[tex]\begin{equation}\text { Question: Find the value of } \frac{1}{1+x}+\frac{2}{1+x^{2}}+\frac{2^{2}}{1+x^{4}}+\ldots \cdot \frac{2^{100}}{1+x^{200}}\end{equation}[/tex]

Answers

Answer 1

[tex]\bold{Heya!}[/tex]

Your answer to this is:

[tex]\sf{= \frac{1}{2} \: + \frac{2}{1 \: + \: x^2} \: + \: \frac{1}{1 \: + \: x^4} \: + \: \frac{2^1^0^0}{1 \: + \: x^2^0^0}[/tex]

→ EXPLANATION :-

[tex]\sf{= \frac{1}{2} \: + \frac{2}{1 \: + \: x^2} \: + \: \frac{1}{1 \: + \: x^4} \: + \: \frac{2^1^0^0}{1 \: + \: x^2^0^0} \: (1)[/tex]

[tex]\sf{Apply \: rule:} \: (a) = a[/tex]

[tex]\sf{(1) = 1[/tex]

[tex]\sf{= \frac{1}{2} \: + \frac{2}{1 \: + \: x^2} \: + \: \frac{1}{1 \: + \: x^4} \: + \: \frac{2^1^0^0}{1 \: + \: x^2^0^0} \: ^. \: 1[/tex]

[tex]\sf{\frac{1}{1 \: + \:1} = \frac{1}{2}[/tex]

[tex]\sf{\frac{2^1^0^0}{1 \: + \: x^2^0^0} ^.^ \: 1 \: = \: \frac{2^1^0^0}{1 \: + \: x^2^0^0}[/tex]

[tex]\sf{= \frac{1}{2} \: + \frac{2}{1 \: + \: x^2} \: + \: \frac{1}{1 \: + \: x^4} \: + \: \frac{2^1^0^0}{1 \: + \: x^2^0^0}[/tex]

Hopefully This Helps ! ~

#LearnWithBrainly

[tex]\underline{Answer :}[/tex]

Jaceysan ~


Related Questions

Test help picture below problem 17 18

Answers

Step-by-step explanation:

17. 21⁰ + 31⁰ + ?⁰ = 180⁰

= ?⁰ = 128⁰

18. ?² = 12² + 5²

? = √169

? = 13 TYPO

Answer:

17: 128
18: 13

Step-by-step explanation:

17: 21 + 31 = 52, 180 - 52 = 128.

18: a² + b² = c².
5² = 25
12² = 144
25 + 144 = 169
169 square rooted = 13
C (aka the missing side) = 13

edited to fix 17 from 121 to 128

Mr. Red's first year salary is $30,000 and it increases by $500 each year. What is the explicit rule for this sequence in simplified form?

What is the recursive rule?

Answers

The required recursive function will  be expressed as an = 3000 + 500n

How to write recursive functions

Given the following parameters

First year salary = $30,000

If it increases by $500 each year, let the number of years be "n", then the increment after "n" years is 500n

The required recursive function will  be expressed as an = 3000 + 500n

Learn more on recursive function here: https://brainly.com/question/489759

Melissa deposits $5000 into an account that pays simple interest at a rate of 4% per year. How much interest will she be paid in the first 2 years?

Answers

Answer:

$400 is the intrest she will pay in the first 2 yrs

Step-by-step explanation:

principal (p) = 5000

time (t) = 2yrs

rate (r) = 4%

Now,

Intrest(I) = p×t×r/100

= 5000×2×4/100

= 400$

Melanie is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if she rolls a fair die in the shape of a pyramid that has four sides labeled 1 to 4 and spins a spinner with 5 equal-sized sections labeled Monday, Tuesday, Wednesday, Thursday, Friday?

Answers

Answer:

20 possible outcomes

Step-by-step explanation:

5 equal-sized sections x 4 sides of the die = 20

Which recursive sequence would produce the sequence 2, 11, 38,...?

Answers

Answer:

[tex]a_{1} =2[/tex] and [tex]a_{n} =4a_{n-1} + 3[/tex]

Step-by-step explanation:

hope this helps!! p.s. i really need brainliest :)

What is the volume of a cube with an edge length of 7.3 cm?
Enter your answer in the box

Answers

Answer:

389.017 cm³

Step-by-step explanation:

Given:

Side length of cube = 7.3 cm

The volume of a cube is the cube of the side length.

V = (side length)³

Substitute the side length of the cube to determine the volume of the cube.

⇒ V = (s)³

⇒ V = (7.3)³

V = (7.3)(7.3)(7.3) = 389.017 cm³

Answer: 389.017

Step-by-step explanation: I just took the test.

Evaluate the expression 8-5xy3 for x=3 and y=-2.

Answers

Answer:

-54

Step-by-step explanation:

8-5xy3    x=3 y=-2

3xy3

3(3)(-2)3

9(-2)3

-18*3

-54

Find the unit cost (i.e. dollars per unit). Round the answer to 3 decimal places when necessary. A package of 3 AAA batteries costs $3.36.

Answers

3.36/3= 1.12

Cost per unit = cost /units

a bag og of grass seed weigh 5.8 pounds. how many
pounds would 2.5 weighs?

Answers

Answer:

the answer is 8.3 it weigh

find measure of ECF. Please show work.

Answers

Answer:

To measure the extracellular fluid volume, use a cell inpermeant marker substance such as inulin or mannitol that will equilibrate everywhere except in the cells (it is possible to make inulin and mannitol radioactive).

Step-by-step explanation:

determine the elements of the relation A × A if -
A = { 1 , 2 , 3 }​

thankyou ~

Answers

If X and Y are two sets, then X × Y is the Cartesian product of X and Y, which is the set of all pairs (x, y) such that x ∈ X and y ∈ Y.

This means

A × A = {(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (3, 3)}

The Arctic Ocean has an area of about 5×106 square miles. The Atlantic Ocean has an area of about 3×107 square miles. Use these numbers to complete the sentence below. Write your answer in standard form, without using exponents.

The Atlantic Ocean is about how many times as large as the Arctic Ocean?

Answers

Answer:

1.65x

Step-by-step explanation:

multiply 3x107 to get 321.

multiply 5x106 to get 530.

divide 530 by 321 to get 1.65x

M is the midpoint of LN, LM = 2x + 10, and MN = 4x - 2, what is LM?

Answers

Answer:

LM=22

Step-by-step explanation:

Check out the attached photo

Use the Pythagorean Theorem to find which one of the
following is the hypotenuse c of a right triangle with side
lengths of a = 9 cm and b = 12 cm.
a 12 cm
b 15 cm
C 14 cm
d 17 cm

Answers

Hello There!!

Given:-

Altitude (AB) = 9cm

Base (BC) = 12cm

To Find

Hypotenuse (AC) = ?

[tex] \fbox \text{According To Pythagoras Theorem = }[/tex]

[tex] \text{(Hypotenuse)² = (Altitude)² + (Base)²}[/tex]

Inserting The Values

[tex] \text{(Hypotenuse)²} =( {9})^{2} + (12) {}^{2} \\ \\ \implies \text{(AC)} {}^{2} = 81 + 144 \\ \\ \implies \text{(AC}) {}^{2} = 225 \\ \\ \implies \text{AC} = \sqrt{225} \\ \\ \implies \text{AC} = 15[/tex]

[tex] \therefore \text{Hypotenuse \: (AC)} = 15 \text{cm}[/tex]

Option B= 15cm is the correct answer

Hope This Helps

1. Abe and Malik both stayed after school on
Wednesday to practice their instruments. Abe
practiced for 30 minutes. Malik practiced 10
minutes longer than Abe. Select all the ratios
that compare Abe's practice time to Malik's practice time

Answers

Answer:

Step-by-step explanation:

If Abe practiced 30 minutes,

Malik practiced 40 minutes.

It's 30:40 minutes;

3:4

is it possible to write vector (-5,6) as a linear combination of vectors (1,2) and (3,4)

Answers

Answer:

Step-by-step explanation:

-5i+6j=x(1i+2j)+y(3i+4j)

-5=x+3y(multiply by 2)

6=2x+4y

-10=2x+6y

subtract

16=-2y

y=-8

-5=x+3(-8)

x=-5+24=19

-5i+6j=19(i+2j)-8(3i+4j)

so we can write (-5,6) as a linear combination of (1,2) and (3,4)


[tex] \frac{x}{10} + \frac{2}{y} = 1 \\ \frac{3x}{5} - \frac{4}{5y} = \frac{14}{5} [/tex]
solve by elimination method

Answers

Answer:

(5,4) Solved by using the elimination method.

4. In 2003, Mississippi’s labor force totaled
1,312,700 persons. The unemployment rate in
the state was 5.6 percent. Approximately how
many people were employed in that year?
Round your answer to the nearest thousand.

Answers

employed: 1,312,700 people

total people : 1,312,700

unemployment : 5.6%

employed : 100% - 5.6% = 94.4%

employed people:

94.4% * 1,312,700 1239188.8≈ 1239189 people

Unemployed persons

5.6% of 13127000.056(1312700)73511

Employed persons

1312700-735111238989

Solve the system of equations using substitution.
y = 2x + 3
y = 3x + 1

a. (-2,-1)
b. (-2,-5)
c. (2,7)
d. (-1,-2)

Answers

Answer:

C. (2,7)

Step-by-step explanation:

2x+3 = 3x+1

x=2

y= 2×2+3

y=7

Which value for Y makes this sentence true?
y = 1/5

Answers

Answer:

[tex] \frac{1}{5} [/tex]

making both sides d same value makes d sentence true

You deposit $2500 into an account that pay 4%. How much is your account after 15 years if compounded continuously?

Answers

Answer:

I think it is 11875

Sorry if im wrong

Hope This Helps

Plot the image of triangle AABC under a reflection across the y-axis.

Answers

Answer:

(6,4) (4,4) (2,3) or (2,2)

Step-by-step explanation:

hope it helps

why does a week have seven days​

Answers

Hi!the week has seven days because the Babylonians, who lived in modern-day Iraq, were astute observers and interpreters of the heavens, and it is largely thanks to them that our weeks are seven days long. The reason they adopted the number seven was that they observed seven celestial bodies — the Sun, the Moon, Mercury, Venus, Mars, Jupiter and Saturn.

the main reason is :

Avid astronomers and astrologers, the developed a kind of horoscope around 500 where each day of the week was assigned to one of the classical planets – the seven celestial bodies visible to the eye. These are the Sun, the Moon, Mars, Mercury, Jupiter, Venus, and saturn

Find the range of the relation.
O {-4, -3, -2, -1, 0, 1, 2, 4)}
O {-4, -2,0, 2, 4)}
O {-4,4)}
O {-3, -2, -1, 0, 1)}

Answers

Answer:

largest number -smallest number

Your puppy dug up two-thirds of the flowers in the flower bed that contained 18 flowers. How many flowers were dug up?
flowers

Answers

Answer:

12 :)

Step-by-step explanation:

18/3 = 6

Now we multiply :)

6 x 2 = 12

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

12

Step-by-step explanation:

2/3 of 18 =

1/3 of 18 = 6

(because 18 divided by 3 = 6)

2/3 of 18 = 1/3 + 1/3

therefore 2/3 of 18 = 6 + 6 = 12 (or 6 x 2)

Hope this makes sense! If you have further questions, let me know!

- profparis

a brainliest would be appreciated if i helped you! :D

a student needs to fill a tank with 9 liters of waters how many 1/3 liters of water will it take to fill the tank

Answers

It will take 27 containers of 1/3 liter to fill the tank.

Since you need 3 containers of 1/3 to have a full liter, and 9 liters for the tank, 9*3=27.

Answer:

27

Step-by-step explanation:

1= 1/3x3

3x9=27

Which expression is equivalent to 32 + 16?

Answers

24+24

.

                            .........................................                                

Divide and simplify the answer to lowest terms. Write the answer as a fraction or a whole number.
17/10 ÷ 11/4
17/10 ÷ 11/4=______?

Answers

When you divide by a fraction, flip the second fraction over and change divide to multiply:


17/10 / 11/4 = 17/10 x 4/11

Now multiply straight across:


(17 x 4) / (10 x 11) = 68/110

Simplify:

68/110 = 34/55

Answer: 34/55

17/10 divided by 11/4 =34/55 or 0.618

In a right triangle, A = 90 degrees, with side AC = 17 and angle B = 38
degrees, find BC. Round your answer to 1 decimal. Show the labeled figure and all your
work.

Answers

Answer:

The answer is 27.6

Step-by-step explanation:

I've attached a picture with the labelled figured and working steps. Hope it'll help =)

Jacob can swim the 400-meter distance in 6.4 minutes now.How many more meters per minutes will Jacob need to swim to reach is goal?Explain how you found your answer.

Answers

Answer:

62.5 meters per minutes

Step-by-step explanation:

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