Let x be the sum of the following 2000 numbers​

Let X Be The Sum Of The Following 2000 Numbers

Answers

Answer 1

Answer:

See attached image for the sum computed using wolfram alpha, raw value is: 49382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382715160

Let X Be The Sum Of The Following 2000 Numbers
Answer 2

Answer:

Step-by-step explanation:

First, i divide all terms by 4

sequence is 1,11,111,1111,....,1111...1111 (with 2000 digits)

[tex]u_1=1\\\\u_2=11=10+1=\dfrac{10^2-1}{9}\\\\u_3=111=100+10+1=\dfrac{10^3-1}{9}\\\\u_4=1111=1000+100+10+1=\dfrac{10^4-1}{9}\\....\\u_n=\dfrac{10^n-1}{9}\\\\\\\displaystyle \sum_{i=1}^n\ u_1 =\dfrac{10^1-1}{9}+\dfrac{10^2-1}{9}+\dfrac{10^3-1}{9}+...+\dfrac{10^n-1}{9}\\=\dfrac{1}{9} *(10+10^2+10^3+....+10^n+1-1-(1+1+1+1...+1)\ )\\\\=\dfrac{1}{9}*( \frac{10^{n+1}-1}{9} -(n+1)\ )[/tex]

[tex]\boxed{4+44+444+....+444...4=\dfrac{4}{9}*( \dfrac{10^{2001}-1}{9} -2001\ )}\\\\\\\approx{4,9382716049382716049382716049383*10^{1999} }[/tex]


Related Questions

The tables represent two linear functions in a system.
A 2 column table with 5 rows. The first column, x, has the entries, negative 4, negative 2, 0, 2. The second column, y, has the entries, 26, 18, 10, 2. A 2 column table with 5 rows. The first column, x, has the entries, negative 4, negative 2, 0, 2. The second column, y, has the entries, 14, 8, 2, negative 4.

What is the solution to this system?

Answers

Answer:

how?

Step-by-step explanation:

i didnt get this question

Answer:

(8,-22)

Step-by-step explanation:

I took the quiz and did my work on paper but the paper got wet and I don't remember the steps I did

Find the value of both variables.

Answers

[tex] \cos(45) = \frac{5 \sqrt{2} }{x} \\ \frac{1}{ \sqrt{2} } = \frac{5 \sqrt{2} }{x} \\ x = 10 \\ \\ \tan(45) = \frac{y}{5 \sqrt{2} } \\ 1 = \frac{y}{5 \sqrt{2} } \\ y = 5 \sqrt{2} [/tex]

I hope I helped you ^_^

for which values of X will the rational expressions below the undefined?

Answers

Answer:

x≠-7

Step-by-step explanation:

The function will be undefined when the denominator is zero

x+7≠ 0

x≠-7

Judd bought a pack of pencils and sold it for 10% profit. Write an expression for the selling price.

Answers

selling price: 1,1x

since x 10% more than the full value (100%)

so, 110/100 . x = 1,1x

The expression which represents the selling price of the pen is

y = 1.1x  or [tex]selling\ price = 1.1\ cost\ price[/tex].

What is expression?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

What is profit?

A profit occurs when you sell something. for more than it cost.

Let x represents the cost price of the pens and y represents the selling price.

According to the question.

Judd sell the pens for 10% profit.

Now,

Profit = 10% of cost price

[tex]\implies profit = \frac{10}{100} \times x \\\implies Profit = 0.1x[/tex]

Therefore, the expression for the selling price of the pen is given by

[tex]y = cost\ price\ of\ pens + profit\\\implies y = x + 0.1x \\\implies y = 1.1x[/tex]

Hence, the expression which represents the selling price of the pen is

y = 1.1x  or [tex]selling\ price = 1.1\ cost\ price[/tex].

Find out more information about expression and profit here:

https://brainly.com/question/3927668

#SPJ2

PLEASE HELP ME! WHAT IS THE ANSWER TO THIS QUESTION? GIVE A STEP BY STEP EXPLANATION!

Answers

Step-by-step explanation:

-6(4v) + -6(9) = 42

-24v - 54 = 42

-24v = 42 + 54

-24v = 96

-v = 96/24

-v = 4

v = -4

Answer:

I think it's -33\24 V

Step-by-step explanation:

bc the equation is -6(4v+9)=42

so you would multiply -6 and 4 to get -24V +9=42

so then you would subtract 9 from both sides to cancel out the 9 and get 33

then take 33 over -24 but that isn't able to be devided so it would stay a fraction

Find the value of m.

A. 7
B. 2
C. 42
D. 14

Answers

Answer:

A. 7

Step-by-step explanation:

3m + 21 = 6m

Move variables to one side to get:

3m + 21 = 6m

-3m         -3m

21 = 3m

Then isolate variable by dividing by 3

21/3 = 3m/3

m = 7

Choice A is the correct answer

Ade thinks of a number He doubles it and then subtract 5 The result cannot be less than 100 find the range of values of x

Answers

Answer: [tex]x\in [53,\infty)[/tex]

Step-by-step explanation:

Given

Ade doubles her number and subtract 5 from it. The result cannot be less than 100

Suppose the number is [tex]x[/tex]

According to the question

[tex]\Rightarrow 2x-5\geq100\\\text{Solve the inequality}\\\Rightarrow 2x\geq105\\\Rightarrow x\geq52.5\\\text{for integer number, the range is given by }\\\Rightarrow x\in [53,\infty)[/tex]

What is the linear function equation represented by the graph?



Enter your answer in the box.


Picture below

Answers

f(x)=-1/2x + 1

You get this by finding the slope of the line.
Delta y/ Delta x. Then the constant is just the y Intercepted, which is where the function passed the y axis.

if (p+2q)/p = 7/5 , find the value of q/p , where p ≠ 0​

Answers

Answer:   1/5

Work Shown:

(p+2q)/p = 7/5

(p/p)+(2q/p) = 7/5

1 + 2(q/p) = 7/5

2(q/p) = 7/5 - 1

2(q/p) = 7/5 - 5/5

2(q/p) = (7-5)/5

2(q/p) = 2/5

q/p = (2/5)*(1/2)

q/p = (2*1)/(5*2)

q/p = 1/5

Answer:

q/p = 1/5

Step-by-step explanation:

(p+2q)/p = 7/5

Multiply each side by p

(p+2q)/p *p = 7/5*p

(p+2q) = 7p/5

Multiply each side by 5

(p+2q)*5 = 7p/5 *5

5p + 10q = 7p

Subtract 5p from each side

5p + 10q -5p = 7p -5p

10 q = 2p

divide each side by p

10q/p = 2p/p

10 q/p = 2

Divide each side by 10

q/p = 2/10

q/p = 1/5

Find the perimeter of this semi-circle with diameter, d = 22cm.
Give your answer as an expression in terms of t.

Answers

Answer:

=22tcm

Step-by-step explanation:

Perimeter of a circle =πD

But π=t

hence perimeter; = 22tcm

where t=π

The height of a baseball in feet can be found by the equation -4.982 – 20t + 1000. How far has the
baseball traveled at t = 6?

Answers

Answer:

875.018

Step-by-step explanation:

To solve this, we must plug in 6 for our t value. So, we have the equation:

-4.982 - 20(6) + 1000

Following the rules of PEMDAS, we have:

-4.982 - 120 + 1000 = 875.018

How many amount will be reqyired to plaster on the four walls at the rate of Rs 315per square meter?find it​

Answers

Incomplete question

Let the area be = 100 square meter

Cost of plaster = Rs 315 per square meter

No of walls = 4

Total area = 400 square meter

Then cost = 400 × 315

= Rs 1,26,000

Answered by Gauthmath must click thanks and mark brainliest

Sorry need pointsssss :-p

write in mapping notation

Answers

f: x -> 3x(powerof2) - 2

The coordinates of the vertices of EFG are E(−4, 5), f (-1, 1), and G (3, 4), determine whether efg is a right tringle

Answers

Yes when lined up correctly the points make up a right triangle


The marked price of a radio was 40% above the cost price. When it was sold allowing 30% discount on it, there was loss of RS. 100. What was the marked price of the radio.​

Answers

Answer:

7000

Step-by-step explanation:

70/100 * marked price = original price - 100

marked price = 140/100* og price

70/100 * 140/100 * og price = original price - 100

49/50 * og price = orignal price - 100

1/50 of original price = 100

orignal price = 5000

marked price = 140/100 * 5000 = 7000

can you just fill in the chart
question on the image.​

Answers

For the missing Y, replace x in the given equations and solve for y.

y = 2(-1) -1 = -2-1 = -3

y = 2(2)-1 = 4-1 = 3

The missing y values are -3 and 3

4 of 4
5 positive integers are arranged in ascending order, as follows:
3, 4, 8, 12, X
The mean and the median are equal.
Find X.
x

Answers

Answer:

x = 13

Step-by-step explanation:

3, 4, 8, 12, x

I went and solved for the mean and median and try to find out the best number that fits well for the mean and median to be equal

3, 4, 8, 12, 13

x = 13

Please help solve 1, and 2

Answers

Answer:

Step-by-step explanation:

1). WXYZ is a rectangle,

  Properties of a rectangle,

  i). Opposite sides are equal and parallel.

  ii). All interior angles measure 90°.

  iii). Diagonals are equal in measure.

a). WY = ZX = 30

 Therefore, ZT = [tex]\frac{1}{2}(ZX)[/tex]

                    [tex]ZT=15[/tex]

b). WY = ZX = 45

c). Since, WY = ZX,

    (4b - 16) = (3b + 5)

    4b - 3b = 16 + 5

     b = 21

2). GOAT is a rhombus and m∠OGA = 35°,

    a). m∠TGA = m∠OGA = 35°

    b). m∠GXO = 90°

    c). m∠GXT = 90°

    d). Since adjacent angles of a rhombus are supplementary,

         m∠OGT + m∠GTA = 180°

         70° + m∠GTA = 180°

         m∠GTA = 110°

         m∠GTO = [tex]\frac{1}{2}(m\angle GTA)[/tex]

                        = [tex]\frac{1}{2}(110^{\circ})[/tex]

                        = 55°

     e). Since, opposite angles of a rhombus are equal,

          m∠OGT = m∠OAT = 70°

     f). m∠GOA = m∠GTA = 110°

Help please ! Thank you!

Answers

:) :) :) :) :) :) :) :) :) :) :) :) :)

Help plz ffggggggggggggggggggggggggggggg

Answers

Answer:

< EFG

< GFE

Step-by-step explanation:

The letter for the vertex must be in the middle

< EFG

< GFE

<F

P= 3in
a) find the length of each side of the square
b) find the area of the square

Answers

Step-by-step explanation:

what does P mean ?

I assume it is perimeter ?

what is the perimeter of a square ?

come on, there is practically nothing in math that is easier to solve.

a square has 4 equal sides.

so, to go one time around the whole square, we have to go along every one of its 4 sides (which are all of equal length).

so, when I get the perimeter number, I know this is the result of all 4 sides added together.

and how can we express having 4 times the same number ? exactly how we say it in English : 4 times the number.

therefore

P = 4 × side length

and from there we can immediately deduct

side length = P / 4 = 3/4 in

now we know how long the sides of the square are.

what is the area of the square ?

like for any rectangle the area is length×width. just that length=width, so that we end up with length×length = length².

therefore, the area is

3/4 × 3/4 = (3/4)² = 9/16 in²

this is important : a length is measured e.g. in inches (in). an area is then measured in square-inches = in²

SOMEONEEEE HELPPP MEEEE OUTTTT!!!!

Answers

Answer:

24°

Step-by-step explanation:

cos ? = 41/45

? = arccos 41/45

? = 24

Answered by GAUTHMATH

help please i’ve been in here for hours looking for answers

Answers

Answer:  Second row

The y intercept is 2

=============================================================

Explanation:

The y intercept always occurs when x = 0. Visually, the y intercept is the location where the graph crosses the y axis.

In the table, we see that x = 0 pairs up with y = f(x) = 2 in the second row. So we can say that the y intercept is 2.

Side note: the x intercept is 1 since it occurs when y = 0.

The second row is correct

Two numbers are respectively 40% and 60% more than a third number. The ratio of the two numbers is:

Answers

Answer:

7:8

Step-by-step explanation:

If the squad root of 16 = x, then 2x =

Answers

Step-by-step explanation:

Mark me as the brainliest

Consider the three triangular pyramids.

Pyramid 1
Pyramid 2
Pyramid 3

Triangular pyramid 1. The base has a base of 12 meters and height of 2 meters. The height of the pyramid is 10 meters.

Triangular pyramid 2. The base has a base of 6 meters and height of 4 meters. The height of the pyramid is 10 meters.

Triangular pyramid 3. The base has a base of 12 meters and height of 4 meters. The height of the pyramid is 5 meters.

Which statement about their volumes is true? (Recall the formula V = one-third B h.)

O All three pyramids have the same volume.
O All three pyramids have different volumes.
O Only pyramids 1 and 2 have the same volume.
O Only pyramids 1 and 3 have the same volume.

Answers

9514 1404 393

Answer:

  (a) All three pyramids have the same volume

Step-by-step explanation:

The triangular base has an area of ...

  B = 1/2bh . . . . where b is the base of the triangle and h is its height.

The volume of the pyramid is ...

  V = 1/3BH . . . . where B is the area of the base, and H is the height of the pyramid.

Combining these equations gives ...

   V = 1/3(1/2bh)H = 1/6bhH

__

Pyramid 1 volume

  V1 = 1/6(12 m)(2 m)(10 m) = 40 m³

Pyramid 2 volume

  V2 = 1/6(6 m)(4 m)(10 m) = 40 m³

Pyramid 3 volume

  V3 = 1/6(12 m)(4 m)(5 m) = 40 m³

All three pyramids have the same volume.

Make an Inequality! Twice the difference of a number and 7 is less than -30. Use c as the variable.

Answers

Answer:

7 - 2c < - 30

*To do this equation you would have to start with -30, because of "less than"

Hope this helps.

What is the value of q?

Answers

is the equivalent of the value of p most of a hypothetical answer.

PLEASE HELP ME I DONT UNDERSTAND

Answers

Answer:

no

Step-by-step explanation:

the square root of 2 is not rational

Find the volume of this cylinder please. ASAP

Answers

Answer:

125.66

Step-by-step explanation:

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