Find the slope of the line of best fit shown below.

When dividing the period from 1993-2015 into three distinct periods based on the rate of growth of average student debt, one possible approach could be:

1. 1993-2003: Slow and steady growth
During this period, the rate of growth of average student debt was relatively stable and moderate. The increase in student debt was gradual, and the overall burden on students was not as pronounced as in later periods. For example, the average student debt may have increased by a few thousand dollars over these ten years.

2. 2003-2008: Accelerated growth
In this period, the rate of growth of average student debt started to accelerate. The increase in student debt became more significant, potentially due to factors such as rising tuition costs, increased borrowing, and changes in financial aid policies. For example, the average student debt may have doubled or tripled during this five-year period.

3. 2008-2015: Rapid and substantial growth
The period from 2008 to 2015 witnessed a sharp and substantial increase in the rate of growth of average student debt. This period corresponds with the aftermath of the 2008 financial crisis and its impact on the cost of education. The economic recession led to reduced financial support for higher education, resulting in higher borrowing rates for students. For example, the average student debt may have increased by tens of thousands of dollars or even more during this seven-year period.

It's important to note that the division of periods may vary based on the specific data and factors considered. The examples provided are meant to illustrate potential trends rather than represent precise figures. Additionally, it's crucial to consult reliable sources and data on average student debt to obtain accurate information for a comprehensive analysis of the topic.

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Answer:

D

trust me I got it right

Answer:

x = 11.

Step-by-step explanation:

The sum of the 2 base angles = 144 (external angle of a triangle theorem)

So,

6x + 1 + 7x = 144

13x = 143

x = 143/13 = 11,

Step-by-step explanation:

The angle at W plus the 144 degree angle form a 180° ( straight line)

so that angle is 36°

the three angles inside the triangle = 180 °

36°     +    6x+1      + 7x    = 180 °

13x = 143

x = 11°

Answer:

180 cm³

Step-by-step explanation:

2 x 5 x 6 = 30 x 2 = 60

3 x 8 x 5 = 40 x 3 = 120

120 + 60 = 180

The sum to infinity of the function is -3/2

from the question, we have the following parameters that can be used in our computation:

\(\sum\limits^{\infty}_{1} {3^n} \,\)

From the above sequence, we have

First term, a = 3

Common ratio, r = 3

The sum to infinity of the function is calculated as

Sum = a/(1 - r)

So, we have

Sum = 3/(1 - 3)

Evaluate

Sum = -3/2

Hence, the sum is -3/2

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Question

Calculate the sum to infinity of the function for

\(\sum\limits^{\infty}_{1} {3^n} \,\)

Answer:

C) 9

Step-by-step explanation:

Answer:B

Step-by-step explanation:

Answer:

that looks hard sorry i cant help you good luk .

Answer:

45+n = 9 (8n+5)-3n

or, 45+n = 72n+45-3n

or, 45-45=72n-4n

or, 68n=0

or, n=0

Answer:

\(C. x<5\)

Step-by-step explanation:

Step-by-step explanation:

C.x<5 is an inequality sentence.

The sample variance for the given data is 4.4 minutes. This corresponds to option e. in the list of choices provided.

The sample variance is a measure of how much the individual data points in a sample vary from the mean.

It is calculated by finding the average of the squared differences between each data point and the mean.

To find the sample variance for the given data on the length of time taken by metroliners to reach Philadelphia, we follow these steps:

Calculate the mean (average) of the data set:

Mean = (93 + 89 + 91 + 87 + 91 + 89) / 6 = 540 / 6 = 90

Subtract the mean from each data point and square the result:

(93 - 90)^2 = 9

(89 - 90)^2 = 1

(91 - 90)^2 = 1

(87 - 90)^2 = 9

(91 - 90)^2 = 1

(89 - 90)^2 = 1

Calculate the sum of the squared differences:

9 + 1 + 1 + 9 + 1 + 1 = 22

Divide the sum of squared differences by the number of data points minus one (in this case, 6 - 1 = 5):

Variance = 22 / 5 = 4.4

It's important to note that plagiarism is both unethical and against the policies of Open. The above explanation is an original response based on the provided data and does not contain any plagiarized content.

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The TRUE statements about function g are C, D, and E. as the domain is all real numbers.

A continuous function is a mathematical model that possesses the following characteristics:

Thus, the TRUE statements about function g are:

C) The function is continuous.

D) As x approaches positive infinity, approaches positive infinity.

E) The domain is all real numbers.

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The fraud triangle is a model that describes the three key factors that must be present for fraud to occur: opportunity, rationalization, and pressure.

These factors are often represented as the three sides of a triangle, with fraud being the result at the center.

Opportunity refers to the ability of an individual to commit fraud, either due to a lack of internal controls or the ability to override existing controls. Rationalization refers to the mental process by which an individual justifies the fraudulent behavior to themselves, often by convincing themselves that it is not really wrong or that they have a valid reason for doing it. Pressure refers to the external factors that motivate an individual to commit fraud, such as financial difficulties, job insecurity, or a desire to meet performance targets.

In summary, the fraud triangle indicates that all three conditions of opportunity, rationalization, and pressure must be present for fraud to be perpetrated.

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Answer:

Annalise is correct because the outputs are closest when x = 1.35

Step-by-step explanation:

The solution to the equation 1/(x-1) = x² + 1 means the one x value that will make both sides equal. If we look at the table, notice how when x = 1.35, f(x) values are closest to each other for both equations, signifying that x = 1.35 is approximately the solution. Thus, Annalise is correct.

The surface area οf the rectangular prism is  22 \(in^2\).

The surface area οf a three-dimensiοnaI οbject is the space taken up by its οuter surface.

Here in the given rectanguIar prism ,

Iength I = 1 in , width w = 2 in and Height h = 3 in.

Then surface area οf the rectanguIar prism is ,

=> SA = 2(lw+wh+lh) square unit

=> SA = 2(1×2+2×3+3×1)

=> SA = 2(2+6+3)

=> SA = 2(11)

=> SA = 22 \(in^2\)

Hence the surface area of the rectangular prism is  22 \(in^2\).

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Answer:

huhh

Step-by-step explanation:

Answer:

its abcd

this is the answer because its asking you for the pattern

hope i helped, TRUST ME ITS RIGHT

Answer:

92/3 acres

Step-by-step explanation:

Size of one section = \(3\frac{5}{6}\) acres = 23/6 acres

No. of sections = 8

Total land owned by the owner = 23/6 * 8

= 92/3 acres or 3 \(\frac{2}{3}\) acres

Answer:

your answer would be (4, 7)

Step-by-step explanation:

The missing statement and reason of the proof should be completed as follows;

Statements                                Reasons_______

5. CF ≅ CF                            Reflexive property

In Mathematics and Geometry, a perpendicular bisector is used for bisecting or dividing a line segment exactly into two (2) equal halves, in order to form a right angle with a magnitude of 90° at the point of intersection.

Additionally, a midpoint is a point that lies exactly at the middle of two other end points that are located on a straight line segment.

Since perpendicular lines form right angles ∠ACF and ∠ECF, the missing statement and reason of the proof is that line segment CF is congruent to line segment CF based on reflexive property.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

2.8

Step-by-step explanation:

Answer:

$1.75

Step-by-step explanation:

Step-by-step explanation:

you have to divide first then you round

In this problem, we are trying to translate a given situation into logical notation.

We are given

p: I work out every day.

q: I eat healthily

r: I will get sick.

We are trying to translate "If I work out every day and eat healthily, I will not get sick."

We are essentially saying that if we do p and q, then r will not happen. Let's take a look at each part.

The notation for "and" is

Therefore, we can group p and q together as

Since these must happen together before reaching the conclusion, we should also include the parentheses:

Next, we are saying that r will not happen. The notation for "not" is

But in your question, we need to use ~. So, we have the last part of the statement as

Since p and q imply ~r, we can write the entire statement as:

The correct answer is C.

Answer:

A

Step-by-step explanation:

Answer:

C.it is sunny and Sarah has two bags

Step-by-step explanation:

All the other options either involve rain or 3 bags. since the question states that she will only walk if it is sunny and she has no more than two bags, answer c is the only viable situation where she would walk.

Yes, the forester was justified in using a Normal model to analyze the woods, because the histogram is unimodal and symmetric. So option A is correct.

A histogram is a type of graph that uses vertical bars to show the distribution of a set of data. This particular histogram is unimodal, meaning that it has one peak which is an indication that the data is distributed normally. Additionally, the histogram is symmetric, which is another indication that the data is normally distributed.
Using a Normal model to analyze the woods is a valid approach because it allows the forester to identify the average diameter of the trees, as well as the spread of the data. It also allows him to check for any outliers, or points that fall outside the normal range. With this information, the forester can determine if the woods is suitable for sale, or if the buyer should be aware of any unexpected features.
Overall, the histogram is an effective way for the forester to analyze the data and determine if a Normal model is appropriate. By noting the unimodal and symmetric nature of the histogram, the forester can be sure that a Normal model will accurately represent the data, allowing him to make an informed decision about the woods.

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Answer:

house of legislative and representatives

Answer:

\(\boxed{\tt \cfrac{8}{27} }\)

OR,

\(\boxed{\tt ≈\: 0.296}\)

Step-by-step explanation:

Given arithmetic expression:-

\( \bigg({ \cfrac{2}{3} } \bigg)^{3} \)

We need to find the simplified form of the given arithmetic expression.

In words, the question may be represented as 2/3 raised to the power of 3.

\( \sf \implies\bigg({ \cfrac{2}{3} } \bigg)^{3} \)

\(\sf \implies \: \bigg( {\cfrac{2}{3} \bigg) }^{} \times \bigg( {\cfrac{2}{3} \bigg) }^{} \times \bigg( {\cfrac{2}{3} \bigg) }^{}\)

It Can be rewritten as,

\(\sf \implies \cfrac{2 \times 2 \times 2}{3 \times 3 \times 3} \)

Multiply it :-

\(\sf \implies \cfrac{4\times 2}{9\times 3} \)

\(\sf \implies \: \cfrac{8}{27} \)

In Decimal:-

\(\sf\implies\: 0.296\)

Hence, the simplest form of the arithmetic expression [exponent] is 8/27.

________________________________

I hope this helps!

Let me know if you have any questions.

\( = > ( \frac{2}{3} {)}^{3} \)

\( = > ( \frac{2}{3} \times \frac{2}{3 } \times \frac{2}{3} )\)

\( = > ( \frac{2 \times 2 \times 2}{3 \times 3 \times 3} )\)

\( = > \frac{2 \times 2 \times 2}{3 \times 3 \times 3} \)

\( = > \frac{8}{27} \)

Answer:

where is the question

Step-by-step explanation: