Also do stepbystep pls

Answer:

y = 3

x = 2 - z

Step-by-step explanation:

We have the system:

2*x+y+2*z=7

2*x-y+2*z=1

5*x+y+5*z=13

In the first and second equations we have the term (2*x + 2*z) = A

Then we can rewrite the first two equations as:

A + y = 7

A - y = 1

isolating A in the first equation, we get:

A = 1 + y

Now we replace this in the other equation:

(1 + y) + y = 7

1 + 2*y = 7

2*y = 6

y = 3.

then:

A + y = 7

A + 3 = 7

A = 7- 3 = 4

A = 2*x + 2*z  = 4.

Now let's go to the third equation:

(5*x + 5*z) + y = 13

we can rewrite the thing inside the parentheses as:

(5/2)*(2*x + 2*y) + y = 13

And we know that:

2*x + 2*z = 4

y = 3

then this can be written as:

(5/2)*(4) + 3 = 5*2 + 3 = 13

Then we can conclude that:

y = 3

2*z + 2*x = 4

2*(z + x) = 4

(z + x) = 4/2 = 2

x = 2 - z

Notice that the solution is not only a point, we have infinite solutions for this problem.

Answer:

\(d_{AB}\ne d_{JK}\)

\(d_{AB}\ne \:d_{GH}\)

\(d_{GH}\ne \:d_{JK}\)

Therefore,

Option (A) is false

Option (B) is false

Option (C) is false

Step-by-step explanation:

Considering the graph

Given the vertices of the segment AB

Finding the length of AB using the formula

\(d_{AB}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\)

        \(=\sqrt{\left(2-\left(-4\right)\right)^2+\left(5-4\right)^2}\)

         \(=\sqrt{\left(2+4\right)^2+\left(5-4\right)^2}\)

         \(=\sqrt{6^2+1}\)

         \(=\sqrt{36+1}\)

        \(=\sqrt{37}\)

\(d_{AB}\:=\sqrt{37}\)

\(d_{AB}=6.08\) units        

Given the vertices of the segment JK

From the graph, it is clear that the length of JK = 5 units

so

\(d_{JK}=5\) units

Given the vertices of the segment GH

Finding the length of GH using the formula

\(d_{GH}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\)

         \(=\sqrt{\left(-2-\left(-5\right)\right)^2+\left(-2-\left(-2\right)\right)^2}\)

          \(=\sqrt{\left(5-2\right)^2+\left(2-2\right)^2}\)

          \(=\sqrt{3^2+0}\)

           \(=\sqrt{3^2}\)

\(\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0\)

\(d_{GH}\:=\:3\) units

Thus, from the calculations, it is clear that:

\(d_{AB}=6.08\)  

\(d_{JK}=5\)

\(d_{GH}\:=\:3\)

Thus,

\(d_{AB}\ne d_{JK}\)

\(d_{AB}\ne \:d_{GH}\)

\(d_{GH}\ne \:d_{JK}\)

Therefore,

Option (A) is false

Option (B) is false

Option (C) is false

the sample standard deviation (s) is 4.

To compute the sample standard deviation (s) using the given information, we can use the formula for the z-score transformation:

Z = (X - M) / s

Rearranging the formula, we can solve for the sample standard deviation (s):

s = (X - M) / Z

Substituting the given values, we have:

X = 88

M = 80

Z = 2.00

s = (88 - 80) / 2.00

s = 8 / 2.00

s = 4

what is standard deviation?

Standard deviation is a measure of the dispersion or spread of a set of values in a dataset. It quantifies how much the individual data points deviate from the mean or average of the dataset.

Mathematically, the standard deviation (represented by the symbol σ for the population and s for a sample) is calculated by taking the square root of the variance. The variance is the average of the squared differences between each data point and the mean.

The formula for calculating the standard deviation of a sample is:

s = √(Σ(xᵢ - x(bar))² / (n - 1))

Where:

- xᵢ represents each individual data point in the sample

-  x(bar) represents the sample mean

- n is the sample size

The standard deviation provides valuable information about the variability and dispersion of the data points. A larger standard deviation indicates a wider spread of values, while a smaller standard deviation indicates that the data points are closer to the mean and less spread out.

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Answer:

Step-by-step explanation:

2) \(\overline{AD} \cong \overline{AD}\) (reflexive property)

3) \(\triangle ABD \cong \triangle ACD\) (AAS)

4) \(\angle BAD \cong \angle CAD\) (CPCTC)

5) \(\overline{AD}\) bisects \(\angle BAC\) (if a segment splits an angle into two congruent parts, it is an angle bisector)

Throughout my studies in media and current events, I have gained several major learnings that have shaped my understanding of the subject matter.

These include the importance of media literacy and critical thinking, the power and influence of social media, the role of bias in news reporting, the significance of ethical journalism, and the impact of media on shaping public opinion.

1. Media Literacy and Critical Thinking: One of the most crucial learnings is the importance of media literacy and critical thinking skills. It is essential to analyze and evaluate the information presented by media sources, considering their credibility, bias, and potential agenda. Developing these skills enables individuals to make informed judgments and avoid misinformation or manipulation.

2. Power and Influence of Social Media: Another significant learning is recognizing the power and influence of social media in shaping public opinion and disseminating news. Social media platforms have become prominent sources of information, but they also pose challenges such as the spread of fake news and echo chambers. Understanding the impact of social media is crucial for both media consumers and producers.

3. Role of Bias in News Reporting: Media bias is an important factor to consider when consuming news. I have learned that media outlets may have inherent biases, influenced by their ownership, political affiliations, or target audience. Recognizing these biases allows for a more balanced and critical understanding of news content, and encourages seeking diverse perspectives.

4. Significance of Ethical Journalism: Ethics play a fundamental role in responsible journalism. I have learned about the importance of principles such as accuracy, fairness, and accountability in reporting news. Ethical journalism promotes transparency and ensures the public's trust in the media, contributing to a well-informed society.

5. Impact of Media on Shaping Public Opinion: Lastly, I have learned that the media holds a significant role in shaping public opinion and influencing societal attitudes. Through various forms of media, such as news coverage, documentaries, or entertainment, narratives are constructed that can sway public perception on issues ranging from politics to social matters. Recognizing this influence is crucial for media consumers to engage critically with the information they receive and understand the potential impact it can have on society.

These five major learnings have provided me with a comprehensive understanding of media and current events, enabling me to navigate the vast landscape of information and make more informed judgments about the media I consume. They highlight the importance of media literacy, critical thinking, understanding bias, ethical journalism, and the impact media has on public opinion, ultimately contributing to a more well-rounded and discerning approach to media consumption.

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Answer:

8/18?

Step-by-step explanation:

Answer:

18/125

Step-by-step explanation:

Since we've reached a sequence of only zeros, the original sequence is graphical.
To sketch such a graph, label the vertices as A, B, C, D, E, and F with degrees 5, 5, 4, 3, 2, and 1 respectively. Then connect the vertices according to their degrees:
1. Connect A to B, C, D, E, and F.
2. Connect B to C, D, E, and F.
3. Connect C to D, E, and F.
4. Connect D to E.

Yes, the sequence (5, 5, 4, 3, 2, 1) is graphical. To show this, we can use the Havel-Hakimi algorithm:

1. Sort the sequence in non-increasing order: (5, 5, 4, 3, 2, 1)
2. Take the first element (5) and remove it from the sequence.
3. Subtract 1 from the next 5 elements (giving us (4, 4, 3, 2, 1))
4. Sort the resulting sequence (4, 4, 3, 2, 1) in non-increasing order
5. Repeat steps 2-4 until we have a sequence of all 0's or we encounter a negative number.

Using this algorithm, we can see that the sequence (5, 5, 4, 3, 2, 1) is graphical. The resulting graph can be sketched as follows:

- Start with two vertices (1 and 2) each with a degree 5
- Connect each of these vertices to a new vertex (3 and 4) with degree 4
- Connect vertex 3 to a new vertex (5) with degree 3
- Connect vertex 5 to a new vertex (6) with degree 2
- Connect vertex 6 to a new vertex (7) with degree 1

The resulting graph has a degree sequence (5, 5, 4, 3, 2, 1) and is shown below:

```
    1 --- 3
   /     /
  /     /
 2 --- 4
      |
      |
      5 --- 6 --- 7
```

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Based on the formula, we can say that the margin of error will be reduced if the sample size is increased.

To obtain the smallest margin of error with 99% confidence, a sample size of 1689 would be needed.

A margin of error refers to the degree of error that may arise due to chance when attempting to estimate a population parameter such as a mean. It is calculated as the product of a critical value, a standard deviation, and a confidence interval, then divided by the square root of the sample size.

N is the sample size, which refers to the number of items included in the sample from the population. A larger sample size would be beneficial since it lowers the margin of error. When the sample size rises, the standard error of the mean decreases, implying that we are more confident in our estimate of the population mean. A smaller margin of error is desirable since it results in a more precise estimate of the population parameter.

The formula for the margin of error is given by:

Margin of Error = (Critical Value) (Standard Deviation) / sqrt(N).

To obtain the smallest margin of error with 99% confidence, a sample size of 1689 would be needed. The formula for the sample size calculation for this scenario is:

N = [(Zα/2)σ / E]²

Where, Zα/2 = 2.58, σ is the standard deviation, and E is the margin of error.

Using Zα/2 = 2.58 for a 99% confidence interval and the smallest possible margin of error to obtain a sample size for which the margin of error is minimized, we have:

N = [(Zα/2)σ / E]² = [(2.58)σ / E]²

Since the goal is to minimize the margin of error, we use the smallest possible value for E:1.

Therefore, N = [(2.58)σ / 1]²2.

Solving for N:

N = 6.6564σ²

To obtain the smallest margin of error with 99% confidence, we must solve for the smallest possible value of N that satisfies the above equation. We obtain:

N = 6.6564σ²

We don't have any information about the standard deviation, σ, in the given question, so we can't solve for N.

However, based on the formula, we can say that the margin of error will be reduced if the sample size is increased.

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Answer:

58_7

51

then

in 23×7 minutes )

= 161 minutes.

To convert 0.610595703125 from base-10 to base-2, base-8, and base-16 using the multiplication method for pure fractions, the respective conversions are:

0.610595703125D = 0.100111000100110000001101B = 0.4631063O = 0.9E33H.

When converting a pure fraction from base-10 to another base using the multiplication method, we multiply the fraction by the desired base and separate the whole number and fractional parts. The whole number part becomes the new digit, and the fractional part is multiplied by the new base, repeating the process until the fractional part becomes zero or we achieve the desired precision.

For base-2 (binary):

Starting with the fraction 0.610595703125D, we multiply it by 2 to separate the whole number and fractional parts. The whole number part is 0, and the fractional part becomes 1.22119140625. We repeat the process by multiplying the fractional part by 2, yielding a whole number part of 1 and a new fractional part of 0.4423828125. We continue this process until the fractional part becomes zero or reaches the desired precision, resulting in 0.100111000100110000001101B.

For base-8 (octal):

Following a similar process, we multiply the initial fraction by 8. The whole number part becomes 0, and the new fractional part is 4.884765625. We repeat the multiplication by 8, obtaining a whole number part of 4 and a new fractional part of 6.197265625. Continuing this process leads to 0.4631063O.

For base-16 (hexadecimal):

By multiplying the initial fraction by 16, we find the whole number part is 9, and the new fractional part is 7.76953125. Repeating the multiplication by 16 yields a whole number part of 7 and a fractional part of 10.83203125. Continuing the process leads to 0.9E33H.

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Answer:

3y^2 and i don't know maybe it's right

Answer:

0.52

Step-by-step explanation:

The required Matlab code to find the greatest common divisor of a number using the Euclidean algorithm is shown.

To find the greatest common divisor (GCD) of two numbers using the Euclidean algorithm in MATLAB, you can use the following code:

% Replace '12345678' with your actual student number

studentNumber = '12345678';

% Extract the first 4 digits as the first number

firstNumber = str2double(studentNumber(1:4));

% Extract the last 3 digits as the second number

secondNumber = str2double(studentNumber(end-2:end));

% Find the GCD using the Euclidean algorithm

gcdValue = gcd(firstNumber, secondNumber);

% Display the result

disp(['The GCD of ' num2str(firstNumber) ' and ' num2str(secondNumber) ' is ' num2str(gcdValue) '.']);

Make sure to replace '12345678' with your actual student number. The code extracts the first 4 digits as the first number and the last 3 digits as the second number using string indexing. Then, the gcd function in MATLAB is used to calculate the GCD of the two numbers. Finally, the result is displayed using the disp function.

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Answer:

  x = 9

Step-by-step explanation:

You want the value of x that satisfies 6/40 = x/60.

This equation can be solved in one step: multiply by the inverse of the coefficient of x.

The coefficient of x is 1/60. Its inverse is 60/1 = 60. Multiplying the equation by 60 gives ...

  60(6/40) = 60(x/60)

  360/40 = x

  9 = x

__

Additional comment

Often, you will be advised to "cross multiply" as the first step in solving a proportion. Doing this would give you ...

  6(60) = 40(x)

Now, you would need to divide by the coefficient of x (or multiply by its inverse).

  6(60)/40 = (40x)/40

  360/40 = x = 9

This accomplishes in two steps what we did above in one step.

The money market account earns 8/4 = 2% interest per quarter.

In one year, there are 4 quarters.

so, the formula to calculate the balance after 8 years is:

A = P (1 + r/n)^(nt)

where A is the final balance, P is the principal (initial investment), r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years the money is invested for.

Substituting in the given values,

A = 1000 (1 + .02)^(4*8)

A = 1000 (1.02)^32

A = 1000 (1.8587)

A = 1858.7

So after 8 years, Ed will have earned $1858.7.

The required two numbers are 6 and 8.

Let us denote the required numbers by c and d.

Given that the difference between two natural numbers is 2.

If we assume d > c, then d – c = 2

⇒ d = 2 + c → equation 1.

Also given that the sum of their squares is 100.

⇒ c² + d² = 100

⇒ c² + (2 + c)² = 100 (using the value of d from equation 1)

⇒ 2c² + 4c + 4 = 100

⇒ 2c² + 4c = 96

⇒ 2c(c+2) = 96

⇒ c(c+2) = 48

Using the factorization for 48, we get 6 × 8 = 48

⇒ c = 6

⇒ c+2 = 8

⇒ d = 8

Therefore, the required two numbers are 6 and 8.

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Based on the illustration, The research hypothesis is directional hypothesis.

So, the correct answer is B

This prediction indicates a research hypothesis that is directional, as it suggests an expected outcome based on the type of keyboard used.

A directional hypothesis anticipates the direction of the effect, whereas a non-directional hypothesis simply predicts a difference without specifying the direction.

The null hypothesis, on the other hand, assumes no significant difference between the keyboards.

Therefore, in this case, the research hypothesis is a directional hypothesis

Hence the answer of the question is B.

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The original equation and the orthogonal equation are the same, we can conclude that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves.

To show that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves, we need to take the derivative of the equation and set it equal to -1/b^2, the slope of the orthogonal line.

First, we take the derivative of the equation with respect to x:

2x/a^2 = -2y/b^2 * dy/dx

Simplifying, we get:

dy/dx = -b^2*x/a^2*y

Now, we set this equal to -1/b^2:

-b^2*x/a^2*y = -1/b^2

Cross-multiplying and simplifying, we get:

x/a^2*y = 1/b^2

Finally, we can rearrange this equation to get:

y = b^2*x/a^2

This equation represents the orthogonal family of curves to the original family of conics. Since the original equation and the orthogonal equation are the same, we can conclude that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves.

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Answer:

b < 5

Step-by-step explanation:

subtract 2 from each side

Answer:

b < 5

Step-by-step explanation:

b + 2 < 7

    -2    -2

b < 7

Answer:

x = 7

Step-by-step explanation:

all triangles add up to 180

(90 from the right angle)

90 + (4x) + (5x +27) = 180

117 + 9x = 180

-117          - 117

9x = 63

x = 63/9

x = 7

Answer:

x = 7

Step-by-step explanation:

All triangles add up to 180, and (90 from the right angle)

90 + (4x) + (5x +27) = 180

117 + 9x = 180

-117          - 117

9x = 63

x = 63/9

Therefore, x = 7

Using differentials, the maximum error in the viscosity of a fluid moving through a tube can be estimated to be approximately 8.07e-3 Pa s given the tube's length, radius, pressure, and flow rate, along with their respective uncertainties.

We can use the formula for the differential of a function of several variables to estimate the maximum error in the viscosity η:

dη ≈ ∂η/∂r * dr + ∂η/∂p * dp + ∂η/∂v * dv

where ∂η/∂r, ∂η/∂p, and ∂η/∂v are the partial derivatives of η with respect to r, p, and v, respectively. We can calculate these partial derivatives as follows:

∂η/∂r = π/2 * p * r^3 / v

∂η/∂p = π/8 * r^4 / v

∂η/∂v = -π/8 * p * r^4 / v^2

Plugging in the given values and their uncertainties, we get:

dr = 0.00025 meters

dp = 2000 pascals

dv = 0.375e-9 m^3 per unit time

r = 0.003 meters

p = 2e5 pascals

v = 0.375e-9 m^3 per unit time

∂η/∂r ≈ (π/2) * (2.0e5) * (0.003)^3 / (0.375e-9) ≈ 3.84e-3 Pa s/m

∂η/∂p ≈ (π/8) * (0.003)^4 / (0.375e-9) ≈ 4.26e8 Pa s^2/m^4

∂η/∂v ≈ -(π/8) * (2.0e5) * (0.003)^4 / (0.375e-9)^2 ≈ -2.06e-21 Pa s^2/m^4

Now we can plug these values into the formula for dη:

dη ≈ (3.84e-3 * 0.00025) + (4.26e8 * 2000) + (-2.06e-21 * 0.375e-9)

≈ 8.07e-3 Pa s

Therefore, the maximum error in the viscosity η is approximately 8.07e-3 Pa s.

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Answer:

Option A

Step-by-step explanation:

to be perpendicular, the product of two slopes should be -1

the slope of the first equation is 1/5, so the slope should be -5

(1/5) (-5)= -1

y= -5x +b

Substitute (1,1) to solve for b,

b= 6

Thus, the equation is y= -5x +6

Let's assume Eric's height before summer is x cm. After summer, he became 5% taller, which means his new height is 1.05x cm. We also know that his new height is 151.2 cm. So we can set up an equation:

1.05x = 151.2

To solve for x, we can divide both sides by 1.05:

x = 151.2 / 1.05

x = 144 cm

Therefore, Eric's height before summer was 144 cm.

well, the tax is clearly $35.20 - $32 = $3.20.

now, if we take 32(origin amount) to be the 100%, what is 3.20 off of it in percentage?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 32 & 100\\ 3.20& x \end{array} \implies \cfrac{32}{3.20}~~=~~\cfrac{100}{x} \\\\\\ 32x=320\implies x=\cfrac{320}{32}\implies x=10\)

The television company has fixed costs of $401,000, indicating the expenses that do not vary with the number of TVs produced. Additionally, it costs $1200 to produce each TV, which can be considered as the variable cost per unit.

To determine the projection for the selling price (p) that would allow the company to break even or cover its costs, we need to consider the total cost and the number of TVs produced.

Let's assume the number of TVs produced is represented by 'x'. The total cost (TC) can be calculated as follows:

TC = Fixed Costs + (Variable Cost per Unit * Number of TVs Produced)

TC = $401,000 + ($1200 * x)

To break even, the total cost should equal the total revenue generated from selling the TVs. The total revenue (TR) can be calculated as:

TR = Selling Price per Unit * Number of TVs Produced

TR = p * x

Setting the total cost equal to the total revenue and solving for the selling price (p):

$401,000 + ($1200 * x) = p * x

From here, you can solve the equation for p by rearranging the terms and isolating p. This selling price (p) will allow the company to break even or cover its costs, given the fixed costs and variable costs per unit.

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Answer:

2.25x+1.25y\(\leq\)y

Step-by-step explanation:

Step one:

given data

the budget of y dollars

the coke cost $2.25 and

the tacos cost $1.25

Required:

the linear inequality based on the limited budget

Step two:

let the  number of coke be x

and the number of tacos be y

So the linear inequality is

2.25x+1.25y\(\leq\)y

Answer:

The answer is 2.25x+1.25yy

Step-by-step explanation:

Answer:

team loss after three games is 5.

Step-by-step explanation:

we will use positive sign for gain and negative sign for loss.

Given

Jim's team gained 7 yards on the first play

gain of yards = +7

lost 2 yards on the second play

loss of yards = -2

lost 10 yards on the third play

loss of yards = -10

Total yards gain or lost by Jim's team = +7 + (- 2) + ( - 10)

Total yards gain or lost by Jim's team = +7 -2 -10 = -5

sine sign is negative, it means there is loss and the net loss is 7 yards.

Thus, team loss after three games is 5.

Answer:

No solution!

Just turned it in <3