

Therefore, the side length of the square in terms of y is 3y + 9 units.

The expression (12y + 36) / 4 represents the side length of the square in terms of y. By simplifying the expression, we find that the side length is equal to 3y + 9 units.

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Answer:

Did you get it correct

To provide the state diagrams for Turing machines that decide the languages L6 and L7, we need to describe the transitions and states that machines will go through.

a) For language L6, a possible state diagram for the Turing machine would involve states for each substring encountered. The initial state would be a start state, and when the machine reads 0, it transitions to a state representing the substring 0. When it reads 1, it transitions to a state representing the substring 01. If it then reads another 1, it transitions to a state representing the substring 011, which is an accepting state. Similarly, when it reads 0 after 01, it transitions to a state representing the substring 0110. If it reads 1 after 0110, it transitions to a state representing the substring 01101, which is another accepting state.

b) For language L7, the Turing machine needs to keep track of the count of 0's and 1's encountered. It can have states such as S0, S1, S2, and S3, representing the number of 0's encountered. The machine starts in state S0, and upon reading 0, it remains in S0 or moves to state S1. Upon reading 1, it moves to state S2. If another 1 is encountered in S2, the machine moves to a non-accepting state S3. If it reads 0 in S1 or S2, it moves back to S0. If it encounters two 1's and no more 0's, it stays in S2. States S1 and S2 are accepting states, and once the machine reaches either of these states, it halts and accepts the input.

Note: The provided descriptions are high-level explanations, and the actual state diagrams might involve more states and transitions depending on the specific implementation of the Turing machine for each language.

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Answer:

its the 3rd choice.

Step-by-step explanation:

Firstly, we find angle BDC (180-90-30=60)

Now that we found it we can use the sine rule to find DB (which i put as an x), which is sin60/14=sin30/x, by cross multiplication, we find that its equal to a decimal number, i will use its root version to this easier, its equal to 14sqrt3/3 inches.

And now we use the pythagorean theorem to find DC, we find that it is equal to 28sqrt3/3

Now, we find angle BAC (180-90-(30+15)=45)

Again, we use the sine rule to find AB (whom i will refer to as x and from whom we will subtract DB to find the length of AD), so we cross multiply in sin45/14=sin(30+15)/x, it is equal to 14.

So since AB-DC=AD

14-(14sqrt3/3)= 5.917096231 (and we ound that to a 5.9)

Second time john wins the race because he runs in the race with constant speed as same speed they run in 1st race.

According to the statement

We have given that the John and Peter, are running a 100-meter race.

In the first race that they run John beats Peter by 5 meters. and the next time they race John stands 5 meters behind the starting line.

Here the both participant's speed remain same in both races.

So, We have to find that the If they run at the constant speed as the first race, who will win the second race

So, for this purpose

According to the statement

in first race john beats the peter and wins the race and if they start the second race with the same speed then it is clear that the second time john won the race.

So, Second time john wins the race because he runs in the race with constant speed as same speed they run in 1st race.

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Answer:

⅛

Step-by-step explanation:

There are two sides of a coin which means that the profanity of getting one side of the coin is ½.

There are 14 candies in total of which 7 are red, meaning that the probability of getting a red candy is 7/14, which is the same as ½.

There are 6 sides to a die, of which 3 sides contain the odd numbers 1,3 and 5. This would mean that the probability of getting an odd number on the die is 3/6, which is the same as ½.

Now to work out the probability of getting a red candy, a heads and an odd number on the die, you have to times the probability of each together to get you final answer.

So it will be, ½×½×½=⅛

the distance between the boats is approximately 130.2m.

Using the Law of Sines, we can find the distance between the boats:

x = 48 / sin(27.5° - 23.5°)

x ≈ 130.2 m

The Law of Sines can be used to find unknown angles or lengths in any triangle when two angles and one length are known. In this scenario, we are given the two angles of depression from the top of the tower and the height of the tower (48m). We can use this information to find the distance between the two boats.

To do this, we can subtract the two angles of depression to get the angle in the triangle formed by the two boats and the tower. We then divide the height of the tower (48m) by the sine of that angle to get the distance between the boats. In this case, the distance between the boats is approximately 130.2m.

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Answer: 31 m/s

Step-by-step explanation:

70 miles per hour = 112654 meters per 3600 seconds = 31.3 = 31 m/s

The probability that at least 15 in the sample are among this group is given as follows:

0.9441 = 94.41%.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with \(\mu = np, \sigma = \sqrt{np(1-p)}\).

The parameters for the binomial distribution are given as follows:

n = 50, p = 0.4.

Hence the mean and the standard deviation for the approximation are of:

Using continuity correction, the probability that at least 15 in the sample are among this group is one subtracted by the p-value of Z when X = 14.5, hence:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (14.5 - 20)/3.46

Z = -1.59

Z = -1.59 has a p-value of 0.0559.

1 - 0.0559 = 0.9441 = 94.41%.

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The output when the given pseudocode is executed with A = 5 and B = 3 will be "25, 16, 9, 4, 1".

The given pseudocode includes a loop that iterates as long as A is greater than or equal to B. In each iteration, the square of A is displayed, and A is decremented by 1. We are asked to determine the output when A is initially 5 and B is 3.

Step 1: Initialization

A is set to 5 and B is set to 3.

Step 2: Iteration 1

Since A (5) is greater than or equal to B (3), the loop executes.

The square of A (5²) is displayed, resulting in the output "25".

A is decremented by 1, so A becomes 4.

Step 3: Iteration 2

A (4) is still greater than or equal to B (3).

The square of A (4²) is displayed, resulting in the output "16".

A is decremented by 1, so A becomes 3.

Step 4: Iteration 3

A (3) is still greater than or equal to B (3).

The square of A (3²) is displayed, resulting in the output "9".

A is decremented by 1, so A becomes 2.

Step 5: Iteration 4

A (2) is still greater than or equal to B (3).

The square of A (2²) is displayed, resulting in the output "4".

A is decremented by 1, so A becomes 1.

Step 6: Iteration 5

A (1) is still greater than or equal to B (3).

The square of A (1²) is displayed, resulting in the output "1".

A is decremented by 1, so A becomes 0.

Step 7: Loop termination

Since A (0) is no longer greater than or equal to B (3), the loop terminates.

Therefore, The output generated by the code execution will be "25, 16, 9, 4, 1" as the squares of A (starting from 5 and decreasing by 1) are displayed in each iteration of the loop.

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Answer:

x is equal to negative one, and y is equal to negative four.

Step-by-step explanation:

You can do this by solving one of the equations by either x or y, then substituting it into the other.  Let's solve the second one for y:

\(2y = 3x - 5\\y = \frac{3x - 5}{2}\)

Now we'll substitute that into the first equation:

\(9x - 2y = -1\\9x - 2(\frac{3x - 5}{2}) = -1\\9x - 3x + 5 = -1\\6x + 5 = -1\\6x = -6\\x = -1\)

So we now know that x is equal to -1.  We can simply substitute that into one of the original equations to find y:

\(2y = 3x - 5\\2y = 3(-1) - 5\\2y = -3 - 5\\2y = -8\\y = -4\)

We now know that x is equal to -1, and y is equal to -4.  We can also check our answer by plugging that -4 into the other equation, and see if we still get -1:

\(9x - 2y = -1\\9x - 2(-4) = -1\\9x + 8 = -1\\9x = -1 - 8\\9x = -9\\x = -1\)

So we know that our answer is correct.

The probability that a salesperson selected at random has above-average sales ability and has excellent potential for advancement is 0.27.

Probability simply means the likelihood that an event will occur.

In this case, the data for the 500 sampled salespeople are summarized in the table.

The probability that the person has above-average sales ability and has excellent potential for advancement will be:

= Number of people that above-average sales ability and has excellent potential for advancement / Total number of people

= 135 / 500

= 0.27

The probability is 0.27.

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Answer:

21

Step-by-step explanation:

Since the girls have the same age, let their age be x.
Then, their average is

\(\frac{x+x}{2} = \frac{2x}{2} = x\)

Let \(S_{i}\) denote the age of 'i' girls.
Then, \(S_{8} = S_{6} + x + x - eq(1)\)

Also, we have,

\(\frac{S_{8}}{8} =15 - eq(2)\)

\(\frac{S_{6}}{6} =13 - eq(3)\)

Then eq(2):

(from eq(1) and eq(3))

\(\frac{S_{6} + 2x}{8} =15\\\\\frac{13*6 + 2x}{8} = 15\\\\78+2x = 120\\\\2x = 120-78\\\\x = 21\)

The average of the other two girls with equal age​ is 21

Answer:

Approximately 100 times.

Step-by-step explanation:

There is a 50% chance of a coin landing heads or tails if you flip only one.

That means that if you flip two coins, one of them will land heads up.

If you flip 200 coins, about 100 of them will land heads up.

Answer:

The mistake is in the 1st to 2nd step

They did not distribute 4(7-13).

If they distributed properly, it would be 28-52 instead of 28-13.

Step-by-step explanation:

The sum of all possible values of n is 448.

Let n be a positive number.

We are given that 72!/n is a multiple of 2^n, but not a multiple of 2^(n-1).

We can start by finding all values of n that fit this criteria:

n = 1: 72!/1 = 479001600 is not a multiple of 2^1, but is a multiple of 2^0.

n = 2: 72!/2 = 1197500400 is not a multiple of 2^2, but is a multiple of 2^1.

n = 3: 72!/3 = 59875200 is a multiple of 2^3, but not a multiple of 2^2.

n = 4: 72!/4 = 29937600 is a multiple of 2^4, but not a multiple of 2^3.

n = 5: 72!/5 = 14968800 is a multiple of 2^5, but not a multiple of 2^4.

n = 6: 72!/6 = 7484400 is a multiple of 2^6, but not a multiple of 2^5.

n = 7: 72!/7 = 3742200 is a multiple of 2^7, but not a multiple of 2^6.

n = 8: 72!/8 = 1871100 is a multiple of 2^8, but not a multiple of 2^7.

n = 9: 72!/9 = 935550 is a multiple of 2^9, but not a multiple of 2^8.

n = 10: 72!/10 = 467775 is a multiple of 2^10, but not a multiple of 2^9.

Therefore, the sum of all possible values of n is 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55 = 448.

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Answer:

1. 8

2. 63

3. 36

4. 30

5. 42

Step-by-step explanation:

it just is

A set of simultaneous equations is often known as a system of equations or an equation system. The solution of the system of equations is (4.123, 5.754) and (-1.662, 3.085).

A set of simultaneous equations, often known as a system of equations or an equation system, is a finite collection of equations for which common solutions are sought.

Inconsistent System

For a system of equations to have no real solution, the lines of the equations must be parallel to each other.

Consistent System

1. Dependent Consistent System

For a system of the equation to be a Dependent Consistent System, the system must have multiple solutions for which the lines of the equation must be coinciding.

2. Independent Consistent System

For a system of the equation to be an Independent Consistent System, the system must have one unique solution for which the lines of the equation must intersect at a particular.

The solution of the two of the given function will be when the graph of the two the function will intersect with each other.

Using the graph the solutions are (4.123, 5.754) and (-1.662, 3.085)

Hence, the solution of the system of equations is (4.123, 5.754) and (-1.662, 3.085).

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Answer:

\(2\sqrt{46}\)

Step-by-step explanation:

The factor of the 184 will be 2 × 2 × 46. Then the expression is equivalent to the expression 2√46, Then the correct option is B.

The equivalent is the expression that are in different forms but are equal to the same value.

The given expression is √184.

Then the factor of the 184 will be

184 = 2 × 2 × 46

Then the square root of 184 will be

√184 = 2√46

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Step-by-step explanation:

she sell 5piece out of 6 per hour

for 36 hour, she sell:

5 × 36 = 180piece of pie

one pie is cut to 6 piece

180/6 = 30pie

Answer:

And line passes through the point (-6,5). we get y=mx+b => 5 = -4(-6)+b => b = 5-24 => b=-19.

Step-by-step explanation:

The equation of the line that passes through the given point is y=6/5 x + 2.

Given that, the line that passes through the point (5, -2) and has a slope of 6/5.

The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.

The standard form of the slope intercept form is y=mx+c.

Put m=6/5 and (5, -2) in y=mx+c, that is

-2 = 6/5 × (-2) + c

⇒ -2 = -12/5 + c

⇒ -10 = -12 + c

⇒ c = 2

Put m=6/5 and c=2 in y=mx+c, we get

y=6/5 x + 2

Therefore, the equation of the line that passes through the given point is y=6/5 x + 2.

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