What is the sun's radius in miles.​

Answer:

27.3%

Step-by-step explanation:

300/1100 = 0.2727

to get percentage we multiply ^^ by 100

so = 27.27% or rounded to nearest tenth = 27.3

The solutions of the homogeneous system A x = 0 are all linear combinations of the two vectors v1 and v2, which span the null space of A.

Step-by-step explanation:

To find all solutions of the homogeneous system of linear equations

A x = 0,

Find the null space of the matrix A, by solving the equation A x = 0 using Gaussian elimination or row reduction.

Using Gaussian elimination, we can reduce the augmented matrix [A|0] as follows:

1 2 2 0 | 0

2 4 0 -4 | 0

0 0 -4 -8 | 0

The last row of the reduced matrix corresponds to the equation 0 = 0, which is always true and does not provide any new information.

The second row of the reduced matrix corresponds to the equation -4z - 4w = 0, which can be rewritten as:

z + w = 0

where z and w are the third and fourth variables in the original system, respectively.

Solve for the first and second variables, x and y, in terms of z and w as follows:

x + 2y + 2z = 0

y = -x/2 - z

x = x

z = -w

Therefore, the solutions of the homogeneous system A x = 0 are of the form:

[x, y, z, w] = [x, -x/2 - z, z, -z]

where x and z are arbitrary constants.

Therefore, the null space of A is the set of all linear combinations of the two vectors:

v1 = [1, -1/2, 0, 0]

v2 = [0, -1/2, 1, -1]

Hence, the solutions of the homogeneous system A x = 0 are all linear combinations of the two vectors v1 and v2, which span the null space of A.

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Answer:

0 solutions

Step-by-step explanation:

The question in a nutshell is basically asking what solutions intersect each other. As (I assume) you have drawn out, they do not intersect at all, meaning that there are 0 solutions.

If you were not given a graph, you would have to set the equations equal to each other. If the number does not equal each other, then they are not solutions of each other. If it does, it is a solution. In this case, it is not.

y=-3x+5

y=-3x-6

\(-3x+5=-3x-6\\-3x+3x+5=-3x+3x-6\\\\5 \neq -6\)

Given the topological spaces X = {D, O, R, K} with the topology Tx and Y = {M, A, T, H} with the topology Jy, we are asked to determine whether the set E = {0, K} is open in X and open in Y.

To determine whether the set E = {0, K} is open in the topological spaces X and Y, we need to check if E belongs to the respective topologies, Tx and Ty.

In X, the topology Tx is given by: Tx = {Ø, {0}, {D, O}, {O, R}, {D, O, R}, X}. We can see that E = {0, K} is not explicitly listed in Tx. Therefore, E is not open in X since it does not belong to the topology.

In Y, the topology Ty is given by: Jy = {0, {M}, {M, A}, {M, A, T}, Y}. Again, E = {0, K} is not explicitly listed in Ty. Hence, E is not open in Y as it does not belong to the topology.

In both cases, the set E = {0, K} is not open in the respective topological spaces X and Y because it is not a member of the defined topologies.

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Answer: 17 to 15

Step-by-step explanation:

The equation formed using the given data is 195 = x + 12 and your final score is 183 points.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say your final score is x

Given that,

Your final score x is 12 points less than your friend's final score.

So,

x = friend final score - 12

Now,

Friend final score = 195

So,

x = 195 - 12

x + 12 = 195

195 = x + 12

Now,

x = 195 - 12 = 183

Hence "The equation formed using the given data is 195 = x + 12 and your final score is 183 points".

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Answer:

79

Step-by-step explanation:

The answer is 27 m² and 9 m² of blue and brown fabric will be used respectively.

A square pyramid is a three-dimensional shape that has a total of four triangular faces.  

A most famous example of such a pyramid in real life is the Great Pyramid of Giza.

The sides are triangular faces are 3 m and 4.5m

Height of the prism is 4.5m and the side of the square base is 3m

The surface area for triangular face is (1/2) *  base * height

= (1/2) * 3 * 4.5

= 6.75 m²

For four faces the surface area of the blue fabric required is side * side

= 4 * 6.75

= 27 m²

For the base , brown fabric is being used and the surface area of the base is

= 3 * 3

= 9 m²

Therefore 27 m² and 9 m² of blue and brown fabric will be used respectively.

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Answer:

dont care but chose e

Step-by-step explanation:

e

Answer:

280 minutes

Step-by-step explanation:

Given that :

Daily dog walk routine :

Minutes walked in the morning = 15

Minutes walked in the afternoon = 25

Number of days per week = 7

The number of minutes Theo walks dog per week :

Number of days per week * (minutes walked in the morning + minutes walked in the afternoon)

7 * (15 + 25)

7 * (40)

= 280 minutes

Area = 19.63cm²

A=πr2=π·2.52≈19.63495cm²

If the scale factor is 1/4. Then the dimension of the original photo will be 15 inches and 136 inches.

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

There is no effect of dilation on the angle.

The scale factor will be 4.

The dimension of the poster will be 60 in. by 52 in.

Then the dimension of the original photo will be

Length = 1/4 × 60 = 15 inches

Width = 1/4 × 52 = 13 inches

If the scale factor is 1/4. Then the dimension of the original photo will be 15 inches and 136 inches.

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Answer:

$705.60

Explanation:

Discounted price:

$840 × (100% - 40%)

= $840 × 60%

= $840 ÷ 100 × 60

= $504

Markup:

$504 × (100% + 40%)

= $504 × 140%

= $504 ÷ 100 × 140

= $705.60

i hope this helps! :D

Based on the given clues, we can determine the person, drink, and price paid for each individual:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

From clue 1, we know that either Calvin or the person who got the Root Beer paid $4.99. Since Calvin paid more than Lee according to clue 4, Calvin cannot be the one who got the Root Beer. Therefore, Calvin paid $4.99.

From clue 2, Kelli paid $6.99.

From clue 3, the person who got the water paid $1 less than Dean. Since Dean paid the highest price, the person who got the water paid $1 less, which means Lee paid $5.99.

From clue 5, the person who got the Root Beer paid $1 less than the person who got the Iced Tea. Since Calvin got the Root Beer, Lee must have gotten the Iced Tea.

Therefore, the final assignments are:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

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Step-by-step explanation:

I hope this answer is helpful ):

Answer:

We conclude that:

\(\frac{18p}{5}+12q+18-\frac{18p}{5}-16q-6=-4q+12\)

Hence, option A is true.                    

Step-by-step explanation:

Given the expression

\(3\left(\frac{6}{5}p+4q+6\right)-2\left(\frac{9}{5}p+8q+3\right)\)

solving the expression

\(3\left(\frac{6}{5}p\:+\:4q\:+\:6\right)\:-\:2\left(\frac{9}{5}p\:+\:8q\:+\:3\right)=3\left(\frac{6p}{5}+4q+6\right)-2\left(\frac{9p}{5}+8q+3\right)\)

Expand  \(3\left(\frac{6p}{5}+4q+6\right)=\frac{18p}{5}+12q+18\)

                                                           \(=\frac{18p}{5}+12q+18-2\left(\frac{9p}{5}+8q+3\right)\)

Expand  \(-2\left(\frac{9p}{5}+8q+3\right)=-\frac{18p}{5}-16q-6\)

                                                             \(=\frac{18p}{5}+12q+18-\frac{18p}{5}-16q-6\)

Group like terms:                                

                                                             \(=\frac{18p}{5}-\frac{18p}{5}+12q-16q+18-6\)

Add similar elements: \(\frac{18p}{5}-\frac{18p}{5}=0\)

                                                               \(=12q-16q+18-6\)

Add similar elements:  12q-16q=-4q

                                                                \(=-4q+18-6\)

                                                                \(=-4q+12\)

Therefore, we conclude that:

\(\frac{18p}{5}+12q+18-\frac{18p}{5}-16q-6=-4q+12\)

Hence, option A is true.                                                                                                        

Based on the given information, we can determine that the rectangular prism is the main body of the toy house while the triangular prism roof sits on top of it. However, we are not given any measurements for either prism or the overall dimensions of the toy house.

Assuming the cube-shaped hole is centered in the rectangular prism and has a side length of 4 inches, we can calculate the volume of the hole as 4 x 4 x 4 = 64 cubic inches.

To find the total volume of the toy house, we would need to know the dimensions of both prisms and add them together. Without that information, we cannot give a specific answer.

In summary, we can calculate the volume of the cube-shaped hole but cannot determine the total volume or dimensions of the toy house without more information.

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If c represents child bikes and a represents adult bikes, the company can build 10 child bikes and 12 adult bikes in a week in that C. Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 based on these inequalities.

Generally, inequalities are mathematical statements that show that two mathematical expressions are unequal.

Inequalities may represent less than, less than or equal to, greater than, and greater than or equal to.

The inequalities represent the capacity of the resources that cannot be exceeded for building or testing the bikes.

The number of hours to build a child's bike, c = 4 hours

The number of hours to test a child's bike, c = 4 hours

The number of hours to build an adult's bike, a = 6 hours

The number of hours to test an adult's bike, a = 4 hours

The total number of building time per week = 120 hours

The total number of testing times per week = 100 hours

Building 10c and 12a bikes will consume 112 hours (10 x 4 + 12 x 6), less than 120 building hours per week.

Testing 10c and 12a bikes will consume 88 hours (10 x 4 + 12 x 4), less than 100 testing hours per week.

Thus, we can conclude that Option C represents the correct inequalities for the situation.

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Answer:

x = -22/9 or, x = -2.44 in decimal form

Step-by-step explanation:

9x = -22

/9      /9      (divide both sides by 9)

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

x = -22/9     (when converted to decimal form, you get x = -2.44)

Answer: $7.65 for a dozen/12

Step-by-step explanation: 2.55 x 3

Answer:

x=4, y=4

Step-by-step explanation:

X=(4+8y)/9

-6×(4+8y)/9 +6y=0

-2×(4+8y)/3+ 6y=0

-2×(4+8y) + 18y =0

-8-16y+18y=0

2y=8

y=4

-6x+6×4=0

-6x=-24

x=4

Answer:

1

Step-by-step explanation:

Answer:

i think its 4,560

Step-by-step explanation:

The shaded sections of the trapezoid are triangles.

We know how to find the area of triangles

A = 1/2 bh

Lets start with the left triangle

The bases is 1.1 inches and the height is 3.8 inches

A left triangle is

A = 1/2 ( 1.1) * 3.8 = 2.09

The right triangle has the same dimensions

A right triangle is

A = 1/2 ( 1.1) * 3.8 = 2.09

Add the two triangles together

2.09+2.09 = 4.18 in^2

The area of the shaded region is 4.18 in^2

Answer:

1 meter

Step-by-step explanation:

Circumference of circle = 2 · r · π

Circumference = 2π

Let's solve

2π = 2 · r · π

2 = 2 · r

r = 1 meter

So, the radius is 1 meter

Caliban's diminished threat and importance by the end of the play serves a specific purpose in Shakespeare's "The Tempest." It highlights the theme of colonization and power dynamics, as well as challenges stereotypes and prejudices associated with "the other."

Caliban, initially depicted as a savage and dangerous creature, gradually loses his menacing presence as the play unfolds. This transformation is intentional, aiming to convey a deeper message about the dehumanizing effects of colonization. By the end, Caliban's character becomes a symbol of the oppressed and marginalized, reflecting the consequences of exploitation and subjugation. Through this portrayal, Shakespeare prompts the audience to question their preconceived notions and biases, challenging the notion that power and civility are inherently linked to physical appearance or societal status. Additionally, Caliban's character serves as a contrast to the other characters in the play. While Prospero represents civilization and control, Caliban embodies the natural and untamed. This stark dichotomy underscores the broader theme of the clash between the civilized and the wild. Ultimately, Caliban's transformation serves to provoke introspection and stimulate conversations about the treatment of those deemed different or inferior in society.

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Answer:

Deon spent 1/10 of an hour more on chemistry than on math

Step-by-step explanation:

To approximate the solution and maximize the given objective function we need to find the steepest ascent direction and iteratively update the values of x₁ and x₂ to approach the maximum value of z.

The method of steepest ascent involves finding the direction that leads to the maximum increase in the objective function and updating the values of the decision variables accordingly. In this case, we aim to maximize the objective function z = -(x₁ - 3)² - (x₂ - 2)².

To find the steepest ascent direction, we can take the gradient of the objective function with respect to x₁ and x₂. The gradient represents the direction of the steepest increase in the objective function. In this case, the gradient is given by (∂z/∂x₁, ∂z/∂x₂) = (-2(x₁ - 3), -2(x₂ - 2)).

Starting with initial values for x₁ and x₂, we can update their values iteratively by adding a fraction of the gradient to each variable. The fraction determines the step size or learning rate and should be chosen carefully to ensure convergence to the maximum value of z.

By repeatedly updating the values of x₁ and x₂ in the direction of steepest ascent, we can approach the solution that maximizes the objective function z. The process continues until convergence is achieved or a predefined stopping criterion is met.

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The grade point average received by hector is 3.75.

Your grade point average (GPA) is calculated by dividing the total number of credits you have earned in high school by the sum of all of your course grades. The majority of colleges and secondary schools use a 4.0 scale to report grades. A perfect score, or an A, is a 4.0.

The unit value for each course in which a student obtains one of the grades mentioned above is multiplied by the grade point total for that grade to determine the GPA. Then, divide the sum of these products by the sum of the units. The cumulative GPA is calculated by dividing the total grade points by the total number of units.

3 a and one is B received by Hector.

The A = 4.0, B = 3.0, C = 2.0, D = 1.0 is given by college

We have GPA= A+A+A+B/4

GPA=4+4+4+3/4

GPA= 15/4

GPA=3.75

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Complete question

Hector Ramirez received three A's and one B in his college courses. What is his grade point average? Assume each course is three credits. A = 4.0, B = 3.0, C = 2.0, D = 1.0

This integral represents the sum of the volumes of all the infinitesimally thin cylindrical shells that make up the solid.

To set up the integral for the volume of the solid obtained by rotating the region bounded by the curves y = x, y = 0, and x = 4 about the line x = 8, we can use the method of cylindrical shells.

First, let's draw a rough sketch of the region and the axis of rotation:

```

|

|

|       +-----------+

|       |           |

|       |           |

|       |           |

|       |           |

|       +-----------+ <-- x = 4

|       |

|       |

|       |

|       |

|       |

|       |

|       |

|       |

+------------------------ <-- x = 8

```

The region bounded by y = x, y = 0, and x = 4 is a triangle with a right angle at the origin.

To set up the integral, we consider an infinitesimally thin cylindrical shell with radius r, height h, and thickness Δy. The volume of this shell can be approximated as the product of its circumference, height, and thickness.

The radius of the shell, r, is the distance from the axis of rotation (x = 8) to the curve y = x. Since x = y for the region, r = 8 - y.

The height of the shell, h, is the difference between the x-values at the top and bottom of the region. In this case, h = 4 - 0 = 4.

The thickness of the shell, Δy, represents an infinitesimally small change in the y-direction.

Therefore, the volume of the shell is approximately given by V_shell = 2πr * h * Δy.

To find the total volume, we integrate this expression over the range of y-values that span the region. In this case, the integral is set up as follows:

∫[0, 4] 2π(8 - y) * 4 * dy

This integral represents the sum of the volumes of all the infinitesimally thin cylindrical shells that make up the solid. By evaluating this integral, you can find the exact volume of the solid obtained by rotating the region bounded by y = x, y = 0, and x = 4 about the line x = 8.

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Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x, y = 0, X = 4; about x = 8 2 (8 - y2)2 – 16 dy 0