Factor the expression 4x + 32. Explain each step you
take in the process.

572000 or 5.72×10^5

Step-by-step explanation:

depends on what format ur teacher prefers but both show 3 sig figs correctly so either is correct

Answer:

≈5.15 [cm].

Step-by-step explanation (English version):

1) Capacity - V - 1000 cm³;

height - h - 12 cm;

radius - r - ?

2) the initial formula is:

V=π*r²*h, where π=3.1415;

then final formula of the required r is:

\(r=\sqrt{\frac{V}{\pi *h}};\)

3)   \(r=\sqrt{\frac{1000}{3.1415*12}} =\sqrt{26.5266} =5.15[cm].\)

A M function file 'tconvert.m', which can convert coordinates (x, y) into Polar from Cartesian coordinates. is:
"```matlab
function [theta, r] = tconvert(x, y)
```"

To create the M function file 'tconvert.m' that converts Cartesian coordinates (x, y) into Polar coordinates, follow these steps:

1. Open the MATLAB Editor or any text editor and create a new file named 'tconvert.m'.

2. In the file, start with the function declaration line: `function [theta, r] = tconvert(x, y)`.

3. Inside the function, write the conversion code using MATLAB's built-in functions:

  - Calculate the angle theta using `atan2(y, x)`, which returns the angle in radians.

  - Calculate the radius r using `sqrt(x^2 + y^2)`, which gives the distance from the origin.

4. End the function with the `end` keyword.

5. Save the file in a directory accessible by MATLAB.

The function 'tconvert' takes the Cartesian coordinates (x, y) as input and returns the corresponding Polar coordinates (theta, r). The angle theta represents the direction in radians, and the radius r represents the distance from the origin.

The function can be called from the MATLAB command window or from another script or function file.

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Complete question:

Write a M function file 'tconvert.m', which can convert from Cartesian coordinates (x,y) into Polar coordinates.

C) Company B: Using linear regression models from both data sets, she determines that it pays about $10 more.

What is linear regression?

Linear regression analysis is used to predict the value of a variable based on the value of another variable.

The variable you want to predict is called the dependent variable.

The variable you are using to predict the other variable's value is called the independent variable.

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Amelia should work for (C) company B: using linear regression models from both data sets, she determines that it pays about $10 more.

Therefore, Amelia should work for (C) company B: using linear regression models from both data sets, she determines that it pays about $10 more.

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The complete question is given below:

If Amelia wants to make the maximum amount of money working only 22 hours per week, which company should she work for? explain your answer.

A) Company A: Using linear regression models from both data sets, she determines that it pays about $14 more.

B) Company A: Using quadratic regression models from both data sets, she determines that it pays about $5 more.

C) Company B: Using linear regression models from both data sets, she determines that it pays about $10 more.

D) Company B: Using exponential regression models from both data sets, she determines that it pays about $8 more.

Answer:

The temperature at the end of the day was -9°C

Step-by-step explanation:

-2 - 7 = -9

Answer:

A=122

Step-by-step explanation:

The sum of degree of angles in a triangle=180

Angle a =180-43-15=122

Answer:

\(H_{o}\): Larger proportion of news media = democrats

Ha : Large proportion of news media \(\neq\) democrats  

Step-by-step explanation:

The correct order of the steps of a hypothesis test is given following  

1. Determine the null and alternative hypothesis.

2. Select a sample and compute the z - score for the sample mean.

3. Determine the probability at which you will conclude that the sample outcome is very unlikely.

4. Make a decision about the unknown population.

These steps are performed in the given sequence to test a hypothesis.

Solution:

Given:

To calculate the surface area of a rectangular prism, the formula below is used:

Substituting the given values into the formula:

Therefore, the correct answer is OPTION C.

To prove that v = 0, we can use the properties of an inner product and the fact that {v₁, v₂, ..., vₙ} is an orthogonal basis of V.

Since {v₁, v₂, ..., vₙ} is an orthogonal basis, it means that for any i and j where i ≠ j, the inner product of vᵢ and vⱼ is zero. In other words, vᵢ⋅vⱼ = 0 for all i ≠ j.

Now, let's consider the inner product of v with itself: v⋅v.

Using the orthogonal property, we can expand v as a linear combination of the basis vectors: v = c₁v₁ + c₂v₂ + ... + cₙvₙ, where c₁, c₂, ..., cₙ are scalars.

Substituting this into the inner product, we have:

v⋅v = (c₁v₁ + c₂v₂ + ... + cₙvₙ)⋅(c₁v₁ + c₂v₂ + ... + cₙvₙ)

Expanding the inner product, we get:

v⋅v = (c₁v₁⋅v₁ + c₂v₂⋅v₂ + ... + cₙvₙ⋅vₙ) + (c₁v₁⋅v₂ + c₂v₂⋅v₃ + ... + cₙ₋₁vₙ₋₁⋅vₙ) + ...

However, since v is orthogonal to each vᵢ, except v itself, we have vᵢ⋅vⱼ = 0 for all i ≠ j. This means that all cross terms in the expansion will be zero.

Thus, we are left with:

v⋅v = c₁v₁⋅v₁ + c₂v₂⋅v₂ + ... + cₙvₙ⋅vₙ

Since v₁, v₂, ..., vₙ are orthogonal basis vectors, their inner products with themselves are nonzero. Therefore, v₁⋅v₁ ≠ 0, v₂⋅v₂ ≠ 0, ..., vₙ⋅vₙ ≠ 0.

For the inner product of v⋅v to be zero, it means that all the coefficients c₁, c₂, ..., cₙ must be zero. In other words, v = 0.

Hence, we have proven that if v is orthogonal to v₁, v₂, ..., vₙ, then v must be the zero vector.

The complete question is:

Let V be an inner product space, and let {v₁, v₂, ... vₙ} be an orthogonal basis of V. Let v ∈ V, and suppose that v is orthogonal to v₁, to v₂, ..., and to vₙ. Prove that v = 0

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The function that is used to draw a line in the frame is DrawLine function.

DrawLine is simply draws a line connecting the two points that are specified by the coordinate pairs. It should be noted that the drawLine() function is simply an inbuilt function in the GraphicsMagick library that is used to draw the line with specified coordinates.

The function returns the true value on success. In this case, this method is used to draw line form a specified set of points to a specified set of points and it needs a PointF variable that is a set of (x, y) points.

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To find out how much flour Ricky needs, we first need to find 1 1/2 times the amount of flour in the original recipe.

2 3/3 cups of flour is the same as 8/3 cups of flour.

To find 1 1/2 times the amount of flour in the original recipe, we can multiply 8/3 by 1 1/2:

8/3 x 3/2 = 24/6 + 4/6 = 28/6

So 1 1/2 times the amount of flour in the original recipe is 28/6 cups of flour.

To find out how much flour Ricky needs, we can multiply this amount by 1 1/2:

28/6 x 3/2 = 84/12 + 18/12 = 102/12

So Ricky needs 102/12 cups of flour, which simplifies to 8 1/2 cups of flour.

The correct answer is option B: Yes, because the function is continuous on the interval (-1,2] and differentiable on the interval (-1,2).

The Mean Value Theorem states that if a function is continuous on a closed interval [a, b] and differentiable on the open interval (a, b), then there exists at least one point c in (a, b) where the instantaneous rate of change (the derivative) is equal to the average rate of change over the interval [a, b].

In this case, the function f(x) = -8 + x^2 is continuous on the closed interval [-1, 2] because it is a polynomial function, and polynomials are continuous everywhere. It is also differentiable on the open interval (-1, 2) because it is a differentiable function.

Therefore, by meeting the criteria of continuity on the closed interval and differentiability on the open interval, the Mean Value Theorem applies to the function f(x) = -8 + x^2 on the interval (-1, 2].

To find the point(s) guaranteed to exist by the Mean Value Theorem, we can determine the average rate of change of the function over the interval (-1, 2]. The average rate of change is given by (f(b) - f(a))/(b - a), where a and b are the endpoints of the interval.

Using the formula, we have:

Average rate of change = (f(2) - f(-1))/(2 - (-1)) = (-4 - (-7))/(2 + 1) = (-4 + 7)/3 = 1/3.

This means that there exists at least one point c in the interval (-1, 2) where the instantaneous rate of change (the derivative) of the function f(x) = -8 + x^2 is equal to 1/3.

In summary, the Mean Value Theorem applies to the function f(x) = -8 + x^2 on the interval (-1, 2]. It guarantees the existence of at least one point c in the open interval (-1, 2) where the instantaneous rate of change (the derivative) is equal to the average rate of change, which is 1/3.

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Answer:

54

Step-by-step explanation:

You add 5+19 and divide my 2

Check the picture below.

The density of an object is 10490kg/m^3.

Density is like rate. It tells you how much of a thing is available for each unit other thing which contains the first thing.

Density = (Total amount available)/(total space which contains that amount)

Given;

The mass of object= 73,430 kilograms

The volume of object= 7m^3

Now

D=mass/volume

D=73430/7

D=10490

Therefore, the density will be 10490kg/m^3.

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Answer:

acute

Step-by-step explanation:

they are less than 90%

Answer:

C. Vertical / B. Acute

Step-by-step explanation:

Vertical angles are angles opposite each other where two lines cross.

The angles shown are displaying this. They are also under 90 degrees, so are acute too.

Answer:

x = 10

Step-by-step explanation:

55 = 5x + 5  Subtract 5 from both sides of the equation

50 = 5x  Divide both sides by 5

10 = x

Answer:10

Step-by-step explanation:- 5 on both sides then you get 50=5x 50/5=10

The center of the circle, and consequently the central point of the resort's swimming pool, is located at the intersection of the two legs of the right triangle, approximately 60 feet from one vertex and 120 feet from the other.

The upscale resort has ingeniously designed its circular swimming pool to encompass a central area containing a restaurant. This central area takes the form of a right triangle with legs measuring 60 feet and 120 feet, while the hypotenuse, the longest side of the triangle, spans approximately 103.92 feet. The vertices of the triangle neatly coincide with points on the circumference of the circular pool.

Due to the properties of a right triangle, the hypotenuse is also the diameter of the circle. This means that the circular pool is precisely constructed around the right triangle, with its center located at the midpoint of the hypotenuse.

To determine the exact coordinates of the center of the circle, we can consider the properties of right triangles. Since the legs of the right triangle are perpendicular to each other, the midpoint of the hypotenuse coincides with the point where the two legs intersect.

In this case, the center of the circle is the point of intersection between the 60-foot leg and the 120-foot leg of the right triangle.

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Answer:

Step-by-step explanation:

You want the value of the piecewise function for various values of x.

The first step in evaluating a piecewise function is determining which domain is applicable to the value of x you have. Then you use the corresponding function, evaluating it in the usual way.

For x = -5, the applicable domain is x < -3, so the function is ...

  h(-5) = -4(-5) -18 = 20 -18

  h(-5) = 2

For x = 0, the applicable domain is -3 ≤ x < 1, so the function is ...

  h(0) = 1

For x = 1 or 4, the applicable domain is x ≥ 1, so the function is ...

  h(1) = 1 +2 = 3

  h(4) = 4 +2 = 6

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Answer:

jakdjkandnxnanbeiwiwifo nslfjiakwkd r. kalfdp

Answer:

The easiest way to solve this is by elimination.  

3x - y = 6  

6x + y = 21

Since you have a negative and positive y with the same coefficients (1), they cancel, and you add the other terms so it would look like:

9x = 27  

Then solving for x leaves you with x = 3  

Then you take the x value of three and plug it into to either of the equations, so  

3(3) - y = 6

9 - y = 6  

subtracting 9  

-y = -3  

then dividing by -1  

y = 3  

so the solution is x = 3 y = 3 or (3,3)  

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Add 3x + 6x, and execute the y, then -6 from 21 and you got ur answer of 15!

Answer:

12

Step-by-step explanation:

3x4

Answer:

1752

Step-by-step explanation:

The maximum number of major ideas that can be included in a specific purpose statement depends on several factors, but it is generally recommended that the statement include one to three major ideas. This helps the speaker to focus their ideas and organize their content in a way that effectively communicates their message to the audience

A specific purpose statement is a statement that defines the main objective or goal of a speech or presentation. It serves as a guide for the speaker, helping them to focus their ideas and organize their content in a way that effectively communicates their message to the audience.

The number of major ideas that can be included in a specific purpose statement depends on several factors, including the length of the speech or presentation, the complexity of the topic, and the speaker's ability to effectively communicate their message.

In general, it is recommended that a specific purpose statement include only one to three major ideas. This allows the speaker to focus their attention on a limited number of key points and ensures that the audience is not overwhelmed with too much information. Additionally, having a limited number of major ideas makes it easier for the speaker to organize their content and for the audience to understand and retain the information.

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A specific purpose statement should include one or two major ideas that are focused and directly relevant to the topic at hand.

Including too many ideas can make the statement confusing and difficult for the audience to understand, so it's important to be selective about which ideas to include.

The goal is to create a specific purpose statement that is clear, concise, and easy for the audience to understand, while effectively conveying the key ideas of the communication.

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Your answer is 2 + 2 = 4

Answer:

Step-by-step explanation:

thx for helping

Answer:

B) 3x - 4y = -28

Step-by-step explanation:

Perpendicular = 90 degree angle

Answer:

B) 3x - 4y = -28

Answer: 27 students

Step-by-step explanation:

First take 45 + 90 = 135 students total

20% = 0.2

Then take 135 times 0.2 = 27 students

Answer:

185

Step-by-step explanation:

The false statement suggests that class boundaries ensure consecutive bars of a histogram touch, but this is incorrect. Class boundaries are used to define intervals and group data, not to ensure that bars touch.

Class boundaries in a histogram are not designed to ensure that consecutive bars touch. Instead, they are used to define the intervals or ranges into which the data is grouped. The purpose of class boundaries is to establish a clear distinction between adjacent classes, making it easier to interpret the data and create meaningful intervals for analysis.

To clarify, let's consider an example where we have a set of data points ranging from 10 to 30. We want to create a histogram with five bars. We can define the class boundaries as follows:

Class 1: 10 - 14.9

Class 2: 15 - 19.9

Class 3: 20 - 24.9

Class 4: 25 - 29.9

Class 5: 30 - 34.9

In this example, the class boundaries are chosen based on the desired intervals for the histogram. However, it's important to note that the bars representing these classes in the histogram will not touch each other. There will be gaps between them to indicate that they are separate intervals.

The purpose of class boundaries is to create distinct and meaningful intervals for analyzing the data in a histogram.

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