The following equation is true for all real values of n for which the expression on the left is defined, and B is a polynomial expression.

The Following Equation Is True For All Real Values Of N For Which The Expression On The Left Is Defined,

Answers

Answer 1

Answer:

6n^3

Step-by-step explanation:

3/3 *9^10/453*7+sqrt175

Answer 2

The polynomial expression is [tex]$B=6 n^{3}[/tex] ; where, [tex]\quad n \neq 0[/tex].

What is Polynomial expression?

Given:

[tex]$\frac{n^{2}+12 n+27}{3 n^{3}+9 n^{2}} \div \frac{2 n^{2}+18 n}{B}=1$[/tex]

To find:

the value of B is a polynomial expression.

Step 1

Let, [tex]$\frac{n^{2}+12 n+27}{3 n^{3}+9 n^{2}} \div \frac{2 n^{2}+18 n}{B}=1$[/tex]

[tex]$\frac{\frac{n^{2}+12 n+27}{3 n^{3}+9 n^{2}}}{\frac{2 n^{2}+18 n}{B}}=1$$[/tex]

Simplifying the above equation as

[tex]$\frac{\frac{n^{2}+12 n+27}{3 n^{3}+9 n^{2}}}{\frac{2 n^{2}+18 n}{B}}: \frac{B}{6 n^{3}}$[/tex]

then, we get

[tex]$\frac{B}{6 n^{3}}=1$$[/tex]

Step 2

Multiply both sides by [tex]$6 n^{3}$[/tex], then we get

[tex]$\frac{B}{6 n^{3}} \cdot 6 n^{3}=1 \cdot 6 n^{3} $$[/tex] where, [tex]\quad n \neq 0[/tex]

Simplifying the equation as

[tex]$B=6 n^{3}[/tex] ; where, [tex]\quad n \neq 0[/tex]

The value of [tex]$B=6 n^{3}[/tex] ; where, [tex]\quad n \neq 0[/tex].

Therefore, the polynomial expression is [tex]$B=6 n^{3}[/tex] ; where, [tex]\quad n \neq 0[/tex].

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Related Questions

what is the 7th term in the sequence 48,40, 32, 24,

Answers

Answer:

0

Step-by-step explanation:

Take the second term and subtract the first term

40-48 = -8

Take the third term and subtract the second term

32-40 = -8

The common difference is -8

We have the 4th term

24

The fifth term is

24-8 = 16

The sixth term is 16-8 = 8

The seventh term is 8-8 =0

Answer: 16

Step-by-step explanation:

The answer is 16 because you are going down by 8s

Stefan bought 2 turkey sandwiches and 5 ham sandwiches for a total cost of $40.50. Nancy bought 4 turkey sandwiches and 1 ham sandwich for a total cost of $31.50. The equations below represent Stefan's and Nancy's purchases.

Answers

Answer:

Price of each turkey sandwich = $6.5

price of each ham sandwich = $5.5

2a + 5b = 40.50.........(i)

4a + b = 31.50..............(ii)

Step-by-step explanation:

Let

price of each turkey sandwich = a

price of each ham sandwich = b

Stefan purchase

2a + 5b = 40.50.........(i)

Nancy purchase

4a + b = 31.50..............(ii)

combine the equations

2a + 5b = 40.50.........(i)

4a + b = 31.50..............(ii)

b = 31.50 - 4a

insert the value of b in equation(i)

2a + 5b = 40.50.........(i)

2a + 5(31.50 - 4a) = 40.50

2a + 157.5 - 20a = 40.50

-18a = 40.50 - 157.5

-18a = -117

divide both sides by -18

a = -117/-18

a = 6.5

insert the value of a in equation(ii)

4a + b = 31.50..............(ii)

4(6.5) + b = 31.50

26 + b = 31.50

b = 31.50 - 26

b = 5.5

Price of turkey sandwich = $6.5

price of ham sandwich = $5.5

a tile pattern has 6 times as many white squares as gray squares.there are 48 white tiles in the pattern.how many gray tiles are there?

Answers

8. You would take 48 (white tiles) then divide it by 6 to get 8. (Grey tiles)

There are 8 white squares in the tile pattern.

Given that, there are 48 white tiles in the pattern.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the number of gray squares be x.

Here, a tile pattern has 6 times as many white squares as gray squares

Then, white squares = 6x

Now, 6x=48

⇒ x=8

Therefore, there are 8 white squares in the tile pattern.

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Hey can anyone pls help me out in dis I will give up 30 points and also will mark u as brainliest!!!!!!!!!!

Answers

Answer:

1. f

2. a

3. b

4. e

5. c

6. d

1. I figured out how to order them by using the distance formula to calculate how far each point was, from the other.

2. (1, -10) and (1, -11)

3. (1, -10) and (1, 11)

Step-by-step explanation:

Using Letter A, as example:

To calculate the distance between the points, you use the formula:

[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]d = \sqrt{(2-2)^2+(10-4)^2}[/tex]

[tex]d = \sqrt{0 + 36}[/tex]

d = 6

Just do the same thing (plug in the numbers into the formula), and you should be able to get the correct answers.

Luke is designing a scale model of a clock tower. The design of the front of the tower is shown below. What will be the area of the front face of his model? 2,500 square millimeters 10,000 square millimeters 12,500 square millimeters 15,000 square millimeters

Answers

The image of the front of the tower is missing, so i have attached it.

Answer:

Option B - 10,000 square millimeters

Step-by-step explanation:

From the image attached, we see that the dimensions of the front of the tower are;

Length; L = 200 mm

Width; w = 50 mm

Now, this front face takes the shape of a rectangle.

Area of rectangle = Length x width

Thus, plugging in the values of length and width, we will get;

Area of front face = 200 x 50

Area of front face = 10,000 square millimeters

Answer:

12,500 mm^2

Step-by-step explanation:

50 x 200 = 10,000 mm

(300 - 200 = 100) 100 x 50 x 1/2 = 2,500 mm

10,000 + 2,500 = 12,500 mm^2

What symbols are used to indicated statements?

Answers

Answer: => means “implies” or “if and then”

p,q,r are statements

Step-by-step explanation:

The student council sold 362 rolls of wrapping paper for a fundraiser. If they raised $4,706, what was the cost of one roll of wrapping paper

Answers

Answer:

13

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

If you had to add two fractions with denominators of 4 and 5. What might the denominator of the sum be? Show more than one possibility. Use specific fraction examples.

Answers

Answer:

9

Step-by-step explanation:

The number of gold medals won by ten countries during the 1996 Olympics are given below. Use the data to make a stem and leaf plot. (9,16,9,15,20,13,7,26,9,44)

Answers

Answer:

0|   7, 9,9,9

1|    3,5,6

2|   0,6

3|  

4|   4

Notation: For this case the first number represent the first digit and the second represent the second digit.

Step-by-step explanation:

For this case we have the following dataset given:

9,16,9,15,20,13,7,26,9,44

The first step is order the data on increasing way and we got:

7,9,9,9, 13,15, 16,20,26,44

And we can create the stem plot like this:

0|   7, 9,9,9

1|    3,5,6

2|   0,6

3|  

4|   4

Notation: For this case the first number represent the first digit and the second represent the second digit

16.8=2.4e
find the value of E

Answers

Divide both sides by 2.4
e=7

Answer:

[tex]e = 7[/tex]

Step-by-step explanation:

[tex]16.8 = 2.4e \\ \frac{16.8}{2.4} = \frac{2.4e}{2.4} \\ \: \: \: \: \: 7 = e[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Find the area of a circle with a circumference of 6.28 units.

Answers

Answer:

3.14

Step-by-step explanation:

The required area of the circle is given as 3.14 square units, as of the circumference of 6.28 units.

What is an area circle?

The area of a circle is given by the pie times square of the radius.

Area of circle = πr²

Here,
circumference of a circle is 6.28 units.

circumference = 6.28
2 × π × r = 6.28
r  = 1

Now,

Area of the circle = πr²
Area of the circle = 3.14 × 1²

Area of the circle = 1 square unit

The required area of the circle is given as 3.14 square units, as of the circumference of 6.28 units.

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answer the question in the attached picture please

Answers

Answer:

Option 1 is correct

5.345345... = 5340/999

Hope this helps!

:)

does anybody know where i can watch baruto dub for free all episodes no downloads

Answers

Answer:

They have it on Hulu

Step-by-step explanation:

and I heard something about Naruto360.com.

Answer:

I watched it on Utube

Step-by-step explanation:

You can find the episodes free on Utube just type in the episode and you can find it in many languages

Help pleaseeeeeee

find the code for section 8

need help now pleaseeeee

Answers

Answer:

21/25 = 84% 84% is the largest out of them all in a percentage number.

What is the value of y?

Answers

Answer:

Step-by-step explanation:

A [tex]45^\circ - 45^\circ - 90^\circ[/tex] triangle is special -- it's a square cut in half diagonally.

The legs (sides that form the 90 degree angle) are both equal.

The hypotenuse is the leg multiplied by the square root of 2.

[tex]\text{hypotenuse}=\text{side}\sqrt{2}[/tex]

So [tex]x=24\sqrt{2} \approx 33.9[/tex]

someone plz help it looks easy but I dont understand

Answers

Answer:

Step-by-step explanation:

(√8)²=8,2²+2²=8

√8→2 units,2 units

(√7)²=7,(√5)²+(√2)²=5+2=7

√7→√5 units,√2 units

(√5)²=5,2²+1²=5

√5→2 units ,1 unit

3²=9,2²+(√5)²=9

3→2 units,√5 units.

Write the function f(x) that is equal to the derivative of the series, please check my work...

Answers

Step-by-step explanation:

Yes, that is correct.  Well done!

The volume of a cylinder is 40 Feet cubed. Which expression represents the volume of a cone with the same base and height as the cylinder?

Answers

Answer:

40/3 feet³

Step-by-step explanation:

Volume of cylinder = 3 × volume of cone with same base and height

40 = 3 × Volume of cone

Volume of cone = 40/3 feet³

Answer:

I think da answer is C on edge

Step-by-step explanation:

This net consists of a square and 4 identical triangles. What is the surface area of the solid this net can form?


144 square inches
184 square inches
224 square inches
264 square inches

Answers

Answer: C, 224 inches squared

Step-by-step explanation:

When formed into a solid, the triangles are folded upwards to make a pyramid. You can find the surface area by finding the areas of the individual shapes.

There are four triangles with a height of 10 inches and a base of 8 inches.

There is one square with a side length of 8 inches.

Triangle area formula : A = (b * h) / 2

Square area formula: A = s^2

(10 * 8) / 2 = 40

8 ^ 2 = 64

There are four triangles with area of 40 and one square with area of 64.

40 + 40 + 40 + 40 + 64 = 224 inches squared. The correct answer choice is C.

The surface area of the pyramid is 224 in².

What is surface area?

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

Given net will form a square pyramid, so we will find the surface area of the square pyramid.

Therefore,

The area of the pyramid = side² + 2 × side × height

= 8² + 2 × 8 × 10

= 64 + 160

= 224

Hence the surface area of the pyramid is 224 in².

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what is 4 3/4 - 1/3 . I need this answer so I can pass .

Answers

Answer:

Step-by-step explanation:

Turn the fractions to the same denominator then subtract to get: 4 5/12

Suppose you have a rectangle with a perimeter of 2 cm. What can you conclude about the side lengths? Can all 4 sides of the rectangle measure a whole number of centimeters?

Answers

Answer:

Step-by-step explanation:

The formula for a perimeter of a rectangle = 2(L+B)

= 2L+2B

Where L and B are length and breadth respectively.

The question says ;

2cm = 2(L+B)

2cm = 2L+2B

Divide both sides by 2

1 = L+B

If the sum of the length and breadth is equivalent to 1cm, then the length itself is less than 1 cm. That is L < 1 cm

When all sides of the rectangle is summed, it will definitely be a whole number since the perimeter is 2 cm

Unit 6. 2) Please help. What is the probability that a student is absent given that today is Monday?

Enter your answer as a fraction in simplest form, formatted like this: 3/14

Answers

Answer:

Let's denote:

The probability that today is Monday: P(A)

The probability that a student is absent: P(B)

The probability that a student is absent given that day is Monday: P(B|A)

As given,

P(A intersect B) = 3/100

P(A) = 1/5

=> P(B|A) x P(A) = P(A intersect B)

=> P(B|A) = P(A intersect B)/P(A)  = (3/100)/(1/5) = 15/100 = 3/20

Hope this helps!

:)

Find the value ox x. (Circles)

Answers

Answer:

x = 140 degrees

Step-by-step explanation:

Lets say that the other part of the circle we don't know is y. Because the chords are equal distance, that means that the amount of circle the cut off is equal so y also equals 100.

And y + x + 100 + 20 = 360

100 + x + 100 + 20 =360

x + 220 = 360 Subtract 220 from both sides.

x = 140

Problem
A group of people attended a party.
When they danced as couples, one person was left
over.
When they danced in threes, one person was left over.
When they danced in fours, one person was left over.
When they danced in fives, one person was left over
How many people
were at the party?

Answers

Answer:

301

Step-by-step explanation:

Your friend buys a skateboard that is on sale for one third off the original price. Your friend spent $36 than the original price. What was the original price of the skateboard?

Answers

Answer:

original price of skateboard = $54

Step-by-step explanation:

Let the original price of the skateboard be x

selling price = one third off the original price = $36

x - (1/3x) = 36

[tex]\frac{x}{1} - \frac{x}{3} = \frac{3x-x}{3} = \frac{2x}{3}[/tex]

[tex]\frac{2x}{3} = 36\\2x = 108\\x = \frac{108}{2} = 54[/tex]

∴ x = 54

an isosceles trapezoid is a trapezoid with congruent legs. true or false?

Answers

Answer:

true

Step-by-step explanation:

If a trapezoid has congruent legs, it is an isosceles trapezoid.

Hope this helps.

It is true, that an isosceles trapezoid is a trapezoid with congruent legs.

A statement is to justify that tells an isosceles trapezoid is a trapezoid with congruent legs.

What is geometry?

It is branch of math that pacts with the dimensions, properties, and connections of points, strings, slopes, surfaces, and solids extensively the analysis of effects of given elements that remain consistent beneath prescribed conversions.

Definition of the isosceles trapezoid, when two non-parallel sides(legs) of the trapezoid are congruent then the trapezoids can be said the given trapezoid is an isosceles trapezoid.


Thus, it is true that an isosceles trapezoid is a trapezoid with congruent legs.

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Multiply.
(x + 5)(2x - 6)
A) 2x2 - 30
B) 2x2 - 6x
C) 2x2 + 7x - 6
D) 2x2 + 4x - 30

Answers

Answer:

D) 2x² + 4x - 30

Step-by-step explanation:

Follow the FOIL method:

FOIL =

First

Outside

Inside

Last

...and is the order you multiply to solve:

(x + 5)(2x - 6) =

(x)(2x) = 2x²

(x)(-6) = -6x

(5)(2x) = 10x

(5)(-6) = -30

Combine like terms. Simplify:

2x² -6x + 10x - 30 = 2x² (-6x + 10x) - 30 = 2x² + 4x - 30

2x² + 4x - 30 is your answer.

~

Joanie uses 6.4 pints of blue paint and white paint to paint her bedroom walls. 3 4 of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?

Answers

Correct question:

Joanie uses 6.4 pints of blue paint and white paint to paint her bedroom walls. ³/₄ of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?

Answer:

The quantity of white paint she used to paint her bedroom walls is 1.6 pints

Step-by-step explanation:

Given;

total quantity of  blue paint and white paint used by Joanie = 6.4 pints

she uses ³/₄ of the total quantity of the paints as blue

the remaining fraction as white paint = 1 -  ³/₄ = ¹/₄

The fraction of the total quantity of paints that is white paint = ¹/₄

And,

The quantity of white paint she used to paint her bedroom walls = ¹/₄  x 6.4 pints = 1.6 pints

Then, quantity of blue paint she used = ³/₄ x 6.4 = 4.8 pints

Check:

blue paint + white pain = total

4.8 + 1.6 = 6.4 pints

Therefore, the quantity of white paint she used to paint her bedroom walls is 1.6 pints

c(1)=-20 c(n)=c(n-1)+10 find second term

Answers

Answer:

c(2) = -10

Step-by-step explanation:

c(1)=-20

c(n)=c(n-1)+10

Let n = 2 since n indicates the term number

c(2)=c(2-1)+10

     = c(1) +10

     = -20+10

      = -10

Find the particular solution to y ' = 2sin(x) given the general solution is y = C - 2cos(x) and the initial condition y of pi over 2 equals 1 .


-2cos(x)
2 - 2cos(x)
1 - 2cos(x)
-2 - 2cos(x)

I think it is option C. Thank you in advance!

Answers

Answer:

1 − 2 cos x

Step-by-step explanation:

y' = 2 sin x

y = C − 2 cos x

1 = C − 2 cos(π/2)

1 = C

y = 1 − 2 cos x

Other Questions
How do we need to prepare for the future?a) To increase safety in energy plants?b) To achieve sustainable development? The Mystery InfectionA worried mom runs her six-year-old son into a crowded ER. She carries him in her arms, because his fever has left him weak and too tired to walk. After hes checked in, the nurse takes his vital signs. The young boy answers some questions about how hes feeling, but he leaves most of the details to his mother to answer. She fills in details about what her son has experienced over the past few days. The information provided is organized into medical files that the medical team will review. Review the patients medical file and highlight information you feel is important in helping the little boy. Think about what symptoms he experienced as well as other clues that may help you figure out why he is so sick (highlight)----------------------------------------------------Medical FilePatient's Name Patient 1 Age 6 Temperature 103.5FDate Jan. 17 Blood Pressure 90/72Height 48 in. Pulse 90 bpmWeight 55 lbs. Respiratory Rate 23 bpmCase NotesPatient is a previously healthy six-year-old boy. He says he is hot and tired and points to his chest when asked what hurts. His mother reports that he came home from school five days ago with what she thought was a cold, but the symptoms have only gotten worse. He has had a constant fever over the past few days and complained of being cold. He has a dry cough that seems to get worse at night. His mother reports episodes where it feels like he is really struggling to breathe.The patient is extremely weak and his mom says that he is sleeping 1214 hours a day. 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