Solve the inequality.
Graph the solution on a number line.

The statement that best describes "willing suspension of disbelief" is: A dynamic in which the audience agrees to accept the fictional world of the play on an imaginative level while knowing it to be untrue.

The concept of "willing suspension of disbelief" is an essential element in experiencing and appreciating works of fiction, particularly in theater, literature, and film. It refers to the voluntary act of temporarily setting aside one's skepticism or disbelief in order to engage with the fictional narrative or performance. It involves consciously accepting the imaginative world presented by the creator, even though it may contain unrealistic or fantastical elements. By willingly suspending disbelief, the audience allows themselves to become emotionally invested in the story and characters, making the experience more enjoyable and meaningful. This dynamic acknowledges the inherent fictional nature of the work while acknowledging that the audience is aware of its fictional status. It creates a mutual understanding between the audience and the creators, enabling the audience to fully immerse themselves in the narrative and connect with the intended emotions and themes of the work.

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Answer:

(5,-6) and (-5,-6) is the correct answer

Step-by-step explanation:

Eliminate incorrect answers

(-2,8)and (2,-8) are in the opposite direction not mirroring each other

(-7,-1) and (-7,1) are on the same x axis but to close to the y axis not mirroring

(4,-3) and (-3,4) is completely off and not mirroring

* Remember the first number in the parentheses moved on the x axis then the y

Hope this helps =)

plz mark Brainly

Answer:

(a) To find the missing angle, we would do inverse tan.

\(angle =tan^{-1}\frac{opp}{adj}\)

\(angle = tan^{-1}\frac{17}{21}\)

angle= 39.0 degrees or 0.7 radians

(b) To find the missing angle, we would do inverse sin.

\(angle= sin^{-1}\frac{opp}{hyp}\)

\(angle= sin^{-1}\frac{12.7}{22.1}\)

angle= 35.1 degrees or 0.6 radians

Answer:

D. y = { -x + 2 x ≥ 1}

          { x + 1  x < 1}

Step-by-step explanation:

First is to eliminate A and C, why?

This is because of the end points shown on the graph.

As shown, if you look at the point of (2,1) it is black, this means that not only is it closed but it is also means ≤ or ≥ symbol.

You are now left with B and D

The difference between these two is the symbols; they are facing the opposite directions.

While B says x ≤ 1, and x > 1

While D says x ≥ 1, and x < 1

The direction of the symbols depends on the direction of the lines and what is part of it (some what like a shaded area)

So you answer would be D

Answer:

length =105 width =10

Step-by-step explanation:

L=10*W+5

P=230

P=2(L+W)

230=2(10W+5+W)

SOLVE FOR W

W=10

L=10*W+5

=10*10+5

L=105

Answer:

3/4

Step-by-step explanation:

Slope formula

Answer:

4/3

Step-by-step explanation:

Answer: 11:15 AM?

Step-by-step explanation: I’m not so sure though, usual programs are 30 minutes long, so this is just a guess. If not I’m sorry.

Answer:

Step-by-step explanation:

Here a = 8, b = 4 and c = -2.  The discriminant here is b^2 - 4ac, which, when the above coefficients are substituted, results in:

discriminant = (4)^2 - 4(8)(-2), or 16 + 64, or 80.

The solutions are:

      -(4) ± √80         -4 ± 4√5        4(-1 ±√5)        -1 ± √5

n = ------------------ = ----------------- = --------------- = --------------

            2(8)                    16                 4^2                  4

2 + 3x

= 5

Have a Nice day

Two samples can have the same mean but different standard deviations due to the spread of data around the mean. Standard deviation is a measure of how much the data values differ from the mean. The greater the deviation of the data points from the mean, the greater the standard deviation.

Two samples can have the same mean but different standard deviations because standard deviation is a measure of the spread of data around the mean. If the data values are tightly clustered around the mean, the standard deviation will be small. If the data values are spread out around the mean, the standard deviation will be large. Therefore, two samples can have the same mean but different standard deviations because the spread of data around the mean can be different for each sample.

Two samples can have the same mean but different standard deviations because the spread of data around the mean can be different for each sample. For example, consider two samples of test scores. Sample A has a mean score of 80 and a standard deviation of 5. Sample B has a mean score of 80 and a standard deviation of 10. The scores in Sample B have more variability than the scores in Sample A.In a bar graph, the means of the two samples can be represented by two bars with the same height. The standard deviations of the two samples can be represented by error bars on each bar. The error bars show the variability of the data in each sample. The length of the error bars for Sample B would be longer than the length of the error bars for Sample A.

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Answer:

2

Step-by-step explanation:

2x+2=?x+13

Let x=2

2x+2=2x+13

Subtract 2x from each side

2 =13

This is never true so there is no solution

Answer:

7π + 7π + 196 ( could also be 14π + 196)

Step-by-step explanation:

14 is the length of the square. However it is also the diameter of the circle.

If you do diameter x π you will get the circumfrance. Which in this case is 14π. If your trying to find half of the circumfrance you would do 14π ÷ 2 which is 7π.

After finding 7π for one half a circle you do the same for the other and also get 7π

After finding the 2 half circles find the square which is 14 x 14 = 196

196 + 7π + 7π if you don't want bother pi's there it could also be seen as 196+ 14 π

The probability that the proportion of the 30 Americans sampled that agree climate change is an immediate threat to humanity exceeds 35% is approximately 82.38%.

Assuming the sample of 30 Americans is representative of the population, we can calculate the sample proportion as the number of individuals in the sample who agree divided by the total sample size. Let's assume that the sample proportion is p'.

To calculate the probability of the proportion exceeding 35%, we need to find the z-score of the value 0.35 using the formula:

z = (p' - p) / √[p * (1 - p) / n]

where p is the population proportion (which we don't know), and n is the sample size (30 in this case). We can use p' as an estimate of p.

Once we find the z-score, we can use a standard normal distribution table or a calculator to find the probability that the z-score is greater than the value we calculated. This probability is the probability that the proportion of Americans who agree that climate change is an immediate threat to humanity exceeds 35%.

For example, if p' = 0.4, then the z-score is:

z = (0.4 - 0.35) /√ [0.35 * (1 - 0.35) / 30] = 1.03

Using a standard normal distribution table, we can find that the probability of a z-score being greater than 1.03 is approximately 0.8238, or about 82.38%.

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sin2x = 12/13, cos2x = 5/13, and tan2x = 4/5.

Explanation:

Given sinx = 2/√13 and x is in the first quadrant, we can determine the values of sin2x, cos2x, and tan2x as follows;

First, let us determine the value of cosx since we need it to determine sin2x.cosx = √(1 - sin²x)  = √(1 - (2/√13)²) = √(1 - 4/13) = √9/13 = 3/√13

Therefore,cosx = 3/√13

We can then use the values of sinx and cosx to determine sin2x, cos2x, and tan2x

sin2x = 2sinxcosx = 2(2/√13)(3/√13) = 12/13

cos2x = cos²x - sin²x= (3/√13)² - (2/√13)² = 9/13 - 4/13 = 5/13

tan2x = (2tanx)/(1 - tan²x) = 2(2/3)/(1 - (2/3)²) = 4/5

Therefore, sin2x = 12/13, cos2x = 5/13, and tan2x = 4/5.

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Analysts use financial ratios rather than absolute numbers because ratios provide a more meaningful and comparative assessment of a company's financial performance.

Ratios allow for a standardized comparison between companies of different sizes and industries, facilitating a better understanding of their financial health, operational efficiency, and profitability.

Furthermore, ratios enable analysts to evaluate a company's performance over time and benchmark it against industry averages and competitors. Some examples of commonly used financial ratios include the current ratio, return on equity (ROE), and earnings per share (EPS).

Current Ratio: The current ratio measures a company's ability to meet its short-term obligations. It is calculated by dividing current assets by current liabilities. For example, if a company has current assets of $500,000 and current liabilities of $250,000, the current ratio would be 2 ($500,000 / $250,000). A higher current ratio indicates a stronger liquidity position, suggesting the company is better equipped to meet its short-term financial obligations.

Return on Equity (ROE): ROE measures a company's profitability relative to its shareholders' equity. It is calculated by dividing net income by average shareholders' equity and multiplying by 100 to express it as a percentage. For instance, if a company has a net income of $1 million and average shareholders' equity of $10 million, the ROE would be 10% ($1 million / $10 million * 100). A higher ROE signifies better profitability and efficient utilization of shareholders' capital.

Earnings per Share (EPS): EPS indicates the profitability of a company on a per-share basis. It is calculated by dividing net income attributable to common shareholders by the weighted average number of outstanding shares. For example, if a company has a net income of $5 million and 10 million weighted average shares outstanding, the EPS would be $0.50 ($5 million / 10 million). A higher EPS implies higher profitability for each share held by investors.

Financial ratios provide valuable insights into a company's financial performance and facilitate better comparisons and analysis. Absolute numbers alone may not convey the same level of meaningful information or allow for easy comparisons between companies. Ratios allow analysts to assess a company's financial health, profitability, liquidity, efficiency, and other key aspects relative to industry peers and historical performance.

They help identify trends, strengths, weaknesses, and potential investment opportunities or risks. While absolute numbers provide essential context, ratios offer a standardized framework for evaluation and decision-making, making them a preferred tool for financial analysis.

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Answer:

y =   35°

z =  90°

Step-by-step explanation:

the angle labeled as 35° and the angle labeled as 'y' are alternate-interior angles and are congruent

therefore, y = 35°

the third angle of the triangle on the left is 180-(90+35) = 55

therefore, this angle is vertical with the angle opposite it which is also 55°

to find 'z', you can add the two known angles of 55 and 35 and subtract the sum from 180 to get 90°

Answer:

the Answer is c I just had the same problem

The value of the expression +, can be determined by performing matrix addition on the given matrices and then evaluating the resulting expression. Let's proceed with the calculations: Given matrices:

A = [[1, 2, 0], [3, 2 + c, -1], [2, 2 + c, 2 + c]]

B = [[0, 2 + c, -3], [3, c, -1], [0, 3, -1]]

Performing matrix addition on A and B, we add the corresponding elements:

A + B = [[1 + 0, 2 + (2 + c), 0 + (-3)],

[3 + 3, (2 + c) + c, -1 + (-1)],

[2 + 0, (2 + c) + 3, (2 + c) + (-1)]]

Simplifying further, we get:A + B = [[1, 4 + c, -3],

[6, 2 + 2c, -2],

[2, 5 + c, 1 + c]

Therefore, the value of + is equal to the matrix [[1, 4 + c, -3], [6, 2 + 2c, -2], [2, 5 + c, 1 + c]].

We can store this value in the string FG_sum using valid Python code formatting as follows:

FG_sum = "[[1, 4 + c, -3], [6, 2 + 2 * c, -2], [2, 5 + c, 1 + c]]"

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Answer:

Chord 12 cm long subtends an angle of 40 degrees at the center of a circle.

θ= 40° = 0.698 rad

Let R be the radius of circle.

Chord Length = 2Rsin(θ/2)

12=2R sin (0.698 /2)

R= 17.54

Ans: Radius of circle = 17.54 cm

Answer: 4ab2 - 3a + 13b

Step-by-step explanation:  (a•(b2))+13b)-4a)+(3ab2+a)

Factoring    4ab2 - 3a + 13b

Answer:

Step-by-step explanation:

Because angles SQR and RQT are central angles, they are congruent to the arcs they intercept. This means that arc SR = 101 and arc RT = 118, making the whole major arc SRT = 219. That means that the minor arc, ST is 360 - 219 which is 141. We are looking in particular for the measure of angle SRT. It just so happens that angle SRT is an inscribed angle, so by definition it is one-half the measure of the arc it intercepts. It intercepts arc ST which we found measures 141, so angle SRT is 141/2 = 70.5

The complete table for the function g(x) =  1/(x + 4) is

X       g(x)

-8     -1/4

-6     -1/2

-4     Not defined

-2     1/2

0      1/4

2      1/6

4      1/8

6     1/10

8      1/12

The table is completed by substituting each value of x to g(x) and solving for g(x)

X      g(x) = 1/(x + 4)

-8     1/(-8 + 4) = -1/4

-6     1/(-6 + 4) = -1/2

-4   Not defined (division by zero)

-2    1/(-2 + 4) = 1/2

0      1/(0 + 4) = 1/4

2       1/(2 + 4) = 1/6

4      1/(4 + 4) = 1/8

6      1/(6 + 4) = 1/10

8      1/(8 + 4) = 1/12

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It is a rectangular region with u and v values ranging from 1 to 2.

To find the Jacobian of the transformation x = 3u, y = 2uv, we need to compute the partial derivatives ∂x/∂u, ∂x/∂v, ∂y/∂u, and ∂y/∂v.

Given:

x = 3u

y = 2uv

Calculating the partial derivatives:

∂x/∂u = 3

∂x/∂v = 0 (since x does not depend on v)

∂y/∂u = 2v

∂y/∂v = 2u

Now, we can construct the Jacobian matrix J:

J = [∂x/∂u   ∂x/∂v]

   [∂y/∂u   ∂y/∂v]

Substituting the partial derivatives we calculated earlier:

J = [3   0]

   [2v  2u]

Therefore, the Jacobian of the transformation is:

J = [3   0]

   [2v  2u]

To sketch the region described by the inequalities g: 3 < 3u < 6, 2 < 2uv < 4, we can consider the ranges of u and v that satisfy these conditions.

From the inequality 3 < 3u < 6, we have:

1 < u < 2

From the inequality 2 < 2uv < 4, we can divide both sides by 2:

1 < uv < 2

Since u and v must both be greater than 1, we can determine the range of v:

1 < v < 2

Now, we can sketch the region in the u-v plane bounded by the conditions:

1 < u < 2

1 < v < 2

It is a rectangular region with u and v values ranging from 1 to 2.

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Answer:

D or the Last one

Step-by-step explanation:

because the equation equals that and it is a perfect square method because the middle term is not canceled out. Hope this helps!

Chen's condition does not take into consideration the impact of gravity on the ball's height, so the calculation of the ball's height at any point in time is incorrect. 

Based on the information given, Chen used the following formula to determine the height of the ball.

\(h(t) = -16t^2 + vt + h0\)

where h(t)= height of the ball at time t, v = initial velocity (16 feet/second), and h0 = initial height (6 feet).

However, Chen's equation is flawed. The sign of acceleration due to gravity being a constant factor of \(-32 ft/s^2\) is wrong. The correct formula is:

\(h(t) = -16t^2 + vt + h0 - (1/2)gt^2\)

where g is the acceleration due to gravity \((-32 ft/s^2).\)

hence, Chen's condition does not take into consideration the impact of gravity on the ball's height, so the calculation of the ball's height at any point in time is incorrect. 

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Answer:

Step-by-step explanation:

Answer:

the answer is 45

Step-by-step explanation:

(180/4)=45

Solving a system of equations we can see that each pair of pants costs €82.94 and each coat costs €26.37

Let's define the variables:

x = cost of a pant

y = cost of a coat.

First, we know that:

3x + 2y = 245

And then there are discounts of 20% and 5%, and the cost of one of each is 100.75, then:

0.8x + 0.95y = 100.75

Then we have a system of equations:

3x + 2y = 245

0.8x + 0.95y = 100.75

We can isolate x on the second equation to get:

x = (100.75 - 0.96y)/0.8

x = 125.9 - 1.2y

Replace that in the other equation:

3*(125.9 - 1.2y) + 2y = 245

Solving for y:

3*125.9 - 3*1.2y + 2y = 245

y*(2 - 3*1.2) = 245 - 3*125.9

y = (245 - 3*125.9)/(2 - 3*1.2)

y = 82.94

Then the value of x is:

x = 125.9 - 1.2*82.94

x = 26.37

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Answer:

f = 1

Step-by-step explanation:

-9 + 8f = -6 + 5f

move variables

-9 + 6 = -3

-3 + 8f = 5f

5f - 8f = -3f

-3 = -3f

divide by -3

f = 1