Will give u brainlist

T A can be seen as a linear transformation from R^2 to R^3.

To find the range and codomain of the matrix transformation T A, we need to first determine the matrix T A . The matrix T A is obtained by multiplying the input vector x by A:

T A (x) = A x

Therefore, T A can be seen as a linear transformation from R^2 to R^3.

To determine the range of T A , we need to find all possible outputs of T A (x) for all possible inputs x. Since T A is a linear transformation, its range is simply the span of the columns of A. Therefore, we can find the range by computing the reduced row echelon form of A and finding the pivot columns:

A =  (\left[\begin{array}{cc}1 & 2 \ 1 & -2 \ 0 & 1\end{array}\right]) ~ (\left[\begin{array}{cc}1 & 0 \ 0 & 1 \ 0 & 0\end{array}\right])

The pivot columns are the first two columns of the identity matrix, so the range of T A is spanned by the first two columns of A. Therefore, the range of T A is the plane in R^3 spanned by the vectors [1, 1, 0] and [2, -2, 1].

To find the codomain of T A , we need to determine the dimension of the space that T A maps to. Since T A is a linear transformation from R^2 to R^3, its codomain is R^3.

If the functions were not linear, it would not make sense to talk about their range or codomain in this way. The concepts of range and codomain are meaningful only for linear transformations.

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We can conclude from answering the above question that the first two patterns of the matrix  form a sequence in the third from top with the numbers 4-2-6.

A matrix is a set of numbers arranged in rows and columns. learns about the elements and dimensions of matrices and introduces them for the first time. A rectangular grid of numbers in rows and columns is known as a matrix. Matrix A, as an illustration, has two rows and three columns. Its single row and 1 n row matrix order are the reasons behind its name. A = [1 2 4 5] is a row matrix of order 1 by 4, for instance. P = [-4 -21 -17] of order 1-by-cubic is another illustration of a row matrix.

We can conclude from answering the above question that the first two patterns of the matrix  form a sequence in the third from top with the numbers 4-2-6.

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The value of t from the given equation is 3.11.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is 9t=27.99

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Now, t=27.99/9

t=3.11

Therefore, the value of t is 3.11.

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Answer: 0.81818181818

Step-by-step explanation:

Answer:

-9/11

Step-by-step explanation:

You have to find the reciprocal of the number you're dividing by. In your case the number you are dividing by is 11/6. Just flip 11/6 to get the reciprocal, and the multiply it by -3/2. 6/11 is the reciprocal of 11/6.

\(-\frac{3}{2} * \frac{6}{11} = -\frac{18}{22}\)

Simplify by dividing by 2.

-9/11 is the answer.

HOPE THIS HELPS!!

The ratio of the depth of the liquid to the depth of the cup is 4/5.

Geometry and Ratio

The formula for the volume of a cone is:

\(V=\frac{1}{3}\pi r^{2}h\)

where r is the radius of the base of the cone and h is the height of the cone.

When the conical cup is filled with water, there will be a difference in the radius of the water and the cup and a difference in the height of the water and the height of the cup (can be seen in the picture).

From the difference in radius and height of the water with the conical cup, a ratio can be made of similarity rule of triangle (see picture).

If the radius of water is \(r_{1}\) and the height of water is \(h_{1}\), radius of cup is \(r_{2}\) and the height of cup is \(h_{2}\), so:

\(\frac{r_{1} }{r_{2} } =\frac{h_{1} }{h_{2} }\)

\(r_{1}\) with \(r_{2}\) and  \(h_{1}\) with  \(h_{2}\) have the same certain ratio. Let's assume the ratio is x, then it can be written:

\(r_{2}=x.r_{1} \\h_{2}=x.h_{1}\)

The ratio of the volume of water to the volume of the conical cup is 64/125, meaning that 64 of the water in the conical cup with a volume of 125.

From here we can substitute it in the volume ratio:

\(\frac{V_{1} }{V_{2}}=\frac{\frac{1}{3}\pi r_{1}^{2}h_{1} }{\frac{1}{3} \pi r_{2}^{2}h_{2}} =\frac{64}{125} \\\frac{V_{1} }{V_{2}}=\frac{\frac{1}{3}\pi r_{1}^{2}h_{1} }{\frac{1}{3} \pi (xr_{1})^{2}(x.h_{1})} =\frac{64}{125} \\\frac{V_{1} }{V_{2}}=\frac{\frac{1}{3}\pi r_{1}^{2}h_{1} }{\frac{1}{3}\pi r_{1}^{2}h_{1}x^{3} } =\frac{64}{125} \\\frac{V_{1} }{V_{2}}=\frac{1}{x^{3}}=\frac{64}{125}\\ \frac{1}{x^{3}}=\frac{64}{125}\\\\x^{3}=\frac{125}{64} \\x=\frac{5}{4}\)

The ratio between the radius and height of the cup and the water is 5/4. This means that the ratio between the radius and height of the water and the cup is 4/5.

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Answer:

D.

Step-by-step explanation:

Choices A., B., and C. are always true.

Choice D. is true only for rectangles with congruent sides, which are squares.

Answer: D.

Answer:

180 minutes

Step-by-step explanation:

because you times 5 by 36

The result of the Commission on Wartime Relocation and Internment of Civilians was C. In the 1980s, a commission held investigations and made recommendations.

The Commission on Wartime Relocation and the Internment of Civilians reviewed details surrounding the forced relocation and the internment of "aliens."

The commission discovered that the internment badly impacted American citizens and permanent resident aliens.

The commission recommended the payment of compensation to those who suffered the War Relocation.

Thus, the result of the Commission on Wartime Relocation and Internment of Civilians was Option C.

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The weight of gallon of water is 8.345 pounds according to density of water.

The gallon is a unit of volume and we need to find the weight of one gallon of water. So, the weight and volume are related to each other by the formula -

Density = mass/volume

Now, we know the volume and need the density of water in pounds per gallon.

The density of water is 8.345 pounds per gallon.

So, keeping the values in formula

Mass = density × volume

Mass = 8.345 × 1

Performing multiplication on Right Hand Side of the equation

Mass = 8.345 pounds

The weight of water is 8.345 pounds.

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Answer:

-300

Step-by-step explanation:

Step 1:  Find the amount Elmer's funds decreased after purchasing the rabbits:

Let x represent Elmer's funds.

Since Elmer bought five rabbits for $10 each, he lost $10 5 times.

x - (10 * 5)

x - 50

Thus, Elmer lost (spent) $50 for the 5 rabbits.

Step 2:  Find the amount Elmer's funds decreased after purchasing the  cupboards:

Since Elmer bought four cupboards for $70 each, he lost $70 4 times:

x - (50 + (70 * 4))

x - (50 + 280)

x - 330

Thus, after purchasing the rabbits and cupboards, Elmer lost $330.

Step 3:  Find the amount Elmer's funds increased after finding the twenty-dollar bill:

Since Elmer found a twenty-dollar bill, he gained $20

x - (330 + 20)

x - 310

Step 4:  Find the amount Elmer's funds increased after returning one rabbit:

Since Elmer returned one rabbit, he gained $10:

x - (310 + 10)

x - 300

Thus, Elmer's funds changed totally by -$300.

Putting all the information together, we have:

x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10

x - 50 - 280 + 30

x - 330 + 30

x - $300

Answer: 210 bugs

Step-by-step explanation:

From the information provided the measure of the angles are given as,

m ∠EFH = 71; and m ∠EFG = 142°.

Angles are measured in degrees, which is why they are called "degrees". A complete circle equals 360 degrees, so it is divided into 360 parts. Each part of the revolution is a degree. Any angle, whether acute, obtuse, reflected or right, can be measured with a protractor. Although based on right angles, we are able to distinguish acute, obtuse or reflex angles. But if we have two acute angles to measure, we cannot determine the greater angle between the two. Therefore, we need to use a protractor to measure angles accurately.

According to the Question:

It is to be noted that

m ∠GFH = m ∠EFH

⇒ m ∠EFH = 71°

⇒ m ∠EFG = m ∠GFH + m EFH

Hence,

m ∠EFG = 71 + 71

              = 142°

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Answer:

b.

Step-by-step explanation:

.

Answer:

B 112 ounces.....

nice to see you again

The maximum value of z is 0, and the values of the decision variables are x1 = 0, x2 = 10, x3 = 0, x4 = 0.

maximize: z = c1x1 + c2x2 + ... + cnxn

subject to

a11x1 + a12x2 + ... + a1nxn ≤ b1

a21x1 + a22x2 + ... + a2nxn ≤ b2

am1x1 + am2x2 + ... + amnxn ≤ bmxi ≥ 0 for all i

In our case,

the given LP is:maximize: z = 36x1 + 30x2 - 3x3 - 4x

subject to:

x1 + x2 - x3 ≤ 5

6x1 + 5x2 - x4 ≤ 10

xi ≥ 0 for all i

We can rewrite the constraints as follows:

x1 + x2 - x3 + x5 = 5  (adding slack variable x5)

6x1 + 5x2 - x4 + x6 = 10  (adding slack variable x6)

Now, we introduce the non-negative variables x7, x8, x9, and x10 for the four decision variables:

x1 = x7

x2 = x8

x3 = x9

x4 = x10

The objective function becomes:

z = 36x7 + 30x8 - 3x9 - 4x10

Now we have the problem in standard form as:

maximize: z = 36x7 + 30x8 - 3x9 - 4x10

subject to:

x7 + x8 - x9 + x5 = 5

6x7 + 5x8 - x10 + x6 = 10

xi ≥ 0 for all i

To apply the simplex algorithm, we initialize the simplex tableau as follows:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

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

z |  0    |   0    |   0    |  36    |   30   |   -3   |   -4   |    0    |

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

x5|   0   |   1    |   0    |   1    |   1    |   -1   |   0    |    5    |

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

x6|   0   |   0    |   1    |   6    |   5    |   0    |   -1   |   10    |

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

Now, we can proceed with the simplex algorithm to find the optimal solution. I'll perform the iterations step by step:

Iteration 1:

1. Choose the most negative coefficient in the 'z' row, which is -4.

2. Choose the pivot column as 'x10' (corresponding to the most negative coefficient).

3. Calculate the ratios (RHS / pivot column coefficient) to find the pivot row. We select the row with the smallest non-negative ratio.

Ratios: 5/0 = undefined, 10/(-4) = -2.5

4. Pivot at the intersection of the pivot row and column. Divide the pivot row by the pivot element to make the pivot element 1.

5. Perform row operations to

make all other elements in the pivot column zero.

After performing these steps, we get the updated simplex tableau:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

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

z |  0    |   0    |  0.4   |  36    |   30   |   -3   |   0    |   12    |

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

x5|   0   |   1    |  -0.2  |   1    |   1    |   -1   |   0    |   5     |

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

x10|   0  |   0    |   0.2  |   1.2  |   1   |   0    |   1    |   2.5   |

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

Iteration 2:

1. Choose the most negative coefficient in the 'z' row, which is -3.

2. Choose the pivot column as 'x9' (corresponding to the most negative coefficient).

3. Calculate the ratios (RHS / pivot column coefficient) to find the pivot row. We select the row with the smallest non-negative ratio.

Ratios: 12/(-3) = -4, 5/(-0.2) = -25, 2.5/0.2 = 12.5

4. Pivot at the intersection of the pivot row and column. Divide the pivot row by the pivot element to make the pivot element 1.

5. Perform row operations to make all other elements in the pivot column zero.

After performing these steps, we get the updated simplex tableau:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

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

z |  0    |   0    |  0.8   |  34    |   30   |   0    |   4    |   0     |

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

x5|   0   |   1    |  -0.4  |   0.6  |   1    |   5   |   -2   |   10    |

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

x9|   0   |   0    |   1    |   6    |   5    |   0   |   -5   |   12.5  |

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

Iteration 3:

No negative coefficients in the 'z' row, so the optimal solution has been reached.The optimal solution is:

z = 0

x1 = x7 = 0

x2 = x8 = 10

x3 = x9 = 0

x4 = x10 = 0

x5 = 10

x6 = 0

Therefore, the maximum value of z is 0, and the values of the decision variables are x1 = 0, x2 = 10, x3 = 0, x4 = 0.

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The area of the rectangular pasture is found to be 80,000 ft².

Given:

Let the pasture's rectangular length be l feet.

Given that the rectangular pasture's length being 200 feet longer than its breadth, its width must be w = l200 feet.

The pasture's boundary is;

2(l + w) = 1200

2(l + l - 200) = 1200

2l - 200 = 600

l = 400 feet

Width; w = l - 200

w = 400 - 200 = 200 feet

Rectangular area;

A = l x w

A = 400 x 200

A = 80,000 ft²

Thus, the area of the rectangular pasture is found to be 80,000 ft².

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Answer:

B: All four triangles are congruent.

C: All four triangles are right-angled.

E; Area of rhombus = 4 times the area of one triangle.

Step-by-step explanation:

A rhombus is a quadrilateral with equal length of sides. It stands on one of its edges, and a simple example is the shape of a diamond. It has two diagonals which bisect the angles of the rhombus.

When a rhombus is cut along its diagonals, the following properties of the shape formed can be observed:

B: All four triangles are congruent.

C: All four triangles are right-angled.

E; Area of rhombus = 4 times the area of one triangle.

Answer:

x=6

Step-by-step explanation:

5-6x=17-8x                  5-6x=17-8x

5-6(6)=17-8(6)     or     5+2x=17                 added 8x to both sides

5-36=17-48                  2x=12                    subtracted 5 from both sides

-31=-31                          x=6                       divided both sides by 2

(please mark brainliest, i need it to get to next lvl <3 )

The simplified expression is (-187.584x + 287.6672) / 6.8, which is equivalent to option A: -2.84x - 1.66.

To simplify the expression 5.3x - 8.14 / 3.6x - 9.8, we can first simplify the division by finding a common denominator for the fractions.

The common denominator for 3.6x and 9.8 is 3.6x * 9.8 = 35.28x.

Next, we can rewrite the expression using the common denominator:
5.3x * (35.28x/35.28x) - 8.14 * (35.28x/35.28x) / 3.6x * (35.28x/35.28x) - 9.8 * (35.28x/35.28x)

Simplifying further, we get:
(5.3 * 35.28x^2 - 8.14 * 35.28x) / (3.6 * 35.28x - 9.8 * 35.28x)

Now, we can simplify the numerator:
(187.584x^2 - 287.6672x) / (-6.8x)

Factoring out an x from the numerator, we have:
x(187.584x - 287.6672) / (-6.8x)

Finally, we can cancel out the x terms:
(187.584x - 287.6672) / -6.8

Therefore, the simplified expression is (-187.584x + 287.6672) / 6.8, which is equivalent to option A: -2.84x - 1.66.

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Millimeters can be converted into centimeters by dividing the value by 10. The solution has been obtained by using the unit conversion.

What is unit conversion?

A unit conversion is used to express the same property in a different unit of measurement. For instance, you could use minutes instead of hours to represent time or feet instead of miles to indicate distance. It commonly occurs when measurements are provided in one system of units, such as feet, but are required in a different system, such as chains.

We are required to convert millimeters to centimeters.

We know that 1 centimeter = 10 millimeters

So, for converting millimeters to centimeters, we need to divide the value by 10.

Hence, millimeters can be converted into centimeters by dividing the value by 10.

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Answer:

the diameter is twice the circle radius, or 20

Step-by-step explanation:

Recall that the radius is half the diameter <=> the diameter is twice the radius.  In this problem we need to find the radius first, then multiply it by 2 to obtain the diameter.

We need to determine the distance between the center of the circle Q(6, -4) and the point R(14, 2) on the circle.  

The Pythagorean Theorem applies here.  Going from Q to R, x changes from 6 to 14, or 8 units, which is the horizontal leg of a right triangle, and y changes from -4 to 2, or 6 units.  Thus, according to the Pythagorean Theorem, the length of the hypotenuse of this triangle is

r = √(6² + 8²) = √100 = 10

and so the diameter is twice that, or 20.

The margin of error for a 95% confidence interval is  0.263.

A probability distribution which is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean.

The formula for margin of error is ;

ME = (z × σ) / √ n

The confidence interval is 95% = 0.95.

Mean (σ) =14

standard deviation = 3.

Total population (n) = 500

Substitute the values in the formula;

ME = (z × σ) / √ n

      = (1.96 × 3)/√500

      = (1.96 × 3)/22.36

ME  = 0.263

Therefore, the margin of error for a 95% confidence interval is 0.263.

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The complete question is -

A study of five hundred adults found that the number of hours they spend on social networking sites each week is normally distributed with a mean of 14 hours. The population standard deviation is 3 hours. What is the margin of error for a 95% confidence interval?

Step-by-step explanation:

the slow intercept form is

y = ax + b

the slope is always the factor a of x (in every line equation).

it is defined as the ratio y/x expressing how many units y changes, when x changes a certain amount of units - e.g. when going from one point on the line to another.

so, for the given 2 points x changes by -5 (from 7 to 2), and y changes by +10 (from 2 to 12).

therefore, the slope is 10/-5 = -2

our line equation looks more like

y = -2x + b

to get b we use the coordinates of one of the points.

e.g. 7, 2

2 = -2×7 + b = -14 + b

b = 16

or full line equation is

y = -2x + 16

Answer:

Step-by-step explanation:

1) rise= change in f(x)= 8-13= -5

2)run=change in x= -2-(-3)= 1

3) y-intercept (x=0)= -2

4) y=mx+c

   c(y-intercept)=-2 m=\(\frac{-5}{1}\)=-5

   f(x)=-5x-2

Answer:

Step-by-step explanation:

(-3, 13) (-2, 8)

(8 - 13)/(-2 + 3)= -5/1= -5

y - 13 = -5(x + 3

y - 13 = -5x - 15

y = -5x - 2

1. rise is -5

2. run is 1

3.  y-intercept is -2

4. f(x)= -5x - 2

Answer:

its  b

Step-by-step explanation:

took the quiz

Answer:

I would go with D

Step-by-step explanation:

You can look at the graph and answer it

Answer:

I found the answer key for you

The largest taco contained approximately 1 kg of onion for every 6. 6 kg grilled teak. then Amount of grilled steak used: 6.6 (79.17) = 538.356 kg

What is a unit amount in math?

When a price is expressed as a quantity of 1, such as $25 per ticket or $0.89 per can, it is called a unit price. If you have a non-unit price, such as $5.50 for 5 pounds of potatoes, and want to find the unit price, divide the terms of the ratio

1 k + 6.6 k = 617.3

Where “k” is a constant value, a multiplier.

Solving for k:

7.8 k = 617.3

k = 617.3 /7.8  

k= 79.17

So:

Amount of onion used:

1 (79.17) = 79.17 kg

Amount of grilled steak used:

6.6 (79.17) = 538.356 kg

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Step-by-step explanation:

W=-6, x=1.2, and z=-6/7

(W²x-3)÷10-z

we substitute

((-6²)(1.2)-3)÷10-(-6/7)

((-36)(1.2)-3) ÷10-(-6/7)

(-43.2-3) ÷10(6/7)

(-46.2)÷60/7

-46.2÷60/7

-46.2*7/60

-46.2/1*7/60

-323.4/60

-5.39

Required value of (w²x−3)÷10⋅z when w=−6, x = 1.2, and z=−6/7 is (-4.69)

What is the value of of (w²x−3)÷10⋅z when w=−6, x = 1.2, and z=−6/7 ?

We know,

By BODMAS rule,

B - Bracket

O - Of

D - Division

M - Multiplication

A - Addition

S - Subtraction

We should maintain the following sequence,

Bracket - Of - Division - Multiplication - Addition - Subtraction

We are applying BODMAS rule.

Here,\(( {w}^{2} x - 3) \div 10 . z\) and w=−6, x = 1.2, and z=−6/7

We are putting value of w,x,z in given expression and get

\(( {( - 6)}^{2} \times 1.2 - 3) \div 10 ( - \frac{6}{7} ) \\ = -(36 \times 1.2 - 3) \div \frac{60}{7} \\ = -(43.2 - 3) \div \frac{60}{7} \\ = -40.2 \div \frac{60}{7} \\= -40.2 \times \frac{7}{60} = -4.69\)

Therefore, Required value of the given term is (-4.69)

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Answer:

12+15

Step-by-step explanation:

You distribute the 3 to the 4 and 5

Answer:

27

Step-by-step explanation:

3(4+5) = 12+15

add those together you get 27