If A={1,2,3}, B= {} show that A is not equal to B

Answers

Answer 1

In set theory, two sets are considered equal if they have the same elements. In this case, A is a set containing the elements 1, 2, and 3, while B is an empty set (also known as the null set),

A contains three distinct elements, and B contains none, we can conclude that A and B are not equal, i.e., A is not equal to B.

A ≠ B

Set theory is a branch of mathematics that studies collections of objects, called sets, and the relationships between them. A set is defined as a well-defined collection of distinct objects, which can be anything from numbers and letters to more abstract concepts like functions and geometrical shapes. The set theory provides a foundation for other areas of mathematics, including algebra, topology, and logic.

One of the fundamental concepts of set theory is the notion of membership, which states that an object either belongs to a set or does not. Sets can also be combined through operations such as union, intersection, and complementation, and the relationships between sets can be represented using Venn diagrams.

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Related Questions

A dealer sold 200 tenis rackets. Some were sold for $33 each, and the rest were sold on sale for $18 each. The total receipts from these sales were $4,800. How many rackets did the dealer sell for $18 each?

Answers

The number of tennis rackets sold by dealer for $18 is 120.

What is meant by the term linear equation?A linear equation is an equation with the highest degree of one. This means that in a linear equation, no variable has an exponent greater than 1. A linear equation's graph is always a straight line.

Let "x" be the number of tennis rackets that sell for $18 each.

Then, 200 - x be the number which sell for $33 each.

The total cost is $4,800.

18x + 33(200 - x) = 4800

18x + 6600 - 33x = 4800

-15x = -1800

x = 120

Thus, the number of tennis rackets sold by dealer for $18 is 120.

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Joseph has a bag filled with 3 red, 3 green, 9 yellow, and 10 purple marbles. Determine P(not purple) when choosing one marble from the bag. 60% 40% 24% 10%

Answers

The probability of not selecting a purple marble when choosing one marble from the bag is 60%.

To determine the probability of not selecting a purple marble when choosing one marble from the bag, we need to find the number of marbles that are not purple and divide it by the total number of marbles in the bag.

The number of marbles that are not purple is the sum of red, green, and yellow marbles. Therefore, the number of marbles that are not purple is 3 + 3 + 9 = 15.

The total number of marbles in the bag is the sum of all the marbles: 3 + 3 + 9 + 10 = 25.

So, the probability of not selecting a purple marble is 15/25 = 0.6, which is equivalent to 60%.

Therefore, the probability of not selecting a purple marble when choosing one marble from the bag is 60%.

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Pls help me out!!!!!!!!

Pls help me out!!!!!!!!

Answers

Answer:

\(60+3x+5x=180\\8x=120\\x=15\)

\(\angle ABC=5x=5\times15=75\textdegree\\\angle ACB=3x=3\times15=45\textdegree\)

-1 greater or less than -6

Answers

greater
because -1 is closer to zero than -6 so that means that it is greater

Answer: -1 is greater than -6

Step-by-step explanation:

It is greater because it is closer to 0 than -6 therefore it is greater to becoming a positive number so it is greater than -6.

With the help of a frequency distribution (FreqDist), show these words in decreasing order of frequency.

Answers

This will print the words in decreasing order of frequency. In summary, to show words in decreasing order of frequency using a frequency distribution.

Tokenize the text: Tokenization is the process of splitting the text into individual words or tokens. Create a frequency distribution: Once you have tokenized the text, you can create a frequency distribution using the FreqDist function from NLTK. This function takes a list of tokens as input and calculates the frequency of each word. For example, if the tokens are ["I", "love", "to", "eat", "apples", "I", "love"], the frequency distribution would be {"I": 2, "love": 2, "to": 1, "eat": 1, "apples": 1}.

Sort the frequency distribution: Next, you need to sort the frequency distribution in decreasing order of frequency. You can use the sorted() function in Python, specifying the key as the frequency value. For example, if the frequency distribution is, the sorted distribution would be [("I", 2), ("love", 2), ("to", 1), ("eat", 1), ("apples", 1)].Display the sorted words: Finally, you can print the words in decreasing order of frequency, along with their respective frequencies. For example, the sorted words from the previous step would be displayed as:


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Three softball players discussed their batting averages after a game.


Probability
Player 1 four sevenths
Player 2 six tenths
Player 3 five ninths


Compare the probabilities and interpret the likelihood. Which statement is true?
Player 1 is more likely to hit the ball than Player 2 because P(Player 1) > P(Player 2).
Player 3 is more likely to hit the ball than Player 1 because P(Player 3) > P(Player 1).
Player 2 is more likely to hit the ball than Player 1 because P(Player 2) > P(Player 1).
Player 3 is more likely to hit the ball than Player 2 because P(Player 3) > P(Player 2).

Three softball players discussed their batting averages after a game. ProbabilityPlayer 1 four seventhsPlayer

Answers

The statement "Player 2 is more likely to hit the ball than Player 1 because P(Player 2) > P(Player 1)" is the correct statement.

To compare the probabilities and interpret the likelihood of the players hitting the ball, we need to examine their batting averages.

The batting averages given are:

Player 1: 4/7

Player 2: 6/10 (which can be simplified to 3/5)

Player 3: 5/9

To compare these probabilities, we can convert them to decimal form:

Player 1: 4/7 ≈ 0.5714

Player 2: 3/5 = 0.6

Player 3: 5/9 ≈ 0.5556

Now, let's analyze the likelihood:

Comparing Player 1 (0.5714) to Player 2 (0.6), we can see that Player 2 has a higher batting average. So, it is not true that Player 1 is more likely to hit the ball than Player 2.

Comparing Player 1 (0.5714) to Player 3 (0.5556), we can see that Player 1 has a higher batting average. So, it is not true that Player 3 is more likely to hit the ball than Player 1.

Comparing Player 2 (0.6) to Player 1 (0.5714), we can see that Player 2 has a higher batting average. So, it is true that Player 2 is more likely to hit the ball than Player 1.

Comparing Player 2 (0.6) to Player 3 (0.5556), we can see that Player 2 has a higher batting average. So, it is true that Player 2 is more likely to hit the ball than Player 3.

Therefore, the statement "Player 2 is more likely to hit the ball than Player 1 because P(Player 2) > P(Player 1)" is the correct statement.

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a particular triangle has sides of length 14 cm, 8 cm and 9 cm. in centimeters, what is the perimeter of the triangle?

Answers

Answer:

31cm

Step-by-step explanation:

14 + 8 + 9 = 31

Make sure to add the cm on the end!

The perimeter of the triangle is 31cm.

The perimeter of the triangle with sides of length 14 cm, 8 cm and 9 cm is 31 cm. This can be calculated by simply adding up the length of each side. To explain, the perimeter of a triangle is the sum of the lengths of all three sides.

In this particular triangle, the length of side 1 is 14 cm, the length of side 2 is 8 cm and the length of side 3 is 9 cm. When we add these three lengths, we get the perimeter of the triangle: 14 cm + 8 cm + 9 cm = 31 cm.

In general, to calculate the perimeter of any triangle, we first have to identify the lengths of all three sides. Then, we simply add these lengths together to get the perimeter.

For example, if the triangle had sides of lengths 4 cm, 5 cm and 6 cm, then the perimeter would be 4 cm + 5 cm + 6 cm = 15 cm.

In conclusion, the perimeter of any triangle can be calculated by adding together the length of each side. In the case of the particular triangle in question, the perimeter is 31 cm.

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what is the the distance between the two points?

what is the the distance between the two points?

Answers

Answer:

From A 12 units right and 5 units down.

                               OR

From A 5 units down and 12 units right.

So, altogether 17 units.

So we have a height of 5 and a length of 12. Since we have a right triangle, then we know we can use a^2+b^2=c^2

a^2 = 5x5 = 25
b^2 = 12x12 = 144
144+25= 169

The square root of 169 is 13, so the distance between the two points is 13 units

Write an equation of the parabola with a vertex of (4, 3) and passing through points (2, -9) and (5,0).
Complete the equation for the parabola in standard form.

Answers

Answer: y = -3x^2 + 24x - 45

Step-by-step explanation:

To find the equation of the parabola with a vertex of (4, 3) and passing through points (2, -9) and (5, 0), we can use the vertex form of a parabolic equation:

y = a(x - h)^2 + k

Here, (h, k) is the vertex of the parabola. So, we have:

y = a(x - 4)^2 + 3

Now, we need to find the value of 'a' using the two points (2, -9) and (5, 0).

First, let's plug in the point (2, -9):

-9 = a(2 - 4)^2 + 3

-9 = a(-2)^2 + 3

-9 = 4a + 3

Subtract 3 from both sides:

-12 = 4a

Now, divide both sides by 4:

a = -3

Now that we have the value of 'a', we can plug it back into the equation:

y = -3(x - 4)^2 + 3

This is the equation of the parabola in vertex form. To convert it to standard form, we can expand the equation:

y = -3(x^2 - 8x + 16) + 3

y = -3x^2 + 24x - 48 + 3

Now, combine the constants:

y = -3x^2 + 24x - 45

This is the equation of the parabola in standard form.

The equation exdydx=yexdydx=y is linear, but dydx+x2exy=exdydx+x2exy=ex is not linear.

Answers

It has proved that the equation \(e^{(x)} * (dy/dx) = y * e^{(x)} * (dy/dx)\) is linear and the equation \((dy/dx) + x^2 * e^{(x)} * y = e^{(x)}\) is not linear.



The equation \(e^{(x)} * (dy/dx) = y * e^{(x)} * (dy/dx)\) is linear because it can be written in the standard form of a linear first-order ordinary differential equation, which is:
dy/dx + P(x) * y = Q(x)

In this case, we can divide both sides of the equation by \(e^{(x)}\) to obtain:
dy/dx = y * (dy/dx)

Now, we can compare this to the standard form and observe that P(x) = 0 and Q(x) = y * (dy/dx).

Since the equation is in the standard form, it is linear.

On the other hand, the equation \((dy/dx) + x^2 * e^{(x)} * y = e^{(x)}\) is not linear.

While it may seem similar to the standard linear form, the presence of the \(x^2 * e^{(x)} * y\) term is what makes it non-linear.

In a linear equation, the term involving y should be of the form P(x) * y, where P(x) is a function of x only.

However, in this case, the term \(x^2 * e^{(x)} * y\) involves both x and y, making the equation non-linear.

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Essay on the price of success is hard work 150-200 words

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Hard work is the price for achieving success in life.

What is the Price of success Hard work?

Success is a goal that many individuals strive for in various aspects of life, whether it be in their careers, relationships, or personal achievements. However, the price one must pay for success is often overlooked or underestimated. Hard work is the currency that must be exchanged to attain true success.

Hard work is the driving force behind any accomplishment. It requires dedication, perseverance, and a willingness to push through challenges and setbacks. Success rarely comes easy; it demands relentless effort and commitment. The price of success is measured by the countless hours spent honing skills, the sacrifices made to prioritize goals over immediate gratification, and the determination to overcome obstacles.

Moreover, hard work molds character and instills discipline. It teaches individuals the value of persistence and the importance of staying focused on long-term objectives. Through hard work, individuals develop resilience and learn to embrace failure as an opportunity for growth. The challenges faced during the pursuit of success become invaluable lessons that shape one's character and strengthen their resolve.

Ultimately, the price of success is not just about the effort put into achieving a particular goal; it is about the transformative journey one embarks upon. Hard work is the catalyst that propels individuals towards their aspirations and allows them to reach their full potential.

In conclusion, success is not a destination but a lifelong endeavor. The price to be paid for success is hard work, dedication, and a willingness to overcome obstacles. Those who are willing to invest their time and energy into their goals are the ones who reap the rewards of accomplishment. Success may be challenging to attain, but the journey towards it is a testament to an individual's determination, resilience, and unwavering commitment to their aspirations.

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The perimeter of a rectangle is 234 meters.
The rectangle is twice as long as it is wide.
What are its length and width?

Answers

I am going to show you how easy this is. Once you understand, you will be able to do this forever.

:

Assuming the side of the rectangle are (L) length and (W) width, the perimeter:

2L + 2W = 234

:

"the rectangle is twice as long as it is wide,", the equation for this statement:

L = 2W

:

In the first equation, we can replace L with 2W, then we have

2(2W) + 2W = 234

4W + 2W = 234

6W = 234

Divide both sides by 6

W = 234%2F6

W = 39 meters is the width

:

Remember it said the length is twice the width, therefore:

L = 2(39)

L = 78 meters is the length

:

:

Check this by finding the perimeter with these values

2(78) + 2(39) =

156 + 78 = 234

someone plz help !
A town currently has a population of 1,000,000, and the population is increasing 6 percent every year. Write a recursive function in now-next form to predict the population at any year in the future.

Answers

Answer:

Y=x(t)(0.06) + x

Y =predicted population

X= population currently

t= number of years

Y= 60000(t) + 1000000

Step-by-step explanation:

Let the current population be x

X= 1000000

The rate of increase= 6% each year

Let the the predicted population= y

If the population is to increase by 6% each year the function predicting the population at the future will be

Y=x(t)(0.06) + x

The only changing value in the above formula is the time.

Y= 1000000(0.06)(t) +1000000

Y= 60000(t) + 1000000

Answer: The actual answer is:

next = now x 1.06, starting at 1,000,000

Alice invests R6500 in an account paying 3% compound interest per year. Bob invests R6500 in an account paying r% simple interest per year. At the end of the 5th year, Alice and Bob's accounts both contain the same amount of money. Calculater, giving your answer correct to 1 decimal place. A 3.0% B. 15.9% C. 3.2% D. 4.4%

Answers

The simple interest rate that will ensure that Bob's investment of R6,500 equals Alice's 3% compound interest per year investment is 3.2%.

What differentiates simple interest from compound interest?

The difference between simple interest and compound interest is that simple interest computes interest on the principal only for each period.

Compound interest computes interest on both the principal and accumulated interest for each period.

Alice:

Principal investment = R6,500

Compound interest rate per year = 3%

Investment period = 5years

Future value = R7,535.28 (R6,500 x 1.03⁵)

Total Interest R1,035.28 (R7,535.28 - R6,500)

Bob:

Principal invested = R6,500

The simple interest rate = r

Investment period = 5years

The future value of the simple interest investment, A = P(1+rt)

7,535.28 = 6,500(1 + 5r)

Dividing each side b 6,500:

1.15927 = (1 + 5r)

5r = 0.15927

r = 0.031854

r - 0.032

r = 3.2% (0.32 x 100)

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Question Completion:

Calculate r, giving your answer correct to 1 decimal place.

Please help with 12 and 13 please thank you!!!!

Please help with 12 and 13 please thank you!!!!

Answers

Answer:

12) q+11=-15

13) m-30=10

Answer:

12. q = -26

13. m = 20

Step-by-step explanation:

12.

q + 11 = -15

q = -15 - 11

-26 - 11 = -15

13.

30 - m = 10

m = 30 - 10

30 - 20 = 10

Hopefully this helps:)

Can someone help me please? Thanks!!

Can someone help me please? Thanks!!

Answers

Answer:

Since this triangle is isosceles, we know that the base angles are both x so we can write:

x + x + 32 = 180

2x + 32 = 180

2x = 148

x = 74°

Answer:

m∠x = 74°

Step-by-step explanation:

We are given 2 side lengths are are the same. This means that the triangle is an isosceles triangle and the other angle is also x (and congruent to the given x). Therefore,

2x + 32 = 180

2x = 148

x = 74

The U.S. Senate consists of 100 senators, with 2 from each of the 50 states. There are 50 Democrats in the Senate. A committee of size 10 is formed, by picking a random set of senators such that all sets of size 10 are equally likely. a) Find the expected number of Democrats on the committee. b) Find the expected number of states represented on the committee (by at least one senator) c) Find the expected number of states such that both of the state's senators are on the committee.

Answers

Note that based on probabilities,

The expected number of Democrats on the committee is 5.

The expected number of states represented on the committee is 26.

The expected number of states such that both of the state's senators are on the committee is 9.09.

 How is this so ?

a)  The probability that a randomly chosen senator is a Democrat is 50/100 = 1/2.

So, the expected number of Democrats on a committee of size 10 is

1/2 * 10 = 5.

b) The minimum number of   states that can be represented on a committee of size 10 is 2, and the maximum numberis 50.

The expected number of states representedon the committee is the average of these two values, which is (2 + 50)/  2 = 26.

c)  There are 50 states, and each state has 2 senators. So, there are a total of 100 pairs of senators.

The probability that a randomly chosen pair of senators both belong to the same state is 50/100 * 49/99

= 1/11.

The expected number of states such that both of the state's senators are on the committee is 100 * 1/11 = 9.09.

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Netflix charges David $15 per month for a membership, plus a one time $5 fee to stream on his phone. How many months will David have his membership if Netflix charges David $50?

Answers

Answer:

David will have his membership for 3 months.

Step-by-step explanation:

For the first month + the one-time mobile fee, that is $15 for one month + $5 for the fee.

So far, he has been charged $20.

Another month's cost is $15 more, which will bring his total cost to $35.

Another month's cost is $15 more, which will bring his total cost to $50.

If Netflix charges David $50, that means he will have paid the mobile fee, and have had his membership for 3 months.

Need help ASAP !!!!!!!!!!

Need help ASAP !!!!!!!!!!

Answers

Answer:

y =1/2x + 2

Step-by-step explanation:

Rise/run and then the y intercept

how many ways are there for 8 men and 5 women to stand in aline so that no two women stand next to each other

Answers

There are 126 number of ways for 8 men and 5 women to stand in a line such that no two women stand next to each other.

To determine the number of ways for 8 men and 5 women to stand in a line such that no two women stand next to each other, we can use the concept of permutations.

First, let's consider arranging the 8 men in a line. There are 8! (8 factorial) ways to arrange them.

Next, let's create spaces between the men where the women can stand.

Since no two women can stand next to each other, we need to distribute these spaces among the 8 men.

There are 9 spaces available: one at the beginning of the line, one at the end, and seven spaces between the men.

To ensure that no two women stand next to each other, we can choose 5 spaces out of the 9 available spaces for the women to occupy.

We can do this in (9 choose 5) ways, which is denoted as C(9, 5) or binomial coefficient.

The formula for the binomial coefficient is:

\(\[C(n, k) = \frac{{n!}}{{k! \cdot (n-k)!}}\]\)

In this case, we have:

\(\[C(9, 5) = \frac{{9!}}{{5! \cdot (9-5)!}} = \frac{{9!}}{{5! \cdot 4!}} = \frac{{9 \cdot 8 \cdot 7 \cdot 6}}{{4 \cdot 3 \cdot 2 \cdot 1}} = 126.\]\)

Therefore, there are 126 ways.

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if you roll two fair six-sided dice, what is the probability that the sum is 4 44 or higher?

Answers

444 would be the answer.

The probability of rolling two fair six-sided dice and getting a sum of 4 or higher is 11/12

To calculate the probability of rolling two fair six-sided dice and getting a sum of 4 or higher, we first need to calculate the total number of possible outcomes.

The number of possible outcomes when rolling two dice is 6 × 6 = 36, since each die has 6 possible outcomes.

Now, let's find the number of outcomes that result in a sum of 4 or higher. We can do this by listing all the possible outcomes:

Sum of 4: (1, 3), (2, 2), (3, 1) = 3 outcomes

Sum of 5: (1, 4), (2, 3), (3, 2), (4, 1) = 4 outcomes

Sum of 6: (1, 5), (2, 4), (3, 3), (4, 2), (5, 1) = 5 outcomes

Sum of 7: (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), (6, 1) = 6 outcomes

Sum of 8: (2, 6), (3, 5), (4, 4), (5, 3), (6, 2) = 5 outcomes

Sum of 9: (3, 6), (4, 5), (5, 4), (6, 3) = 4 outcomes

Sum of 10: (4, 6), (5, 5), (6, 4) = 3 outcomes

Sum of 11: (5, 6), (6, 5) = 2 outcomes

Sum of 12: (6, 6) = 1 outcome

Therefore, the number of outcomes that result in a sum of 4 or higher is 3 + 4 + 5 + 6 + 5 + 4 + 3 + 2 + 1 = 33.

Therefore, the probability of rolling two fair six-sided dice and getting a sum of 4 or higher is 33/36 = 11/12.

To find the probability of getting a sum of 44 or higher, we need to subtract the probability of getting a sum of 43 or lower from 1:

Sum of 2: (1, 1) = 1 outcome

Sum of 3: (1, 2), (2, 1) = 2 outcomes

Sum of 4: (1, 3), (2, 2), (3, 1) = 3 outcomes

Sum of 5: (1, 4), (2, 3), (3, 2), (4, 1) = 4 outcomes

Sum of 6: (1, 5), (2, 4), (3, 3), (4, 2), (5, 1) = 5 outcomes

Sum of 7: (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), (6, 1) = 6 outcomes

Sum of 8: (2, 6), (3, 5), (4, 4), (5, 3), (6, 2) = 5 outcomes

Sum of 9: (3, 6), (4, 5), (5, 4), (6, 3) = 4 outcomes

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Which one?
A. B. C. or D? ​

Which one? A. B. C. or D?

Answers

Answer: C

Explanation

Answer: c

Step-by-step explanation: distribute -7p by multiplying it by 8p first, which gives you -56p squared. Then multiply the -7p by -1 which gives you 7p as the two negatives will cancel out.

One of the output functions of a three inputs 3x8 decoder combinational output function in sum-of- minterms form: F = (0,1,2,3,7). What is the c function of this output? a) (x + y) (y+z) b) (x+y)(x+z) c) (y + 2) (x + 2)

Answers

The correct option is a) (x + y) (y + z). Given the output function F in sum-of-minterms form as F = (0, 1, 2, 3, 7), we need to determine the corresponding Boolean expression for the output function.

A 3x8 decoder has three input variables (x, y, z) and eight output variables, where each output variable corresponds to a unique combination of input variables. The output variables are typically represented as minterms.

Let's analyze the given output function F = (0, 1, 2, 3, 7). The minterms represent the outputs that are equal to 1. By observing the minterms, we can deduce the corresponding Boolean expression.

From the minterms, we can see that the output is equal to 1 when x = 0, y = 0, z = 0 or x = 0, y = 0, z = 1 or x = 0, y = 1, z = 0 or x = 0, y = 1, z = 1 or x = 1, y = 1, z = 1.

By simplifying the above conditions, we get (x + y) (y + z), which is the Boolean expression corresponding to the given output function F.

In summary, the correct option is a) (x + y) (y + z).

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every three minutes a bus is leaving the airport to drive to the city centre. a car leaves the airport at the same time as a bus und travels the same route as the bus to the city centre. every bus takes 60 minutes for the journey from the airport to the city centre, the car only 35 minutes. how many buses does the car overtake on its way to the city centre? the bus that starts at the same time as the car does not count.

Answers

The car οvertakes twο buses οn its way tο the city center with the given time and distance.

If the autοmοbile and the bus bοth mοved at the same pace, hοw wοuld the answer change?  

On its jοurney tο the city centre, the autοmοbile wοuld never pass any buses if it mοved at the same pace as the bus. This is due tο the fact that if bοth the autοmοbile and the bus are mοving at the same speed, their separatiοn will remain cοnstant. Hence, withοut passing any buses, the autοmοbile wοuld arrive in the city centre at the same time as the bus.

Let us suppοse the distance = p.

The distance travelled by the bus in 60 minutes is d/60.

The distance cοvered by the bus in 35 minutes is:

d/60(35)

Fοr the first bus:

It leaves 60 minutes befοre car, thus the distance travelled is:

(d/60) x 60.

If the car οvertakes thus bus by an additiοnal distance x, then the distance travelled by car is:

d = (d/60) x 35 + (d/60) x 60 + x

d = (5/12)d + x

x = 7/12 d

Fοr the secοnd bus:

The bus wοuld have left the airpοrt 120 minutes befοre the car:

(d/60) x 120

The distance cοvered by car with additiοnal distance y is:

d = (d/60) x 35 + (d/60) x 60 + (7/12)d + y

d = (5/6)d + y

y = 1/6d

The car οvertakes the bus thus,

(7/12)d + (1/6)d = d

d = 12/5

Therefοre, the car οvertakes twο buses οn its way tο the city centre.

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2.5 L = ? mL
What Is mL I Really need help

Answers

Answer: 2.5 liters = 2500 mililiters

Answer:

2500 ml

steps :

1 L = 1000 ml

there for ,

2.5 L = 2500 ml

Explain it too and is it x method?

Explain it too and is it x method?

Answers

Look when I factored this question I got 4(x+6)(x-8)
So Iam not sure either what the correct answer is but that’s what I got

Considering a discrete LTI system, if the input is δ[n] what would be the output? Select one: The impulse response h[n] It cannot be known without knowing the system The output is δ[n] Unit step function, u[n] The output is cos[w 0

n]

Answers

In a discrete LTI (Linear Time-Invariant) system, when the input is the impulse function δ[n], the output is known as the impulse response h[n].

This response characterizes the system's behavior and provides information about how the system processes and transforms the input signal. By applying the impulse function as the input, we can observe the system's response and determine its unique characteristics.

In the context of discrete LTI systems, the impulse response h[n] is a fundamental concept. When the input to the system is the impulse function δ[n], which represents an infinitesimally short and high-amplitude pulse at n = 0, the system's output is precisely the impulse response. The impulse response is the system's behavior when subjected to the impulse input, and it provides valuable insights into the system's properties, such as its filtering characteristics, frequency response, and time-domain behavior.

By analyzing the impulse response, we can understand how the system modifies and processes signals over time. It reveals information about the system's stability, causality, linearity, and time-invariance. Furthermore, the impulse response serves as the basis for understanding the system's response to other input signals through convolution. By convolving the impulse response with an arbitrary input signal, we can determine the system's output for that particular input.

Therefore, when the input to a discrete LTI system is the impulse function δ[n], the output is known as the impulse response h[n]. This output plays a crucial role in understanding and analyzing the behavior and characteristics of the system.

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I don't understand this one can someone pls help me

I don't understand this one can someone pls help me

Answers

Answer:

3.14:1

Step-by-step explanation:

A tire is circular. You can get circumference by multiplying the diameter by π, which means circumference:diameter is equal to 3.14:1.

The volume of this prism is 4375cm3.
The area of the cross-section is 125cm2.
Work out x

Answers

Answer:

x is 35 cm

Step-by-step explanation:

To find the value of x, we will divide the volume by the cross-section

Mathematically, that will be;

4375/125 = 35 cm

A class consists of 12 boys and 15 girls. Find the probability of selecting a boy.

The probability of selecting a boy is ________

Answers

The likelihood of choosing a male is 4/9. As a result, the likelihood of choosing a male is 4/9, or roughly 0.444.

what is probability ?

A number between 0 and 1, where 0 denotes an improbable event and 1 denotes a certain event, is used to express it. In many fields, including mathematics, statistics, science, economics, and gambling, probability is utilized to make predictions and guide decision-making. It is also employed in commonplace circumstances like forecasting the weather or odds of winning a game.

given

Choosing a boy from a class of 12 boys and 15 girls has the following likelihood:

There are 12 boys.

There are a total of 12 plus 15 students, or 27.

Chance of choosing a boy is calculated as follows: boys/students.

The likelihood of choosing a male is 12/27.

When we simplify the fraction, we obtain:

The likelihood of choosing a male is 4/9. As a result, the likelihood of choosing a male is 4/9, or roughly 0.444.

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