Circle C is centered at the origin. If the radius of circle C is 5, which of the following statements is TRUE?

If the distance from the origin to a given point is greater than 5, then that point lies on circle C.

If the distance from the origin to a given point is less than 5, then that point lies outside circle C.

If the distance from the origin to a given point is 5, then that point lies on circle C.

If the distance from the origin to a given point is greater than 5, then that point lies inside circle C.

A chart that is recommended as an alternative to a pie chart is a - stacked column chart. A chart that is recommended as an alternative to a pie chart is a stacked column chart. Question 24: A data visualization tool that updates in real time and gives multiple outputs is called - a data dashboard.

A data visualization tool that updates in real time and gives multiple outputs is called a data dashboard. What is a scatter plot? A scatter plot is a type of diagram used to display two variables on a two-dimensional plot. The positioning of data points on a scatter plot graphically depicts the correlation between the two variables. To construct a scatter plot, two variables (independent and dependent variables) are plotted on a graph.

The independent variable is plotted on the horizontal (x) axis and the dependent variable is plotted on the vertical (y) axis. A point is plotted for each pair of values, and the pattern of the points suggests a relationship between the two variables.A scatter plot is useful in displaying the correlation between two variables. The correlation is positive if the points are in an upward direction. The correlation is negative if the points are in a downward direction. A lack of correlation, or random points, is suggested by a scatter plot with no apparent pattern.

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If the mean monthly electric bill for 71 residents of the local apartment is $62 , then the best point estimate is $62 .

In the question ,

it is given that ,

the number of residents in the local apartment complex is = 71

the mean electric bill for the 71 residents = $62 ;

we know that the sample mean is itself called as the best point estimate ;

So , best point estimate for mean monthly electric bill for all residents of local apartment complex will be = mean monthly bill for 71 residents of  local apartment complex which is given as $62 .

Therefore , the best point estimate is $62 .

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Answer:

Your input: find x in the equation −x2−12=0

x=−24

Step-by-step explanation:

Answer:

B) Maximums: (0, 1), (2π, 1);

Minimum: (π, -3)

Answer:

un

Step-by-step explanation:

The difference in the medians is 1/3 times the IQR.

Mathematically, interquartile range (IQR) of a data set and it is typically calculated as the difference between the first quartile (Q₁) and third quartile (Q₃):

Interquartile range (IQR) for Speed Slide = Q₃ - Q₁

Interquartile range (IQR) for Speed Slide = 12 - 6

Interquartile range (IQR) for Speed Slide = 6.

For the interquartile range (IQR) for Wave Machine, we have:

Interquartile range (IQR) for Wave Machine = 14 - 8

Interquartile range (IQR) for Wave Machine = 6.

For the required expression, we have the following:

2 = 6x

x = 2/6

x = 1/3.

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Answer:

The difference in the medians is 1/3 times the IQR.

Step-by-step explanation:

hope this helps!

The 10 pairs of biomolecules are Carbohydrates and Lipids, Proteins and Nucleic Acids, Proteins and Carbohydrates, Lipids and Proteins, Nucleic Acids and Lipids, Nucleic Acids and Carbohydrates, Proteins and Enzymes, Carbohydrates and Nucleic Acids, Lipids and Enzymes, Proteins and Lipids. These interactions between biomolecules play crucial roles in various biological processes, such as metabolism, cell signaling, and cellular structure.

There are many pairs of biomolecules that interact with each other in various ways. Here are 10 examples of biomolecule pairs and their interactions:

1. Carbohydrates and Lipids: Carbohydrates provide energy for lipid metabolism, while lipids act as a storage form of energy for carbohydrates.

2. Proteins and Nucleic Acids: Proteins are responsible for the synthesis and replication of nucleic acids, while nucleic acids carry the genetic information needed for protein synthesis.

3. Proteins and Carbohydrates: Proteins can bind to carbohydrates on cell surfaces, facilitating cell-cell recognition and immune responses.

4. Lipids and Proteins: Lipids can associate with proteins to form lipid bilayers, such as in cell membranes, providing structural integrity and regulating membrane protein function.

5. Nucleic Acids and Lipids: Lipids can transport nucleic acids across cell membranes, facilitating gene transfer and cellular communication.

6. Nucleic Acids and Carbohydrates: Carbohydrates can bind to nucleic acids, protecting them from degradation and assisting in their transport within the cell.

7. Proteins and Enzymes: Enzymes are specialized proteins that catalyze biochemical reactions, enabling metabolic processes to occur at a faster rate.

8. Carbohydrates and Nucleic Acids: Carbohydrates can be attached to nucleic acids, modifying their stability and functionality.

9. Lipids and Enzymes: Lipids can interact with enzymes, regulating their activity and facilitating their transport within the cell.

10. Proteins and Lipids: Lipids can bind to proteins, altering their conformation and activity, and serving as anchors for membrane proteins.

These interactions between biomolecules play crucial roles in various biological processes, such as metabolism, cell signaling, and cellular structure. It's important to note that these are just a few examples, and biomolecules can interact with each other in numerous other ways as well.

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The Correct choices are :

Square root of 4 is not a polynomial. It is a quadratic function. Functions containing other operations like square root is not a polynomial.

A polynomial need not have any square root.  polynomial is a finite sequence form. it must contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominators of any fractions. Polynomial are sums and differences of polynomial terms. For an expression to be a polynomial term, any variables in the expression must have whole number powers. It should not have any square root, cube root or any negative values. Quadratic function can have square root cube roots and fraction values.

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The relationship that is normally expressed as the quotient of one quantity divided by another is called a ratio

The relationship that is normally expressed as the quotient of one quantity divided by another is called a ratio. A ratio is a comparison of two numbers or measurements, and it can be written in different ways.

For example, if we have two quantities A and B, the ratio of A to B can be written as

A/B

A:B

"A is to B"

The ratio of A to B tells us how many times A is contained within B, or how many units of A we would need to have to match the amount of B.

Ratios are useful in many fields, such as finance, engineering, and science, where they are used to compare and analyze different quantities and their relationships.

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The difference of 1200 and 1000 between the two studies means that the second study had 200 more bacteria than the first one.

In the first study, the number of bacteria is modeled by the function b1(t) = 1200(1.5)^t, while in the second study, the number of bacteria is modeled by the function b2(t) = 1000(1.8)^t. The difference of 1200 and 1000 is the initial number of bacteria in the first study, which is 200 more than the second study.

Both studies model the growth of bacteria over time. In the first study, the growth rate is 1.5, while in the second study, it is 1.8. The difference between the two studies can be explained by the difference in the growth rates. A growth rate of 1.8 means that the bacteria will multiply faster than a growth rate of 1.5, resulting in a higher number of bacteria in the second study. However, the initial number of bacteria in the second study was lower than in the first study, resulting in a lower total number of bacteria despite the higher growth rate.

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The z-score for a daily rate of $233.49 with a standard deviation of $21.72 is approximately 0.1440.

To calculate the z-score, we use the formula:

z = (x - μ) / σ

Where:

z = z-score

x = observed value

μ = mean

σ = standard deviation

In this case, the observed value (x) is $233.49, the mean (μ) is the average daily rate, and the standard deviation (σ) is $21.72.

Using the formula, we can calculate the z-score:

z = (233.49 - μ) / 21.72

Since we are given the average daily rate as $233.49, the z-score is:

z = (233.49 - 233.49) / 21.72 = 0 / 21.72 = 0

Therefore, the z-score for a daily rate of $233.49 with a standard deviation of $21.72 is 0.

The z-score for a daily rate of $233.49 with a standard deviation of $21.72 is 0. This indicates that the observed value is equal to the mean, suggesting that the daily rate falls in line with the average for a luxury hotel.

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Variable Manufacturing Overhead Efficiency can be calculated by comparing the standard cost of actual production at the standard number of hours required to produce the actual output, which is multiplied by the standard variable overhead rate per hour, with the actual variable overhead cost incurred in producing the actual output.

Variance is calculated by comparing the standard cost of actual production at the standard number of hours required to produce the actual output, which is multiplied by the standard variable overhead rate per hour, with the actual variable overhead cost incurred in producing the actual output.

The following formula can be used to calculate the Variable Manufacturing Overhead Efficiency Variance:

Variable Manufacturing Overhead Efficiency

Variance = (Standard Hours for Actual Output x Standard Variable Overhead Rate) - Actual Variable Overhead Cost

Where,

Standard Hours for Actual Output = Standard time required to produce the actual output at the standard variable overhead rate per hour

Standard Variable Overhead Rate = Budgeted Variable Manufacturing Overhead / Budgeted Hours

Actual Variable Overhead Cost = Actual Hours x Actual Variable Overhead Rate

The above formula can also be represented as follows:

Variable Manufacturing Overhead Efficiency Variance = (Standard Hours for Actual Output - Actual Hours) x Standard Variable Overhead Rate

Therefore, the Variable Manufacturing Overhead Efficiency Variance can be calculated by comparing the standard cost of actual production at the standard number of hours required to produce the actual output, which is multiplied by the standard variable overhead rate per hour, with the actual variable overhead cost incurred in producing the actual output. It is an essential tool that helps companies measure their actual productivity versus the estimated productivity.

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7 inch length of candle will burn in 4 hours

In the above question, it is given that

A candle burns down as follows

The length of candle burn in 4 hours = 12 \(\frac{1}{4}\) inch

Converting it from mixed fraction to fraction we get

= \(\frac{49}{4}\)inch

We need to find a 7 inch length of candle will burn in how many hours

To find that, first we'll calculate 1 inch candle is burning in what time

\(\frac{49}{4}\)inch is burning in = 7 hours

1 inch is burning in = \(\frac{7}{\frac{49}{4} }\)

= \(\frac{7 . 4}{49}\) = \(\frac{28}{49}\) = \(\frac{4}{7}\) hrs

Now, The 7 inch candle will burn in = 7 x  \(\frac{4}{7}\) hrs = 4 hours

Hence,  7 inch length of candle will burn in 4 hours

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9514 1404 393

Answer:

  m∠B < m∠A < m∠C

Step-by-step explanation:

We can work with the triangle inequality to find that the side measures form a triangle when n > 5/4. For the given value of n ≥ 4, we don't need to be concerned with whether a triangle is formed or not.

For n = 4, the side lengths are ...

  a = 2(4) = 8

  b = (4) +3 = 7

  c = 3(4) -2 = 10

The longest side is opposite the largest angle, so the ordering of angles is ...

  m∠B < m∠A < m∠C

_____

The triangle inequality requires all of these inequalities be true:

That will be the case for n > 5/4. The attached graph shows the sides and angles keep the same order for n > 3.

Answer:

M- B     M-A      M-C

Step-by-step explanation:

yw

\(f(x) =4 x {}^{3} - 4x {}^{2} - 16x + 16\)

\(divide \: by \: x - 2\)

\(4x {}^{2} \: into \: (x - 2) = 4x {}^{3} - 8x {}^{2} \)

\(g(x) = 4x {}^{2} - 16x + 16\)

\(4x \: into \: (x - 2) = 4x {}^{2} - 8x\)

\(z(x) = - 8x + 16\)

\( - 8 \: into \: (x - 2) = - 8x + 16 \\ no \: remainder\)

\(f(x) = (x - 2)(4x {}^{2} + 4x - 8)\)

\(f(x) = 0 \\ x - 2 = 0 \: \: \: \: \: \: \: \: \: 4x {}^{2} + 4x - 8 = 0 \\ \)

\(x = \frac{ - 4 + \sqrt{4 {}^{2} - 4(4)( - 8) } }{2(4)} = \frac{ - 4 + \sqrt{144} }{8} = \frac{ - 4 + 12}{8} = 1\)

\(x = 2\)

\(x = \frac{ - 4 - 12}{8} = \frac{ - 16}{8} = - 2\)

Answer: B

Step-by-step explanation:

Edge 2023

Answer:

9% is less than 0.4. 0.4 is really 4/10 which is 40% 40 is greater than 9 therefore 9% is less than 0.4! So your answer is 9%<0.4! I hope this helped!

Step-by-step explanation:

Answer:

34.5 ft

Step-by-step explanation:

~Refer to the attachment for the solution.

The Dijkstra's shortest path algorithm is a technique that is used to determine the shortest path between two nodes in a graph.

In this algorithm, we start at a particular vertex, and we explore the adjacent vertices to find the shortest path. This algorithm works by maintaining a table that contains information about the vertices and their respective distances from the starting vertex.

Here, the starting vertex is E.

Each row in the table below represents one iteration of the while loop in Dijkstra's algorithm.

Iteration Vertex dequeued Adjacent vertices updated

1 E CA, B

2 C B, A

3 B None

4 A None

5 B None

Here's the explanation of the above table:

Iteration 1:

Vertex dequeued: E

Adjacent vertices updated: C, A, B

Explanation: The algorithm starts at vertex E. The distances of the adjacent vertices are updated in the table. The vertices C, A, and B are updated with their respective distances.

Iteration 2:

Vertex dequeued: C

Adjacent vertices updated: B

Explanation: The algorithm dequeues vertex C, and updates the distance of its adjacent vertex B.

Iteration 3:

Vertex dequeued: B

Adjacent vertices updated: None

Explanation: The algorithm dequeues vertex B, but there are no adjacent vertices to update their distances.

Iteration 4:

Vertex dequeued: A

Adjacent vertices updated: None

Explanation: The algorithm dequeues vertex A, but there are no adjacent vertices to update their distances.

Iteration 5:

Vertex dequeued: B

Adjacent vertices updated: None

Explanation: The algorithm dequeues vertex B again, but there are no adjacent vertices to update their distances.

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Answer:151

Step-by-step explanation:

Addition of 107 and 44

The value of the angle m∠EFG is 151.

We have,

From  the figure,

m∠EFG = m∠EFH + m∠HFG

Now,

Substituting the values in the angle.

m∠EFG

= m∠EFH + m∠HFG

= 44 + 107

= 151

Thus,

The value of the angle m∠EFG is 151.

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Answer:

one side = 8xy²·\(\sqrt{2x}\)

Step-by-step explanation:

if the area is 128x^3y^4 then to find one side you must take the square root

\(\sqrt{128}\)\(\sqrt{x^3}\)\(\sqrt{y^4}\) = \(\sqrt{4}\)\(\sqrt{32}\)\(\sqrt{x^2}\)\(\sqrt{x}\)\(\sqrt{y^2}\)\(\sqrt{y^2}\) =

2xy²\(\sqrt{16}\)\(\sqrt{2}\)\(\sqrt{x}\) =

8xy²·\(\sqrt{2x}\)

No: of ways can the disk jockey select no more than 11 CDs is 1012

Combinations are mathematical operations that count the number of possible configurations for a set of items where the order of the selection is irrelevant. You can choose the components of combinations in any order. Permutations and combinations can be mixed up.

Combinations with Repetition. ...

Combinations without Repetition. ...

Combinations with Repetition.

There are more options for him to pick from than just 11 CDs when choosing "no more than 8 CDs," including 11,10,9,8,7, 6, 5, 4, 3, and 1.

Ways to choose 9 CDs: 13C9=10

​Ways to choose 8 CDs: 13C8= 45

Ways to choose 7 CDs: 13C7 = 120

Ways to choose 6 CDs: 13C6= 210

Ways to choose 5 CDs: 13C5 = 252

Ways to choose 4 CDs: 13C4 = 210

Ways to choose 3 CDs: 13C3= 120

Ways to choose 2 CDs: 13C= 45

Ways to choose 1 CD: 13C1 = 10

10+45 + 120 + 210 + 252 + 210 + 120 + 45 + 10 = 1012

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Descriptive statistics describe, show, and summarize the basic features of a dataset found in a given study, presented in a summary that describes the data sample and its measurements.

For a good example of a descriptive statistic, look no further than a student's grade point average (GPA). GPA collects data points generated from various grades, grades and tests and then aggregates them to provide an overall picture of a student's average academic performance. Please note that GPA does not predict or infer future performance. Instead, it provides a simple summary of students' academic performance based on values ​​extracted from the data.

Here is an even simpler example. Suppose that the data set 2, 3,

, 5 and 6 is the sum of 20. The mean of the data set is

, which is obtained by dividing the sum by the number of values ​​(20 divided by 5 is

).

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Answer:

Steps to find the equation of a line from two points:

Find the slope using the slope formula

Use the slope and one of the points to solve for the y-intercept (b).

One of your points can replace the x and y, and the slope you just calculated replaces the m of your equation y = mx + b. Then b is the only variable left. Use the tools you know for solving for a variable to solve for b.

Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.

Step-by-step explanation:

Well this is my way lol

mark brainliest if u want to cuz i need 5 more :)

Answer:

Step-by-step explanation:

You usually need to find the slope first.

When you have more than two points, you use the slope-intercept formula.

When you have one point and a slope, you use point-slope formula.

Hope this helps!

Answer:

x/2

Step-by-step explanation:

x being the number of pages George read and divided by 2 because it is half that number !

Answer:

\(\Large \boxed{\mathrm{Option \ D}}\)

Step-by-step explanation:

(6, 4)

x = 6 and y = 4

y > -1/2x + 7

Plug in the values to check if it is true.

4 > -1/2(6) + 7

4 > -3 + 7

4 > 4

This statement is false.

(6, 4) lies on the line.

Answer:   Its A

Step-by-step explanation: I just took this test plz mark brainlist