Find the coordinates of the midpoint between the two points.

(3, 1) and (-9, -7)

Please help?

In Korea, tofu is typically offered during breakfast.

Describe breakfast.

The first meal of the day, known as breakfast, is often had in the morning. After an overnight fast, it is a crucial meal that gives the body and brain fuel. Protein and carbs are generally found in breakfast foods such eggs, bacon, oatmeal, toast, pancakes, yoghurt, cereal, and fruits. A nutritious breakfast may boost energy levels, jump-start the metabolism, and enhance focus and memory. A nutritious breakfast can also aid in lowering mid-day snacking and preventing overeating in the evening. Make sure to incorporate breakfast in your daily schedule since eating breakfast is crucial to living a healthy lifestyle.

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Answer:

hfhufittitt748474uuttioe707po5i5tii5i4tio5

Answer:

70ml

Step-by-step explanation:

concentrate is half of water ( 140/2=70)

3 parts of 70ml   in total    (210ml )  

2 parts of water-----------70+70 of water= 140

1 part of concentrate 70 of concentrate

By using normal distribution of probability, it is obtained that

92.4% of phone are eligible for free gift

What is normal distribution of probability?

Normal distribution of probability is the continuous type probability distribution whose probability density function is given by

P(X > x) = \(\frac{1}{\sigma \sqrt{2 \pi}}e^\frac{-z^2}{2}\)

where \(z = \frac{x - \mu}{\sigma}\)

\(\mu\) is the mean and \(\sigma\) is the standard deviation

Here it is given that the prices of the cell phones manufactured by Ahmadi are normally distributed

Mean = $98

Standard deviation = 12

P(x \(\geq\) 81.8) = P(z \(\geq\) \(\frac{81.8 - 98}{12}\)) = P(z \(\geq\)  -1.35) = 0 .924

So 92.4% of phone are eligible for free gift

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The expression 8(x+4) is a product between 8 and (x+4), which is a number (8) and a sum.

Then, it correspond to Option B: The product of a number and a sum.

Answer:

\(\frac{25}{1000}\) = 0.025

\(\frac{20}{50}\) = 0.4

\(\frac{3}{50}\) = 0.06

\(\frac{2}{3}\) = 0.(66) or 0.66666666666666666

Answer:

5/6

Step-by-step explanation:

it's a 15:18 ratio, just needs simplification

Answer:

Step-by-step explanation:

Use sum of internal angles formula 180°(n - 2)

For regular 24-gon it is:

Each angle would be:

z >1 for the given inequality for x.

To solve the following inequality for x.

-26 + 13z + 2 > 2 132

Since there is no x in this I'm assuming we are looking for z

Step 1: Simplify both sides

15r - 26 > -13z + 2

Step 2: Add 13z to both sides

15r - 26 + 13z > -13z + 2 + 13z

28 - 26 > 2

Step 3: Add 26 on both sides

28 - 26 + 26 > 2 + 26

28z > 28

Step 4: Divide both sides by 28z / 28 > 28 / 28

z > 1

Hence the answer is z >1 for the given inequality for x.

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To find the equation for the plane through the point p0=(7,7,3) and normal to the vector n=6i+2j+7k, we can use the formula for the equation of a plane which is Ax + By + Cz = D.

The equation of the plane through the point p0=(7,7,3) and normal to the vector n=6i+2j+7k is:
6x + 2y + 7z = 77

This is further explained as follows:

The equation of a plane is given by:
Ax + By + Cz = D
where A, B, and C are the components of the normal vector, and D is a constant. To find A, B, and C, we can use the components of the given normal vector n=6i+2j+7k.

Therefore we have:
A = 6, B = 2, C = 7
Now, substitute the values of A, B, and C into the equation:
6x + 2y + 7z = D

To find the value of D, we can substitute the coordinates of the given point p0=(7,7,3) into the equation and solve for D. So, we have:
6(7) + 2(7) + 7(3) = D
42 + 14 + 21 = D
D = 77

Therefore, the equation of the plane through the point p0=(7,7,3) and normal to the vector n=6i+2j+7k is:

6x + 2y + 7z = 77

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1. True. The PESTLE framework categorizes environmental influences into six main types: Political, Economic, Sociocultural, Technological, Legal, and Environmental factors.

These factors help analyze the external macro-environmental forces that can impact an organization's strategies and operations. 2. False. The PESTLE framework analyzes the macro-environmental factors and not the micro-environment of organizations. The micro-environment is examined through other frameworks like Porter's Five Forces, which focus on specific industry dynamics and competitive factors.

3. True. Economic forces, such as inflation, interest rates, exchange rates, and economic growth, are one of the types included in the PESTLE framework. Economic factors play a significant role in shaping business decisions and strategies.

4. False. An organization's strengths are not part of the types studied in the PESTLE framework. Strengths, weaknesses, opportunities, and threats (SWOT) analysis is a separate framework used to assess internal strengths and weaknesses of an organization.

5. True. The PESTLE framework provides a comprehensive list of influences on the possible success or failure of strategies. By considering the political, economic, sociocultural, technological, legal, and environmental factors, organizations can gain insights into the external forces that may impact their strategies and make informed decisions.

The PESTLE framework categorizes environmental influences into six main types, including political, economic, sociocultural, technological, legal, and environmental factors. It analyzes the macro-environmental forces, not the micro-environment of organizations. Economic forces are one of the types studied in the framework, while an organization's strengths are not included. The framework provides a comprehensive list of influences on the success or failure of strategies, allowing organizations to consider various external factors in their decision-making process.

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Answer:

8/9

Step-by-step explanation:

-1/2-(-5/9)

solution.

-2-(-5/9)

3/9 + 5/9

5+3/9

ans=8/9

To analyze the investment decision between Machine A and Machine B, various financial metrics are calculated. The payback period, accounting rate of return, net present value, and internal rate of return are determined. Based on these calculations, the suitable machine is chosen, considering the payback period, cost of capital, and other factors.

The payback period of both machines is calculated by determining the time required to recover the initial investment. It is expressed in years, months, and days. The machine with the shorter payback period indicates a faster return on investment.
Using the payback period as the sole criterion for decision-making, the machine with the shorter payback period should be chosen. However, it's important to note that the payback period does not consider the time value of money or the profitability beyond the payback period.
The accounting rate of return on average investment for Machine A is calculated by dividing the average annual profit by the average investment cost, expressed to two decimal places. This metric provides an indication of the profitability of the investment.
The net present value (NPV) of each machine is calculated by discounting the expected cash flows using the company's cost of capital (12%). NPV represents the present value of the expected cash inflows and outflows associated with the investment. The machine with the higher NPV indicates a higher value addition to the company.
The internal rate of return (IRR) of Machine B is determined using interpolation. IRR is the discount rate that equates the present value of expected cash flows to the initial investment. It indicates the profitability and return on investment of Machine B.
Considering all these factors and the company's cost of capital, a comprehensive evaluation can be made to determine the most suitable machine for investment.

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To evaluate the line integral ∫C F · dr, where F(x, y) = ⟨-9, 2y⟩ and C is the half-circle x^2 + y^2 = 1 with y ≥ 0, oriented counterclockwise, we can parameterize the curve C and then compute the line integral.

Parametrization of the curve C:

Let's parameterize the half-circle C in terms of the angle θ:

x = cos(θ)

y = sin(θ)

To find the limits of integration for θ, we note that the half-circle ranges from θ = 0 to θ = π.

Now, we can calculate dr using the parametrization:

dr = ⟨dx, dy⟩ = ⟨-sin(θ) dθ, cos(θ) dθ⟩

Substituting the values of x, y, and dr into F, we get:

F(x, y) = ⟨-9, 2y⟩ = ⟨-9, 2sin(θ)⟩

Now, we can calculate the line integral using the parameterization and the dot product:

∫C F · dr = ∫θ=0 to π (-9)(-sin(θ)) dθ + ∫θ=0 to π (2sin(θ))(cos(θ)) dθ

Simplifying, we have:

∫C F · dr = 9∫θ=0 to π sin(θ) dθ + 2∫θ=0 to π sin(θ)cos(θ) dθ

Integrating each term separately:

∫θ=0 to π sin(θ) dθ = [-cos(θ)] evaluated from θ=0 to π = [-cos(π)] - [-cos(0)] = 1 - (-1) = 2

∫θ=0 to π sin(θ)cos(θ) dθ = [-cos^2(θ)/2] evaluated from θ=0 to π = [-cos^2(π)/2] - [-cos^2(0)/2] = -(-1/2) - (-1/2) = 0

Therefore, the line integral ∫C F · dr = 9(2) + 2(0) = 18.

The value of the line integral ∫C F · dr is 18.

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Answer:

Step-by-step explanation:

x     y=x-3        (x,y)

0     y= 0-3      (0, -3)

1      y = 1-3       (1, -2)

2     y = 2 - 3     (2, -1)

3     y = 3 - 3     (3, 0)

Answer:

3(2x+1)( \(x }\)-2)(x+2)

Step-by-step explanation:

3(2x+1)( \(x }\)-2)(x+2)

3(2x+1)( \(x^{2}\)-4)

(2x+1)(3\(x^{2}\)-12)

The value of y is multiplied by 6 when x is divided by 6

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

y = 3/x

Also, from the question we understand that

x is divied by 6

This means that the new equation is

y = 3/(x/6)

Evaluate

y = 6 * 3/x

This means that the new value of y is  multiplied by 6

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Answer:

The 45th term is equal to -209.

Step-by-step explanation:

I got stuck on this question for six attempts. Therefore I started trying other methods. I started with a10=1 and then subtracted 6 to get a11=-5. I continued this process until I reached a45=-209

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The 45th term for the arithmetic sequence is -209.

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.

The explicit formula for any arithmetic series is given by the formula,

aₙ = a₁ + (n-1)d

where d is the difference and a₁ is the first term of the sequence.

Given that the 10th term of the arithmetic series is 1, while the common difference of the arithmetic series is -6. Therefore, 10th term of the series can also be written as,

aₙ = a₁+(n-1)d

1 = a₁+(10-1)(-6)

1 = a₁ + (9)(-6)

1 = a₁ - 54

a₁ = 55

Now, the 45th term for the arithmetic sequence is,

aₙ = a₁ + (n-1)d

a₄₅ = 55 + (45-1)(-6)

a₄₅ = 55 - 264

a₄₅ = -209

Hence, the 45th term for the arithmetic sequence is -209.

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Answer:

  5, 6, 7, 8

Step-by-step explanation:

Let x represent the 2nd number. Then x+1 represents the third number, and the given relation is ...

  2(x+1) -x = 8

  x +2 = 8

  x = 6

So, the numbers are 5, 6, 7, 8.

_____

Check

  2(7) -6 = 8 . . . . true

Answer:

4618.1 ft³

Step-by-step explanation:

Volume of the cone:

\(V_{cone} = \frac13 \pi r^2 h\)

\(V_{cone} = \frac13 \cdot \pi \cdot 49 \cdot 12 = 196\pi\)

Volume of the cilinder:

\(V_{cilinder} = \pi r^2 h\)

\(V_{cilinder} = \pi \cdot 49 \cdot 22 = 1078\pi\)

Total volume is 2*Vcone + Vcilinder = 1470π ≈ 4618.1 ft³

Answer:

A, all three angles of a triangle equal 180

Answer:

b. x + 40 = 90

Step-by-step explanation:

This is a right triangle, so we already know one of the angles is 90 degrees. The other angles combine to make the other 90 degrees. So, we have to figure out what the other angle is, as the second one is 40 degrees.  To figure that out, use the equation x + 40 = 90. (This is extra, but x is 50, right?)

As per the number of gym machines, the type of data is b. quantitative discrete data.

A discrete quantitative variable has a distinct quantitative meaning but can only take particular integer values rather than any value within a period. The number of needle sticks, the number of births, and the number of hospitalisations are a few examples of discrete numeric factors.

Similarly to that, the information given in the question refers to the quantity of gym equipment, which qualifies as quantitative data because it is a numerical assessment. Furthermore, rather than representing a continuous range of values, the data is discrete, which means that it reflects a limited collection of whole integers such as 10, 12, 15, 20, and 22. These numbers are the total number of gym machines that are available.

Complete Question:

the data are the number of machines in a gym. you sample five gyms. one gym has 12 machines, one gym has 15 machines, one gym has ten machines, one gym has 22 machines, and the other gym has 20 machines. what type of data is this?

a. Qualitative data

b. Quantitative discrete data

c. Discreet data

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The non linear equation is Option B.

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the non linear equation be represented as A

Now , the value of A is

The equation can be calculated as a linear equation if the slope of the point remains the same

So , when the slope m is constant , it will be a linear equation

a)

Let the first point be P ( 2 , 5 )

Let the second point be Q ( 4 , 17 )

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 17 - 5 ) / ( 4 - 2 )

Slope m = 12 / 2

Slope m = 6

Let the third point be R ( 7 , 35 )

Let the fourth point be S ( 13 , 47 )

Now , the slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope m = ( 47 - 35 ) / ( 13 - 7 )

Slope m = 12 / 6

Slope m = 2

Hence , the slope between the points is not the same and the equation of line will not be a linear equation

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The three-month moving average is calculated by adding up the demand for the past three months and dividing the sum by three.

To calculate the forecast for month four, we need to find the average of the demand over the past three months: 700, 750, and 900.

Step 1: Add up the demand for the past three months:
700 + 750 + 900 = 2350

Step 2: Divide the sum by three:
2350 / 3 = 783.33 (rounded to two decimal places)

Therefore, the forecast for month four, based on the three-month moving average, is approximately 783.33.

Keep in mind that the three-month moving average is a method used to smooth out fluctuations in data and provide a trend. It is important to note that this forecast may not accurately capture sudden changes or seasonal variations in demand.

9514 1404 393

Answer:

  5/6 and 0.833...

Step-by-step explanation:

  1/3 = 0.333...  not  0.3

  2/5 = 0.4  not  0.25

  5/6 = 0.833...

  9/10 = 0.9  not  0.09

Answer:

s < -11

Step-by-step explanation:

−3s / −3 > 33 / −3

s<−11

So basically divide both sides by -3, and you should get your answer. Hope this helps!

From the statement, we know that to win the lottery we must choose 5 numbers from the numbers 1 through 172.

a) Assuming that order is unimportant.

To win, we must pick correctly 5 numbers from 1,...,172.

0. For the first number, we have 5 possibilities from 172, so the probability is 5/172,

1. for the second number, we have 4 possibilities from 171, so the probability is 4/171,

2. for the third number, we have 3 possibilities from 170, so the probability is 3/170,

3. for the fourth number, we have 2 possibilities from 169, so the probability is 2/169,

4. for the fifth number, we have 1 possibility from 168, so the probability is 1/168,

To figure out the odds of winning, we multiply together all of the fractional odds of picking each number. Multiplying all the probabilities we get:

So the probability is 1 in 1183009464.

b) Assuming that the order matters.

To win, you have to pick the first number right AND the second number right AND the third number right, etc. In the language of statistics, AND usually means to multiply. So, to figure out the odds of winning, we multiply together all of the fractional odds of picking a given number correctly. The probability of selecting correctly:

• the first number is 1/172,

• the second number is 1/171,

• the third number is 1/170,

• the fourth number is 1/169,

• the fifth number is 1/168,

Multiplying all the probabilities we get:

So the probability is 1 in 141961135680.

Answer

1) The probability of winning the lottery by choosing 5 numbers from 1,...,172 if the order is unimportant, is 1 in 1183009464. or:

2) The probability of winning the lottery by choosing 5 numbers from 1,...,172 if the order matters, is 1 in 141961135680, or: