How should a common data source like social media comments be categorized? 1 structured data 2 unstructured data 3 temporary data 4 dirty data

Answer:

x = -3, 6

Step-by-step explanation:

First, add 18 to both sides

x² - 3x - 18 = 0

           + 18    + 18

x² - 3x = 18

Add 9/4 to both sides because that is the square of half of -3

x² - 3x + 9/4 = 18 + 9/4

Multiply both sides by 4 to get rid of the fractions

(x² - 3x + 9/4 = 18 + 9/4)4

4x² - 12x + 9 = 72 + 9 = 81

Factor the left side of the equation

(2x - 3)² = 81

√(2x - 3)² = √81

Because of the square root, this will result in a positive number and a negative number

2x - 3 = 9

2x - 3 = -9

For both equations, add 3 to both sides then divide by 2

2x - 3 = 9

     + 3   +3

2x = 12

2x/2 = 12/2

x = 6

2x - 3 = -9

    + 3   + 3

2x = -6

x = -3

Answer:0.04545454545 or 1/22

Step-by-step explanation:

Answer:

11.5 degrees

Step-by-step explanation:

For future reference trianglecalculator.net is very helpful

The angle of elevation to the nearest tenth of a degree is 11.54°.

An angle of elevation is defined as the angle between the slant horizontal line of an eye and the object in relation to the baseline called the adjacent.

In trigonometry, the angle of elevation can be determined by using the sine rule.

\(\mathbf{sin \ \theta = \dfrac{opp}{hyp} }\)

\(\mathbf{sin \ \theta = \dfrac{5}{25} }\)

\(\mathbf{ \theta =sin^{-1} (0.2)}\)

\(\mathbf{ \theta =11.54^0}\)

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Answer:

4/13

Step-by-step explanation:

We can first find the GCD or GCF of 28 and 91. 91 in its simplest form is 13*7. 28 in its simplest form is 2*2*7. The only common factor they have is 7, so 7 is the GCD. We can divide both by 7 to get \(\frac{4}{13}\)

Answer:

moi moi on that beat

Step-by-step explanation:

click this link for more information

https://genius.com/Rick-astley-never-gonna-give-you-up-lyrics

(a) A scatter plot of the data is shown below.

(b) A quadratic model for the data is y = 5.58x² - 85.53x + 601.96.

(c) Yes, the quadratic model is a good fit for the data.

(d) An estimate of the amounts budgeted for the years 2005 and 2010 are $575 billion and $1123 billion respectively.

(e) Yes, I believe the model is useful for predicting the national defense budgets for years beyond 2004.

In this exercise, we would plot the years on the x-axis of a scatter plot while the defense budget would be plotted on the y-axis of the scatter plot through the use of Microsoft Excel.

Part b.

On the Microsoft Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display a quadratic model of the line of best fit (trend line) on the scatter plot;

y = 5.58x² - 85.53x + 601.96

Part c.

Based on the equation of the line of best fit and the trend line above, we can reasonably infer and logically deduce that the quadratic model a good fit for the data.

Part d.

Based on the equation of the line of best fit above, the amounts budgeted for the year 2005 is given by:

Years, x = 1998 to 2005 = 15 years.

y = 5.58(15)² - 85.53(15) + 601.96

y = 574.51 ≈ $575 billion

Years, x = 1998 to 2010 = 20 years.

y = 5.58(20)² - 85.53(20) + 601.96

y = 1123.36 ≈ $1123 billion

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Missing information:

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

Answer:

y = 4x +5

Slope is 4

Intercept is 5

Step-by-step explanation:

Using, y1= 1 and x1= -1

And, y2 = 13, x2 = 2

\( \frac{y2 - y1}{x2 - x1} = \frac{y - y1}{x - x1} \)

\( \frac{13 - 1}{2 - ( - 1)} = \frac{y - 1}{x - ( - 1)} \)

\( \frac{12}{3} = \frac{y - 1}{x + 1} \)

\(4 = \frac{y - 1}{x + 1} \)

\(y - 1 = 4(x + 1)\)

y-1 = 4x +4

y = 4x +4 +1 = 4x +5

Answer: 45 minutes for BOTH workouts

Step-by-step explanation:

Let time for plan a be x

Let time for plan b be y

On Wednesday

# of clients for plan a are 5

# clients for plan b are 3

On Thursday

# of clients for plan a are 7

# of clients for plan b are 9

Wednesday eqn --> 5x+3y=6

Thursday eqn --> 7x+9y=12

Multiply Wednesday equation by -3 and use elimination to solve

-15x-9y=-18

7x+9y=12

-8x=-6

x=6/8

Reduce: x=3/4 hour

Substitute x=3/4 into Thursday equation

7(3/4)+9y=12

9y=27/4

y=3/4

Therefore, the length of BOTH the plan a and plan b workouts were 45 minutes

6.8 × \(10^{5}\)

Answer:

114

Step-by-step explanation:

Answer:

u r right

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

2x + (2x + 12) + 112 = 180

4x + 124 = 180

4x = 36

x = 9

edit: ignore this answer I got it wrong sorry

Planets around other stars can be detected by carefully measuring the "brightness" or "light intensity" of stars.

When a planet orbits a star, it causes a slight change in the brightness or light intensity of the star. This is known as the transit method of planet detection. As the planet passes in front of the star from our line of sight, it blocks a small portion of the star's light, causing a temporary decrease in its brightness. By carefully measuring these changes in brightness over time, scientists can infer the presence and characteristics of planets orbiting the star. This method has been instrumental in the discovery of numerous exoplanets in recent years.

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Answer:

Parenthesis

Exponents

Multiplication

Division

Addition

Subtract

Step-by-step explanation:

[6-4]+16

[2]+16

18

The final answer is 18

Based on the incremental rate of return analysis, investment option B should be chosen as it has the highest rate of return at 11%, exceeding the MARR of 10%.

In an incremental rate of return analysis, the decision is based on comparing the rates of return of different investment options and selecting the one with the highest return. In this case, the three investment options (A, B, and C) have different initial costs, annual benefits, salvage values, and lifespans.

To determine the rate of return for each option, the annual benefits and salvage values are compared to the initial costs. The rate of return is calculated by dividing the net annual benefit (annual benefit - annual cost) by the initial cost and expressing it as a percentage.

Option A has an initial cost of $100,000, an annual benefit of $20,000, and a salvage value of $35,000. The net annual benefit is $20,000 - $35,000 = -$15,000, resulting in a rate of return of -15% which is lower than the MARR of 10%.

Option B has an initial cost of $110,000, an annual benefit of $35,000, and a salvage value of $45,000. The net annual benefit is $35,000 - $45,000 = -$10,000, resulting in a rate of return of -10% which is higher than the MARR of 10%.

Option C has an initial cost of $120,000, an annual benefit of $40,000, and a salvage value of $27,000. The net annual benefit is $40,000 - $27,000 = $13,000, resulting in a rate of return of 10.83% which is higher than the MARR of 10%.

Based on the incremental rate of return analysis, option B should be chosen as it has the highest rate of return among the three options. It is important to note that the decision is made solely based on financial considerations and does not take into account other factors such as risk or qualitative aspects of the investments.

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The complete question is:

You are presented with three investment possibilities; however, you only have enough money to invest in one (the opportunities are mutually exclusive). The MARR is 10%. Which one should be chosen? Make a decision based on an incremental rate of return analysis. А B C $(100,000) $(110,000) $(120,000) $ 55,000 $ 45,000 $ 27,000 Initial Cost Annual Benefit Salvage Value Life (yrs) ROR $ 20,000$ 35,000 $ 40,000 3 6 6 12% 11% 8%

The equation in slope intercept form is x =4 .

Given:

x = -5

x + 5 = 0

here slope m = ∞.

line equation passes through (4,-3) with m = ∞

-3 = 1/0(4) + c

4 + c = 0

c = -4.

y = (1/0)x - 4

x - 4 = 0

x = 4.

Therefore the equation in slope intercept form is x =4 .

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The power functions among the given options are f(x) = 3⋅10x and f(x) = 8⋅2x.

A power function is a function of the form f(x) = ax^n, where a and n are constants. The variable x is raised to a constant power n, and the coefficient a determines the scale or magnitude of the function.

Among the given options:

- f(x) = 4⋅15x is not a power function because the base of the exponent is not a constant.

- f(x) = 17x√5 and f(x) = 12x√10 are not power functions because they include a square root term, which is not in the form of a constant power.

- f(x) = 3⋅10x and f(x) = 8⋅2x are power functions because they have a constant base (10 and 2, respectively) raised to a power that is a constant (x).

Therefore, the power functions among the given options are f(x) = 3⋅10x and f(x) = 8⋅2x.

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we can conclude that ℘={{1,3},{5,6},{2,4},{7}} is a partition of a={1,2,3,4,5,6,7}.

To determine whether ℘={{1,3},{5,6},{2,4},{7}} is a partition of a={1,2,3,4,5,6,7}, we need to check two things:

1. Each element of a must belong to exactly one set in ℘.
2. The sets in ℘ must be non-empty, pairwise disjoint, and their union must be equal to a.

Let's check these conditions:

1. Each element of a belongs to exactly one set in ℘:

- 1 belongs to {1,3}
- 2 belongs to {2,4}
- 3 belongs to {1,3}
- 4 belongs to {2,4}
- 5 belongs to {5,6}
- 6 belongs to {5,6}
- 7 belongs to {7}

So, each element of a belongs to exactly one set in ℘.

2. The sets in ℘ are non-empty, pairwise disjoint, and their union is a:

- {1,3} and {2,4} are both non-empty and disjoint.
- {5,6} and {7} are both non-empty and disjoint.

- The union of all sets in ℘ is {1,2,3,4,5,6,7}, which is equal to a.

Therefore, we can conclude that ℘={{1,3},{5,6},{2,4},{7}} is a partition of a={1,2,3,4,5,6,7}.

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Step-by-step explanation:

3x + 4 + 7x + 16 = 110

10x = 90

x = 9

therefore, Sam = $31 and Tessa = $79

Topic: Algebraic Equations

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Answer:

Sam: 31

Tessa: 79

Step-by-step explanation:

3x+4+7x+16=110

10x+20=110

10x=110-20

10x=90

x=9

Money Sam saved

=3(9)+4

=27+4

=31

Money Tessa saved

=7(9)+16

=63+16

=79

Answer:

graph a should should be y=-1x+241

graph B should become 4/5x+5

answer C is yes the all represent a portional relationship as it all goes down or up as a slope

Answer:

BF = 18

Step-by-step explanation:

In triangle BCD, H is the Centroid.

Centroid of a triangle divides the median in the ratio 2 : 1.

Therefore, BH : HF = 2 : 1

Let BH = 2x & HF = x

Since, HF = 6.... (given)

So, x = 6

2x = 2*6 = 12

BH = 12

Now,

BF = BH + HF = 12 + 6

BF = 18

Answer:

1 gallon = 16 cups

3 cups per person

32 people

32x3=96/16=6

she needs 6 gallons

Answer:

x=-6 y=-1

Step-by-step explanation:

// Solve equation [2] for the variable  y  

 [2]    y = -x - 7

// Plug this in for variable  y  in equation [1]

  [1]    3x - 2•(-x -7) = -16

  [1]    5x = -30

// Solve equation [1] for the variable  x  

  [1]    5x = - 30  

  [1]    x = - 6  

// By now we know this much :

   x = -6

   y = -x-7

// Use the  x  value to solve for  y  

   y = -(-6)-7 = -1  

Solution :

{x,y} = {-6,-1}

Answer: 1 .x=-1/6y+7/6 (2.x=2/3y+16/3

Step-by-step explanation:

The empirical (68-95-99.7) rule, also known as the three-sigma rule or the standard deviation rule, applies to the bell-shaped distribution. we can estimate that the percentage of 1-mile-long roadways with potholes numbering between 32 and 65 is approximately 95%. is the answer.

The 68-95-99.7 rule gives a rough approximation of the percentage of data values that fall within certain distances from the mean. It states that approximately 68% of the data falls within one standard deviation of the mean, approximately 95% falls within two standard deviations, and approximately 99.7% falls within three standard deviations of the mean. In this question, the mean of the distribution is 43 and the standard deviation is 11.

To find the percentage of 1-mile-long roadways with potholes numbering between 32 and 65, we first need to determine how many standard deviations away from the mean these values are.

Using the formula for z-score (z = (x - µ) / σ), where x is the data value, µ is the mean, and σ is the standard deviation, we get: z for 32 = (32 - 43) / 11 = -1z for 65 = (65 - 43) / 11 = 2

Therefore, 32 is one standard deviation below the mean and 65 is two standard deviations above the mean.

Using the empirical rule, we know that approximately 68% of the data falls within one standard deviation of the mean, and approximately 95% falls within two standard deviations.

Since 32 is within one standard deviation below the mean and 65 is within two standard deviations above the mean, we can estimate that the percentage of 1-mile-long roadways with potholes numbering between 32 and 65 is approximately 68% + 95% = 163%.

However, since the values are outside the normal range, we cannot use the empirical rule to get an accurate percentage.

Therefore, we can estimate that the percentage of 1-mile-long roadways with potholes numbering between 32 and 65 is approximately 95%.

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Answer:

The solution is x = 3 and y = 21

Step-by-step explanation:

Here, we want to solve the system of linear equations, simultaneously

Since we have 2 y

Then we can equate both and that gives;

4x + 9 = 2x + 15

4x-2x = 15-9

2x = 6

x = 6/2

x = 3

To get y, we simply substitute x into any of the equation

That will be;

y = 2(3) + 15

y = 6 + 15

y = 21

The statement many quantitative models of decision making are based on comparing a single measure of effectiveness, generally some form of utility to the decision maker is true. So, the correct optio is option a. true.

Many quantitative models of decision theory, such as Expected Utility Theory and also                                             Multi-Attribute Utility Theory, involve comparing a single measure of effectiveness, typically some form of utility, to the decision maker. This allows for the evaluation and comparison of different options based on their expected outcomes and potential risks.

It helps the decision maker determine the best course of action.

Decision theory is a branch of probability. It is concerned with analytic philosophy. It deals with the decision making processes based on probabilities depending on the various factors and the numerical consequences of the outcome.

Therefore, the statement about the decision theory based on comparing a single measure of effectiveness is true.

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a. b.

Step-by-step explanation:

yan lng po alm ko sorry po

Answer:

i believe so

Step-by-step explanation:

Answer:

c) 10 ten thousand

Step-by-step explanation:

Lakh:

A lakh is a unit measure in the Indian numeric system, and it is equivalent to one hundred thousand(100,000), which is equivalent to 10 ten thousand, as 10*10,000 = 100,000.

This means that the correct answer is given by option c.