Tell what you would compute in npr or nCr form, whichever is appropriate to the situation (.e., does order matter or not?), but do not compute it. For example, for the number of ways 5 letters could b

The percentage change in frequency is 0%.Hence, the natural frequency of torsional vibration of the custen is given by f = 25.7 / L₀^(1/2) and the percentage change in frequency is 0%.

We are given that:

Total moment of inertia of moving parts = I = 1 kgm²

Moment of inertia of air-screw = I = 18 kgm²

Outer diameter of hollow shaft = D₀ = 80 mm

Inner diameter of hollow shaft = Dᵢ = 35 mm

Length of hollow shaft = L = 0.30 m

Stiffness of the crank-throw = K = 2.5 × 10⁴ Nm/rad

Shear modulus of elasticity = G = 83000 N/mm²

We need to calculate the natural frequency of torsional vibration of the custen.

The formula for natural frequency of torsional vibration is: f = (1/2π) [(K/L) (J/GD)]^(1/2)

Where, J = Polar moment of inertia

J = (π/32) (D₀⁴ - Dᵢ⁴)

The formula for equivalent length of hollow shaft is given by:

q₁ = q₁₁ + q₁₂

Where, q₁₁ = (π/32) (D₀⁴ - Dᵢ⁴) / L₁q₁₂ = (π/64) (D₀⁴ - Dᵢ⁴) / L₂

L₁ = length of outer diameter

L₂ = length of inner diameter

For the given shaft, L₁ + L₂ = L

Let L₁ = L₀D₀ = D = 80 mm

Dᵢ = d = 35 mm

So, L₂ = L - L₁= 0.3 - L₀...(1)

For the given crank-throw, q₁ = (π/32) (D⁴ - d⁴) / L, where D = 80 mm and d = 80 mm

Hence, q₁ = (π/32) (80⁴ - 35⁴) / L

Therefore, q₁ = (π/32) (80⁴ - 35⁴) / L₀...(2)

From the formula for natural frequency of torsional vibration, f = (1/2π) [(K/L) (J/GD)]^(1/2)

Substituting the values of K, J, G, D and L from above, f = (1/2π) [(2.5 × 10⁴ Nm/rad) / (L₀) ((π/32) (80⁴ - 35⁴) / (83000 N/mm² (80 mm)³))]^(1/2)f = (1/2π) [(2.5 × 10⁴ Nm/rad) / (L₀) (18.12)]^(1/2)f = 25.7 / L₀^(1/2)...(3)

Now, if we assume that the air-screw mass is infinite, then the moment of inertia of the air-screw is infinite.

Therefore, the formula for natural frequency of torsional vibration in this case is:

f = (1/2π) [(K/L) (J/GD)]^(1/2)Substituting I = ∞ in the above formula, we get:

f = (1/2π) [(K/L) (J/GD + J/∞)]^(1/2)f = (1/2π) [(K/L) (J/GD)]^(1/2)f = 25.7 / L₀^(1/2)

So, in this case also the frequency is the same.

Therefore, the percentage change in frequency is 0%.Hence, the natural frequency of torsional vibration of the custen is given by f = 25.7 / L₀^(1/2) and the percentage change in frequency is 0%.

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Answer:

A: (-10, 2)

B: (-5, 2)

C: (-5, 7)

D: (-10, 7)

Step-by-step explanation:

When you reflect over the x axis, you flip the y value, so that what I did.

The probability of pulling out a blue ball is 1/3

This is a likelihood or chance that an event will occur. Mathematically:

Probability = Expected/Total outcome

If someone randomly reaching into a bag of 8 red table tennis balls and 4 blue table tennis balls, the total outcome is:

Total outcome = 8 + 4 = 12 balls

If a blue ball is pulled out then the probability of pulling it out is:

Pr(blue ball) = 4/12 = 1/3

Hence the probability of pulling out a blue ball is 1/3

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To determine if the given points are part of the (200) plane, we need to check if their coordinates satisfy the equation of the plane.

The equation of a plane in three-dimensional space is typically written in the form Ax + By + Cz + D = 0, where A, B, C, and D are constants. For the (200) plane, the equation would be 2x + 0y + 0z + 0 = 0, which simplifies to 2x = 0. Let's check the given points: a) (1/2, 0, 0): When we substitute x = 1/2 into the equation 2x = 0, we get 2(1/2) = 0, which is true. Therefore, point a) lies on the (200) plane. b) (-1/3, 0, 0): Substituting x = -1/3 into the equation 2x = 0 gives us 2(-1/3) = 0, which is also true. So, point b) is part of the (200) plane. c) (0, 1, 0):When we substitute x = 0 into the equation 2x = 0, we get 2(0) = 0, which is true. Thus, point c) lies on the (200) plane. All three given points (a), b), and c)) are part of the (200) plane.

In conclusion, all three given points (a), b), and c)) are part of the (200) plane.

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Explanation:

The Poisson PDF value is given by the function

P(x) = ( e^(-mu)*mu^x )/(x!)

where the exclamation mark indicates a factorial

In this case, mu = 4, so we can update the equation into

P(x) = ( e^(-4)*4^x )/(x!)

Now plug in x = 3 to finish off the problem

P(x) = ( e^(-4)*4^x )/(x!)

P(3) = ( e^(-4)*4^3 )/(3!)

P(3) = 0.1953668148129

P(3) = 0.20

Note: The 'e' is a special constant which is approximately e = 2.718, similar to how pi = 3.14 is a constant used often.

Answer: x=-1, y= -3

Step-by-step explanation:

1.substitute y for -3

[2x-(-3)=1]

2.simplify

[2x+3=1]

3. Isolate x for 2x+3

x= -1,y=-3

Answer:

1. mean-The mean is the average value of the data you collect. In statistics, you find the mean of your sample. Then you use that mean to approximate the mean of the entire population. If you want the mean of the data to be a good approximation of the mean of the entire population, your need to make sure that you collect a random sample. To find the mean, you find the sum of the data points you collected and divide it by the number of data points in the set. For example, if the data you collected was {3, 3, 6}. Then the mean would be (3 + 3 + 6) ÷ 3 = 12 ÷ 3 = 4. It's important to note that the mean does not have to be a data point in your set. You can generalize the formula as well. If you collect n data points {d1, d2, d3, … dn}, then the mean of your data set is . The Greek letter μ—pronounced "mu"—is used because the word "mean" begins with the letter "m." It is important that you divide by the number of data points in your set, n.

2. Population-A population is the entire group you want to understand. So, in a certain sense, you can think of the population as the "opposite" of the sample because a sample is not the entire population. A sample is chosen subset upon that you use to draw conclusions about the entire population.

3. Experiment-An experiment is a well-defined procedure under controlled conditions designed to gather data that tests a hypothesis. For example, you want to test the hypothesis that flowers grow faster when they are watered every other day as opposed to every day. Then you could water one set of plants every day and another set of plants every other day. What data would you collect? The height of each plant once a day. What conditions would you need to control? You would need to make sure that the groups of plants are treated the same in every other way by getting the same amount of sun and being maintained at the same temperature, etc.

4. Sample-A sample is a subset chosen from a population. In most cases, you want a random sample. Why? A random sample has the best chance of accurately representing the entire population.

5. Bais-Bias is the preference for a particular group or subset. In the example above, the bias was toward viewers who like sports. When your sample is not chosen at random, you introduce bias into your study. So, in a certain sense, a biased sample is the opposite of a random sample. Why? In a biased sample, some members of the population are more likely to be chosen than others. In a random sample, every member of the population is equally likely to be chosen. Bias may also occur in surveys. See "survey" below for more information on this type of bias.

6. Survey-A survey is the means of collecting a sample. In statistics, a survey is often a question or set of questions. It is critical that the questions, like the sample itself, be free from bias. Bias in a question tends to favor one response. As an extreme example of a biased question about colors might be, "Don't you think blue is beautiful and yellow is yucky?" An unbiased form of the question might be, "Which color do you prefer, blue or yellow?" Though careful, statisticians might be concerned about the order in which the colors are offered, so that might further simplify the question to, "What is your favorite color?" This type of question is most free from bias because it does not suggest a response and therefore does not favor a response.

7. Random-Random means free from bias. So, if you choose a random sample from a population, every member of the population has an equal chance of being chosen. It should be pointed out that this "true randomness" is an ideal which is difficult to achieve in real world experiments conducted on real world populations. That is why statisticians make every effort to ensure their samples chosen as free from bias as is possible, that is, as randomly as possible under real world conditions.

Step-by-step explanation:

It says what each of them are in each paragraph, you just need to match them up.

Hope this helps :)

Answer:  2: an equation in the form y = mx + b

1. An x/y table may have two entries with the same x; not a function in that case.

2.  That's a line with a slope; for each x there's a single y, definitely a function

3.  Ordered pairs -- like the table, the same x with different ys is possible, which wouldn't be a function.

4. List of numbers  -- a list isn't a function, at least not without more context

While there have been studies suggesting potential benefits of cold showers on the immune system and health outcomes, it is important to note that the evidence is still limited and further research is needed to establish conclusive results. The study you mentioned regarding a clinical trial in the Netherlands is not specified, so I cannot provide specific details about it. However, I can provide some general information on the topic.

1. Immune System Stimulation: Cold exposure, such as taking cold showers, has been hypothesized to stimulate the immune system. Cold showers may activate the body's natural defense mechanisms and increase the production of certain immune cells, potentially enhancing immune function. However, more research is required to fully understand the underlying mechanisms and determine the extent of the immune system's response.

2. Reduced Sick Days: Some studies have suggested that cold showers may contribute to a reduction in sick days. The Netherlands clinical trial you mentioned reported a 29% decrease in sick leave from work. Cold exposure might have effects on the body's stress response, blood circulation, and immune function, potentially influencing overall health and decreasing the likelihood of illness. Nonetheless, it is important to consider other factors that could affect sick leave, such as lifestyle, work environment, and individual susceptibility to illness.

3. Cancer Survival: There is limited scientific evidence linking cold showers to improved cancer survival. Cold exposure, specifically in the form of cryotherapy, has been used as an adjunct therapy in some cancer treatments. It is believed that extreme cold temperatures can potentially enhance the effects of traditional cancer therapies, but the research in this area is still ongoing, and more evidence is required to draw definitive conclusions.

It's worth noting that individual responses to cold exposure may vary, and cold showers might not be suitable or beneficial for everyone, particularly those with certain medical conditions or sensitivities to cold. It is always advisable to consult with healthcare professionals or experts in the field before making significant changes to your health routine or treatment plan.

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Answer:

815

Please give me brainiest and can you answer y free points please in return.

Answer:

I think it's 815

Step-by-step explanation:

I'm not sure tho

Answer:

7

Step-by-step explanation:

The middle 2 numbers are 6 and 8. Add them both up and divide them by 2. Gets you 7.

Answer:

k=-2

Step-by-step explanation:

2(6k+8)-6k=4

12k+16-6k=4

6k+16=4

6k=-12

k=-2

The length of the building in the drawing wiil be 20 cm if the scale is 1cm:2m.

Let the length of the building in the drawing be x.

According to the given question.

Tara measured a boarding school and made a scale drawing. she used the scale 1 centimeter : 2 meters.

So, the given sclae is 1cm : 2m

Also, the actual length of the bulding at the school is 40 meters.

Since, we have to find the the length of the building in the drawing.

Now by the proportional formula we can say that

x : 40 = 1 : 2

⇒ 2x = 40

⇒ x = 20 cm

Hence, the length of the building in the drawing wiil be 20 cm if the scale is 1cm:2m.

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Answer:

if your doing IXL than 20cm is correct

Step-by-step explanation:

Viola needs to jump a distance of 0.04 m on her next attempt to increase her mean to 3.82 m

On average, she has jumped 3.80 m so far. Therefore, the sum of distances jumped so far by her is:

3.80 m × the total number of jumps taken so far.

On the next jump, she reaches 3.99 m. Therefore, after the next jump, the total distance jumped so far by her will be 3.80 m × total number of jumps taken so far + 3.99 m. The new mean is 3.81 m.

Therefore, (3.80 m × total number of jumps taken so far + 3.99 m)/(total number of jumps taken so far + 1) = 3.81.

The above equation can be simplified as 3.80 m × total number of jumps taken so far + 3.99 m = 3.81 m × (total number of jumps taken so far + 1).

This simplifies to 3.80 m × total number of jumps taken so far + 3.99 m = 3.81 m × total number of jumps taken so far + 3.81 m. Now, we need to solve the above equation to find out the distance she needs to jump on her next attempt to increase her mean to 3.82 m.

3.80 m × total number of jumps taken so far + 3.99 m = 3.81 m × total number of jumps taken so far + 3.81 m.

0.01 m = 0.01 m × total number of jumps taken so far.

1 = total number of jumps taken so far. Now, she needs to jump a distance of (3.82 m × (total number of jumps taken so far + 1)) - (3.80 m × total number of jumps taken so far)

= (3.82 m × (1 + 1)) - (3.80 m × 1)

= 3.82 m × 2 - 3.80 m

= 0.04 m

Therefore, she needs to jump a distance of 0.04 m on her next attempt to increase her mean to 3.82 m.

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The number of driving lessons you need to take with a professional instructor before your parents can teach you varies depending on the regulations in your area. In some regions, a specific number of driving lessons is required by law before you can apply for your driver's license. As a result, you should check with your local Department of Motor Vehicles (DMV) or other regulatory agency to learn more about the specific requirements in your area.

In general, however, it is usually beneficial to take as many driving lessons as possible with a professional instructor. Professional driving instructors have been educated in how to teach driving skills safely and effectively. They have also assisted many other people in learning how to drive, and as a result, they have a wealth of knowledge and expertise to draw on.

The more driving lessons you take with a professional instructor, the more chances you'll have to learn and improve your driving abilities. You may be able to practice with your parents after only a few lessons, but it's generally a good idea to take as many as possible with an instructor before doing so. This will give you the best chance of success while you learn to drive safely and confidently.

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Answer: n=5

have an amazing day <3

The first I is 5x10 11

The second is 5x10  11

Step-by-step explanation:

Answer:

The first one and the second one are both 5x10-11

a) The probability space is (1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (3, 3).

b) The probability that the sum of the numbers drawn is 4 is 2/9.

c) The probability that the sum of the numbers is at least 4 is 2/3.

a) The probability of an event is measured between 0 and 1, and the probability space is a collection of all probable results, hence the probability space is:

P= (1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (3, 3)

Hence, the probability space can be written as a set, S = {1,2,3}.

b) If 2 balls are drawn and sum of the numbers is 4, then there could be only one probable way of drawing the balls, which is ball 1 and 3, so probability that the sum of the numbers is 4 is:

P = 2/9

c) If 2 balls are drawn and sum of the numbers is at least 4, then probable ways of drawing the balls are:

(1,3), (2,2), (2,3), (3, 1), (3, 2), and (3, 3)

Hence, the probability that the sum of the numbers is at least 4 = 6/9 = 2/3

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Answer:

1.6

Step-by-step explanation:

12.8/8 = 1.6

15.2/9.5 = 1.6

Scale factor = 1.6

Answer:

15 miles

Step-by-step explanation:

8.80-2.80=6

6/0.40=15 miles

m = miles traveled.

$2.80 + $0.40m = $8.80

Subtract $2.80 from both sides.

$0.40m = $6.00

Divide both sides by $0.40

m = 15

Carmen traveled a total of 15 miles.

Consider we need to find f(n).

Given:

Achilles ordered a pizza with 16 slices.

Every hour, he ate half of the remaining slices.

To find:

The function f(n) that is the number of slices Achilles ate in the hour since he got home.

Solution:

Initial number of slices = 16

Every hour, he ate half of the remaining slices. So, the number slices Achilles ate in the hour since he got home are:

8, 4, 2, 1, ...

It is a geometric sequence with first term 8 and common ratio \(\dfrac{1}{2}\).

The explicit formula for a geometric sequence is:

\(f(n)=ar^{n-1}\)

Where, a is the first term and r is the common ratio.

Substituting \(a=8,r=\dfrac{1}{2}\), we get

\(f(n)=8\left(\dfrac{1}{2}\right)^{n-1}\)

Therefore, the  function f(n) that is the number of slices Achilles ate in the hour since he got home is \(f(n)=8\left(\dfrac{1}{2}\right)^{n-1}\).

Answer:

5

571

x 38

---------

4,568 <------571×

+3,213x <------571x

------------

36,698

Answer:

Step-by-step explanation:

Circumference = 6π

θ = 8/3 = 2.7 radians

Answer: False

Step-by-step explanation:

In Boolean algebra, the symbol "+" represents logical OR operation, not regular addition as in linear algebra. The logical OR operation is used to combine two or more logical statements into a single statement that is true if at least one of the statements is true.

For example, if A and B are two logical statements, then A+B is true if A is true, or B is true, or both A and B are true.

Therefore, it is important to understand the context in which the symbol "+" is being used, whether it is in the context of regular addition or logical OR operation.

The y-intercept of the regression line can be calculated using the formula: y-intercept = mean of Y - slope × mean of X.
In this case, the mean of Y is 324, and the mean of X is 875.

To find the slope, we need to calculate the covariance and variance of X and Y.
First, let's calculate the covariance:
Cov(X,Y) = (ΣXY - (ΣX × ΣY) / n)

= ((393×324) + (1720×875) + (1150×1090)) - ((324+393+1720)×(875+1150+1090)) / 8

= 699366 - 1575000 / 8

= -87500 / 8

= -10937.5
Next, we calculate the variance of X:
Var(X) = (ΣX² - (ΣX)² / n)

= ((324²) + (393²) + (1720²)) - ((324+393+1720)²) / 8

= 2419201 - 1575000 / 8

= 844201 / 8

= 105525.125
Now we can find the slope:
slope = Cov(X,Y) / Var(X)

= -10937.5 / 105525.125

= -0.103725
Finally, we can calculate the y-intercept:
y-intercept = mean of Y - slope × mean of X

= 324 - (-0.103725 × 875)

= 324 + 90.556875

= 414.556875.

Therefore, the y-intercept of the regression line of hours on income is approximately 414.56.

This means that when the monthly income is zero, the predicted number of hours spent connected to the internet is around 414.56.

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Answer:

you have 41 quarters

Step-by-step explanation:

.....

It appears to involve Laplace transforms and initial-value problems, but the equations and initial conditions are not properly formatted.

To solve initial-value problems using Laplace transforms, you typically need well-defined equations and initial conditions. Please provide the complete and properly formatted equations and initial conditions so that I can assist you further.

Inverting the Laplace transform: Using the table of Laplace transforms or partial fraction decomposition, we can find the inverse Laplace transform of Y(s) to obtain the solution y(t).

Please note that due to the complexity of the equation you provided, the solution process may differ. It is crucial to have the complete and accurately formatted equation and initial conditions to provide a precise solution.

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