A worker has job offers from two companies. The information below summarizes the job offer from each company.

Company A:

Starting salary of $31,000
Raise of $3000 each year

Company B:

Starting salary of $38,000
Raise of $2000 each year


Part A: Write an equation in terms of n years that can be used to determine the number of years when the salaries would be the same for both companies.

Part B: Use the equation you wrote in part A to determine the number of years it would take for the salaries to be the same for both companies. Use mathematics to support your answer.

Answer:

Step-by-step explanation:

1.

19² = 17² +x²

19² - 17² = x²

√361-289 =x

√72 = 8.5 ≈ x

Area = base*h/2 = 17*8.5/2 ≈ 72.3

Perimeter = 19+17+8.5= 44.5

and so on...

2.

x²= 5² +13²...

A= 5*13/2 =...

P= 5+13+x=...

3.

20² = 10² +x²...

A=10*x/2=...

P=20+10+x=...

4.

x² = 5² +14²...

A=5*14/2 =...

P= 5+14+x = ...

Answer:

1st:Business is an organization or enterprising entity engaged in commercial, industrial or professional activities. Stephenson defines that the regular production or purchase and sale of goods under taken with an objective of earning profit and acquiring wealth through the satisfaction of human wants.

aspects:Marketing, Product Development, Sales, Customer Service, on and on and on

organic fertilizer:An organic fertilizer is a fertilizer that is derived from organic sources, including organic compost, cattle manures, poultry droppings and domestic sewage

advantage:Organic materials and fertilizers improve the soil texture, allowing it to hold water longer, and increase the bacterial and fungal activity in the soil

herbal plant and uses: chamomile

tulsi

Mexican mint

garlic

tumeric

(I will answer other questions,gimme some time pls)

The domain model class diagram is used to illustrate the domain models in object-oriented development. It provides an overview of a system's domain models, the major concepts, and their relationships.

These diagrams are used to give an understanding of the software system's requirements and to guide the system's design process.150 words:What is a domain model class diagram?A domain model class diagram is a type of UML diagram that is used to represent the domain models in object-oriented development.

This diagram is used to depict an overview of a system's domain models, the major concepts, and their relationships. A domain model is a visual representation of the system's domain, which includes the concepts, activities, and relationships between the concepts and activities.

A domain model class diagram can be used to capture the user's requirements and translate them into a software system.The domain model class diagram consists of classes, attributes, associations, and operations. Classes are the fundamental building blocks of the system and define the system's concepts.

Attributes are the properties of the classes, while operations are the actions that can be performed on the classes. Associations are the relationships between the classes, and they define how the classes are connected to one another.

The domain model class diagram provides a clear and concise representation of the system's domain and enables designers and developers to build software systems that meet the user's needs.

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The line plot shows the favorite color of the students in the class. Option A, 9 students liked red or blue.

The line plot presents four columns with red, blue, orange, and yellow colors at the bottom. The number of students liking the color is represented by the x variable. The line plot presents five x in the column of red and four x in the column of blue. Therefore, a total number of students liking the color red and blue are option 9.

A line plot or line chart presents a chart along the number line. Line dots are often used in the line chart but variables can be presented by alphabet as well. It presents the frequency of the number of times the variable is presented in the data. If the data is big in numbers, the legend is used to present the variable. For instance, the legend of the line plot is x. Therefore, x = 5 students.

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Answer:

A

Step-by-step explanation:

The series can be rewritten using summation notation as: ∑(10n + 3) from n = 1 to 13

In the given series, each term is obtained by adding 10 to the previous term. So, we can write the nth term as 10n + 3, where n represents the position of the term in the series.

Using the summation notation, we can write the sum of the series as the sum of the nth terms from n = 1 to 13.
Therefore, the summation notation is:

∑(10n + 3) from n = 1 to 13

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Answer:

x= 15

Step-by-step explanation:

Step 1- Subtract 25 to both sides.

5x+25= 100

    -25    -25

Step 2- Divide both sides by 5.

5x= 75

5     5

x= 15

The value of x for the equation 5x + 25 = 100 is 15.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

5x + 25 = 4 is an equation

We have,

5x + 25 = 100

Subtract 25 on both sides.

5x = 100 - 25

5x = 75

Divide both sides by 5.

x = 15

Thus,

The value of x is 15.

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Answer:

$16.50

Step-by-step explanation:

$27.50/5=5.5

5.5*3=16.5

Answer:

What we can do is calculating what one bag cost. If we know that 5 cost 27.50 dollars, to know how much does one cost we only divide:

27.50/5 = 5.50 dollars

Now, we know how much does one bag cost, so we multiply it by three:

5.50 * 3 = 16.50

Now, we know 3 bags cost 16.5 dollars

Answer:

180

Step-by-step explanation:

A 3-digit number cannot start with 0, so the leftmost digit is a choice of 6 digits out of the 7. The middle digit can be chosen from all 7 digits minus the one already used, so there are 6 choices. The right digit can be chosen from 5.

6 × 6 × 5 = .180

The number of three-digit numbers that can be formed from the digits 0, 1, 2, 3, 4, 5, and 6 is 180.

This can be calculated by finding the number of element availabe at first place which is 6 excluding 0 than for second position 6 as first number is excluded and 0 is added and for the last positon the number of possibe combination is 5 as 2 digits are already used.

The final answer is 6*6*5 = 180

so count of 3 digit numbers that can be formed by the given set of digit without repetetion allowed is  180

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Answer:

(-4, -17), (-3, -10), (-2,5), (-1,2)

All the coordinates are represent linear function.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The coordinates are,

⇒ (-4, -12), (-3,-10), (-2, -8), (-1,-6)

⇒ (-4, -17), (-3, -10), (-2,5), (-1,2)

⇒ (1, -7), (2, -10), (3, -13), (4, -16)

⇒ (1, 1), (2, 4), (3, 7), (4, 10)

Now,

We know that;

A relation between a set of inputs having exactly one output each is called a linear function.

Clearly, All the coordinate have exactly one output for every input.

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To find the limit of the sequence as n approaches infinity, we need to find the value of lim(n → ∞) 4n² + 5n + 1 Using L'Hopital's rule, we get:lim(n → ∞) 4n² + 5n + 1= lim(n → ∞) [8n + 5]= ∞Hence, the limit of the sequence as n approaches infinity is infinity.

The given sequence is 2n² + 3n + 2n² + 2n + 1. We need to compute the first, 15th, 22nd, and 51st term of the sequence and approximate the values to 4 decimal places. We also need to find the limit of the sequence as n approaches infinity.Solution:(a) We have the sequence 2n² + 3n + 2n² + 2n + 1. This can be simplified as 4n² + 5n + 1.Using this, we can find the first four terms of the sequence as follows:First term, n

= 1T₁

= 4(1²) + 5(1) + 1

= 10 Second term, n

= 15T₁₅

= 4(15²) + 5(15) + 1

= 916 Third term, n

= 22T₂₂

= 4(22²) + 5(22) + 1

= 2213 Fourth term, n

= 51T₅₁

= 4(51²) + 5(51) + 1

= 5356(b) We are given the sequence 2n² + 3n + 2n² + 2n + 1. This can be simplified as 4n² + 5n + 1.To find the limit of the sequence as n approaches infinity, we need to find the value of lim(n → ∞) 4n² + 5n + 1 Using L'Hopital's rule, we get:lim(n → ∞) 4n² + 5n + 1

= lim(n → ∞) [8n + 5]

= ∞Hence, the limit of the sequence as n approaches infinity is infinity.

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Based on your question about the sampling distributions of the sample mean for samples of two different sizes, I will provide an answer using the terms you requested.
1. The Central Limit Theorem (CLT) states that the distribution of the sample mean approaches a normal distribution as the sample size increases, regardless of the shape of the original population.
2. Sampling distributions for larger sample sizes tend to be more tightly clustered around the population mean and have a smaller standard error compared to those with smaller sample sizes.
Now, let's analyze the two graphs:
Graph i: This graph represents a sampling distribution with a wider spread and a larger standard error.
Graph ii: This graph represents a sampling distribution with a narrower spread and a smaller standard error.
Based on the CLT and the properties of the sampling distributions mentioned above, the following statement must be true about the sample sizes:

- The sample size for graph ii is larger than the sample size for graph i. This is because the spread of the sampling distribution is narrower, indicating a smaller standard error and a larger sample size as per the Central Limit Theorem.

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Answer:

40

Step-by-step explanation:

Answer:

Step-by-step explanation:

Which statements about the relationship between the two triangles below are true? Check all that apply.Mark this and return

Answer:

The amount Rizzo has = x = $5.25

The amount Shonda has = y = $6.75

Step-by-step explanation:

Let us represent:

The amount Rizzo has = x

The amount Shonda has = y

Rizzo has $1.50 less in his piggy bank than his sister Shonda.

x = y - 1.50.......Equation 1

If Shonda had $9 more, she would have three times as much money as Rizzo.

y + 9 = 3(x)

y + 9 = 3x..... Equation 2

y = 3x - 9

We substitute 3x - 9 for y in Equation 1

x = y - 1.50.......Equation 1

x = 3x - 9 - 1.50

9 + 1.50 = 3x - x

10.50 = 2x

x = 10.50/2

x = $5.25

Solving for y

y = 3x - 9

y = 3(5.25) - 9

y = $6.75

Therefore:

The amount Rizzo has = x = $5.25

The amount Shonda has = y = $6.75

Answer:

7.1349 * 102

Step-by-step explanation:

Hope this helps. Have a great day!

Answer:

3 x 2=6

Step-by-step explanation:

its 2

Answer:

a ) \(2 / n\),

b ) \(15\)

Step-by-step explanation:

This is a nice and short question we have here.

Given that a bag has n counters, and that one counter is blue, respectively the rest is red, if two counters are taken at random there isn't a definite percentage that one of the counters chosen is red or blue, but there is a fractional representation of this.

We could express n ( number of counters ) to form a probability of 2 / n. As you can see, two counters are taken at random over n counters, and thus we derived this fraction.

a ) \(2 / n\)

____

Now we have this second part -

\(2 / n = 2 / 16,\\16 - 1 = 15\)

Therefore, there are 15 red counters. Hope that helps!

888030 ways are there for teachers to select the students.

What is the combination?

A combination in mathematics is a choice made from a group of separate elements where the order of the selection is irrelevant.

Here, we have

A teacher selects 7 students from her class of 27 students.

We have to find how many ways are there for her to select the students of the chosen students.

The order of selecting the students does not matter here so the number of ways to select 7 students from the class of 27 to work together on a project is:

C(27,7) = 27!/(7!*(27-2)! = 888030

Hence, 888030 ways are there for teachers to select the students.

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Answer:

Step-by-step explanation:

\((1,3)=(x_1,y_1)\\ (5,6)=(x_2,y_2)\\\\d =\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\\\d=\sqrt{\left(5-1\right)^2+\left(6-3\right)^2}\\\\d=\sqrt{(4)^2+(3)^2}\\\\d =\sqrt{16+9}\\\\d=\sqrt{25}\\\\d=\sqrt{5^2}\\\\d =5\)

The distance between points (1,3) and (5,6) will be 5.

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

Given points are (1,3) and (5,6). The distance between the points will be calculated as below:-

D = √ [ ( y₂ - y₁ )² + ( x₂ - x₁ )² ]

Put the value of the coordinates to get the distance.

D = √ [ ( 6  - 3 )² + ( 5 - 1 )² ]

D = √ ( 3 )² + ( 4 )²

D = √ ( 9 + 16 )

D =√25

D = 5

Therefore, the distance between points (1,3) and (5,6) will be 5.

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Explanation

let the surface of the water

Each lap around the track is 400 m.

Therefore, if someone run 2 laps, we have,

Similarly, when someone runs 5 laps, we have,

Therefore when someone runs x laps,

When x= 1,

Answer: Approximately 28.44293 degrees

Work Shown:

\(\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(A) = \frac{TB}{BA}\\\\\tan(A) = \frac{13}{24}\\\\A = \tan^{-1}\left(\frac{13}{24}\right)\\\\A \approx 28.44293^{\circ}\)

Round this value however you need to.

Answer:

Refer to the attachment

Answer:

-114 is less than -1

Answer:

-114 < -1

Step-by-step explanation:

When dealing with two negative numbers, always remember that the larger the number the smaller it is, the smaller the number the larger it is

When drawing horizontal or vertical lines with a triangle, you need to use two triangles at the same time. You can draw lines at angles of 30, 45, 60, and 90 degrees by combining the two.

Additionally, the values of the side lengths of this triangle are always inversely proportional to one another. and x2 is the side length that is in opposition to the 90-degree angle. likewise, the side length that is in opposition to the 90-degree angle is 72. Additionally, the side length at the opposite end of the 45-degree angle is 2.

Tips for Remembering the 30-60-90 Triangle Rule Remembering the ratio 1 is all it takes to remember the 30-60-90 triangle rules: √3 : 2, and being aware that the longest side length is always in opposition to the largest angle (90 degrees) and the shortest side length is always in opposition to the shortest angle (30 degrees).

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Answer:

30 plus 20 is 50

30 minus 20 is 10

Answer:

12.1244 cm

Step-by-step explanation:

14²-7²=147

Square root of 174

The terms ka, kd, P, and n in the Langmuir isotherm equation represent the adsorption rate constant, desorption rate constant, pressure, and a constant related to the adsorption process, respectively.

The Langmuir isotherm is a mathematical model that describes the adsorption behavior of a monolayer of particles on a solid surface in ultra-high vacuum (UHV) conditions. The coverage θ, which represents the fraction of the surface covered by adsorbate particles, is given by the equation θ(P) = 1 + (kd/ka)P\(^(^1^/^n^)\), where ka is the adsorption rate constant, kd is the desorption rate constant, P is the pressure of the gas in the system, and n is a constant related to the adsorption process.

The term ka represents the rate at which particles adsorb onto the surface. It is a measure of how fast the adsorption process occurs. A higher value of ka indicates a faster adsorption rate, meaning that the particles are more likely to stick to the surface.

On the other hand, kd represents the rate at which particles desorb or detach from the surface. It is a measure of how easily the adsorbed particles can be removed from the surface. A higher value of kd indicates a higher desorption rate, suggesting that the adsorbed particles are more likely to detach from the surface.

P refers to the pressure of the gas in the system. The Langmuir isotherm assumes that the adsorption process is directly proportional to the pressure of the gas. As the pressure increases, more gas molecules are available for adsorption, resulting in an increase in the coverage θ.

The parameter n is a constant that characterizes the adsorption process. It reflects the heterogeneity or uniformity of the surface and the interaction between the adsorbate particles and the surface. A value of n equal to 1 indicates a monolayer adsorption process with uniform affinity for all adsorbate particles, while values different from 1 suggest deviations from ideal behavior.

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Answer:

Step-by-step explanation:

the sum of the interior angles of a triangle is 180°

so

9x + 3 + 11x - 21 + 5x - 2 = 180

25x = 180 - 3 + 21 + 2

25x = 200

x = 200 : 25

x = 8

----------------

E = 9 * 8 + 3 = 75°

D = 5 * 8 -2 = 38°

F = 11 * 8 - 21 = 67

-------------------------

check

75 + 37 + 67 = 180°

The required simplified value of the x is 8, as of the given condition.

A figure of the triangle is given, from the measures of the angle we have to determine the value of the x.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
As for the property of a triangle, the sum of the angle is 180,
5x - 2 + 11x -21 + 9x + 3 = 180
25x -20 = 180
25x = 200
x = 8

Thus, the required simplified value of the x is 8.

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