can anyone help?????

The Elementary Matrix E is \(\left[\begin{array}{ccc}1&0&0\\0&0&1\\0&1&0\end{array}\right]\).

We know that the Matrix

\(A = \left[\begin{array}{ccc}2&1&3\\-2&4&5\\3&1&4\end{array}\right] , B = \left[\begin{array}{ccc}2&1&3\\3&1&4\\-2&4&5\end{array}\right]\)

\(EA = B\)

⇒ \(E = B A^{-1}\)

\(A^{-1} = \frac{1}{|A|} \times \left[\begin{array}{ccc}A_{11}&A_{12}&A_{13}\\A_{21}&A_{22}&A_{23}\\A_{31}&A_{32}&A_{33}\end{array}\right]\)

\(|A| = \left|\begin{array}{ccc}2&1&3\\-2&4&5\\3&1&4\end{array}\right|\)

\(= 2 \times4\times4-2\times5\times1 - 1\times(-2)\times4+1\times5\times3+3\times(-2)\times1 - 3\times4\times3\\= 32 -10+8+15-6-36 = 3\)

\(A^{-1} = \frac{1}{3} \left[\begin{array}{ccc}11&-1&-7\\23&-1&-16\\-14&1&10\end{array}\right] \\A^{-1} = \left[\begin{array}{ccc}\frac{11}{3} &\frac{-1}{3}&\frac{-7}{3}\\\frac{23}{3}&\frac{-1}{3}&\frac{-16}{3}\\\frac{-14}{3}&\frac{1}{3}&\frac{10}{3}\end{array}\right]\)

\(\therefore E =\left[\begin{array}{ccc}2&1&3\\3&1&4\\-2&4&5\end{array}\right] \times \left[\begin{array}{ccc}\frac{11}{3} &\frac{-1}{3}&\frac{-7}{3}\\\frac{23}{3}&\frac{-1}{3}&\frac{-16}{3}\\\frac{-14}{3}&\frac{1}{3}&\frac{10}{3}\end{array}\right]\)

\(E = \left[\begin{array}{ccc}\frac{22+23-42}{3}&\frac{2+1-3}{3}&\frac{-14-16+30}{3}\\\frac{33+23-56}{3}&\frac{-3-1+4}{3}&\frac{-21-16+41}{3}\\\frac{-22+92-70}{3}&\frac{2-4+5}{3}&\frac{14-64+50}{3}\end{array}\right]\)

\(E = \left[\begin{array}{ccc}1&0&0\\0&0&1\\0&1&0\end{array}\right]\)

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Answer:

C.3 is Answer.

Step-by-step explanation:

I hope it's helpful!

The correct matching of positive and negative number according to the situation is given by,

An increase in altitude of 6 miles.→ +6

6 degrees below zero.→-6

Taking 12 steps back.→-12

Going up 12 stairs.→+12

Depositing $2,000 →+2000

A withdrawal of $2,000→ -2000.

The left hand side statement representing the situation of right hand side are as follow,

An increase in altitude of 6 miles represents the positive value of 6 as it increases.

+ 6.

6 degrees below zero represents the negative value of 6 as below zero numbers are negative.

-6.

Taking 12 steps back represents the negative value of 12 as moving back is negative direction.

-12.

Going up 12 stairs represents the positive value of 12 as moving up is always positive.

+12.

Depositing $2,000 represents the positive value of 2000 as it increases the amount.

+2000

A withdrawal of $2,000 represents the negative value of 2000 as it decreases the amount.

-2000.

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The probability that the committee consists of 3 men and 2 women is 10/63.

As per the given question.

The committee consists of 9 people (6 women ad 3 men).

5 are choosen at random.

Then, the probability that the committee will have the of 3 men and 2 women is;

P(3 men + 2 women) = (select 3 men of of 3 men)(select 2 women out of 5 women) / (choose 5 out of 9 total)

P(3 men + 2 women) = (³C₃ . ⁵C₂)/ ⁹C₅

Solve the combination.

P(3 men + 2 women) = 1 x 20 / 126

P(3 men + 2 women) = 10/63

Thus, the probability that the committee consists of 3 men and 2 women is 10/63.

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The complete question is-

A committee of 5 is to be selected from a group of 6 women and 3 men. If the selection is made randomly, what is the probability that the committee consists of 3 men and 2 women?.

Answer:

x = 15.75

Step-by-step explanation:

I'm going to assume you mean solve for x so:

\(\frac{9}{x} =\frac{32}{56} \\\\32x=504\\x=15.75\)

The required  cost of each shirt is $21.28.

A mathematical statement known as an equation is made up of two expressions joined together by the equal symbol. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the quantity x is 7.

The total cost of 3 identical shirts, including shipping, is $71.83. So we can write the equation as:

3s + 7.99 = 71.83

To solve for the cost of each shirt, we need to isolate the variable "s" on one side of the equation. We can start by subtracting 7.99 from both sides:

3s = 63.84

Then, we can divide both sides by 3:

s = 21.28

Therefore, the cost of each shirt is $21.28.

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The system of linear inequalities to model this situation is 4x+2y≤32, x≥2, y≥4. The correct option is (a).

The inequality 4x + 2y ≤ 32 represents the total number of hours available per week, which is limited to 32 hours.

The inequality x ≥ 2 represents that the carpenter must make at least 2 large bookcases per week.

The inequality y ≥ 4 represents that the carpenter must make at least 4 small bookcases per week.

These inequalities ensure that the carpenter stays within the time constraint of 32 hours and fulfills the minimum quantity requirements for both large and small bookcases.

Thus, the correct option is (a).

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Answer:

two-fold

Step-by-step explanation:

you can rotate it one other way for it to look the exact same, meaning there are a total of 2 ways to rotate it

Answer:

A line has two-fold rotational symmetry; A

Step-by-step explanation:

One fold when it is turned 180°

And another fold when it is turned 360°

Hope that helps!!

The line /TV/ that we have been asked to find from the information is the question is obtained as 7.

The sine rule, also known as the law of sines, is a trigonometric formula used to find an unknown side or angle in a triangle. It states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is equal for all three sides of the triangle.

We know that the missing angle U is obtained from;

180 - (58.3 + 80)

= 41.7°

Then;

8.9/Sin 58.3 = /TV//Sin 41.7

/TV/ = 8.9 Sin 41.7/Sin 58.3

/TV/ = 5.9/0.85

= 7

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True , Every matrix transformation is a linear transformation.

Is there a linear transformation for every matrix operation?

Despite the fact that every linear transformation is a matrix transformation, not all linear transformations are matrix transformations.      

                                    Because of this, it's possible that we'll encounter a linear transformation in which we're unable to locate a matrix to carry out the mapping.

What alteration does matrix entail?

In a two-dimensional or three-dimensional space, the transformation matrix converts one vector into another vector, which may be comprehended geometrically.

                                    Stretching, squeezing, rotation, reflection, and orthogonal projection are some of the often utilized transformations.

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Answer:

Line through 0,2

Step-by-step explanation:

Answer:

Step-by-step explanation:

∠1 = 38    {Vertically opposite angles}

∠2 = 39 + 36 = 75

Exterior angle equals the sum of opposite interior angles.

x = ∠1 +∠2        

 = 38 + 75

x = 113

Answer:

Money she will make by working for x hours = $ 39x/4

Step-by-step explanation:

Monica earns money by working 4 hours = $ 39

So, Money she will make by working for 1 hour = $ 39/4. [by using Unitary method]

Hence, Money she will make by working for x hours = $ 39x/4

Answer: 3/8

Step-by-step explanation: 1/4 x 2 = 2/8 + 3/8 = 5/8 pizza gone. 1 - 5/8 = 3/8

ANSWER:  3/8

let's assume that Derrick is a nice guy and his pizza is an integer of 1

first he gave his friend a quarter so we subtract \(\frac{1}{4}\) from 1

\(1-\frac{1}{4}\)

now we rewrite 1 as a fraction with a denominator of 4 so that we're able to subtract: \(\frac{4}{4}-\frac{1}{4} =\frac{3}{4}\)

now that Derrick still has \(\frac{3}{4}\) of his pizza he's gonna give \(\frac{3}{8}\) to his sister as well

meaning that we subtract again: \(\frac{3}{4} -\frac{3}{8}\)

in order to be able to subtract different fractions, they got to have the same denominator, so we're going to multiply \(\frac{3}{4}\) both numerator and denominator by 2: \(\frac{2*3}{2*4} -\frac{3}{8} = \frac{6}{8} -\frac{3}{8} = \frac{3}{8}\)

we can now conclude that Derrick is left with only \(\frac{3}{8}\) of his pizza.

-8

Step-by-step explanation:

you subtract all for numbers to get your solution

Given That:

x - (Rebecca's share + John's share) = 24

x - (x/3 + x/4) = 24

12x/12 - (4x / 12 + 3x / 12) = 24

5x/12 = 24

5x = 24 x 12

5x = 288

x = 57 or 58

Answer:

I believe the correct answer would be 16.

Step-by-step explanation:

There are 2 cases of golf balls that hold 12 boxes of 12 balls.

    12(12) + 12(12) = 288

You need to find how many cases Joan can buy to equal the amount of 288 balls.

    18(x) = 288

I simply divided 288 by 18 to get the answer of 16.

    x = 16

The number of packages should need to buy is 16.

There are 2 cases of golf balls that hold 12 boxes of 12 balls.

12(12) + 12(12) = 288

Now

18(x) = 288

x = 16

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Answer:

For the first it is dilation by a scale factor of 1.5. For the second it is 6. I think, sorry if they are incorrect.

Step-by-step explanation:

Answer:

D: -4<x<3

R: -2<y<4

Step-by-step explanation:

Answer:

#1) Domain: (-4,3) Range: (-2,4)

#2) Domain: (-∞,∞) Range: [-1,1]

Step-by-step explanation:

Answer:

6.2 feet

Step-by-step explanation:

The values of the missing sides are;

a.  x = 35. 6 degrees

b. x = 15

c. x = 22. 7 ft

d. x = 31. 7 degrees

To determine the values, we have;

a. Using the tangent identity;

tan x = 5/7

Divide the values

tan x = 0. 7143

x = 35. 6 degrees

b. Using the Pythagorean theorem

x² = 9² + 12²

find the square

x² = 225

x = 15

c. Using the sine identity

sin 29= 11/x

cross multiply the values

x = 11/0. 4848

x = 22. 7 ft

d. sin x = 3.1/5.9

sin x = 0. 5254

x = 31. 7 degrees

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Answer:

207

Step-by-step explanation:

1. False. 0 does not equal to 6. No answers.

2. False. x=0 means the answer is 0.

3. True.

4. False. 2 does not equal -2. No answers.

5. True.

Code: (6*6*6)-(3*3)=207

Answer:

no entiendo. adonde estas la pregunta?

Step-by-step explanation:

To translate a graph up, down, left, or right, you can add or subtract a constant value to or from the x-coordinates or y-coordinates of the points on the graph.

This will cause the entire graph to shift by the same amount in the desired direction.

For example, consider the graph of the equation y = x^2. To shift this graph up by 2 units, you can add 2 to the y-coordinates of all the points on the graph: y = x^2 + 2. This will cause the entire graph to move up by 2 units.

Similarly, to shift the graph down by 3 units, you can subtract 3 from the y-coordinates of all the points on the graph: y = x^2 - 3. This will cause the entire graph to move down by 3 units.

To shift the graph left by 4 units, you can subtract 4 from the x-coordinates of all the points on the graph: y = (x-4)^2. This will cause the entire graph to move left by 4 units.

To shift the graph right by 5 units, you can add 5 to the x-coordinates of all the points on the graph: y = (x+5)^2. This will cause the entire graph to move right by 5 units.

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Answer: the answer should be 4

The correct statement is f is injective but not surjective.

To determine whether f is injective (one-to-one) or surjective (onto), we need to examine the properties of the function.

The given function is f(x) = cosh(x - 1), defined on the interval [-1, ∞). The function cosh(x) is the hyperbolic cosine function, which is always positive for any real number x. Therefore, the range of the function f is (0, ∞).

Injective means that for every distinct input x₁ and x₂, f(x₁) and f(x₂) must be distinct. In this case, if we take two different inputs, say x₁ and x₂, where x₁ ≠ x₂, we can see that f(x₁) ≠ f(x₂). This is because the function cosh(x - 1) will give different values for different inputs, and the values will always be positive. Hence, f is injective.

Surjective means that for every y in the codomain, there exists an input x such that f(x) = y. In this case, the codomain is (0, ∞). However, since the function f(x) = cosh(x - 1) is always positive, it can never reach the value 0. Therefore, there is no input x that would give f(x) = 0. As a result, f is not surjective.

In summary, the function f is injective (one-to-one) but not surjective (onto).

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The value of given trigonometric value cos(22. 5°) is 0.387.

According to the statement

we have given that the trigonometric value and we have to find the exact value of that given value with the help of the half angle formula.

So, For this purpose, we know that the

The half angle formulas are used to find the exact values of the trigonometric ratios of the angles like 22.5°.

So,

The given value is :

cos(22. 5°)

Then the value of cos half angle formula is

\(cos (theta/2) = +- sqrt((1-cos theta) / 2)\)

then

The value of θ/2 is 22.5 degree.

And θ is 22.5*2

θ = 45 degree

and cos 45 degree is 1/squareroot 2

And by this the value of given value become is

\(cos 22.5 = +\sqrt{((\sqrt{2} -1)/(2 \sqrt{2} )) } = + 0.3827\)

So, The value of given trigonometric value cos(22. 5°) is 0.387.

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Answer:

Step-by-step explanation: 5x-5=3x+13--->   5x-3x=13+5---> 2x=13+5---- 2x=18----> x=9 hope it helps

Answer:

Step-by-step explanation: 40

Answer: \(d=\frac{T+N3}{G}\)

Step-by-step explanation:

To solve for d, we want to use algebraic properties to isolate d.

\(T=Gd-N3\)            [add both sides by N3]

\(T+N3=Gd\)            [divide both sides by G]

\(\frac{T+N3}{G} =d\)

\(d=\frac{T+N3}{G}\)

Now, we know that \(d=\frac{T+N3}{G}\).

Answer:

16.90

Step-by-step explanation:

Step-by-step explanation:

difference is 1.8

hope it is correct