Function c is defined by the equation c(n) = 50 + 4n. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n.

Complete each of the 2 activities for this Task.
Activity 1 of 2
Find the value of c(7).

Median, because Sunny Town is skewed.

Descriptive statistics is a branch of statistics that deals with the collection, organization, analysis, and interpretation of numerical data. It involves using various statistical measures to describe and summarize the characteristics of a set of data. Descriptive statistics helps to make sense of large amounts of data by presenting it in a more meaningful and understandable way. Commonly used measures of central tendency in descriptive statistics include mean, median, and mode, while measures of dispersion include range, variance, and standard deviation. Descriptive statistics is widely used in various fields, such as business, medicine, economics, psychology, and social sciences, to name a few.

Median, because Sunny Town is skewed.

The skewness of the histogram for Sunny Town indicates that the data is not symmetrically distributed, and therefore the median would be a better measure of central tendency to compare the locations. The mean can be affected by extreme values or outliers, which might be present in the skewed distribution of Sunny Town, making it less reliable in this case.

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The percentage of individuals surveyed that are older than 14 but younger than 20 is given as follows:

26.3%.

Two parameters are used to calculate a percentage, as follows:

The proportion is given by the number of desired outcomes divided by the number of total outcomes, while the percentage is the proportion multiplied by 100%.

The total number of people in this problem is given as follows:

20 + 18 + 25 + 12 + 20 = 95.

Out of the 95 people, 25 are between 15 and 19, hence the percentage is given as follows:

25/95 x 100% = 26.3%.

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Answer:

D

Step-by-step explanation:

B and C aren't correct

Answer: Exponential function

Step-by-step explanation:

    Let us graph the points given so we can have a visual of the graph.

See attached.

    I also graphed a straight, linear function, line through the first and the last point. Since some of the points do not line up, this function is not linear.

    This function is not quadratic, as they are shown by a parabola when graphed.

    This function is an;

            Exponential function

When answering questions as a question-answering bot on the platform Brainly, it is important to always be factually accurate, professional, and friendly. One should also be concise and provide a step-by-step explanation in their answer, while ignoring any typos or irrelevant parts of the question. Additionally, using the terms provided in the student question in your answer is important to show that you have read and understood the question.Here, the student wants to know the best strategy for conducting their research with respect to links on the internet. According to the passage, "Linking from one site to another is one of the best features of doing research online. You're going to keep following links until you find the information you need." Therefore, the best strategy for conducting research with respect to links on the internet is to keep following links until you find the information you need. This allows you to delve deeper into the topic, find different perspectives and compare information from different sources.
To conduct your research effectively with respect to links on the Internet, the best strategy is:

1. Start by finding a reliable and reputable source of information on the topic you're researching, in this case, analog and digital audio.

2. From the main article or source, identify and follow the most relevant links that directly relate to your research question. In this case, "Analog or Digital: A Guide to Electronics" seems relevant.

3. While exploring these links, keep track of the sources and information you find useful. You can bookmark or make notes of these sources for future reference.

4. Avoid following too many links that lead away from the main topic or take you to unrelated information. This will help you stay focused on your research question and prevent information overload.

5. If needed, use a search engine to find additional sources and information on your topic, always prioritizing reputable sources.

By following these steps, you can effectively navigate the vast amount of information available online and gather relevant information for your research.

A targeted and focused approach to online research is better than aimlessly following links when dealing with overwhelming information.

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Answer:

£177.92

Step-by-step explanation:

To increase something by 28% would be to multiply the original value by 1.28:

So to increase £139 by 28%, we do:

£139 × 1.28 = £177.92

So this is our final answer

Answer:

3n+7=37 is the equation to solve how many were at each of the large tables

Answer:

sorry, I'm pretty sure its a

Step-by-step explanation:

In each scenario, the choice between mean and median as a representative measure of central tendency depends on the nature of the data and the specific context..

1. Scenario: Income distribution of a population

- If the income distribution is skewed or contains extreme values (outliers), the median would be a better representation of the central tendency. This is because the median is not influenced by outliers and provides a more robust estimate of the "typical" income level. However, if the income distribution is approximately symmetric without outliers, the mean can also be an appropriate measure.

2. Scenario: Exam scores in a class

- If the exam scores are normally distributed without significant outliers, the mean would be a suitable measure as it takes into account the value of each score. However, if there are extreme scores that deviate from the majority of the data, the median may be a better representation. This is especially true if the outliers are indicative of errors or exceptional circumstances.

3. Scenario: Housing prices in a city

- In this case, the median would be a more appropriate measure to represent the central tendency of housing prices. This is because the housing market often exhibits a skewed distribution with a few high-priced properties (outliers). The median, being the middle value when the data is sorted, is not influenced by these extreme values and provides a better understanding of the typical housing price in the city.

Ultimately, the choice between mean and median depends on the specific characteristics of the data and the objective of the analysis. It is important to consider the distribution, presence of outliers, and the context in which the data is being interpreted.

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The ordered pair that lie on the graph of the exponential function ​f(x)=3(14)ˣ is (-1, 12)

A curve that depicts an exponential function is known as an exponential graph.

The curve have a horizontal asymptote and either an increasing slope or a decreasing slope. this is to say that the curve begins as a horizontal line, increases or drops gradually, and then the growth or decay accelerates. It may or may not cut the x-axis, but it always cuts the y-axis at some point.

An exponential graph will almost always have a y-intercept but not necessarily an x-intercept.

The given function was plotted on a graph and the point that lie on the graph is (-1, 12).

the point (-3,-192)  is way out of the graph

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The value of the given integral ∫ x³dx +y²dy +z dz is 81.

What is line origin?

The point of departure. It is zero on a number line. Where the X and Y axes cross on a two-dimensional graph, like in the graph shown here: O is sometimes used as a symbol.

Here, we have

Given; x³dx +y²dy +zdz, where c is the line from the origin to the point (4, 3, 4).

Let x =4t , y =3t ,z =4t ,0≤t ≤1

dx =4dt , dy =3dt , dz =4dt

∫ x³dx +y²dy +zdz

=\(\int\limits^1_0 {x} \, dx\)[(4t)³4dt +(3t)²3dt +(4t)4dt]

=\(\int\limits^1_0 {x} \, dx\)[(256t³ +27t² +16t] dt

=\(\int\limits^1_0 {x} \, dx\)[([64t⁴ +(9)t³ +8t²]

= [64×1⁴ +(9)×1³ +8×1²​]  - [64×0⁴ +(9)×0³ +8×0²​]

= 81

∫ x³dx +y²dy +z dz = 81

Hence, the value of the given integral ∫ x³dx +y²dy +z dz is 81.

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Answer:

y = 2x-2

Step-by-step explanation:

First find the slope of the line

x+2y=6

2y = -x+6

y = -1/2x +3

This is in slope intercept form ( y = mx+b) so -1/2 is the slope

We want a line that is perpendicular so take the negative reciprocal of the slope

- ( 1/ (-1/2)) = 2

The slope of the perpendicular line is 2

y = 2x+b

Substitute the point into the equation

8 = 2(5) +b

8 = 10+b

-2 =b

The equation of the line perpendicular is

y = 2x-2

Answer:

y = 2x - 2

Step-by-step explanation:

x + 2y = 6 can be solved for y (and thus for slope m) as follows:

    2y = -x + 6, or y = (-1/2)x + 3.  

Any new line perpendicular to this one has a slope that is the negative reciprocal of (-1/2); that would be +2.

Starting from y = mx + b,

Replace x with the given 5, y with the given 8 and m with the calculated +2:

8 = 2(5) + b, or

b = -2

and then the desired equation is

y = 2x - 2

Step-by-step explanation:

ax +by+c

i.e. 1x +1/8y +4

therefore a=1 b=1/8 c=4

Answer: A

Step-by-step explanation: becuase Jonny has 12 apples left

The intervals are nested, each subsequent interval is contained within the previous one. Mathematically, this means I₁ ⊇ I₂ ⊇ ... In ⊇ ... . Therefore, we have:

1. I₁ ⊇ I₂ implies [a₁; b₁] ⊇ [a₂; b₂], which means a₁ ≤ a₂ and b₁ ≥ b₂.
2. I₂ ⊇ I₃ implies [a₂; b₂] ⊇ [a₃; b₃], which means a₂ ≤ a₃ and b₂ ≥ b₃.

To show that a1 ≤ a2 ≤ ... ≤ an ≤ ..., we need to use the fact that the sequence of intervals is nested, meaning that each interval is contained within the next one.

First, we know that I1 contains I2, so every point in I2 is also in I1. That means that a1 ≤ a2 and b1 ≥ b2.

Now consider I2 and I3. Again, every point in I3 is also in I2, so a2 ≤ a3 and b2 ≥ b3.

We can continue this process for all the intervals in the sequence, until we reach In. So we have:

a1 ≤ a2 ≤ ... ≤ an-1 ≤ an

and

b1 ≥ b2 ≥ ... ≥ bn-1 ≥ bn

This shows that the endpoints of the intervals are ordered in the same way.

Given that I₁ ⊇ I₂ ⊇ ... In ⊇ ... is a nested sequence of intervals and In = [an; bn], we can show that a₁ ≤ a₂ ≤ ... ≤ an ≤ ... and b₁ ≥ b₂ ≥ ... ≥ bn ≥ ... as follows:

Since the intervals are nested, each subsequent interval is contained within the previous one. Mathematically, this means I₁ ⊇ I₂ ⊇ ... In ⊇ ... . Therefore, we have:

1. I₁ ⊇ I₂ implies [a₁; b₁] ⊇ [a₂; b₂], which means a₁ ≤ a₂ and b₁ ≥ b₂.
2. I₂ ⊇ I₃ implies [a₂; b₂] ⊇ [a₃; b₃], which means a₂ ≤ a₃ and b₂ ≥ b₃.

Continuing this pattern for all intervals in the sequence, we can conclude that a₁ ≤ a₂ ≤ ... ≤ an ≤ ... and b₁ ≥ b₂ ≥ ... ≥ bn ≥ ... .

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The first mistake Bailey made was in the reason he gave for the first statement. he should have written: reflexive property.

The reflexive property of congruence states that an angle will always be equal or congruent to itself.

For example, given an angle, ∠B, therefore:

∠B ≅ ∠B

In the diagram given, based on the reflexive property of congruence, ∠F ≅ ∠F.

Therefore, the first mistake Bailey made was in the reason he gave for the first statement. he should have written: reflexive property.

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Answer:

D. bailey did not match the corresponding bla bla bla. correct answer on khan, and screenshot proof below.

Step-by-step explanation:

The minimum value of f(x, y, z) subject to the constraint is 1/4, and the maximum value is 241/256.

To solve this problem, we will use the method of Lagrange multipliers. First, we define the Lagrangian function as follows:

L(x, y, z, λ) = x^2 + y^2 + z - λ(x^2 + 2y^2 + 4z^2 - 1)

Taking the partial derivatives with respect to x, y, z, and λ, we get:

∂L/∂x = 2x - 2λx = 0

∂L/∂y = 2y - 4λy = 0

∂L/∂z = 1 - 8λz = 0

∂L/∂λ = x^2 + 2y^2 + 4z^2 - 1 = 0

From the first equation, we can see that either x = 0 or λ = 1. If x = 0, then the fourth equation implies that 2y^2 + 4z^2 = 1. This gives us a family of ellipses in the yz-plane, with the minimum and maximum values of f(x, y, z) occurring at the endpoints of the major axis. Since the major axis is aligned with the z-axis, we have z = ±1/2 and y = 0. Plugging these values into f(x, y, z), we get:

f(0, 0, 1/2) = f(0, 0, -1/2) = 1/4

If λ = 1, then the second equation implies that y = 0, and the third equation implies that z = 1/8. Plugging these values into the fourth equation, we get x^2 = 1 - 2(0) - 4(1/8)^2 = 15/16, so x = ±√(15)/4. Plugging these values into f(x, y, z), we get:

f(√(15)/4, 0, 1/8) = f(-√(15)/4, 0, 1/8) = 15/16 + 1/64 = 241/256

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To find the optimal solution for the given linear program using the graphical solution procedure, we start by graphing the feasible region determined by the constraints.

The constraints are:

1A + 2B ≤ 8

5A + 3B ≤ 15

A ≥ 0

B ≥ 0 By plotting the lines corresponding to these constraints and shading the region that satisfies all the inequalities, we can identify the feasible region.Next, we need to determine the objective function's value at the vertices of the feasible region. The objective function is Max 5A + 9B, which represents the value we want to maximize.

We evaluate the objective function at each vertex of the feasible region and determine the vertex that yields the maximum value. The vertex with the highest objective function value represents the optimal solution.Calculating the objective function at each vertex and comparing the values, we can determine optimal solution and its corresponding objective function value.

However, since I am unable to provide visual aids or perform graphical calculations in this text-based format, I recommend using graphing software or manually graphing the feasible region to determine the optimal solution and its corresponding objective function value.

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The derivative d/dx of the integral ∫sin(t³)dt with the limits [0, x²] is 3x⁴cos(x²)³.

To answer your question, we'll find the derivative d/dx of the integral ∫sin(t³)dt with the limits [0, x²]. We will use the Fundamental Theorem of Calculus and the chain rule in our solution.

Step 1: Apply the Fundamental Theorem of Calculus
The Fundamental Theorem of Calculus states that if F(x) = ∫f(t)dt with the limits [a, x], then F'(x) = f(x). In our case, f(t) = sin(t³).

Step 2: Apply the chain rule
Now we need to find the derivative d/dx of sin(t³) evaluated at x². To do this, we will use the chain rule, which states that the derivative of a composite function is the derivative of the outer function times the derivative of the inner function.

So, let's find the derivative of sin(t³) with respect to t:
d/dt(sin(t³)) = cos(t³) * d/dt(t³)

Now, find the derivative of t³ with respect to t:
d/dt(t³) = 3t²

Step 3: Combine and evaluate at x²
d/dx(sin(x²)³) = cos(x²)³ * 3(x²)²

Step 4: Simplify
d/dx(sin(x²)³) = 3x⁴cos(x²)³

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The value of the integral (9x + 9y) da over the region r is approximately 14.0625.

To evaluate the given integral using a transformation, we can use the concept of a double integral over a region in the xy-plane.

First, let's define the transformation T from the uv-plane to the xy-plane, where x = 9u and y = 9v. This transformation scales the coordinates by a factor of 9.

Next, let's find the Jacobian determinant of the transformation. The Jacobian determinant of T is given by the absolute value of the determinant of the matrix of partial derivatives of x and y with respect to u and v. In this case, the matrix is:

J(T) = |[∂x/∂u  ∂x/∂v]|
           |[∂y/∂u  ∂y/∂v]|

Taking the partial derivatives, we have:

∂x/∂u = 9   and   ∂x/∂v = 0
∂y/∂u = 0   and   ∂y/∂v = 9

Therefore, the Jacobian determinant is:

J(T) = |[9  0]|
           |[0  9]|

Taking the determinant, we have:

J(T) = (9)(9) - (0)(0) = 81

Now, we can evaluate the integral by transforming it into the uv-plane. The integral becomes:

∬(9x + 9y) dA = ∬(9(9u) + 9(9v))(J(T)) dA

Since x = 9u and y = 9v, we can substitute these expressions into the integral:

∬(9(9u) + 9(9v))(J(T)) dA = ∬(81u + 81v)(81) dA

Now, we need to find the limits of integration in the uv-plane. The region r in the xy-plane corresponds to a parallelogram in the uv-plane with vertices (-1/9, 2/9), (1/9, -2/9), (3/9, 0), and (1/9, 4/9).

Using these vertices, we can determine the limits of integration for u and v:

u ranges from -1/9 to 1/9
v ranges from 2/9 to 4/9

Therefore, the integral becomes:

∬(81u + 81v)(81) dA = ∫[u=-1/9 to 1/9] ∫[v=2/9 to 4/9] (81u + 81v)(81) dudv

Now, we can evaluate this double integral:

∫[u=-1/9 to 1/9] ∫[v=2/9 to 4/9] (81u + 81v)(81) dudv = (81)(81) ∫[u=-1/9 to 1/9] ∫[v=2/9 to 4/9] (u + v) dudv

Evaluating the inner integral with respect to u, we have:

(81)(81) ∫[u=-1/9 to 1/9] (1/2)u^2 + vu [v=2/9 to 4/9] dv

Simplifying further, we get:

(81)(81) ∫[u=-1/9 to 1/9] (1/2)u^2 + (vu)(4/9 - 2/9) dv

Now, we can evaluate the inner integral with respect to v:

(81)(81) ∫[u=-1/9 to 1/9] (1/2)u^2 + (vu)(4/9 - 2/9) dv = (81)(81) ∫[u=-1/9 to 1/9] (1/2)u^2 + (vu)(2/9) dv

Simplifying further, we have:

(81)(81) ∫[u=-1/9 to 1/9] (1/2)u^2 + (2/9)u(2/9) dv

Now, we can evaluate the inner integral with respect to v:

(81)(81) ∫[u=-1/9 to 1/9] (1/2)u^2 + (2/9)u(2/9) dv = (81)(81) ∫[u=-1/9 to 1/9] (1/2)u^2 + (4/81)u^2 du

Combining like terms, we get:

(81)(81) ∫[u=-1/9 to 1/9] (1/2 + 4/81)u^2 du

Simplifying further, we have:

(81)(81) ∫[u=-1/9 to 1/9] (85/162)u^2 du

Now, we can evaluate the integral:

(81)(81) ∫[u=-1/9 to 1/9] (85/162)u^2 du = (81)(81)(85/162) ∫[u=-1/9 to 1/9] u^2 du

Integrating u^2 with respect to u, we get:

(81)(81)(85/162) ∫[u=-1/9 to 1/9] u^2 du = (81)(81)(85/162) [u^3/3] from -1/9 to 1/9

Plugging in the limits of integration, we have:

(81)(81)(85/162) [(1/9)^3/3 - (-1/9)^3/3]

Simplifying further, we get:

(81)(81)(85/162) [(1/729)/3 - (-1/729)/3] = (81)(81)(85/162) [2/729]/3

Now, we can simplify this expression:

(81)(81)(85/162) [2/729]/3 = (81)(81)(85/162) (2/729)(1/3)

Finally, evaluating this expression, we get:

(81)(81)(85/162) (2/729)(1/3) ≈ 14.0625

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Answer:

A. -55

Step-by-step explanation:

f(x)=-2x^2+4x-7

f(-4)= -2(-4)^2+4(-4)-7

= -2(16)-18-7

= -32-16-7

= -55

Answer:

-55

Step-by-step explanation:

f(x) = −2x^2 + 4x − 7

Let x = -4

f(-4) = −2(-4)^2 + 4(-4) − 7

      = -2 (16) -16 -7

      = -32 -16 -7

      =-55

In this case, the monthly payment for the car loan would be approximately $1,299.13.

To calculate the monthly payment for a bank loan using Excel, you can use the PMT function.

Here's how to do it:

1. Open Excel and create a new spreadsheet.

2. In cell A1, enter the loan amount: -40000 (negative because it's an outgoing payment).

3. In cell A2, enter the annual interest rate: 9%.

4. In cell A3, enter the loan duration in years: 3.

5. In cell A4, enter the formula to calculate the monthly payment: =PMT(A2/12, A3*12, A1).

6. The result in cell A4 will be the monthly payment.

So, in this case, the monthly payment for the car loan would be approximately $1,299.13.

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A set of reflections that would carry hexagon ABCDEF onto itself would be "x-axis, y=x, x-axis" or "y=x, x-axis, y-axis".

What is a combination of reflections?

Combination of Two Reflections. A point or object once reflected can further be reflected to form a new image. The axes of these reflections may be parallel to each other or they intersect each other at a point.

Given the coordinates of hexagon ABCDEF, it can be determined that a set of reflections that would carry the hexagon onto itself would be a combination of reflections over the x-axis and y-axis.

One possibility would be to reflect over the x-axis, then reflect over the y=x line, and finally reflect over the x-axis again.

This would take the hexagon from its original position to itself.

Another possibility would be to reflect over the y = x line, then reflect over the x-axis, and finally reflect over the y-axis.

This would also take the hexagon from its original position to itself.

Hence, a set of reflections that would carry hexagon ABCDEF onto itself would be "x-axis, y=x, x-axis" or "y=x, x-axis, y-axis".

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Since we've reached a sequence of only zeros, the original sequence is graphical.
To sketch such a graph, label the vertices as A, B, C, D, E, and F with degrees 5, 5, 4, 3, 2, and 1 respectively. Then connect the vertices according to their degrees:
1. Connect A to B, C, D, E, and F.
2. Connect B to C, D, E, and F.
3. Connect C to D, E, and F.
4. Connect D to E.

Yes, the sequence (5, 5, 4, 3, 2, 1) is graphical. To show this, we can use the Havel-Hakimi algorithm:

1. Sort the sequence in non-increasing order: (5, 5, 4, 3, 2, 1)
2. Take the first element (5) and remove it from the sequence.
3. Subtract 1 from the next 5 elements (giving us (4, 4, 3, 2, 1))
4. Sort the resulting sequence (4, 4, 3, 2, 1) in non-increasing order
5. Repeat steps 2-4 until we have a sequence of all 0's or we encounter a negative number.

Using this algorithm, we can see that the sequence (5, 5, 4, 3, 2, 1) is graphical. The resulting graph can be sketched as follows:

- Start with two vertices (1 and 2) each with a degree 5
- Connect each of these vertices to a new vertex (3 and 4) with degree 4
- Connect vertex 3 to a new vertex (5) with degree 3
- Connect vertex 5 to a new vertex (6) with degree 2
- Connect vertex 6 to a new vertex (7) with degree 1

The resulting graph has a degree sequence (5, 5, 4, 3, 2, 1) and is shown below:

```
    1 --- 3
   /     /
  /     /
 2 --- 4
      |
      |
      5 --- 6 --- 7
```

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Answer:

y= -7x+7

Step-by-step explanation:

y= mx+b

y= slope x+ y intercept

The equation of the line having the slope -7 and y-intercept  is 7 is: y = -7x + 7

A straight line's equation is a relationship between its x and y coordinates, and it is written as y = mx + c, where m is the line's slope and c is its y-intercept.

We are given that the slope m is -7,

and the line crosses the y-axis at 7.

so the value of c = 7

Therefore, we can substitute these values into the slope-intercept form to get:

y = -7x + 7

So the equation of the line is y = -7x + 7.

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The adult weight of the puppy calculated using percentage is 45 pounds .

In mathematics, a value or ratio that can be expressed as a simple fraction of 100 is known as a percentage.

When determining a percentage of a number, we should first divide it by 100 before multiplying the result by 100.

As a result, the proportion refers to a component per 100. The word percent denotes a percentage of 100.

It is represented by the symbol "%." Percentages can also be written as decimals or fractions, like in 0.6%, 0.25%, etc.

Academic grades are calculated using percentages for every subject. Ram, for example, received a 78% on his qualifying exam.

The weight of the puppy is 9 pounds.

This is 20% of the adult weight.

Let the adult weight be x.

therefore 20% of x = 9

Calculating we get  x = 45 pounds

Hence the adult weight of the puppy is 45 pounds.

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