(i) In R³, let M be the span of v₁ = (1,0,0) and v2 = (1, 1, 1). Find a nonzero vector v3 in Mt. Apply Gram-Schmidt process on {V1, V2, V3}. (ii) Suppose V is a complex finite dimensional IPS. If T is a linear trans- formation on V such that (T(x), x) = 0 for all x € V, show that T = 0. (Hint: In (T(x), x) = 0, replace x by x+iy and x-iy.)

The variable h, as the subject of the given formula is h = 3 / (G.V + 1)

From the question, we are to make h the subject in the given formula

The given equation is

(3 - h) / V = G . h

Multiply both sides of the equation by V

V × (3 - h) / V = G . h × V

3 - h = G . h . V

Add h to both sides

3 - h + h = GhV + h

3 = GhV + h

Factorize h

3 = h(G.V + 1)

Now,

Divide both sides of the equation by (G.V + 1)

That is,

3 / (G.V + 1) = h

∴ h = 3 / (G.V + 1)

Hence, the value of h is 3 / (G.V + 1)

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Answer:

45

Step-by-step explanation:

Answer:   11

\(\sqrt{114}\) = 10.67707825

rounded to nearest whole number would be 11

Answer:

11

Step-by-step explanation:

Answer:

4 and -9

Step-by-step explanation:

Answer: El mono saltó 3 veces y el canguro saltó 2

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

5.5 litres paint needed for 1 stool

1  litres paint needed for  1/ 5.5

20 litres paint needed for  20/5.5

= 3.636

And now comes the twist, you can't paint 3.6 stools. also You can't paint 4 stools. You need to round down to 3

The factorization of the numbers is obtained as

(a) 36 = 2² x 3²,

(b) 60 = 2² x 3 x 5,

(c) 84 = 2² x 3 x 7,

(d) 99 = 3² x 11 and

(d) 180 = 2² x 3² x 5

To factorize the numbers we use their factors as show below;

36 = 2² x 3²

60 = 2² x 3 x 5

84 = 2² x 3 x 7

99 = 3² x 11

180 = 2² x 3² x 5

Thus, the factorization of the numbers is obtained as 36 = 2² x 3², 60 = 2² x 3 x 5, 84 = 2² x 3 x 7, 99 = 3² x 11 and 180 = 2² x 3² x 5.

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9514 1404 393

Answer:

  12. (x, D, E, F) = (8, 38°, 75°, 67°)

  13. (x, P, Q, R) = (13, 126°, 30°, 24°)

Step-by-step explanation:

The sum of angles in a triangle is 180°. We choose to write the equations assuming all measures are degrees.

12. (5x -2) +(9x +3) +(11x -21) = 180

  25x = 200 . . . . . . . add 20, simplify

  x = 8 . . . . . . . . . divide by 25

Then the angle measures are ...

  ∠D = 5(8) -2 = 38°

  ∠E = 9(8) +3 = 75°

  ∠F = 11(8) -21 = 67°

__

13. (10x -4) +(4x -22) +(x +11) = 180

  15x = 195 . . . . . . . . . . add 15, simplify

  x = 13 . . . . . . . . . divide by 15

Then the angle measures are ...

  ∠P = 10(13) -4 = 126°

  ∠Q = 4(13) -22 = 30°

  ∠R = 13 +11 = 24°

Answer:

Let L = length

Let w = width

Perimeter = 2L + 2w

L = 100

Perimeter > 400

2(100) + 2w > 400

200 + 2w > 400 is the inequality

Subtract 200 on both sides of inequality.

2w > 200

w > 100

The width is at least 100 centimeters

The inequality that describes the perimeter of a rectangle is greater than 100 is 2(l + w) > 100.

The area of a rectangle is the product of its length and width.

The perimeter of a rectangle is the sum of the lengths of all the sides.

Given, A rectangle with a width of w and a length of l has a perimeter greater than 100.

We know the perimeter of a rectangle is 2(l + w).

∴ The perimeter of this rectangle is 2(l + w) > 100.

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Ways can n identical balls be distributed into r bins such that each bin contains at least two balls are 20 ways.

1 ball in each of 3 boxes: 4 ways

3 balls in one box: 4 ways

2 balls in one box and 1 ball in another box: 3*4=12 ways

There are 20 ways to arrange the balls .

In mathematics, a combination is a way of selecting items from a collection where the order of selection does not matter. Suppose we have a set of three numbers P, Q and R. Then in how many ways we can select two numbers from each set, is defined by combination.

The combination can also be represented as: –nCr, nCr, C(n,r), Crn

Proof:

nPr = nCr.r!

= [n!/r!(n-r)!].r!

= n!/(n-r)!

Hence the theorem states true.

A permutation is an act of arranging objects or numbers in order. Combinations are the way of selecting objects or numbers from a group of objects or collections, in such a way that the order of the objects does not matter.

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Answer:

4 1/4

Step-by-step explanation:

Answer:

4 1/4

Step-by-step explanation:

The correct option is D) 48. As the correlation coefficient ranges from -1 to +1, if the value of eta result is close to 1 or -1, it indicates strong correlation between the two variables. Therefore, the eta result 48 indicates strong relationship between dependent and independent variable.

In order to determine a strong relationship between dependent and independent variable, the correlation coefficient is computed.

It ranges between -1 and +1. Correlation coefficient ranges from -1 to +1 where -1 indicates perfect negative correlation and +1 indicates perfect positive correlation. On the other hand, 0 indicates no correlation.

Therefore, higher the value of correlation coefficient stronger the correlation or relationship between the two variables. The following eta results indicate strong relationship between dependent and independent variable: Option D) 48

As the correlation coefficient ranges from -1 to +1, if the value of eta result is close to 1 or -1, it indicates strong correlation between the two variables. Therefore, the eta result 48 indicates strong relationship between dependent and independent variable.

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The correct answer is (d) Those values of a for which the numerator of the function r is not zero.

For a rational function r(x), the limit of r(x) as x approaches a can be determined by evaluating r(a) if the numerator of the function is not zero. This is because when the numerator is not zero, the limit of the function is defined and equal to the value of the function at that point.

However, if the numerator of the function is zero, then further analysis is required to determine the limit. In this case, the limit may be defined or undefined, depending on the behavior of the function as x approaches the point of interest.

In general, for a rational function, the limit exists and is equal to the value of the function at that point if and only if the numerator of the function is not zero at that point.

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Answer: look at the explanation

Step-by-step explanation:

It goes down by 40%

Answer:

we need more information to solve your problem.

Step-by-step explanation:

Answer:

14.7%

Step-by-step explanation:

Being that there is 4 red, 2 blue, 6 green, 8 white, that means there is 20 marbles, with 8 success, 8/20. Since the marble is not replaced, that drops it to 7/19 for the second pull. Multiply these together and you get 14.7%.

(8/20)*(7/19)=.147

.147*100=14.7

Answer: Lin needs to drink 27 ounces of water to reach her goal.

Step-by-step explanation: 1 cup = 8 fluid ounces.

8 cups = 8 x 8 = 64 ounces.

As of now Lin has drank 37 ounces of water. So, this means till now she has drank 37/8 = 4.625 cups of water.

In terms of ounces, she needs to drink 64-37=27 ounces of water to reach her goal.

Hence, the answer is 27 ounces or 8-4.625=3.375 cups.

The number of ways six numbers can be drawn are 9366819.

Combinations also are referred to as choices or selections. Combinations correspond to the choice of factors from a given set of factors. Here we do now no longer intend to set up things. We intend to choose them.

The combination formula to find out number of ways is,

where n is the number of objects to select from and r is the variety of objects that want to be picked. This system is used while no repetition is allowed and order does not matter.

From the given question let us consider,

n= 46    

r=6

By applying the combination formula

46C6= 46!/6!(46-6)!

= 46.45.454.43.42.41/6!

= 6744109680!/6!

= 6744109680/720

=9366819

Therefore the required answer is 9366819 ways.

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Answer:

Step-by-step explanation: nPr

= n!

(n-r)!

= 46!

(46-6)!

= 46!

40!

= 6744109680

The three types of consulting services that audit firms are now prohibited from providing to clients that are public companies are:

1. Bookkeeping services: Audit firms are prohibited from providing bookkeeping services to their audit clients. Bookkeeping involves the recording, organizing, and maintaining of financial transactions.

By prohibiting audit firms from providing bookkeeping services, it helps to ensure independence and objectivity in the audit process. This separation reduces the risk of potential conflicts of interest that could compromise the integrity of the audit.

2. Legal services: Audit firms are also prohibited from providing legal services to their audit clients. Legal services include activities such as drafting legal documents, providing legal advice, and representing clients in legal proceedings.

The prohibition on providing legal services aims to maintain independence and prevent any potential conflicts of interest that could arise if the audit firm were to also provide legal advice or services to the audited company.

3. Financial information systems design and implementation: Audit firms are further prohibited from designing and implementing financial information systems for their audit clients.

This involves the development and implementation of computerized systems that record and process financial data. The prohibition on providing financial information systems design and implementation services helps to avoid any potential bias or lack of objectivity in the audit process,

as the audit firm should remain independent and not be involved in the design and implementation of the systems they are auditing.

By prohibiting audit firms from providing these consulting services, it helps to ensure that the audit process is conducted objectively and independently, without any conflicts of interest.

This enhances the credibility and reliability of financial statements and promotes transparency and trust in the financial markets.

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Thematic Analysis is a process that is used to analyze the text in research in qualitative research. It aims to find the patterns in the data by examining the contents of the text.

In the Qualitative Descriptive Study Design, thematic analysis is utilized to analyze the data obtained from interviews, observation, or other qualitative methods. This method involves the identification of themes and patterns in the data. It helps the researcher to organize the data, identify patterns, and develop the categories and themes that will be used to describe the findings of the study.

Thematic Analysis is used in Qualitative Descriptive Study Design to provide an in-depth understanding of the research topic. It allows the researcher to capture and analyze the rich and diverse experiences of the participants in the study. In this method, data is collected from the participants, and the researcher analyzes the data by identifying the common themes and patterns that emerge from the data. This process of analysis is done in a systematic and iterative manner until the researcher identifies all the themes that are relevant to the research question.

Thematic analysis is useful in qualitative research because it allows the researcher to identify the themes and patterns in the data that are not explicitly stated by the participants. It helps to identify the underlying meanings of the data and to develop a deeper understanding of the research topic. This method is particularly useful when the researcher is dealing with large volumes of data and wants to identify the key themes and patterns that emerge from the data.

In conclusion, Thematic Analysis is a useful method of analysis in Qualitative Descriptive Study Design. It is used to analyze the data obtained from interviews, observation, or other qualitative methods. This method involves the identification of themes and patterns in the data and helps the researcher to organize the data, identify patterns, and develop the categories and themes that will be used to describe the findings of the study.

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Answer:

the dept shoudk be 3.4 because it increase by 1.1

Answer:

the answer to your question is B $3.60

Answer:

angle 8= 120 degrees

angle 7= 60 degress

Step-by-step explanation:

So since it's a line, they will equal 180. So since angle 7 is half of 8 we need to a pair of numbers that add to 180. So you can find out that 120/2 is 60. Then 60+120=180

Answer:

I'm pretty sure it's 66.

Step-by-step explanation:

Sry if I'm wrong. Hope this helps!

Answer:

Finish your homework first (EVERYTHING) before videogames

Step-by-step explanation:

Answer:

The measurement of the third angle would be 139 degrees.

Step-by-step explanation:

Using the triangle sum theorem, you already know that all interior angles of a triangle add up to 180 degrees. So since you already have two angle measurements, all you have to do is add them together and subtract them from 180 degrees. In this case it is 29+12, which equals 41. Now you subtract that from 180 and get 139.

I hope this helps!