[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

the angles of a triangle are (x+5)bdegree,(x+10) degree and (x+15) degree. make an equation and find the Actual sizes of the angles​

Answers

Answer:

See below ~

Step-by-step explanation:

Given : 3 angles of a Δ

(x + 5)°(x + 10)°(x + 15)°

Solving :

According to Angle Sum Property of a triangle, the angles of a triangle add up to 180°x + 5 + x + 10 + x + 15 = 1803x + 30 = 180x + 10 = 60x = 50

Finding the angles

x + 5 = 50 + 5 = 55°x + 10 = 50 + 10 = 60°x + 15 = 50 + 15 = 65°

SOMEBODY SOLVE THE EQUATION

Answers

Answer:

(the answer is in fraction form)

x= 2/3 , -5/2

Answer:

[tex]x=-\frac{5}{2} ,x=\frac{2}{3}[/tex]

Hope This Helps! :) Please Give Brainliest!

Sara is packing for vacation. She is taking three shirts: yellow (Y), white (W), , and green (G). She is also taking a pair of jeans (J), a pair of black pants , and a pair of shorts (S). For shoes, she is packing tennis shoes (T) and a pair of dress shoes (D). Each outfit will be made of shirt, pair of pants, and pair of shoes. Which list shows all possible outfits that Sara can create from these options?A. YJ,YB,YS,WJ,WB,WS,GJ,GB GS,TDB. YJ,YB,YS,YT,YD,WJ,WB,WS,WT,WD,GJ,GB,GS,GT,GDC. YBT,YBD,YST,YSD,WBT,WBD,WST,WSD,GBT,GBD,GST,GSDD. YJT,YJD,YBT,YBD,YST,YSD,WJT,WJD,WBT,WBD,WST,WSD,GJT,GJD,GBT,GBD,GST, GSD

Answers

The answer is C I think im not sure

PLEASE ANSWER ASAP WILL GIVE brainliest TO THE FIRST CORRECT ANSWER

You are hired by a state park and recreation department to determine whether it would be more economical to construct a walking bridge across a gorge or a walking path around it. The path involves walking 1170 feet, taking a 90° left turn, and walking another 520 feet. The path costs $6 per foot, and the bridge costs $11 per foot. The bridge is the preferred option when it is within $1500 of the path’s cost. Which option should you recommend? Explain. Be sure to use numbers in your explanation to support your decision.

Answers

Answer:

I would reccomend the first option the path costs $6 per foot

Which of the following is most likely the next step in the series?
od
ОА
O
O B.
OC.
OD.

Answers

The circles in the figures form a series

The next step in the series is (B)

How to determine the next step?

From the figure, we have the following highlights

The first circle has 2 segmentsThe second circle has 4 segmentsThe third circle has 5 segments

Using the above pattern, the next circle must have 6 segments

Hence, the next step in the series is (B)

Read more about series at:

https://brainly.com/question/6561461

valerie drives 500 meteres up a hill that makes an angle of 15 degrees with the horizontal. To the nearest tenth of a meter, what horizontal distance has she covered?

Answers

Answer:

Answer:

The horizontal distance she has covered is:

x = 483.0m

Step-by-step explanation:

For further info look at this : https://brainly.com/question/9437065

Help please, not sure how to do this....

Answers

Answer:

[tex]4\sqrt{2b}[/tex]

Step-by-step explanation:

[tex]\sqrt{98b}-\sqrt{72b}+\sqrt{18b}[/tex]

Apply radical rule [tex]\sqrt{ab} =\sqrt{a} \sqrt{b}[/tex]:

[tex]\implies \sqrt{98}\sqrt{b} -\sqrt{72}\sqrt{b} +\sqrt{18}\sqrt{b}[/tex]

Factor out common term [tex]\sqrt{b}[/tex]:

[tex]\implies \sqrt{b}(\sqrt{98} -\sqrt{72}+\sqrt{18})[/tex]

Rewrite 98, 72 and 18:

[tex]\implies \sqrt{b}(\sqrt{49 \cdot 2} -\sqrt{36 \cdot 2}+\sqrt{9 \cdot 2})[/tex]

[tex]\implies \sqrt{b}(\sqrt{49}\sqrt{2} -\sqrt{36}\sqrt{2}+\sqrt{9}\sqrt{2})[/tex]

[tex]\implies \sqrt{b}(7\sqrt{2} -6\sqrt{2}+3\sqrt{2})[/tex]

Factor out common term [tex]\sqrt{2}[/tex]:

[tex]\implies \sqrt{b}\sqrt{2}(7 -6+3)[/tex]

[tex]\implies \sqrt{b}\sqrt{2}(4)[/tex]

[tex]\implies 4\sqrt{2b}[/tex]

Write the equation of the line through the points (-6, -19) and (2, 5).

Answers

Answer:

y = 3x - 1

Step-by-step explanation:

The slope of a line passing through the two points

P = (x1. y1) and Q = (x2, y2) is given by

m= (y2-y1)/(x2-x1)

We have that x1= -6, y1= -19, x2= 2, y2= 5

m=3

Now, the y-intercept is b=y1 - mx1 (or b= y2 - mx2, the result is the same).

b= -19-(3)(-6)

b= -1

y = 3x - 1

If the total profit per month is Rs 200,000 and the revenue per month can be obtained as twice

the cost per month minus 50,000, find the revenue and cost per month.

Answers

Answer:

200000×2

=R400 000 and minus 50000

=300000

What is the value of b?

Answers

Answer:

24

Step-by-step explanation:

In triangle STU, line VT bisects angle STU.

-> By angle bisector theorem:

[tex] \frac{67}{2b} = \frac{67}{b + 24} \\ \\ \implies \: \frac{1}{2b} = \frac{1}{b + 24} \\ \\ \implies \: 2b = b + 24 \\ \\ \implies \: 2b - b = 24 \\ \\ b = 24[/tex]

The value of b is 24

What is angle bisector theorem ?

If we consider a triangle TSU, Let the angle bisector of angle T intersect side SU at a point V between S and U. The angle bisector theorem states that the ratio of the length of SV to the length of VU is equal to the ratio of the length of ST to the length of TU.

i.e. [tex]\frac{|SV|}{|VU|}=\frac{|ST|}{|TU|}[/tex]

How to find the value of b ?

Here, given that, SV = 2b, VU = b+24, ST = TU = 67

∴ [tex]\frac{|SV|}{|VU|}=\frac{|ST|}{|TU|}[/tex]

⇒ [tex]\frac{2b}{b+24}=\frac{67}{67}[/tex]

⇒ [tex]\frac{2b}{b+24}=1[/tex]

⇒ 2b = b+24

⇒ b = 24

Hence, b = 24

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HELP
Which speed is equivalent to 1/2 mile per hour?

Answers

the answer is b (brainly is omd)

Which diagram is NOT a good model of 3÷1/4?

Answers

Answer:

The diagram with three triangles is not a good representation.

The other diagrams have three parts divided into 4 places. The diagram of the triangles only has 3 parts in each of the three triangles. The equation for that would be 3 divided by 1/3.





Step-by-step explanation:

Have a great rest of your day
#TheWizzer

How many solutions are there to the equation below?
x²=9
A. 9
B. 0
C. 4
D. 2
E. 3
F. 1

Answers

Answer: D) 2

Step-by-step explanation:

x² = 9 means what number times itself is equal to 9

We know that 3×3=9 so that is already one solution, but there is another

-3×-3 is also equal to 9

A negative number times a negative number results in a positive number so -3 is another solution.

That gives us two solutions

Answer:

D; only 2

Step-by-step explanation:

Solve for x over the real numbers:

x^2 = 9

Take the square root of both sides:

Answer: x = 3 or x = -3

PLEASE HELP ME WITH THIS!!!
Complete the sentence.
a figure but does not change its
A rotation is a transformation that
shape or size
A. flips
O B..dilates
O C. slides
O D. turns
SUBMI

Answers

Answer:

is TURNS

Step-by-step explanation:

A figure but does not change its shape and size is Turns.

What is Transformation?

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items.

A flip is a geometric movement that involves turning an object over in a straight line to create a mirror image. The distance between each point on an object and its corresponding point on the picture is equal. A reflection is another name for a flip.

Thus, thus required transformation is Turns.

Learn more about Transformation here:

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2. A classroom fish tank contains x clchilds. The tank contains 3-times as many glowlight tetras as cichlids.
Enter an equation that represents the total number of glowlight tetras, y, in the fish tank.

Answers

The equation that represents the total number of glowlight tetras, y, in the fish tank is y = 3x.

How to form a equation?

The classroom fish tank contains x cichilds. Therefore,

number of cichilds = x

The tank contains 3-times as many glowlight tetras as cichlids.

where

y = total number  of glowlight tetras in the fish tank

Therefore, the equation that represents the total number of glowlight tetras, y, in the fish tank is as follows:

y = 3x

learn more on equation here: https://brainly.com/question/14050541

Find the area of the triangle.
16 ft
62 ft

Not drawn to scale.

A. 496 ft2

B. 248 ft?

C. 78 ft2

D. 37 ft2

Answers

Answer:

A. 496 ft2

Step-by-step explanation:

area of a triangle is

1/2 times base times height

1/2 times 16 times 62 =

496

In a certain state, speeding fines are determined by the
formula F = 5 (X-60 + 40, where F is the cost in dollars of the
fine if a person is caught driving x miles per hour. How fast a person was speeding if the fine comes to $115?

Answers

Step-by-step explanation:

If u casually solve the given equation by putting 115 instead of 'F' u will get the value of 'X' which is 43 and i guess it's the answer

3. At the school dance the ratio of
students who bought snacks to the
students who did not buy snacks is 4 to 6.
Based on this ratio, how many of these
students would buy a snack if there were
a total of 180 students that attended the
dance?

Answers

Answer:

120 students did not buys a snack :)

Step-by-step explanation:

The easiest way to do this is divide :)

Now lets solve!!

180/6 = 30

Now we multiply!!

30 x 4 = 120

Have an amazing day!!

Please rate and mark brainliest!!

What is the smallest number which is reversed when 2 is added to its double?

Answers

Answer:

25

Step-by-step explanation:

Let the number be 10x+y.

So we have 2(10x+y)+2 = 10y+x, or

20x + 2y + 2 = 10y+x, or

19x=8y-2 …(1)

Try different values of x which satisfy (1) giving an integer value of y. Moreover x should be less than y. The only value of x is 2 which gives us y = 5.

So y = 5 and x = 2.

And the answer is 25.

We can prove this by simply doing the question's equation:

50(since it's the double of 25) + 2 =

50+2= 52

Hope this helps

Given the quadrilateral below, What is the value of x?​

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

According to angle sum property of a quadrilateral, Sum of all angles of a quadrilateral measures 360°

So, let's solve for x ~

[tex]\qquad \tt \dashrightarrow \:68 + 126 + 106 + x = 360[/tex]

[tex]\qquad \tt \dashrightarrow \:300+ x = 360[/tex]

[tex]\qquad \tt \dashrightarrow \:x = 360 - 300[/tex]

[tex]\qquad \tt \dashrightarrow \:x = 60 \degree[/tex]

A farmer has 160 ft. of fencing and wants to fence off a rectangular field that borders a straight river. He needs no fencing along the river.

a) What are the dimensions of the field that has the largest area?

b) What is the maximum area?

Answers

Answer:

L and B be the dimensions of field.

L+2B =2400ft.

AreaA = L×B=L×(2400-L)/2=1200L-L^2

For max.area to use the fencing dA/dL=1200-2L=0 or L=600ft

B=(2400-600)/2=900ft.

Total area = 540000ft^2.

Maybe?

Step-by-step explanation:

Quora

The value of (2i3)3 is
IS

Answers

Answer:

Assuming you mean (2^3)3, the answer is 24

Step-by-step explanation:

using pemdas you do 2 to the third power first

2x2=4 4x2=8

then you mutiply by the number not in parenthesis; 3

8x3 = 24

Which of the following techniques will provide the most consistently correct result?

Answers

Please there are no options to be chosen from

find the sum of the first 7 terms of the following series 10,4,8/5

Answers

Answer:

16.6

Step-by-step explanation:

Since the numbers are decreasing as multiples, its a geometric progression.

[tex]S_{n}=\frac{a(1-r^{n} )}{1-r} ; r\neq 1 \ and\ r \ is\ less\ than\ 1\\common\ ratio=\frac{4}{10}=\frac{2}{5}\\ S_{7}=\frac{10(1-(2/5)^{7} )}{1-(2/5)} \\=16.6[/tex]

8r^2(r^2-2) polynomial I’m standard form expand

Answers

Answer:

  8r^4 -16r^2

Step-by-step explanation:

Use the distributive property to eliminate parentheses. Write the result in order of decreasing powers of the variable.

__

  8r^2(r^2 -2) = (8r^2)(r^2) +(8r^2)(-2)

  = 8r^4 -16r^2

Hello I need a little here with this

Answers

I may be wrong but I believe that <1=<2

Please help
(Also show work) and its volume not SA

Answers

Answer:

75 inches cubed

Step-by-step explanation:

V=lwh

2 1/2 = 2.5

4 = 4

7 1/2 = 7.5

2.5 x 4 x 7.5=75

75 cubic inches

Consider the line y=7x-1.
Find the equation of the line that is perpendicular to this line and passes through the point (-2, 4).
Find the equation of the line that is parallel to this line and passes through the point (-2, 4).
Note that the ALEKS graphing calculator may be helpful in checking your answer.

Answers

Answer:

Step-by-step explanation:

Can anyone help explaining step by step?

The height of a soccer ball in the air can be modeled by the equation h = -16t^2 +48f, where h is in feet of a ball that Cody kicks down the field.
How long is the ball in the air? (find the zeros).
What is the ball's max height? (find the vertex)
When will the ball reach its maximum height?

Answers

Answer:

3 seconds(0, 0), (3, 0)36 ft, (1.5, 36)

Step-by-step explanation:

As the problem statement suggests, the question of time in the air can be answered by finding the zeros of the function. Similarly, the question of the ball's maximum height can be answered by finding the vertex. These findings are related by the fact that the vertex is on the line of symmetry, which passes through the midpoint between the zeros.

__

(a)

The function can be factored as ...

  h = -16t(t -3)

At any zero, one of the factors must be zero. (This is the "zero product rule.") The factors are zero for t=0 and for t=3.

  The zeros are (0, 0) and (3, 0).

This tells you the height of the ball is zero initially (at t=0), and 3 seconds later (at t=3).

  The ball is in the air for 3 seconds.

__

(b)

The midpoint between the zeros is their average: (0 +3)/2 = 1.5. At that value of t, the ball will be at its maximum height.

  The ball will reach its maximum height at t=1.5 seconds.

Using the above factored form to find the height, we get ...

  h = -16(1.5)(1.5 -3) = 16(2.25) = 36 . . . feet

 The ball's maximum height is 36 feet.

_____

Additional comment

The x-coordinate of the vertex of quadratic ax²+bx+c is found at the value ...

  x = -b/(2a)

Here, that would be ...

  t = -48/(2(-16)) = 3/2

__

A graphing calculator can answer all of these questions quite rapidly.

Victor tossed a paper cup and recorded how the cup landed each time. He organized the results as shown below. Find the experimental probability that the cup will land on its side. Express your answer as a fraction in simplest form.

Right side up- 12 times
Upside down- 7 times
On its side- 21 times

Answers

Answer:

28/40

Step-by-step explanation:

12+21+7=40

21 times on its side

21/40 cannot be simplified

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