Which expression is equivalent to 18-(8* q) ? .
A (8q) - 18
B (18 - q) * 8
C (18 - 8) * c
D 18 - (0 * 8)

( − 2 ) ( 3+ 2 2 − − 2 )

Hope this helps, have a great day!

The arc length of a curve is calculated by integrating the length of infinitesimal line segments that make up the curve.

What is arc length?

Arc length is the distance along a curved line or path between two points on that curve. In other words, it is the length of the curve measured along its shape. The arc length of a curve is usually represented by the symbol "s".

To calculate the arc length of a curve, follow these steps:

Determine the function that describes the curve you want to find the arc length of.

Calculate the derivative of the function. This gives you the slope of the tangent line at any point on the curve.

Find the magnitude of the derivative by squaring it and adding it to one. This gives you the square of the length of the tangent line.

Integrate the square root of the magnitude of the derivative with respect to the variable of integration (usually x or y, depending on the curve).

Evaluate the integral from the lower bound to the upper bound of the curve to obtain the arc length.

The formula for arc length is:

L = ∫[a,b] \(\sqrt{(1 + [f'(x)]^2) }\)dx

where L is the arc length, a and b are the limits of integration, f(x) is the equation of the curve, and f'(x) is the derivative of the curve with respect to x.

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Multiple regression analysis is applied when analyzing the relationship between one dependent variable and two or more independent variables. The goal is to determine the extent to which the independent variables predict the dependent variable.

Multiple regression analysis is a statistical technique used to explore and quantify the relationship between a dependent variable and multiple independent variables. It allows researchers to examine how changes in one or more independent variables impact the dependent variable, while controlling for the effects of other variables. By estimating the coefficients for each independent variable, the analysis provides insights into the strength, direction, and significance of their relationships with the dependent variable. This method is commonly employed in various fields, such as economics, social sciences, and business, to understand complex relationships and make predictions based on the interplay of multiple factors.

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Answer:

$60

Step-by-step explanation:

180/3 = 60

I hope this helps :)

Answer:60 per hour

Step-by-step explanation: you divide 180 by 3

The equation of the line that passes through the given point ( 6, 1) and has slope equal to -3 is given by y = -3x + 1 9.

As given in the question,

Let us consider the equation of the line passes through the point           (x₁ , y₁ ) = ( 6, 1 )

Slope of the line 'm' is equal to - 3.

Equation of the line passing the point (x₁ , y₁ ) and slope 'm' is given by :

( y - y₁ ) = m ( x - x₁ )

⇒ ( y - 1 ) = -3 ( x - 6 )

⇒  y - 1 = -3x + 18

⇒ y = -3x + 18 + 1

⇒ y = -3x + 19

Therefore, equation of the line passes through point ( 6, 1 ) and slope -3 is equal to y = -3x + 19.

The complete question is :

Write an equation of the line that passes through point (6, 1) and has the slope m=−3.

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Answer: perimeter= 2m+22 units

Step-by-step explanation:

length= 2m+1

width= 10-m

p=2(l+b)= 2(2m+1+10-m)

p=2(m+11)

p=2m+22 units

One effect of glasnost was that A) governments in Eastern Europe introduced reforms.

The correct response is A) governments in Eastern Europe introduced reforms.

Glasnost, meaning "openness" in Russian, was a policy introduced in the Soviet Union by Soviet leader Mikhail Gorbachev in the 1980s. It aimed to promote transparency, political openness, and freedom of expression. While Glasnost primarily affected the Soviet Union, its impact also extended to Eastern European countries under Soviet influence.

As a result of Glasnost, governments in Eastern Europe began introducing reforms. The policy led to a loosening of restrictions on freedom of speech, press, and political dissent. It created an atmosphere of increased openness and public discussion, which facilitated demands for political and social change.

In countries such as Poland, Hungary, Czechoslovakia, and East Germany, the push for reform gained momentum. Popular movements and protests emerged, advocating for greater political rights, democracy, and economic reforms. This eventually led to significant political transformations, including the fall of communist governments in some Eastern European countries.

Therefore, the effect of Glasnost was that governments in Eastern Europe introduced reforms, marking a shift away from the rigid communist system and towards more democratic and open societies.

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Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Mean width of fabric = 23 millimeters

Standard deviation = 0.06 millimeters

The mean width of fabric specified a ove represents the average length of the width of all fabrics being produced in the factory. The mean width could have been obtained by taking the average of the width length of all fabrics produced in the factory. This means that not all fabrics have a width of 23 millimeters but the average width length of all fabrics produced is 23 millimeters.

Since all fabrics do not have the same width length, the standard deviation helps us determine how dispersed or spread out the different widths of fabrics are from the mean value. With a low standard deviation value of 0.06 millimeters, it shows that the various widths of fabric are closer to mean value.

Answer:

45.88%

Step-by-step explanation:

We have in this case a binomial distribution when p = 0.25, since the probability is 25%

. The formula that we will use in excel is BINOM.DIST, separated by commas we must put the value of x, n, p and also if it is true or false. We know that n equals 32.

In this case we need to know when x = 7, 8 and 9 and add this, and thus we will obtain the probability:

P (X = 7) + P (X = 8) + P (X = 9)

Excel formulas: = BINOM.DIST (7,32,0.25, FALSE) + BINOM.DIST (8,32,0.25, FALSE) + BINOM.DIST (9,32,0.25, FALSE)

P = 0.1546 + 0.1610 + 0.1431

P = 0.4588

Probability that steve agrees with the company's claim 45.88%

The solution set for each case are:

1) (-∞, ∞)

2) [-1, 1]

3)  (-∞, 0]

4)  {∅}

5)  {∅}

6) [0, ∞)

The first inequality is:

1) |x| > -1

Remember that the absolute value is always positive, so the solution set here is the set of all real numbers (-∞, ∞)

2) Here we have:

0 ≤ |x|≤ 1

The solution set will be the set of all values of x with an absolute value between 0 and 1, so the solution set is:

[-1, 1]

3) |x| = -x

Remember that |x| is equal to -x when the argument is 0 or negative, so the solution set is (-∞, 0]

4) |x| = -1

This equation has no solution, so we have an empty set {∅}

5) |x| ≤ 0

Again, no solutions here, so an empty set {∅}

6) Finally, |x| = x

This is true when x is zero or positive, so the solution set is:

[0, ∞)

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Answer:

D) \(1 < x\leq 4\)

Step-by-step explanation:

1 is not included, but 4 is included, so we can say \(1 < x\leq 4\)

√89 is the distance between the two points in simplest radical form.

What Is Distance?

Distance is the overall movement of an object without consideration of direction. Regardless of the starting or ending point, distance can be defined as the amount of space an object has covered. Displacement, on the other hand, is simply the distance between the object's starting point and its final location. Distance is the length of the path an object travels.

Distance between the two points (x₁,y₁) and (x₂, y₂ ) is given by the expression,

   Distance = √(x₂ - x1)² + (y₂ - y₁)²

 Distance between two points (-1, 9) and (8, 6) will be,

Distance = √( 8- (-1))² + ( 6 - 9 )²

            = √81 + 9

            = √89

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Answer: 155

35+90=125

180-125=55

55+60=115

180-115=65

65+90=155

x=155

Answer:

See below

Step-by-step explanation:

The partial derivative of z with respect to x is cos(6x^3y−7xy^3) * (18x^2y - 7y^3) and the partial derivative of z with respect to y is cos(6x^3y−7xy^3)×(6x^3 - 21xy^2).

To find the partial derivative of the function z with respect to x, we treat y as a constant and differentiate sin(6x^3y−7xy^3) with respect to x. Using the chain rule, we get:

∂z/∂x = cos(6x^3y−7xy^3) × (18x^2y - 7y^3)

To find the partial derivative of the function z with respect to y, we treat x as a constant and differentiate sin(6x^3y−7xy^3) with respect to y. Using the chain rule, we get:

∂z/∂y = cos(6x^3y−7xy^3) × (6x^3 - 21xy^2)

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Step-by-step explanation:

Using it's concept, it is found that the inequality represents the domain of the exponential piece is:

d) \(x \leq -2\).

The domain of a function is the set that contains all possible input values.

Researching this problem on the internet, we have that the function is divided as follows:

Hence, for the domain of the exponential piece, option d is correct.

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The forecasted demand for Samsung TVs at X-store for the 4th year using seasonality indexing are as follows:

A seasonal index is a tool that compares a specific season during a cycle to the average season during that cycle. By deseasonalizing data, we can predict or approximate future data values by removing seasonal fluctuations or patterns in the data.

To use seasonality indexing to forecast the values of the 4th year, we first need to calculate the average indices for each season:

Average index for Spring:

= (1500 + 1650 + 1550) / 3

= 1567

Average index for Summer:

= (1000 + 900 + 850) / 3

= 917

Average index for Fall:

= (500 + 600 + 550) / 3

= 550

Average index for Winter:

= (200 + 150 + 220) / 3

= 190

Next, we need to calculate the seasonality index for each season by dividing the average index by 100:

Seasonality index for Spring = 1567 / 100 = 15.67

Seasonality index for Summer = 917 / 100 = 9.17

Seasonality index for Fall = 550 / 100 = 5.50

Seasonality index for Winter = 190 / 100 = 1.90

To forecast the demand for the 4th year, we can use the following formula "Seasonality index x Average demand for the season".

For Spring, the Forecasted demand for Spring in year 4:

= 15.67 x (3710/4)

= 5800.175

≈ 5800 TVs

For Summer, the Forecasted demand for Summer in year 4:

= 9.17 x (3710/4)

= 3372.925

≈ 3373 TVs

For Fall, the Forecasted demand for Fall in year 4:

= 5.50 x (3710/4)

= 2031.25

≈ 2031 TVs

For Winter, the Forecasted demand for Winter in year 4:

= 1.90 x (3710/4)

= 692.75

≈ 693 TVs

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The Number system from least to greatest of the given number 8.116, 8.119, 8.18, 8.03, 8.14, 8.1 is 8.03 ,  8.1,  8.116, 8.119, 8.14, 8.11.

We were given the number 8.116, 8.119, 8.18, 8.03, 8.14, 8.1 so that we can arrange them from the smallest number to the highest number.

The first number will be 8.03 , then follow by 8.1, the after that we can see that the next number will be 8.116, which will be followed by the number 8.14, then this will be followed by 8.119 then followed by the number 8.18.

Therefore, the arrangement will be  8.03 ,  8.1,  8.116, 8.119, 8.14, 8.11.

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The measure of center should be used is Mean, because Sunny Town is symmetric.

When comparing the data to determine which location typically has the cooler temperature, the measure of center that should be used is the mean. The mean (average) is a suitable measure of center for symmetric distributions, which is the case in Sunny Town. When a distribution is symmetric, the mean provides an accurate representation of the center of the data.

On the other hand, the distribution in Beach Town is skewed.

A skewed distribution means that the data is not symmetric and has a long tail on one side. In such cases, the median is a more appropriate measure of center. The median represents the middle value of a dataset and is less affected by extreme values or outliers, making it a better choice for skewed distributions.

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After 37 bounces, the ball's height will be less than 1 foot.

The initial height of the ball is 50 feet.

After first bounce, the ball will reach a height of:

= 50 feet * (1 - 10%)

= 45 feet.

After second bounce, it will reach a height of:

= 45 feet * (1 - 10%)

= 40.5 feet.

Height decreases by 10% after each bounce.

We have to set up an equation:

50 feet * (0.9)^n < 1 foot

Simplifying:

0.9^n < 1/50

Taking the logarithm:

n * log(0.9) < log(1/50)

n > log(1/50) / log(0.9)

n > 37.1298771746

n > 37.13.

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Answer:An integer (from the Latin integer meaning "whole") is colloquially defined as a number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, 512, and √2 are not. ... ℤ is a subset of the set of all rational numbers ℚ, which in turn is a subset of the real numbers ℝ.

Step-by-step explanation:

An integer (from the Latin integer meaning "whole") is colloquially defined as a number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, 512, and √2 are not. ... ℤ is a subset of the set of all rational numbers ℚ, which in turn is a subset of the real numbers ℝ.

Answer:

Integers are any numbers, positive or negative, except 0.

The airplane will become balanced if we add a 100- pound weight to the baggage compartment.

An airplane is used to convey people and goods from one point to another by air. The airplane must be airlifted. This means that the airplane must be balanced while on air. If the airplane is not balanced, it may be difficult to control.

Looking at the situation of this airplane, the airplane will become balanced if we add a 100- pound weight to the baggage compartment.

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Answer:

\(\sf 1\frac{1}{6}\)

solving steps:

\(\sf given: x = 9, \ y = \frac{5}{6}\)

solve:

\(\sf \frac{2}{3} (x-6)-y\)

\(\sf \frac{2}{3} (9-6)-\frac{5}{6}\)

\(\sf \frac{2}{3} (3)-\frac{5}{6}\)

\(\sf 2 - \frac{5}{6}\)

\(\sf \frac{12}{6} -\frac{5}{6}\)

\(\sf \frac{12-5}{6}\)

\(\sf \frac{7}{6}\)

\(\sf 1\frac{1}{6}\)

Answer:

7/6

Step-by-step explanation:

x = 9,  y = 5/6

2/3(x - 6) - y

2/3(9 - 6) - 5/6

2 - 5/6

12/6 - 5/6

= 7/6

The total amount of money paid for the tickets in the first two hours is given as follows:

$13,475.

The total amount of money paid for the tickets in the first two hours is obtained applying the proportions in the context of the problem.

The amount of people that purchased tickets in each hour is given as follows:

Then the total number of people is given as follows:

350 + 420 = 770 people.

Each ticket costs $17.50, hence the amount earned is given as follows:

770 x 17.50 = $13,475.

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a) The graph of the ANOVA test is illustrated below.

b) The relationship between identification and empathy for

i)  Students who played neutral games is 0.328

ii. Students who played Half-Life is 0.035

iii. Students who played GTA is 0.149

Using the data provided, we can perform ANOVA by fitting a linear model with "game.type" as the independent variable and "empathy" as the dependent variable. We can then use the "anova" function in R to perform the ANOVA test. The results show that the p-value for the "game.type" variable is 0.000242, which is less than the significance level of 0.05. This indicates that there is a significant difference between the mean empathy scores for the different types of games.

To further investigate this difference, we can use Tukey's HSD post-hoc test to compare the means of each pair of game types. The results show that the mean empathy score for GTA games is significantly lower than the mean empathy score for neutral games (p-value < 0.001) and Half-Life games (p-value = 0.002), but there is no significant difference between the mean empathy scores for neutral and Half-Life games.

To explore the relationship between identification and empathy, we can first subset the data for individuals who played each type of game using the "subset" function in R. We can then create scatterplots to visualize the relationship between identification and empathy for each subset.

For students who played neutral games, the scatterplot shows a positive correlation between identification and empathy, suggesting that individuals who identified more with their game character also had higher empathy scores. However, the correlation is not significant (p-value = 0.328), indicating that we cannot reject the null hypothesis of no correlation.

For students who played Half-Life, the scatterplot also shows a positive correlation between identification and empathy, which is significant (p-value = 0.035). This suggests that individuals who identified more with their Half-Life game character also had higher empathy scores.

For students who played GTA, the scatterplot shows a negative correlation between identification and empathy, indicating that individuals who identified more with their GTA game character had lower empathy scores. However, the correlation is not significant (p-value = 0.149), indicating that we cannot reject the null hypothesis of no correlation.

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2x-3=7

The answer would be 5.

Answer:

x=5

Step-by-step explanation:

2x−3=7

Add 3 to both sides.

2x=7+3

Add 7 and 3 to get 10.

2x=10

Divide both sides by 2.

x=10/2

Divide 10 by 2 to get 5.

x=5

To solve this problem, we first need to understand that a rhombus is a quadrilateral with all sides equal in length. Also, the diagonals of a rhombus bisect each other at right angles. Let's assume that the angle between one of the sides and a diagonal is x degrees. Then, the angle between the other diagonal and the same side is 180-x degrees. Since the difference between these two angles is given as 32 degrees, we can set up an equation:
(180-x) - x = 32
Solving this equation, we get:
2x = 148
x = 74
Therefore, the angles of the rhombus are 74 degrees and 106 degrees.

A rhombus is a special type of quadrilateral where all sides are equal in length. Also, the diagonals of a rhombus bisect each other at right angles. In this problem, we are given that the difference of the measures of 2 angles between a side and the diagonals is 32 degrees. To solve for the angles of the rhombus, we need to use the fact that the sum of the interior angles of a quadrilateral is 360 degrees. We assume that one of the angles between a side and a diagonal is x degrees, and set up an equation using the difference given in the problem. Solving this equation gives us the value of x, which allows us to find the other angle.

In a rhombus, the angles between a side and the diagonals are equal. If we are given the difference between these angles, we can use an equation to solve for the measures of these angles. In this problem, we found that the angles of the rhombus are 74 degrees and 106 degrees.

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024.00% is the effective tax rate .

The percentage of income that a person or a business pays in taxes is known as the effective tax rate. The average tax rate that is applied to both earned and unearned income, such as stock dividends, is known as the effective tax rate for individuals.

An income tax is a charge levied against people or organizations in relation to the income or profits they make. In most cases, income tax is calculated as the sum of the tax rate and the amount of taxable income. The type of taxpayer and the type of income are two factors that can affect the tax rate. Individuals (or family units) and corporations are subject to income taxes. The basis for calculating individual income tax is the income received. Since the burden is presumably on the individuals who pay it, it is typically categorized as a direct tax. Income taxes are assessed against both businesses and people based on their profits. Taxable income can be earned from a variety of sources, including earnings, salaries, dividends, interest, royalties, and rent.

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Answer:

5x-3xy+2?

srry if its wrong

Answer:

5x- 3xy +2

Step-by-step explanation:

Follow the rule of PEMDAS to simplify expressions.