Write 98.75 as a mixed number.

Answer:

  (x, y) = (2, 1)

Step-by-step explanation:

Adding the two equations gives ...

  2y = 2

  y = 1 . . . . . divide by 2

Subtracting the second equation from the first gives ...

  0 = 6x -12

  0 = x -2 . . . . divide by 6

  2 = x

The solution is (x, y) = (2, 1).

__

The attached graph verifies this solution.

The area enclosed by the curve x = t^2 − 3t, y = √t and the y-axis is 2.08 square units.

We have been given parametric equations x = t^2 − 3t, y = √t

We need to find the area enclosed by the curve x = t^2 − 3t, y = √t and the y-axis.

Consider x = 0

So, t^2 − 3t =  0

t(t - 3) = 0

t = 0   or  t = 3

Let f(t) =  t^2 − 3t and g(t) = t

Differentiate the curve f(t) with respect to t.

f'(t) = 2t - 3

NWe know that the formula to find the area under the curve.

A = ∫[a to b] g(t)f'(t) dt

here, a = 0 and b = 3

so, A = ∫[0 to 3] √t (2t - 3) dt

A = ∫[0 to 3] (2t√t - 3√t) dt

A = ∫[0 to 3] (2t^(3/2) - 3t^(1/2)) dt

A = [4/5 t^(5/2) - 2 t^(3/2)]_[t = 0, t = 3]

A = 4/5 3^(5/2) - 2 3^(3/2) - 0 + 0

A = 4/5 3^(5/2) - 2 3^(3/2)

A = 6√3 /5

A = 2.08

Therefore,  the area of the curve is 2.08 square units.

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The probability of the total being equal to 8 is 1/9 or 11.11%.

To calculate this probability, we must first calculate all the possible combinations of two six-sided dice that add up to 8. Since both the dice are showing an even number, the possible combinations are (2, 6), (4, 4), and (6, 2). the total number of possible combinations for two six-sided dice is 36 (6 x 6). Therefore, the probability of the total being equal to 8 is 3/36 or 1/9 or 11.11%.

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Answer:

The weights of each cylinder and prism are 3 and 4 ounces, respectively.

Step-by-step explanation:

Let be \(x\) and \(y\) the masses of a cylinder and a prism, measured in ounces, respectively. After a careful reading of the statement we get the following linear equations by interpretation:

i) She found that 4 cylinders and 5 prisms weigh 32 ounces:

\(4\cdot x +5\cdot y = 32\,oz\) (Eq. 1)

ii) And that 1 cylinder and 8 prisms weigh 35 ounces:

\(x + 8\cdot y = 35\,oz\) (Eq. 2)

Now we solve the system of linear equations algebraically:

From (Eq. 2):

\(x = 35 - 8\cdot y\)

(Eq. 2) is (Eq. 1):

\(4\cdot (35-8\cdot y) + 5\cdot y = 32\)

\(140-32\cdot y +5\cdot y = 32\)

\(32\cdot y - 5\cdot y = 140-32\)

\(27\cdot y = 108\)

\(y = 4\,oz\)

From (Eq. 2):

\(x = 35 - 8\cdot (4)\)

\(x = 35 - 32\)

\(x = 3\,oz\)

The weights of each cylinder and prism are 3 and 4 ounces, respectively.

Answer: the same line

Step-by-step explanation:

Let us transform the equation:

\(\displaystyle\\y=\frac{4}{3} x+1\\\\\)

Multiply both parts of the equation by 3:

\(\displaystyle\\3y=\frac{4}{3}(3) x+1(3)\\\\3y=4x+3\\\\3y-4x=4x+3-4x\\\\3y-4x=3\)

Answer:2 and 5

Step-by-step explanation:

i don't know a lot but hope it helped

Answer: %16.6

Step-by-step explanation:

there is 6 numbers on a dice

Step-by-step explanation:

1/6

because probability comes between 0 to 1

so ans is:

0.6

The float value 3.14 can be represented as a literal in programming languages such as Python by using the notation "3.14".

This notation is used to directly express the decimal number with two decimal places. In programming, float literals are used to represent real numbers with fractional parts.

The "3.14" literal specifically represents the mathematical constant pi, which is commonly used in various mathematical and scientific calculations.

The use of the dot (.) as a decimal point signifies the separation between the integer and fractional parts of the number. This notation allows the float value 3.14 to be easily identified and used in computations or assignments within a programming context.

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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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With reference to X-linked recessive traits in human beings b. they express more in males than in females

Recessive traits that are linked to the X chromosome and are more common in men are known as X-linked recessive traits. In males, a single copy of the allele is enough to cause the disease because they have just one X chromosome, but in females, two copies of the allele are necessary to cause the disease because they have two X chromosomes.

Hemophilia and red-green color blindness are two common X-linked recessive conditions found in humans. The human X chromosome carries more than 1,000 genes, the majority of which are not associated with sex determination but have other critical functions in the body. The X chromosome has a high number of genetic disorders linked with it, but these disorders are not X-linked for the most part. As a result, the inheritance pattern for these diseases is not predictable.

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80.. of 0.4 games is 32 games

Answer:

-11.5

Step-by-step explanation:

28+ 79r  r= -1/2

28+ 79(-1/2) =

28 + -39.5 -11.5

Answer:

Same I'll help you all if you guys try to help me with my recent question.

Step-by-step explanation:

Answer:

a = 17

Step-by-step explanation:

1,734 = 6a^2

1,734/6 = 6a^2/6

\(\sqrt{289}\) = \(\sqrt{a^2}\)

a = 17

Answer:

side = 17 mm

Step-by-step explanation:

1734/6 = 289

√289 = 17 mm

The uncertainties ⟨Δx^2⟩ and ⟨Δp^2⟩ are given by the expressions ⟨Δx^2⟩ = a^2/2 and ⟨Δp^2⟩ = (ℏ^2)/(8a^2).

To calculate the uncertainties ⟨Δx^2⟩ and ⟨Δp^2⟩ for the given wave packet, we need to find the expectation values of the observables (x^ - ⟨x⟩)^2 and (p^ - ⟨p⟩)^2, respectively.

The wave packet is represented by the function ψ(x) = [2πa^2]^(1/2) exp[-4a^2(x - ⟨x⟩)^2 + iℏpx]. Here, a is a constant, ⟨x⟩ represents the expectation value of x, and p is the momentum operator.

To find ⟨Δx^2⟩, we calculate the expectation value of (x^ - ⟨x⟩)^2 with respect to ψ(x). By integrating (x - ⟨x⟩)^2 multiplied by the squared magnitude of the wave packet over all x values, we obtain the result ⟨Δx^2⟩ = a^2/2.

Similarly, to find ⟨Δp^2⟩, we calculate the expectation value of (p^ - ⟨p⟩)^2 with respect to ψ(x). Since p is the momentum operator, its expectation value is ⟨p⟩ = 0 for the given wave packet. By integrating (p^ - 0)^2 multiplied by the squared magnitude of the wave packet over all x values, we obtain the result ⟨Δp^2⟩ = (ℏ^2)/(8a^2).

Therefore, the uncertainties ⟨Δx^2⟩ and ⟨Δp^2⟩ are given by the expressions ⟨Δx^2⟩ = a^2/2 and ⟨Δp^2⟩ = (ℏ^2)/(8a^2).

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Let \(\(a\)\) and \(\(b\)\) be integers such that \(\(ab = 4\)\). We want to prove that \(\((a - b)^3 - 9(a - b) = 0\).\)

Starting with the left side of the equation, we have:

\(\((a - b)^3 - 9(a - b)\)\)

Using the identity \(\((x - y)^3 = x^3 - 3x^2y + 3xy^2 - y^3\)\), we can expand the cube of the binomial \((a - b)\):

\(\(a^3 - 3a^2b + 3ab^2 - b^3 - 9(a - b)\)\)

Rearranging the terms, we have:

\(\(a^3 - b^3 - 3a^2b + 3ab^2 - 9a + 9b\)\)

Since \(\(ab = 4\)\), we can substitute \(\(4\)\) for \(\(ab\)\) in the equation:

\(\(a^3 - b^3 - 3a^2(4) + 3a(4^2) - 9a + 9b\)\)

Simplifying further, we get:

\(\(a^3 - b^3 - 12a^2 + 48a - 9a + 9b\)\)

Now, notice that \(\(a^3 - b^3\)\) can be factored as \(\((a - b)(a^2 + ab + b^2)\):\)

\(\((a - b)(a^2 + ab + b^2) - 12a^2 + 48a - 9a + 9b\)\)

Since \(\(ab = 4\)\), we can substitute \(\(4\)\) for \(\(ab\)\) in the equation:

\(\((a - b)(a^2 + 4 + b^2) - 12a^2 + 48a - 9a + 9b\)\)

Simplifying further, we get:

\(\((a - b)(a^2 + 4 + b^2) - 12a^2 + 39a + 9b\)\)

Now, we can observe that \(\(a^2 + 4 + b^2\)\) is always greater than or equal to \(\(0\)\) since it involves the sum of squares, which is non-negative.

Therefore, \(\((a - b)(a^2 + 4 + b^2) - 12a^2 + 39a + 9b\)\) will be equal to \(\(0\)\) if and only if \(\(a - b = 0\)\) since the expression \(\((a - b)(a^2 + 4 + b^2)\)\) will be equal to \(\(0\)\) only when \(\(a - b = 0\).\)

Hence, we have proved that if \(\(ab = 4\)\), then \(\((a - b)^3 - 9(a - b) = 0\).\)

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Using a system of equations, it is found that a small box of tangerines costs $10 and a large box costs $14.

In this problem, the variables are:

Krystal sold 7 small boxes of tangerines and 14 large boxes of tangerines for a total of $266, hence:

\(7x + 14y = 266\)

Simplifying by 7:

\(x + 2y = 38\)

\(x = 38 - 2y\)

Mary sold 14 small boxes of tangerines and 3 large boxes of tangerines for a total of $182, hence:

\(14x + 3y = 182\)

Since \(x = 38 - 2y\):

\(14(38 - 2y) + 3y = 182\)

\(25y = 350\)

\(y = \frac{350}{25}\)

\(y = 14\)

Then

\(x = 38 - 2y = 38 - 2(14) = 10\)

A small box of tangerines costs $10 and a large box costs $14.

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the equation for line will be y = (5/4)x + 13.

What is the slope of line?

Determine the slope of the line using the slope formula given two line-side coordinates. The formula m=(y2-y1)/ describes the slope as the proportion of the change in y values to the change in x values (x2-x1). The coordinates of the first point represent x1 and y1 respectively. At x2, y2, and their respective locations are the second points. It doesn't matter which point you choose to rank as the first and which as the second.

Knowing that formula two, which is used to determine the slope of a line connecting two points, is

The line passes through (-4, 8) so,

8 = (5/4)(-4) + c

8 = -5 + c

c = 13

c = 13

The equation of a line is y = (5/4)x + 13

Hence the equation for line will be y = (5/4)x + 13.

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Answer:

you want to follow PEMDAS so you would multiply 27 by 1/3 to get 81.003, which you would round to 81, then you would multiply 8 to the third power and you would get 512.

Step-by-step explanation:

27(1/3)^3

81^3

512

Answer:

l think that the answer is 91 degrees because they are corresponding angles , that is what I think.

Based on the information provided, we know that Andrew planted 36 flowers in a rectangular-shaped garden. However, we do not have any information on how the flowers are planted.

They could be arranged in rows or columns, in a pattern, or randomly scattered throughout the garden. Without further information, it is impossible to determine how the flowers are planted.

Andrew planted 36 flowers in a rectangular-shaped garden. The flowers are likely arranged in a grid pattern with equal rows and columns. Since 36 can be factored into 6x6 or 4x9, there are two possible arrangements: either 6 rows of 6 flowers or 4 rows of 9 flowers.

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Answer:

Step-by-step explanation:

The other root is 5 + 7i

Answer:

7.69% increase

Step-by-step explanation:

Let our initial number be 100

11% decrease will be;

100- 0.11(100) = 100-11 = 89

A 21% increase will be;

89 + 21% of 89

89 + 0.21(89)

= 107.69

difference from the starting is 107.69 - 100 = 7.69

The percentage is 7.69% increase

muchas gracias me ayudas te

The cases in the realtor's dataset would be the individual homes listed for sale on the website. Each case represents a specific home and its corresponding information, including the list price, school district, size, and style.

a. List price: quantitative (continuous) - This variable represents the numerical value of the amount, in thousands of dollars, for which the house is being sold. It is a quantitative variable because it can take on a range of numerical values.

b. School District: categorical - This variable represents the school district in which the home is located. It is categorical because it represents different categories or groups (school districts) rather than numerical values.

c. Size: quantitative (continuous) - This variable represents the size of the home in square feet. It is a quantitative variable because it can take on numerical values and can be measured on a continuous scale.

d. Style: categorical - This variable represents the style of the home, such as ranch, Cape Cod, Victorian, etc. It is categorical because it represents different categories or groups (home styles) rather than numerical values.

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Answer: -3x + 6

Step-by-step explanation:

Multiply using the disturbutive property.

Answer:

-3x + 6

Step-by-step explanation:

-3x - 3x (-2)

multiply it

-3x+6

The single-variable equation she solves after substituting is 3x−(−4x+2)=9

They are expressions separated by an equal sign.

Given the system of equations:

To get the required single-variable equation, we will substitute equation 1 into 2 to have:

3x - y = 9

3x - (-4x + 2) = 9

Expand

3x + 4x - 2 = 9

7x = 9 + 2

7x - 11 = 0

Hence the single-variable equation she solves after substituting is 3x−(−4x+2)=9

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Answer: ^^^ that person is correct

the answer is "3x−(−4x+2)=9"

Step-by-step explanation: