determine whether the series is convergent or divergent. [infinity] 5 n2 n3 n = 1

Answers

Answer 1

Let's solve the given problem. Suppose v is an eigenvector of a matrix A with eigenvalue 5 and an eigenvector of a matrix B with eigenvalue 3.

We are to determine the eigenvalue λ corresponding to v as an eigenvector of 2A² + B².We know that the eigenvalues of A and B are 5 and 3 respectively. So we have Av = 5v and Bv = 3v.Now, let's find the eigenvalue corresponding to v in the matrix 2A² + B².Let's first calculate (2A²)v using the identity A²v = A(Av).Now, (2A²)v = 2A(Av) = 2A(5v) = 10Av = 10(5v) = 50v.Note that we used the fact that Av = 5v.

Therefore, (2A²)v = 50v.Next, let's calculate (B²)v = B(Bv) = B(3v) = 3Bv = 3(3v) = 9v.Substituting these values, we can now calculate the eigenvalue corresponding to v in the matrix 2A² + B²:(2A² + B²)v = (2A²)v + (B²)v = 50v + 9v = 59v.We can now write the equation (2A² + B²)v = λv, where λ is the eigenvalue corresponding to v in the matrix 2A² + B². Substituting the values we obtained above, we get:59v = λv⇒ λ = 59.Therefore, the eigenvalue corresponding to v as an eigenvector of 2A² + B² is 59.

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Related Questions

Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!

Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!

Answers

Answer:

8

Step-by-step explanation:

If you add the ratios together, it is equal to 9

Since NQ = 9, 9/9=1

So each unit is 1

Then you can just add 5*1 + 3*1

Which is 8

Hope this helps :)

1,2,3, or 4 for answer

1,2,3, or 4 for answer

Answers

Answer:

4

Step-by-step explanation:

1 pi is not rationa;

2. sqrt20 is not rationa;

3.sqrt7 is not rational

4 is the answer

Number four is rational

3(4x+5) = 12x+15 what does it equal?

Answers

Answer: AllRealNumbers

Step-by-step explanation:

1. Distrubute: 3(4x+5)=> 12x+15

2. Simplify: 12x+15=12x+15

=> 15=15

Since it cancels out it means that x can be any real number.

Have a nice day! :D

find the scale of each map 3cm on the map corresponds to an actual distance of 120 km

Answers

Answer:

4cm           x cm

-----   =    -------

5km          4  km

to solve the proportion, cross multiply

5x = 16

x = 16/5 = 3.2

3.2km

Step-by-step explanation:

An object starts at position 12 on a horizontal line with a reference point of 0. What is the position of the object if it
moves 14 units to the left?
0-26
-2.
02
O 26

Answers

Answer:

The answer would be B

Answer:

-2

Step-by-step explanation:

We know that the object is at 12 on a horizontal line.

The horizontal line of a graph is the x axis, so lets think of 12 as 12x

On a graph, left is negative, and right is postive.

In this case we need to move 14x to the right, or -14x.

We start at 12x, so its going to be:

12x-14x=-2x

So -2 is the postition of the object on the x axis.

This is answer B.

Hope this helps!

What is the probability that the true average revenues per hour will either be greater than the UCL or lower than the LCL

Answers

We would need to know the distribution of the revenues, such as whether it follows a normal distribution or some other distribution. Additionally, we would need the specific values of the mean, standard deviation, UCL, and LCL.

To calculate the probability that the true average revenues per hour will be either greater than the Upper Control Limit (UCL) or lower than the Lower Control Limit (LCL), we need more information about the data distribution and the control limits themselves.

Control limits are typically used in statistical process control (SPC) to determine whether a process is stable and within the acceptable range of variation. They are derived from the process data and define the boundaries within which the process is expected to perform.

If we have a normal distribution assumption for the data and know the mean (μ) and standard deviation (σ), we can calculate the probability using the z-score and the standard normal distribution.

Let's assume we have the following information:

- Mean (μ) of the data.

- Standard deviation (σ) of the data.

- UCL and LCL values.

To calculate the probability of the true average revenues per hour being outside the control limits, we can use the z-score formula:

z = (x - μ) / (σ / sqrt(n))

Where:

- x is the value we are interested in (UCL or LCL).

- μ is the mean of the data.

- σ is the standard deviation of the data.

- n is the sample size.

Once we have the z-score, we can consult a standard normal distribution table or use statistical software to find the corresponding probability.

Please provide the necessary information (mean, standard deviation, UCL, LCL, and sample size) so that I can help you calculate the probability.

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someone help me on this que stion AS AP PLEASE!! ​

someone help me on this que stion AS AP PLEASE!!

Answers

D. None of these, as neither option B nor option C can be obtained using the Law of Detachment.

The Law of Detachment states that if a conditional statement "if p, then q" is true and p is true, then q must also be true.

Analyzing the given options:

A. The conclusion "There is no school" can be obtained by applying the Law of Detachment to the given information, as it matches the format of the law: "If today is Saturday (p), then there is no school (q)." Since today is Saturday (p), the conclusion that "There is no school" (q) can be derived using the Law of Detachment.

B. The conclusion "He is able to buy a new set of headphones" is not directly obtained by using the Law of Detachment. It involves an additional conditional statement and is not in the form of the given "if p, then q" structure.

C. The conclusion "George lives in both Brick and Ocean County" cannot be derived using the Law of Detachment. It is not in the form of a conditional statement, and there is no given information that connects George's residence to the conditional statement provided. Therefore, D is the right answer. None of them are possible utilizing the Law of Detachment, as neither option B nor option C can be obtained. Therefore, Option D is correct.

The question was incomplete. find the full content below:

Which of the following conclusions is true AND obtained by using the Law of Detachment

A. If today is Saturday, then there is no school.

Today is Saturday.

There is no school.

B. If you work 8 hours, then you'll earn $100.

If you earn $100, you'll be able to buy a new set of headphones.

Jonathan works 8 hours.

He is able to buy a new set of headphones.

C. If a person lives in Long Beach Island, then they live in Ocean County.

Brick is in Ocean County.

George lives in both Brick and Ocean County

D. None of these.

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Name the angles that are adjacent to

Name the angles that are adjacent to

Answers

Answer:

angle k and n are adjacent to angle j

For a given recipe, 24 cups of flour are mixed with 12 cups of sugar. How many cups of sugar should be used if 8 cups of flour are used?

Answers

Answer:

First, 24 divided by 8 equals 3. this means you divide 12 by 3. you get 4. 4 cups of sugar will be used when 8 cups of flour are used.




Question 9 < > 3 Find the volume of the solid obtained by rotating the region bounded by y = 22, y=0, and I = 4, about the y-axis. V Add Work Submit Question

Answers

To find the volume of the solid obtained by rotating the region bounded by y = 2, y = 0, and x = 4 about the y-axis, we can use the method of cylindrical shells. Answer : V = -144π

The volume of a solid of revolution using cylindrical shells is given by the formula:

V = ∫(2πx * h(x)) dx,

where h(x) represents the height of each cylindrical shell at a given x-value.

In this case, the region bounded by y = 2, y = 0, and x = 4 is a rectangle with a width of 4 units and a height of 2 units.

The height of each cylindrical shell is given by h(x) = 2, and the radius of each cylindrical shell is equal to the x-value.

Therefore, the volume can be calculated as:

V = ∫(2πx * 2) dx

V = 4π ∫x dx

V = 4π * (x^2 / 2) + C

V = 2πx^2 + C

To find the volume, we need to evaluate this expression over the given interval.

Using the given information that 9 < x < 3, we have:

V = 2π(3^2) - 2π(9^2)

V = 18π - 162π

V = -144π

Therefore, the volume of the solid obtained by rotating the region bounded by y = 2, y = 0, and x = 4 about the y-axis is -144π units cubed.

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lin and mark each attempt independently to decode a message

Answers

Lin and Mark are working independently to decode a message. Their different approaches or keys may result in different interpretations of the encoded text. Without more details about the encoding method or key, it is difficult to provide a more specific answer.

Lin and Mark are independently attempting to decode a message. This means that they are working separately, without consulting each other, to decipher the message.

To decode the message, they would typically need some kind of cipher or key to understand the meaning of the encoded text. A cipher is a method of encryption that converts plaintext into a different form, making it unreadable unless you have the key or know the decoding rules.

Since Lin and Mark are working independently, they might use different decoding methods or have different keys. This could result in different interpretations of the message.

For example, if the message is encoded using a Caesar cipher, Lin might use a shift of 3, while Mark might use a shift of 5. This would result in Lin decoding the message differently from Mark.

It's important to note that without additional information about the specific encoding method or key being used, it's not possible to provide a more accurate or specific answer.In summary, Lin and Mark are working independently to decode a message. Their different approaches or keys may result in different interpretations of the encoded text. Without more details about the encoding method or key, it is difficult to provide a more specific answer.

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Formula One race cars can reach speeds of approximately 100 meters per second. What is this speed in meters per minute? 0. 6 meters per minute 1. ModifyingAbove 6 with Bar meters per minute 600 meters per minute 6,000 meters per minute.

Answers

Answer:

1.6667 meters per minute

Step-by-step explanation:

To convert meters per second into meters per minute, let's first think about the difference between seconds and minutes.

There are 60 seconds in one minute, so to find our meters per minute speed, we will divide the distance by 60.

100 / 60 = 1.6667 meters per minute

Hope this helped!

Answer:

it is d my guy :)

Step-by-step explanation:

Trapezoid LMNO is dilated by a scale factor of fractor {1}{3} to form trapezoid L'M'N'P'. Side MN measures 39. What is the measure of side M'N'?

Answers

Answer:

m'n' equals 13

Step-by-step explanation:

39 divided by 1/3 equals 13

Which expression is equivalent to 5^6 x 5^-2

Answers

\(5^{6} *5^{-2} =625\)

The points (n,7) and ( – 1, – 9) fall on a line with a slope of 8. What is the value of n?

Answers

The value of n if the slope of the line that passes through points (n,7) and ( – 1, – 9) is 8, is calculated as: n = 1.

What is the Slope of a Line?

The slope of a line is calculated as, m = change in y / change in x = \(\frac{y_2 - y_1}{x_2 - x_1}\).

Given the following points that lies on a line that has a slope of 8 as (n, 7) and (-1, -9), therefore let:

(n, 7) = \((x_1, y_1)\)

(-1, -9) = \((x_2, y_2)\).

m = 8

Substitute the values into the slope formula:

8 = (-9 - 7) / (-1 - n)

8 = -16 / (-1 - n)

8(-1 - n) = -16

-1 - n = -16/8

-1 - n = -2

-n = -2 + 1

-n = -1

n = 1

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What is the third term of the recursive sequence below

What is the third term of the recursive sequence below

Answers

Given the sequence:

\(\begin{gathered} a_1=-6 \\ a_n=\frac{1}{2}a_{n-1}-n \end{gathered}\)

Let's find the third term of the sequence.

To find the third term, a3, we have:

First find the second term, a2:

\(\begin{gathered} a_2=\frac{1}{2}a_{2-1}-2 \\ \\ a_2=\frac{1}{2}a_1-2 \\ \\ a_2=\frac{1}{2}(-6)-2 \\ \\ a_2=-3-2 \\ \\ a_2=-5 \end{gathered}\)

The second term is -5.

To find the third term, we have:

\(\begin{gathered} a_3=\frac{1}{2}a_{3-1}-3 \\ \\ a_3=\frac{1}{2}a_2-3 \\ \\ a_3=\frac{1}{2}(-5)-3 \\ \\ a_3=-2.5-3 \\ \\ a_3=-5.5 \end{gathered}\)

Therefore, the third term of the

What are the intercepts of the line with an quation of 2x - 3y= 30​

Answers

Answer: (15,0) and (0,-10)

Step-by-step explanation:

y-intercept

set x=0, then solve for y

-3y=30

y= -10

x-intercept

set y=0, then solve for x

2x=30

x= 15

Simplify 6 -square root of 15 divided by 2

Answers

Answer:

hjyfgtuygtfvfvhjkoijuhgytfrdetrft

Step-by-step explanation:

dcfgvhbjnkiouytrfdr

Answer:

-2.94

Step-by-step explanation:

I got the answer correct on edge

factor completely. 6x^3-6x^2+x-1

Answers

Answer:

(x−1)(6x2+1)

Step-by-step explanation:

x^3-6x^2+x-1

(x−1)(6x^2+1)

Answe: (

( − 1 ) ( 6 ^ 2 + 1 )

In a flower display, there are spaces for 3 plants. If there are 9 plant options, how many different ways can the plants be arranged? Hint: Are repeats allowed?

Answers

There are different consecutive ways that the flowers can be planted:

3,9,15,21 and so on.

Numbers that follow each other in a regular counting order or pattern are called consecutive numbers. They are written sequentially, where the difference between the numbers is fixed and no number in between is skipped.

Given that:

Roses plants in 1st, 2nd, row are:

3,9 ,.....

Since difference between consecutive terms is same:

It is an AP

We have to find number of row in the flower bed:

Lets assume there are n rows in the flowers bed.

We know that:

    aₙ = a + (n-1)d

and d = 9-3 = 6

Therefore, the next numbers can be:

3,9,15 ,21 ......

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the superintendent of a school district must decide whether to hire additional teachers. if she hires the teachers, the student-teacher ratio will drop by 2, and student performance will improve. under the assumption that student performance is measured by a test score, she estimated a regression model using the test score as the dependent variable, and the student-teacher ratio as the independent variable. the intercept and the coefficient are estimated to be 800 and -8, respectively. if she hires additional teachers to reduce the ratio by 2, what would be its predicted effect on the test score? a. the test score will decrease by 800 points. b. the test score will increase by 792 points. c. the test score will increase by 8 points. d. the test score will increase by 16 points. e. the test score will decrease by 8 points.

Answers

We are given a regression model: test score = 800 - 8(student-teacher ratio)

If the student-teacher ratio drops by 2, then the new ratio is (old ratio - 2).

So, the new predicted test score is:

test score = 800 - 8(new ratio)

          = 800 - 8(old ratio + (-2))

          = 800 - 8(old ratio) - 8(-2)

          = 800 - 8(old ratio) + 16

Therefore, the predicted effect on the test score is an increase of 16 points.

So, the answer is (d) the test score will increase by 16 points.

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Sam made a 70% on his test. If there were 80 questions on the test, how many did he get right?

Answers

Answer: He got 56 questions right.

Step-by-step explanation:

Answer:

Sam got 56 questions correct.

Step-by-step explanation:

If there were 80 questions on the test, sam got 56 correct in order to get a 70%.

To find this, you must find 70 percent of 80 questions. You first must turn 70% into a decimal, making it 0.70. You multiply this decimal by the 80 questions on the test. You then get 56. Meaning they got 56 right. I hope this helps!

A population of 70 foxes in a wildlife preserve doubles in size every 13 years. The function y = 70.2*, where x is the number of 13-year
periods, models the population growth. How many foxes will there be after 26 years?
After 26 years there will be how many foxes. (Type a whole number.)

Answers

Answer: After 30 years there will be 4480 foxes.

Step-by-step explanation:

first period: (4) x (70) = 280

second period: (4) x (280) = 1120

third period: (4) x (1120) = 4480

Step-by-step explanation:

Add.(7f² + 5f + 9) - (5f² + 2f)

Answers

Add:

\(\begin{gathered} (7f^2+5f+9)-(5f^2+2f) \\ =7f^2+5f+9-5f^2-2f \\ =7f^2-5f^2+5f-2f+9 \\ =2f^2+3f+9 \end{gathered}\)

2w2 - W - 28 = 0
What is the answer to this??

Answers

Answer:

w = 4 or w=-3.5

Step-by-step explanation:

This likely factors into

(2w  + 7)(w - 4) = 0

in which case there are 2 factors.

2w + 7 = 0

w = - 3.5      or

w - 4 = 0

w = 4

Simplify the following expression.

(8x + 4) - (2x2 + 4x - 7)

Answers

Answer:

-2x^2 + 4x + 11

Step-by-step explanation:

whats 2x2 ? do you mean 2x^2 ? if so then...

8x + 4 - 2x^2 - 4x + 7

4x + 11 - 2x^2

-2x^2 + 4x + 11

Answer:

this is the answers 2x^2+4x+11

determine whether the relation defines y as a function of x. Guve the domain.

determine whether the relation defines y as a function of x. Guve the domain.

Answers

Answer

Explanation

Given:

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

To determine whether the relation defines y as a function of x, we get the domain first.

Based on the given relation, when we plug in x=0, the value would be undefined. So the function domain is x<0 or x>0.

Hence, the interval notation is:

\((-\infty,0)\cup(0,-\infty)\)

We can use vertical line test to determine if it is a function as shown in the graph below:

As we can see, there's only one point of intersection so the relation defines y as a function of x. Therefore, the answer is:

Function; domain

\((-\infty,0)\cup(0,-\infty)\)

determine whether the relation defines y as a function of x. Guve the domain.

Exactly how much pizza crust would be left of a 16" pizza if only of the pizza was eaten for dinner?

Answers

The question is incomplete and the value or fraction of the amount of fraction of pizza eaten for dinner isnt Given. Assume the fraction of pizza eaten for dinner = p

Answer:

Kindly check explanation

Step-by-step explanation:

To solve the problem above;

Amount of pizza eaten for dinner = (fraction eaten * total size of pizza)

Amount of pizza eaten for dinner = 16 * p = 16p

Amount of pizza crust left :

(Total size of pizza crust - Amount of pizza eaten for dinner)

Amount of pizza crust left = 16 - 16p

Note that this is just an hypothetical solution because the value represented as p was omitted in the question.

Simply substitute p in the solution with it's exact value to obtain the exact amount of pizza crust left.

The question is jimmy scores is in the bottom 25% of the scores, but he does not have the lowest score. What is one possible value for jimmy score

Answers

Answer:

50% duhh

Step-by-step explanation:

25% is also a equation

Find the area of a triangle. h= 8.2yards b= 2.1 yards​

Answers

Answer:

8.61

Step-by-step explanation:

(8.2*2.1)/2=8.61

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