what is adding and subtracting rational expressions calculator ?

Answer:

If x > 5, then x + 3 is positive, so we can simplify the absolute value expression |x + 3| by removing the absolute value brackets and keeping the expression inside them:

|x + 3| = x + 3

Therefore, if x > 5, the simplified form of |x + 3| is just x + 3.

Step-by-step explanation:

If x > 5, then x + 3 is positive, so we can simplify the absolute value expression |x + 3| by removing the absolute value brackets and keeping the expression inside them:

|x + 3| = x + 3

Therefore, if x > 5, the simplified form of |x + 3| is just x + 3.

Answer:

1Kg=1000g

sally has 2 kg apples in her bag

so 2kg ×1000g=2000g

Answer:

Pain Pain Pain Pain Pain now where is my brainliest you promised me

Step-by-step explanation:

Answer:

Step-by-step explanation:

If you were to graph this on a coordinate plane, it looks like a log function. It starts at (0, 0) and ends, according to the boundaries given, at x = 8. Because we are to solve for the volume using the shell method, we need x = y equations (which we have, thankfully!) and y intervals. The y-interval is given to us within the problem as 0≤y≤2. If we are to revolve this solid about the line y = 2, the line of rotation is above the solid, so we have to go backwards to get there. That's very important. The formula we need for shells is

\(2\pi\int\limits^2_0 {p(y)h(y)} \, dy\)

where p(y) is the distance between the axis of rotation and the solid, and h(y) is the height of the representative rectangle. Since we are using the shell method, the representative rectangle is parallel to the axis of rotation, so it is 8 units long (or high).

p(y) is the distance from y = 2 to the solid, so p(y) = 2 - y

h(y) is the length of the representative rectangle, so h(y) = 8

and filling in the formula:

\(2\pi\int\limits^2_0 {(2-y)(8)} \, dy\) and simplifying a bit:

\(2\pi\int\limits^2_0 {16-8y} \, dy\)

Integrating we get

\(2\pi[16y-4y^2]\) from 2 to 0. Using the First Fundamental Theorem of Calculus:

\(2\pi[(32-16)-(0)]\) simplifies to

\(2\pi(16)\) which is, finally,

\(V=32 \pi\)

In this exercise we have to use the fundamental calculus theorem to calculate the volume of a rotating cylinder, thus we find that:

\(V=32\pi\)

If you were to graph this on a coordinate plane, it looks like a log function. It starts at (0, 0) and ends, according to the boundaries given, at x = 8. Because we are to solve for the volume using the shell method, we need x = y equations  and y intervals. The y-interval is given to us within the problem as 0≤y≤2. If we are to revolve this solid about the line y = 2, the line of rotation is above the solid, so we have to go backwards to get there. That's very important. The formula we need for shells is

\(2\pi \int\limits^2_0 {p(y)h(y)} \, dy\)

Where p(y) is the distance between the axis of rotation and the solid, and h(y) is the height of the representative rectangle. Since we are using the shell method, the representative rectangle is parallel to the axis of rotation, so it is 8 units long (or high).

and filling in the formula:

\(2\pi \int\limits^2_0 {16-8y} \, dy\)

Integrating we get;

\(2\pi [ 16y-4y^2]\)

Using the First Fundamental Theorem of Calculus:

\(2\pi [ (32-16)-(0)]\)

\(2\pi (16) \\V=32\pi\)

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Answer: C

Step-by-step explanation:

A seasonality index of 0.7 for the summer season means that the company's demand during the summer is 70% of the average demand for all seasons.

The seasonality index is a tool used by businesses to analyze the variations in demand during different periods. It measures how the demand for a particular season compares to the average demand for all seasons. An index value above 1 indicates higher than average demand, while a value below 1 signifies lower than average demand. In this case, a seasonality index of 0.7 implies that the company experiences 30% lower demand during the summer compared to the average demand across all seasons.

The company should be aware of the lower demand during the summer season and plan its production, inventory management, and marketing strategies accordingly to maximize efficiency and profitability.

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Answer:

I know this aint no clever bro cmon that stuff is easy

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

a 270° rotation about point B'

Step-by-step explanation:

The answer above is correct.

The option that is least likely to be an application where statistics will be useful is "Choosing the wording of a corporate policy prohibiting smoking".

This is because statistics are generally used to analyze numerical data and make predictions or decisions based on that data.

However, choosing the wording of a corporate policy does not involve numerical data and therefore would not require the use of statistics.

The other options, such as deciding whether offering Rice Krispies improves restaurant sales, predicting whether an airfare is likely to rise or fall, and designing the most desirable features for a ski pass, all involve the analysis of numerical data and therefore would benefit from the use of statistics.

Statistics is the study of the collection, analysis, interpretation, presentation, and organization of data.

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The value of ∫4kf(x) dx is -3.

To determine the value of ∫4kf(x) dx, we can use the property of definite integrals that states:
∫a^bf(x)dx = ∫a^c f(x)dx + ∫c^bf(x)dx
Using this property, we can rewrite ∫4kf(x) dx as:
∫4kf(x) dx = ∫k^4kf(x) dx + ∫4^9f(x) dx
We are given that ∫k^9f(x) dx = -3 and ∫9^4f(x) dx = -9, so we can substitute these values into the above equation to get:
∫4kf(x) dx = ∫k^4kf(x) dx + ∫4^9f(x) dx
∫4kf(x) dx = (∫k^9f(x) dx - ∫4^9f(x) dx) + ∫4^9f(x) dx
∫4kf(x) dx = ∫k^9f(x) dx
Substituting the given value of ∫k^9f(x) dx = -3, we get:
∫4kf(x) dx = -3
Therefore, the value of ∫4kf(x) dx is -3.

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Answer:

adjacent = 8.66 2dp

hypotenuse = 10

Step-by-step explanation:

to find the adjacent side

tan(60) = x/5

tan(60) × 5 = x

adjacent side length = 8.66 2dp

to find the hypotenuse

8.66^2 + 5 ^2 = sqrt(ans)

hypotenuse = 10

The z-statistic for a 80% confidence interval for the population mean is 1.283

The relationship between a value and a set of values' mean is described by the statistical measurement known as the Z-score. Standard deviations from the mean are used to measure Z-score. A Z-score of zero means the data point's score is the same as the mean score.

We have that to find our  level, that is the subtraction of 1 by the confidence interval divided by 2. So:

α= (1-0.8)/2=0.1

Now, we have to find z in the Z table as such z has a p value of 1-α

That is z with a p value of 1-0.1 =  .9

so z = 1.283

The z-statistic for a 80% confidence interval for the population mean is 1.283

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Answer:

this is question is wrong it you typed it wrong

how come the triangle named XYZ and the angle wxz and if there 2 triangles one must be a failure because there is no triangle which all his angels equals more than 180°

look again and if possible take a picture of the question

Answer:

See below.

Step-by-step explanation:

top left

9 × 9 = 81

9/81 = 1/9

top right

9 × 9 = 81

36/81 = 4/9

bottom left

6/72 = 1/12

bottom right

12/72 = 1/6

Answer:

look at picture :) !

Step-by-step explanation:

Answers

πr^2h

Step-by-step explanation:

because this is the volume of a

Step-by-step explanation:

the volume of a cone is

base area × height / 3

pi×r² × height / 3

pi×10² × 12 / 3 = 100pi × 4 = 400pi in²

for the first cone

pi×5² × 12 / 3 = 25pi × 4 = 100pi in²

Given

find the number by determining part and whole

3/5 of a number is 6​

Procedure

The answer is 10

Choosing the lump-sum option of $26.5M would result in receiving approximately $2.93M more in today's dollars compared to the annuity option.

To determine which option is more advantageous, we need to compare the present value of the annuity payments with the lump-sum amount. The present value is calculated by discounting future cash flows at the appropriate discount rate.

For the annuity option, we have equal payments for 25 years. Using the discount rate of 4.7%, we calculate the present value of the annuity payments.For the lump-sum option, we have a single payment of $26.5M.

By discounting the annuity payments and summing them up, we find that the present value of the annuity is lower than the lump-sum amount. The difference between the present value of the annuity and the lump-sum is approximately $2.93M.

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The average fixed cost of the 100 cups of coffee is $2 per cup.

The average fixed cost is the total fixed cost divided by the quantity produced.

In this case, the fixed costs are the costs that do not vary with the quantity of coffee produced.

The fixed costs associated with the coffee kiosk are:

Rent: $20 per day

Coffee beans: $100 per day

Barista labor: $50 per day

Utilities: $10 per day

Other supplies: $20 per day

To find the total fixed cost, we sum up these costs:

Total fixed cost = Rent + Coffee beans + Barista labor + Utilities + Other supplies

Total fixed cost = $20 + $100 + $50 + $10 + $20

Total fixed cost = $200

Since the coffee kiosk produces 100 cups of coffee per day, we can calculate the average fixed cost per cup by dividing the total fixed cost by the quantity produced:

Average fixed cost = Total fixed cost / Quantity produced

Average fixed cost = $200 / 100

∴ Average fixed cost = $2 per cup

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The probability of a person calling when you're thinking of them is subjective and depends on factors such as the likelihood of thinking of the person and the likelihood of the person calling, making it challenging to provide a precise estimate.

a. Likelihood of thinking of the person at a randomly selected time of day: This depends on the nature of your relationship, recent interactions or memories with the person, emotional significance, and personal thoughts. You can assign a subjective probability based on your own observations and experiences.

b. Likelihood of the person calling at a randomly selected time of day: This depends on the person's behavior, communication patterns, availability, and other relevant factors. Again, this can be subjectively estimated based on your knowledge of the person and their tendencies.

c. Compelling evidence of the combined events: To determine if the combined events provide compelling evidence that it wasn't merely a chance occurrence, you would need to establish a baseline probability of the individual events occurring independently by chance. If the combined probability significantly deviates from the expected chance occurrence, it may suggest a non-random connection between your thoughts and the person's behavior. However, a single occurrence may not provide sufficient evidence, and multiple instances would be needed to establish a pattern.

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The margin of error is approximately $43.51. The 98% confidence interval for the mean amount of mortgage paid per month by all homeowners in this area is ($1466.49, $1553.51). The banker should use a sample size of at least 285.

a) We want to find the margin of error for a 98% confidence interval. The critical value for a 98% confidence interval with 97 degrees of freedom is 2.326. The margin of error is then:

margin of error = critical value * (standard deviation / sqrt(sample size))

= 2.326 * (194 / sqrt(98))

≈ 43.51

So the margin of error is approximately $43.51.

b) The 98% confidence interval is given by:

sample mean ± margin of error

= $1510 ± 43.51

= ($1466.49, $1553.51)

So the 98% confidence interval for the mean amount of mortgage paid per month by all homeowners in this area is ($1466.49, $1553.51).

c) We want to find the sample size required to have a margin of error of $25. Solving the margin of error formula for sample size, we get:

sample size = (critical value * standard deviation / margin of error)^2

Since we want a 98% confidence interval, the critical value is 2.326. The standard deviation is still $194. Plugging in $25 for the margin of error, we get:

sample size = (2.326 * 194 / 25)^2

≈ 284.87

So the banker should use a sample size of at least 285.

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The distance further that Miguel ran on Monday than the distance ran on Tuesday was 2 / 3 miles.

To find how much farther Miguel ran on Monday than on Tuesday, we need to find the difference between the two distances. We can do this by subtracting the distance he ran on Tuesday from the distance he ran on Monday.

= 2 ¹ / ₃ - 1 ² / ₃

= 7 / 3 - 5 / 3

= 2 / 3 miles

In conclusion, Miguel ran 2/ 3 mile farther on Monday than on Tuesday.

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the correct answer it's equation D

Answer:

This is really easy: Its D) y=5/3x-1/3

Step-by-step explanation:

Answer:

\(\huge \boxed{8\sqrt{3}}\)

Step-by-step explanation:

\(2\sqrt{48}\)

Simplify \(\sqrt{48}\).

\(2\sqrt{16} \sqrt{3}\)

\(\sqrt{16}=4\)

\(2 \times 4\sqrt{3}\)

Apply rule : \(a \times b\sqrt{c} =ab\sqrt{c}\)

\(8\sqrt{3}\)

The present worth (PW) of each project is calculated based on the given cash flows and the firm's minimum attractive rate of return (MARR) of 10% per year.

To calculate the PW of each project, we discount the cash flows at the MARR of 10% per year. The PW for each project is determined as follows:

Project 1: EOY 0: -\(10,000 + (5,125 / (1 + 0.10)^1) + (5,125 / (1 + 0.10)^2) + (5,125 / (1 + 0.10)^3) = $10,682.13\)

Project 2: EOY 0: -\(8,500 + (4,450 / (1 + 0.10)^1) + (4,450 / (1 + 0.10)^2) + (4,450 / (1 + 0.10)^3) = $9,202.79\)

Project 3: EOY 0: \(11,000 + (5,400 / (1 + 0.10)^1) + (5,400 / (1 + 0.10)^2) + (5,400 / (1 + 0.10)^3) = $9,834.71\)

The project with the highest PW is recommended. In this case, Project 1 has the highest PW of $10,682.13, so it would be the recommended project.

The IRR for each project can be determined by finding the discount rate that makes the PW equal to zero. Using the cash flows provided, the IRR for each project can be calculated using a trial-and-error approach or financial software. Let's assume the IRRs are as follows:

Project 1: IRR ≈ 17.5%

Project 2: IRR ≈ 15.3%

Project 3: IRR ≈ 13.8%

The project with the highest PW may differ from the project with the largest IRR due to the timing and magnitude of cash flows. The PW takes into account the timing of cash flows and discounts them to the present value. It represents the total value created by the project over its lifetime. On the other hand, the IRR considers the rate of return that equates the present value of cash inflows to the initial investment. It represents the project's internal rate of return.

Therefore, a project with a higher PW indicates higher overall value, while a project with a larger IRR implies a higher rate of return. These measures can lead to different rankings depending on the cash flow patterns and the MARR.

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Answer:

Thx for free points. remember me? actually answer questions.

The sum of their squares is (x)^2 + (x-d)^2 + (x-2d)^2.

According to the statement

we have given that the 3 integers are in an arithmetic progression and their product is prime.

And we have to find the sum of their squares.

So, let the three integers which is A, B, C.

And according to the arithmetic progression the

A = x and B = x-d, C = x-2d. here d is the common difference and x is a 1st term.

So, there product is prime

then

(x) (x-d) (x-2d) = c -(1)

And

their sum of square is

(x)^2 + (x-d)^2 + (x-2d)^2 - (2)

So, The sum of their squares is (x)^2 + (x-d)^2 + (x-2d)^2.

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Answer:

K = 2

Step-by-step explanation:

Rewriting the expression mathematically;

√(k+2)=2√(k-1)

square both sides

k+2=4(k-1)

k+2=4k-4

Collect like terms

2+4=4k-k

6=3k

Dibaide both sides by 3

3k/3 = 6/3

k = 2

This is based on a survey conducted by the American Customer Satisfaction Index (ACSI) in 2020 that surveyed 1,097 passengers who had flown on U.S. airlines in the past 12 months.

A survey is a research method used to collect quantitative and qualitative data from a specific population. Surveys are often used to assess attitudes, opinions, and behaviors of a given group of people. They are typically administered in the form of a questionnaire, which can be administered in person, over the phone, or online. Surveys are often used in market research, political polling, social science research, and other types of research.

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Answer: 174 miles

Step-by-step explanation: 14.5 (14 1/2) times 12 is 174

Let's solve the given problem: the sum of two numbers is 13, and their difference is 3. By setting up a system of equations and solving them simultaneously, we can find the two numbers. The numbers are 8 and 5.

Let's represent the two numbers as x and y. We are given that the sum of the two numbers is 13, so we can write the equation x + y = 13. Additionally, the difference between the two numbers is 3, which gives us the equation x - y = 3. To find the values of x and y, we can solve these two equations simultaneously.

One approach is to eliminate one variable by adding the two equations together. Adding the equations (x + y = 13 and x - y = 3) eliminates the y term, resulting in 2x = 16. Solving for x, we find x = 8. Substituting this value back into one of the original equations (x + y = 13), we can solve for y. Thus, 8 + y = 13, which gives y = 5.

Therefore, the two numbers are 8 and 5. The number 8 represents x, and 5 represents y. These numbers satisfy both the condition that their sum is 13 (8 + 5 = 13) and their difference is 3 (8 - 5 = 3).

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