The domain set of f(x) = (x+1)/(x^2-1) is
O R/{1}
O R/{-1, 1)
O The set of all set real numbers R
O R/{-1}

Rounded to one decimal place, the length of 1 inch nails is approximately 25.4 millimeters.

To convert inches to millimeters, we need to know the conversion factor between the two units.

1 inch is equal to 25.4 millimeters.

Given that 1 inch of nails weighs approximately 18mg, we can calculate the length of 1 inch nails in millimeters:

Length in millimeters = 1 inch * 25.4 millimeters/inch

Length in millimeters = 25.4 millimeters

Rounded to one decimal place, the length of 1 inch nails is approximately 25.4 millimeters.

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Answer:

x = 20.5

y = 14.75

Step-by-step explanation:

Two angles are similar so we can use the similarity rates to find the value of x and y

18/36 = 1/2 is the similarity ratio

x/41 = 1/2 cross multiply expressions

2x = 41 divide both sides by 2

x = 20.5

y/29.5 = 1/2 cross multiply

2y = 29.5 divide both sides by 2

y = 14.75

Simplified it would be \(\frac{11}{10}\).

Step-by-step explanation:

holaaaaaaaaaaaaaaaaaaa22zz

Answer:

5800

Step-by-step explanation:

thank me

c:

Answer:

100

Step-by-step explanation:

14-12=2

10-6=4

4x2=8

divid it by 2 cos itza triangl

8/2=4

the smallr square

4x4=16

biggr square

10x8=80

4+16+80=100

Answer:

answer =100 ft²

Step-by-step explanation:

......hope it helps

A 403(b) retirement plan can be offered by the educational institutions, hospitals, and non-profit organizations as these entities fall under the purview of the Internal Revenue Code.

Thus, these types of employers could offer a 403(b) retirement plan to its employees.What is a 403(b) plan?A 403(b) plan is a tax-advantaged retirement plan that is available to employees of certain tax-exempt organizations, public schools, and ministers. The plan allows employees to save money for retirement while enjoying certain tax benefits. The contributions to 403(b) are tax-deferred and the earnings grow tax-free until the distribution.What is the purpose of a 403(b) plan?The main objective of a 403(b) plan is to provide employees of non-profit and tax-exempt organizations a tax-advantaged way to save for their retirement. The plan is designed to help the employees in their retirement planning by offering various investment options to choose from. The plan allows the employees to contribute a part of their salary to the plan on a pre-tax basis or post-tax basis and the contributions are invested in a range of investment options offered by the employer.What are the advantages of a 403(b) plan?The advantages of a 403(b) plan are:Tax-deferred growth: The contributions made to a 403(b) plan are tax-deferred, which means that the employee does not have to pay any tax on the contributions until the money is withdrawn from the account.Tax-free growth: The earnings made on the contributions grow tax-free, which means that the employee does not have to pay any tax on the earnings until the money is withdrawn from the account.Various investment options: The employee can choose from a range of investment options offered by the employer to invest their contributions, which gives them flexibility and control over their retirement savings.

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Answer:

10*10*10

Step-by-step explanation:

Given the expression 10^3

We are to write this as a series of products as as shown;

10^3 means the product of 10 in 3 places. Multiplying 10 in 3 places will give the required series of product.

10^3 = 10 * 10 * 10

Hence the series of product of 10^3 is 10*10*10

Answer:

22.75 applications

Step-by-step explanation:

From the above question, we understand that:

4 ​-oz bottle = 7 applications

13 ​-oz bottle = x applications

Cross Multiply

4 -oz bottle × x applications = 13 -oz bottle × 7 applications

x applications = 13 -oz bottle × 7 applications/4 -oz bottle

x applications = 22.75 applications

Therefore, the number of applications of the 13 -oz bottle​ self-tanner that should Jen​ expect is 22.75 applications.

The number of applications that Jen can expect from the self-tanner is 22.75 applications.

The first step is to determine how many applications 1 -oz of the bottle can provide.

Number of applications 1 -oz of the bottle can provide = 7/4 = 1.75

The second step is to multiply the figure gotten in the previous step by 13

13 x 1.75 = 22.75 applications

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Answer:

Sure!

Step-by-step explanation:

So a radical(or a root) is the opposite of the exponent(for example square root is the opposite of the square of a number). Graphically it's not but it's more simple to think of it like that. Simplifying integer radicals is simple. For example, the square of 11 is 121, so sqr121 (√121) is equal to 11. Other radicals/powers are similar. cuberoot27= 3 because 3^3 is 27. If you add variables, the same thing happens. You can think of the √ as a funnel where only the numbers "big enough" can leave. If you have √xy^2z^3,

the x would have to stay because it's only to the first power, the √y^2 would be reduced to just y, and one pair of zs can come out resulting in z√z. The final answer to √xy^2z^3 would be yz√xz. Hope that helps :)

Answer:

144inches cube

v=2*9*8cube

v=144 inche cube

The area of the triangle from the vertices is 3 square units

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

D(1, 1), E(3, -1), and F(4, 4)

Represent the vertices properly

So, we have

D = (1, 1)

E = (3, -1)

F = (4, 4)

The area of the triangle is calculated using

Area = 0.5 * |Dx(Ey - Fy) + Ex(Dy - Fy) + Fx(Dy - Ey)|

Substitute the known values in the above equation, so, we have the following representation

Area = 0.5 * |1 * (-1 - 4) + 3 * (1 - 4) + 4 * (1 + 1)|

Evaluate the sum of products

Area = 0.5 * |-6|

Remove the absolute bracket

Area = 0.5 * 6

Evaluate

Area = 3

Hence, the area of DEF with vertices is 3 square units

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The temperature conversions are: 45 K = -228.15°C, 240 K = -33.15°C, 10°C = 283.15 K.

To convert 45 K to Celsius, we use the formula C = K - 273.15:

C = 45 K - 273.15 = -228.15°C

So, 45 K is equal to -228.15°C.

To convert 240 K to Celsius, we use the formula C = K - 273.15:

C = 240 K - 273.15 = -33.15°C

So, 240 K is equal to -33.15°C.

To convert 10°C to Kelvin, we use the formula K = C + 273.15:

K = 10°C + 273.15 = 283.15 K

So, 10°C is equal to 283.15 K.

Therefore, the temperature conversions are:

45 K = -228.15°C

240 K = -33.15°C

10°C = 283.15 K

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To convert dollar into cents, we need to multiply by 100. Thus, the total amount is equivalent to 275 cents.

Given:

Given amount is $ 2.75.

According to question, we have to convert currency of dollar into cents.

Conversion of amount from dollar to cent can be done as,

\(1\;\$=100\;\rm{cents}\\ \$\;2.75=\$\;\frac{275}{100}\\=\frac{275}{100}\times 100\;\rm{cents}\\=275\;\rm{cents}\)

Therefore, the total amount in cents is 275 cents.

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the number of ways of choosing 6 cds from 20 to bring on vacation is 27907200

permutation are a way to calculate the total outcomes of an event where order of the outcomes does not matter.

To calculate permutation , we will use the formula nCr = n! / (n - r)!,

where n represents the total number of items, and r represents the number of items being chosen at a time.

20C6 = 20! / 14!

        = 20*19*18*17*16*15

       = 27907200

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Answer:

15) Quadratic Function : The 3x is squared

16) Linear Function : It is a straight line

17) Quadratic Function : The line is a U shape

18) Linear Function : There is one y value for every x value, and the points form a straight line

Step-by-step explanation:

Done

Answer:

is it -15

Step-by-step explanation:

if its right let me explain

Answer:

I think the answer is 15

Step-by-step explanation:

2x9=18

18-3=15

Answer:

D.46

Step-by-step explanation:

180-46-29= 105

angle V, 46 degree, and T= equal 180

105= V

t= 29

v+t+u= must equal 180 because all triangle equal 180 degrees

105+29+u=180

u=-105-29+180

u=46

Answer:

-6

Step-by-step explanation:

x^2 + 5x - 2

(-4)^2 + 5(-4) -2

16 - 20 -2

-4 -2

-6

A trader sold 100 boxes of fruit at GH¢8. 00 per box, 800 boxes at GH¢6. 00 per box and 600 boxes at GH¢4. 00 per box, the average selling price per box is GH₵ 5.33.

Average selling price per box = (Total sales revenue) / (Total boxes sold)

There are 3 different types of fruit boxes sold. So, we need to find the total revenue from each type of fruit box sold and add them together. Similarly, we need to find the total boxes sold of all the types of fruit boxes sold and add them together. Lastly, divide the total revenue by the total boxes sold to find the average selling price per box.

1. For 100 boxes sold at GH₵ 8.00 per box, the total sales revenue is:

GH₵ 8.00 × 100 = GH₵ 8002.

For 800 boxes sold at GH₵ 6.00 per box, the total sales revenue is

GH₵ 6.00 × 800 = GH₵ 4,8003.

For 600 boxes sold at GH₵ 4.00 per box, the total sales revenue is

GH₵ 4.00 × 600 = GH₵ 2,400

Total sales revenue from all types of fruit boxes sold = GH₵ 800 + GH₵ 4,800 + GH₵ 2,400= GH₵ 8,000

Total boxes sold from all types of fruit boxes sold = 100 + 800 + 600= 1,500

Average selling price per box = (Total sales revenue) / (Total boxes sold)= GH₵ 8,000 / 1,500= GH₵ 5.33.

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Answer:

f²r-nr=d

Step-by-step explanation:

f²r-N=d/r

multiply both sides by r to get d by itself

f²r-nr=d

(all variables need to be there in your final equation)

Answer:

\(x = bc + 2b\)

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Step 1

Given;

Step 2

Thus, the answer will be; option B

Answer:

Correct answer is D.

Step-by-step

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The price per hour for the service business, based on a 75% profit with a cost per hour of $30, is $52.50.

To calculate the price per hour for a service business with 75% profit and a cost per hour of $30, we need to take into account the desired profit margin, which is 75%. This means that the total price per hour should be 175% of the cost per hour, since 100% covers the cost and 75% is the desired profit.

To calculate the total price per hour, we can multiply the cost per hour by 1.75 (175%). This gives us a total price per hour of $52.50. This means that for every hour of service provided, the business will charge $52.50, with $30 covering the cost of providing the service, and $22.50 (75% of $30) being the profit margin.

It is important to note that the price per hour may vary depending on factors such as competition, market demand, and value proposition. It is recommended to conduct a thorough market analysis and consider these factors when determining the pricing strategy for a service business.

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Answer:

\(=\pm i\sqrt{66}\)

Step-by-step explanation:

So we have:

\(\pm\sqrt{-66}\)

This is the same as:

\(=\pm\sqrt{66\cdot-1}\)

Separate:

\(=\pm\sqrt{66}\cdot\sqrt{-1}\)

Replace the second term with i:

\(=\pm i\sqrt{66}\)

The square root of 66 cannot be simplified.

So, this is our answer :)

The  Trigonometric Identity sin² x + cos²x = 1 is: A. Pythagorean Identity.

The Pythagorean Identity which  tend to asserts that for every angle x, the sum of the squares of the sine and cosine of x is equal to one  is known as or called a  trigonometric identity.

The  Pythagorean identity can be expressed as:

sin² x + cos² x = 1

This identity is crucial to understanding trigonometry and tend to have several uses in numerous branches of science and engineering.

Therefore the correct option is A.

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The linear transformation T: R³ → R⁴ is defined by T(v) = Av using the given matrix A, where Rn has a dimension of 3 and Rm has a dimension of 4.

You are asked to define the linear transformation T: Rn → Rm by T(v) = Av, and find the dimensions of Rn and Rm. Given the matrix A:
```
0  5 -1
4  1 -2
1  1  1
3  0  0
```

To find the dimensions of Rn and Rm, observe the matrix A. The matrix A has 4 rows and 3 columns. In a linear transformation T(v) = Av, the number of rows of A determines the dimension of the output space (Rm), while the number of columns determines the dimension of the input space (Rn).

In this case, the dimensions are:
- Dimension of Rn: 3 (number of columns)
- Dimension of Rm: 4 (number of rows)

Therefore, we can state that the linear transformation T: R³ → R⁴ is defined by T(v) = Av using the given matrix A, where Rn has a dimension of 3 and Rm has a dimension of 4.

The correct question should be :

Define the linear transformation T: Rn → Rm by T(v) = Av. Find the dimensions of Rn and Rm for the given matrix A :

```
0  5 -1
4  1 -2
1  1  1
3  0  0
```

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