HELP!!!! Order the lengths of the sides of ABC from greatest to least
A=78. B=56. C=46
Enter the name of each side In alphabetical order. For example, enter the side opposite

The given sets written using interval notation are:

C ∪ D = [6, ∞)

C ∩ D = (6, ∞)

From the question, we are to write the given sets in interval notation

From the given information,

C = {z | z≥ 2}

D = {z | z > 6}

Note that set C is a set of all real numbers greater than or equal to 2

and

Set D is a set of all real number greater than 6

First, we will write the sets using the set-builder notation

We are to determine C ∪ D

C ∪ D = {z | z ≥ 6}

Also, we are to write C ∩ D

C ∩ D = {z | z > 6}

Now, we will write the sets in interval notation

C ∪ D = {z | z ≥ 6} = [6, ∞)

C ∩ D = {z | z > 6}  = (6, ∞)

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Answer:

Find the slopes of the linear functions.

On a coordinate plane, a line goes through points (0, 6) and (6, 0). Y = negative 2 x + 7.

The slope of the line given by the linear equation is  

✔ -2

.

The slope of the line shown in the graph is  

✔ -1

.

Step-by-step explanation:

on edge 2020

The slope of linear Equation is -2.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

y= -2x+ 7

Now, we know the standard form of slope- intercept form

y= mx+ b

where m is slope and b is the y- intercept

Now, Comparing it with given equation we get

slope, m= -2

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Answer:

y = - 7x + 17

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 7x - 9 ← is in slope- intercept form

with slope m = - 7

Parallel lines have equal slopes, thus

y = - 7x + c ← is the partial equation

To find c substitute (1, 10) into the partial equation

10 = - 7 + c ⇒ c = 10 + 7 = 17

y = - 7x + 17 ← equation of parallel line

We want to complete the steps to convert the given quadratic equation into vertex form.

Eventually we will get:

y = (x + 1)^2 - 2

For a quadratic equation with the vertex (h, k), the vertex form is:

y = a*(x - h)^2 + k

Here we start with:

y = x^2 + 2x - 1

1) First, we complete the perfect-square trinomial, we need to add and subtract 1 to get that:

y = x^2 + 2x - 1 + 1 - 1

2) Now we rewrite the equation to be able of completing squares:

y = (x^2 + 2x + 1) - 1 - 1

y = (x^2 + 2x + 1) - 2

3) Now we complete squares

y = (x + 1)^2 - 2

And this is the equation in vertex form, where you can see that the vertex is the point (-1, - 2)

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Answer:

\(3^{1.5}\)

Step-by-step explanation:

\(3 = 3^1\)

\(\sqrt{3} = x^{0.5}\)

\(3*\sqrt{3} = 3^{1} * 3^{0.5} = 3^{1 + 0.5} = 3^{1.5}\)

Among the given options, the "Success/Failure Condition" is not a requirement for testing means. The other three options—Randomization, Nearly Normal Condition, and 10% Condition—are necessary conditions to be considered when conducting hypothesis tests on means.

Randomization: Randomization is essential to ensure that the samples being compared are representative of the population and to minimize bias. Random assignment of individuals to treatment groups helps control for confounding variables and increases the validity of the statistical analysis.

Nearly Normal Condition: The Nearly Normal Condition assumes that the data follows a roughly normal distribution within each group being compared. This condition is important because many statistical tests, such as t-tests, rely on the assumption of normality to provide accurate results.

10% Condition: The 10% Condition is relevant when sampling from a finite population. It states that the sample size should be no more than 10% of the population size to ensure that the sampling process does not significantly affect the population distribution.

Success/Failure Condition: The Success/Failure Condition is not directly related to testing means. It is typically associated with tests involving proportions, where the condition specifies that both the number of successes and the number of failures should be at least 10 in each sample or category being compared.

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Answer:

a cycle is a sequence of non-repeated vertices and the degree of a graph is the number of neighbors the vertex has.

Answer:

(2n + 1)(n + 3) + (2n + 1)(n - 2)

= (2n + 1)(n + 3 + n - 2)

= (2n + 1)2n + 1)

= 4n² + 4n + 1

= 2(2n² + 2n) + 1

can see 2(2n² + 2n) is   a multiple of 2 but 1 isnt  a multiple of 2

=>  2(2n² + 2n) + 1  is not a multiple of 2

=> (2n + 1)(n + 3) + (2n + 1)(n - 2) is not a multiple of 2

Step-by-step explanation:

Since η² ≈ 0.33 and not 0.50, the statement "If an analysis of variance produces SS between = 20 and SS within = 40, then η² = 0.50" is false.

ANOVA, or Analysis of Variance, is a statistical method used to compare the means of two or more groups to determine if there are any statistically significant differences between them. It is commonly used in experimental and observational studies to analyze the variance between group means and within-group variability.

ANOVA tests the null hypothesis that the means of the groups are equal, against the alternative hypothesis that at least one of the group means is different. It calculates the F-statistic, which compares the between-group variability to the within-group variability. If the F-statistic is large enough and exceeds a critical value, it indicates that there is evidence to reject the null hypothesis and conclude that there are significant differences between the group means.

We can determine if η² = 0.50 is true or false by calculating the effect size η² using the provided SS between and SS within values.
η² = SS_between / (SS_between + SS_within)
η² = 20 / (20 + 40)
η² = 20 / 60
η² = 1/3 ≈ 0.33
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True, the eta-squared value is indeed 0.50, indicating that 50% of the total variance is accounted for by the between-group variation.

The formula to calculate eta squared (η2) is:
η2 = SSbetween / (SSbetween + SSwithin)
If SSbetween = 20 and SSwithin = 40, then:
η2 = 20 / (20 + 40) = 0.5
Therefore, η2 = 0.50, which means that 50% of the total variance in the dependent variable can be attributed to the independent variable (or factor) being analyze. The statement "If an analysis of variance produces SS between = 20 and SS within = 40, then η 2 = 0.50" is true. To determine η 2 (eta-squared), you'll need to calculate the proportion of total variance explained by the between-group variation. This can be done using the formula η 2 = SS between / (SS between + SS within). In this case, η 2 = 20 / (20 + 40) = 20 / 60 = 0.50. Therefore, the eta-squared value is indeed 0.50, indicating that 50% of the total variance is accounted for by the between-group variation.

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The percentage increase per year in the winner's check over the given period. If the winner's prize increases at the same rate, it will be $1,454,735,139.69 in 2040.

To calculate the percentage increase per year in the winner's check over the period from 1895 to 2007, we can use the following formula:

Percentage Increase = (Final Value - Initial Value) / Initial Value * 100

a. Calculating the percentage increase:

Initial Value = $140

Final Value = $1,171,000

Percentage Increase = (1,171,000 - 140) / 140 * 100 ≈ 835,714.29%

b. To estimate the winner's prize in 2040, we can assume the same annual percentage increase will continue. We need to calculate the number of years from 2007 to 2040 and apply the percentage increase to the 2007 prize.

Number of years = 2040 - 2007 = 33 years

Estimated prize in 2040 = 1,171,000 * (1 + (Percentage Increase / 100))^33

Estimated prize in 2040 = 1,171,000 * (1 + (835,714.29 / 100))^33 ≈ $1,454,735,139.69

Therefore, if the winner's prize increases at the same rate, it is estimated to be approximately $1,454,735,139.69 in 2040.

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Answer:

4:3

Step-by-step explanation:

because 32:24 simpified is 4:3

Answer:

147

Step-by-step explanation:

Answer:

p = 20x

hope it's helpful ❤❤❤❤❤

THANK YOU.

Answer: 20x+8

Step-by-step explanation

Got it correct!

Complete question :

From Monday through Friday, James works in the library on 2 days and in the cafeteria on another day. On Saturday and Sunday, James washes cars 50% of the days. How many days does James work in a week? What percent of the days from Monday through Friday does he work?

Answer:

4 days ;

60%

Step-by-step explanation:

From Monday to Friday

Number of days in library = 2

Number of days in cafeteria = 1

50% of days in weekends

Number of weekend days = 2

50% of 2 = 0.5 * 2 = 1 day

Total. Number of days worked = (2 +1 + 1) = 4 days

What percent of the days from Monday through Friday does he work?

Number of days workwd from. Monday to Friday = 3

Total number of days from Monday to Friday = 5

Percentage of days worked from Monday to Friday

= number of days worked / total number of days

= 3 /5 * 100%

= 0.6 * 100%

= 60%

In this experimental design, the y variable is the testosterone levels.

A variable is defined as any symbol or letter that is used to express an unknown quantity. There are two types of variables: the dependent variable (y variable) and the independent variable ( x variable).

An independent variable (x variable) is the variable which causes the change in another variable.

A dependent variable (y variable) is the result or effect of that change in the dependent variable.

If we are interested in what happens to testosterone levels as the men age in adult men ages 18 years and older, then the x variable is the age and the y variable is the testosterone levels.

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Answer:

B) 3

Step-by-step explanation:

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The mass of oxygen in the oxidation reaction is 1.48g

Oxidation is the gain of oxygen. Reduction is the loss of oxygen. For example, in the extraction of iron from its ore.

According to Classical or earlier concept oxidation is a process which involves the addition of oxygen or any electronegative element or the removal of hydrogen or any electropositive element.

According to electronic concept oxidation is defined as the process in which an atom or ion loses one or more electrons.

In this process shown in the equation, this is the oxidation of iron to form it's ore.

The mass of oxygen in the reaction can be calculated by subtracting the mass of iron from it's ore.

Mathematically, this is calculated as

Mass of oxygen = mass of ore - mass of iron

mass of oxygen = 20.91 - 19.43

mass of oxygen = 1.48g

The mass of oxygen is 1.48g

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Given that the city officials estimate that 46 percent of all city residents are in favor of building a new city park. A random sample of 150 city residents will be selected and assume that 51 percent of the sample are in favor of building a new city park. The sampling distribution of the sample proportion for samples of size 150 is approximately normal, and the mean is 0.46. The statement that describes the distribution of the sample proportion for samples of size 150 is "The distribution is approximately normal, and the mean is 0.46."

Sample size n = 150

Sample proportion = 51% = 0.51

The distribution of the sample proportion of all possible samples of size n (n = 150) is called the sampling distribution of the sample proportion.

The central limit theorem (CLT) states that the sampling distribution of the sample proportion will be approximately normal if the sample size is large enough. The sample size is large enough if

np ≥ 10 and n(1 - p) ≥ 10.

Here p is the population proportion.In the given problem, the population proportion is not known. But the sample size is 150, which is large enough to apply CLT.The mean of the sampling distribution of the sample proportion is the same as the population proportion.

Given that the city officials estimate that 46 percent of all city residents are in favor of building a new city park.

Hence, the mean of the sampling distribution of the sample proportion is 0.46.

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The area between the two curves f(x) and g(x) over the interval [0, 3] is 4.5 square units. To calculate the area between the two curves f(x) = 14x + x^2 - 2x^3 and g(x) = x^2 - 4x, we need to follow these steps:

1. Find the points of intersection: Set f(x) = g(x) and solve for x.

14x + x^2 - 2x^3 = x^2 - 4x

Rearrange the equation:

2x^3 - 18x = 0

Factor out 2x:

2x(x^2 - 9) = 0

Solve for x:

x = 0, x = 3, x = -3

2. Determine the interval: The points of intersection are x = -3, x = 0, and x = 3. We'll consider the interval [0, 3] for this problem.

3. Set up the integral: To find the area between the curves, we'll integrate the difference between the functions over the interval [0, 3]:

Area = ∫[f(x) - g(x)] dx from 0 to 3

Area = ∫[(14x + x^2 - 2x^3) - (x^2 - 4x)] dx from 0 to 3

Simplify the integrand:

Area = ∫(10x - 2x^3) dx from 0 to 3

4. Integrate and evaluate: Find the antiderivative and evaluate it at the limits of integration:

Area = [5x^2 - (1/2)x^4] from 0 to 3

Area = (5(3)^2 - (1/2)(3)^4) - (5(0)^2 - (1/2)(0)^4)

Area = (45 - 40.5) - (0)

Area = 4.5

Therefore, The area between the two curves f(x) and g(x) over the interval [0, 3] is 4.5 square units.

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After solving the given numbers with (PEMDAS) 11 - 11 x 11 + 11 = we get the answer of -88.

To solve 11-11x11+11, we need to use the order of operations, which is a set of rules that dictate the order in which mathematical operations should be performed. The order of operations is:

Parentheses

Exponents

Multiplication and Division (from left to right)

Addition and Subtraction (from left to right)

Using this order of operations, we can simplify the expression as follows:

11 - 11 x 11 + 11

= 11 - 121 + 11 (since multiplication should be done before addition and subtraction)

= -99 + 11

= -88

Therefore, the value of 11-11x11+11 is -88.

In general, when simplifying expressions, it is important to follow the order of operations to ensure that you get the correct answer. Additionally, it is always a good idea to check your work by plugging the answer back into the original expression and making sure that it is correct.

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Therefore, the coordinates of point G are (3.5, 2).

To find the coordinates of point G, we can use the concept of section formula or the division of a line segment.

Let's assume the coordinates of point G are (x, y).

According to the given information, the line segment FH is divided into the ratio 6:2 by point G. This means that the ratio of the distances from F to G and from G to H is 6:2.

Using the section formula, we can calculate the coordinates of point G as follows:

x-coordinate of G = (6 * x-coordinate of H + 2 * x-coordinate of F) / (6 + 2)

= (6 * 8 + 2 * (-10)) / 8

= (48 - 20) / 8

= 28 / 8

= 3.5

y-coordinate of G = (6 * y-coordinate of H + 2 * y-coordinate of F) / (6 + 2)

= (6 * 4 + 2 * (-4)) / 8

= (24 - 8) / 8

= 16 / 8

= 2

Therefore, the coordinates of point G are (3.5, 2).

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a) The probability that the bank is empty is approximately 0.0026.

b) the average time the customer spends waiting to be called is approximately -0.25 c) hours the average number of customers in the bank is -1.5 d) the average number of customers waiting to be served is approximately 9.

To answer these questions, we can use the M/M/4 queuing model, where the arrival rate follows a Poisson distribution and the service time follows an exponential distribution. In this case, we have four bank tellers, so the system is an M/M/4 queuing model.

Given information:

Arrival rate (λ) = 12 customers per hour

Service rate (μ) = 1 customer every 15 minutes (or 4 customers per hour)

(a) To calculate the probability that the bank is empty, we need to find the probability of having zero customers in the system. In an M/M/4 queuing model, the probability of having zero customers is given by:

P = (1 - ρ) / (1 + 4ρ + 10ρ² + 20ρ³)

where ρ is the traffic intensity, calculated as ρ = λ / (4 * μ).

ρ = (12 customers/hour) / (4 customers/hour/teller) = 3

Substituting ρ = 3 into the formula, we have:

P = (1 - 3) / (1 + 4 * 3 + 10 * 3² + 20 * 3³) ≈ 0.0026

Therefore, the probability that the bank is empty is approximately 0.0026.

(b) The average time the customer spends waiting to be called is given by Little's Law, which states that the average number of customers in the system (L) is equal to the arrival rate (λ) multiplied by the average time a customer spends in the system (W). In this case, we want to find W.

L = λ * W

W = L / λ

Since the average number of customers in the system (L) is given by L = ρ / (1 - ρ), we can substitute this into the equation to find W:

W = L / λ = (ρ / (1 - ρ)) / λ

W = (3 / (1 - 3)) / 12 ≈ -0.25

Therefore, the average time the customer spends waiting to be called is approximately -0.25 hours, which is not a meaningful result. It seems there might be an error in the given data.

(c) The average number of customers in the bank (L) can be calculated as:

L = ρ / (1 - ρ) = 3 / (1 - 3) = -1.5

Therefore, the average number of customers in the bank is -1.5, which is not a meaningful result. It further suggests an error in the given data.

(d) The average number of customers waiting to be served can be calculated as:

\(L_q\) = (ρ² / (1 - ρ)) * (4 - ρ)

Substituting ρ = 3, we have:

\(L_q\\\) = (3² / (1 - 3)) * (4 - 3) ≈ 9

Therefore, the average number of customers waiting to be served is approximately 9.

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The basic function equivalent to the piecewise-defined function f(x) = x if x ≥ 0 and -x if x < 0 is f(x) = |x|, which represents the absolute value of x.

The given piecewise-defined function f(x) has different expressions for different intervals. For x greater than or equal to zero, f(x) takes the value of x. For x less than zero, f(x) is equal to -x. We need to find a basic function that captures this behavior.

Among the options provided, f(x) = |x| is equivalent to the given piecewise function. The absolute value function, denoted by |x|, returns the positive value of x regardless of its sign. When x is non-negative, |x| equals x, and when x is negative, |x| is equal to -x, mirroring the conditions of the piecewise-defined function.

The function f(x) = |x| represents the absolute value of x and matches the behavior of the given piecewise-defined function, making it the equivalent basic function.

In summary, the basic function equivalent to the piecewise-defined function f(x) = x if x ≥ 0 and -x if x < 0 is f(x) = |x|, which represents the absolute value of x.

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(a) The equilibria of the model can be found by setting dp/dt = 0 and solving for p. From the given differential equation, we have cp(1-p) - ep = 0. Rearranging this equation, we get cp - cp^2 - ep = 0. Factoring out p, we have p(cp - cp - e) = 0. Simplifying further, we find that the equilibria are p = 0 and p = (c - e)/c.

(b) To ensure that the nonzero equilibrium p = (c - e)/c lies between 0 and 1, we need the fraction to be positive and less than 1. This implies that c - e > 0 and c > e.

(c) The conditions for the nonzero equilibrium to be locally stable depend on the sign of the derivative dp/dt at that equilibrium. Taking the derivative dp/dt and evaluating it at p = (c - e)/c, we find dp/dt = (c - e)(1 - (c - e)/c) - e = (c - e)(e/c). For the equilibrium to be locally stable, we require dp/dt < 0. Therefore, the condition for local stability is (c - e)(e/c) < 0, which can be simplified to e < c.

In conclusion, the equilibria of the Levins model are p = 0 and p = (c - e)/c. The nonzero equilibrium lies between 0 and 1 when c > e, and it is locally stable when e < c.

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By applying the concept of central and extreme scores, it can be concluded that a score of x = 85 would be considered a central score in population 1, and an extreme score in populations 2 dan 3.

A central score is a score that is near the middle of the distribution, while an extreme score is a score that is far out in the tail of the distribution.

In order to determine whether a score of x = 85 is a central score or an extreme score for each of the following populations, we need to look at the distribution of scores in each population.

Overall, whether a score of x = 85 is considered a central score or an extreme score depends on the distribution of scores in the population. If the scores are evenly distributed and x = 85 is near the middle of the distribution, it would be considered a central score. However, if the scores are clustered around a different value and x = 85 is far out in the tail of the distribution, it would be considered an extreme score.

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The base of the Eiffel Tower in Frank's model is 4 inches.

A ratio indicates the number of times one number contains another.

Given, the height of the Eiffel Tower is 984 feet and the width at its base is 328 feet.

The ratio of height to base of the Eiffel Tower is given by:

984/328

=3

Therefore, the ratio of height to base for Frank's model should also be 3, Which is given by:

12/(base)=3

12/3=base

4 = base

Hence, the base of the Eiffel Tower in Frank's model is 4 inches.

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The greatest common factor of 16 and 24 is 2×2×2

The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.

Given that, The prime factorizations of 16 and 24 are shown below.

Prime factorization of 16: 2, 2, 2, 2

Prime factorization of 24: 2, 2, 2, 3

Now, choosing the common factors = 2, 2, 2

Therefore, the GCF = 2, 2, 2

Hence, The GCF of 16 and 24 is 2, 2, 2

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Answer:

y=\(\frac{3}{8}\)x

Step-by-step explanation:

First, let's understand what the question is asking us. The question is asking us to find the equation for the line shown in the graph in slope-intercept form (y=mx+b). In slope intercept form, m is the slope and b is the y-intercept. So, to find the equation of the line, we will need to find the slope and y-intercept.

Slope (m):

Slope can be found by rise over run. In other words, slope is the amount you go up or down divided by the amount you go to the left or right. To find slope, you need to look at 2 points. I'm choosing to look at the points (0,0) and (8,3). To get from (0,0) to (8,3), we need to go up 3 and to the right 8. This means that our slope is 3/8.

Y-intercept (b):

To find the y-intercept, you need to find where the line crosses the y-axis. In the graph shown, the line crosses the y-axis at y=0. This means that our y-intercept is 0.

Slope-intercept form equation:

Now, let's use the information we found to create the equation for the line!

y=mx+b

y=\(\frac{3}{8}\)x+0 or just y=\(\frac{3}{8}\)x

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Have a GREAT day!!!

Answer:

x= -2 y=0

Step-by-step explanation: