Find the value of UV
X=15 I think

Find The Value Of UVX=15 I Think

Answers

Answer 1

Answer:

UV = 12

Step-by-step explanation:

SV = ST + TU + UV ( substitute values )

4x - 29 = 13 + 6 + 2x - 18

4x - 29 = 1 + 2x ( subtract 2x from both sides )

2x - 29 = 1 ( add 29 to both sides )

2x = 30 ( divide both sides by 2 )

x = 15

Then

UV = 2x - 18 = 2(15) - 18 = 30 - 18 = 12


Related Questions

there is a 91% chance of seeing a shooting star in the next hour, what is the probability of seeing a shooting star in the next half hour?

Answers

136.5 percent chance.

91 percent in one hour

how much percent in 1.5 hour?

we need to find how much percentage is in 0.5 hour

91 divided by 2 = 45.5

91 + 45.5 = 136.5

Am i bad? pls tell

Rita bakes pies at a bakery. the number of pies she can bake, x, is limited by the ingredients they have in stock. this situation is represented by 2x - 3 < 7 and 5 - x < 8 solve the compound inequality and write the viable solutions.

Answers

The viables solutions for the given compound inequality are x ∈ (-3, 5).

According to the given question.

The number of pies baked by Rita is x which is limited by ingredients.

Also, the inequalities which represent the situation are

2x - 3 < 7

And, 5 - x < 8

Since, we have to solve the above inequality and find its solutions.

From the given inequality

2x - 3 <7  we can say that,

2x < 7 + 3

⇒ 2x < 10

⇒ x < 5 ..(i)

And, 5 - x < 8

⇒  5 - 8 < x

⇒ - 3 < x

or, x < -3 ..(ii)

From i and ii we can say that the solution of the given compound inequality are the numbers which lies in between  -3 and 5 or x ∈ (-3, 5).

Hence, the viables solutions for the given compound inequality are

x ∈ (-3, 5).

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Order these numbers from least to greatest.
2.106, 1.1512, 2.1, 2.16

Answers

Answer:

1.1512, 2.1, 2.106, 2.16

Answer:

1.1512, 2.1, 2.106, 2.16

Step-by-step explanation:

1.1512 is the lowest cause it starts with 1

then 2.1 cause it has no more numbers to make it larger than the last two

then 2.106 because there is a 0 separating the 1 and 6 which makes the number smaller

which leaves you with 2.16 as the lasrgest

Exspression 19- 11 is the amount by which

Answers

The expression 19-11 is The amount by which
11 Exceeds 8.
19 exceeds 11.
19 is less than 11.
11 is less than 8.

"If PQ+ RS = PS and RS = XY, then PQ + XY = PS"




Please
Help

Answers

Answer:

Substitution property.

Step-by-step explanation:

The substitution property is just like saying, "If a variable, b, equals c, then b will be substituted for c, and it goes for c being substituted as b, too."

➲ Hope this helps.

Translate this phrase into an algebraic expression, Nine more than the quotient of a number and 7 is 6

Answers

Answer:

x/7 + 9 = 6

Step-by-step explanation:

Hope this helps! Please give brainliest!

suppose your group measures the following three numbers in some experiment: 12.4,7.8,10.2. if you use half the range as an estimate of the standard deviation, what is the standard error on the mean of these numbers?

Answers

The standard error on the mean of these numbers is 1.08

For given question,

suppose your group measures the following three numbers in some experiment: 12.4,7.8,10.2

Mean of these numbers is:

[tex]\bar x=\frac{ 12.4+7.8+10.2}{3}\\\\ \bar x=10.13[/tex]

So the standard deviation would be,

[tex]\sigma=\sqrt{\frac{(12.4-10.13)^2+(7.8-10.13)^2+(10.2-10.13)^2}{3} }\\\\\sigma=1.88[/tex]

Now we find  the standard error on the mean of these numbers.

[tex]\sigma_M=\frac{\sigma}{\sqrt{N} }[/tex]

where, [tex]\sigma_M[/tex] = standard error of the mean

σ = the standard deviation of the original distribution

N = the sample size

[tex]\sigma_M=\frac{1.88}{\sqrt{3} }\\\\\sigma_M=1.08[/tex]

Therefore, the standard error on the mean of these numbers is 1.08

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here are the exam grades of 15 students:88, 48, 60, 51, 57, 85, 69, 75, 97, 72, 71, 79, 65, 63, 73 use excel function to compute the quartiles and the interquartile range.the first quartile q1 is .the second quartile q2 is the third quartile q3 is .the interquartile range iqr is

Answers

Similarly, Q1 is obtained as the median of the lower half as (7+1)/2th = 4th observation i.e 60.

Similarly, Q3 is obtained for the upper half as 79 (4th upper half)

IQR (Interquartile Range) = Q3 - Q1 = 79 - 60 = 19

What is Interquartile Range?

The interquartile range is a gauge for where a data set's "middle fifty" lies. An interquartile range (IQR) measures where most of the values lay, whereas a range measures where a set's start and finish are. For this reason, it is preferable when reporting things like academic performance or SAT scores over many other measures of spread.

The interquartile range IQR is 19

In ascending order we have: 48,51,57,60,63,65,69,71,72,73,75,79,85,88,97

Also, we get sample size (n) = 15 (odd)

So, Median = Q2 = (n+1)/2th observation

Median = (15+1)/2th term = 8th observation

Median = Q2 = 71

The formula for the interquartile range is the first quartile less the third quartile:

IQR = Q3 - Q1.

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2³-2"=29
n=
Find the value of n

Answers

Answer:

[tex]2 + 2 + 2 - 2 = 29[/tex]


The greenhouse at the right is a regular octagonal pyramid with a height of 5 feet. The base has side lengths of 2 feet. What is the volume of the greenhouse?

Answers

Volume of a regular Octagon pyramid is = 96.55 [tex]feet^3[/tex]

In the given statement is:

The greenhouse at the right is a regular octagonal pyramid with a height of 5 feet. The base has side lengths of 2 feet.

To find the Volume of the greenhouse

We know that the :

Area of Regular Octagonal Pyramid is [tex]2a^{2}(1+\sqrt{2} )[/tex]

a = side of an octagonal

and, a= 2 feet

Let's find Area of Octagonal :

Now, putting the value of a in above formula:

[tex]2(2^{2} )(1+\sqrt{2} )\\\\8(1+\sqrt{2} )\\\\=19.31 feet^{2}[/tex]

Now, Volume of the green house

Volume of a regular Octagon pyramid is = Area of an Octagon x height

Height = 5 feet

Now,   Volume of a regular Octagon pyramid is = 19.31×5

Volume of a regular Octagon pyramid is = 96.55 [tex]feet^3[/tex]

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The function f is defined as followed
f(x)=3x^2+1
More info linked please help with proper answer: find the expression for g(x)

(if you are good at this please help with the next two I will post soon after you answer)

Answers

Check the picture below, which is just a template for transformations.

so hmmm if we grab f(x) and move it downwards by 8 units, that means that the value for "D" gets a -8 added to it, so let's do that.

[tex]f(x)=3x^2+1\qquad \implies f(x)=\stackrel{A}{3}(\stackrel{B}{1}x+\stackrel{C}{0})^2+\stackrel{D}{1} \\\\\\ g(x)=3(1x+0)^2+1+(-8)\implies {\LARGE \begin{array}{llll} g(x)=3x^2-7 \end{array}}[/tex]

the time, in minutes, it took each of 11 students to complete a puzzle was recorded and is shown in the following list, along with the five-number summary. 9, 17, 20, 21, 27, 29, 30, 31, 32, 35, 58

Answers

No, there is only one outlier at 58 minutes.

What are outliers in data?

An observation that differs abnormally from other values in a population-based random sample is referred to as an outlier. In a way, this definition defers to the analyst's (or a consensus process') judgment as to what constitutes aberrant behavior. It is vital to define typical observations before distinguishing aberrant ones.

How do you calculate the outlier?

A data point is considered an outlier if it is more than 1.5 times the IQR below the first quartile or more than 1.5 times the IQR above the third quartile, according to the general criterion for utilizing it to compute outliers. The first and third quartile percentiles must be known in order to compute the IQR.

Complete question -

The time, in minutes, it took each of 11 students to complete a puzzle was recorded and is shown in the following list.

9, 17, 20, 21, 27, 29, 30, 31, 32, 35, 58

One of the students who completed the puzzle claimed that there were two outliers in the data set. Based on the 1.5×IQR rule for outliers, is there evidence to support the student's claim?

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a pesticide manufacturer is developing a new type of organic pesticide for a particular plant. to study the effectiveness of the new pesticide, a large sample of young plants is collected. the sample is then separated into many groups of two plants based upon age, size and soil type so that plants with similar characteristics are grouped together. one of the two plants in each group is randomly chosen and administered the pesticide, while both plants are placed in a controlled environment and are exposed to the possibility of attack from the target pests. the plants are inspected regularly over a 3 month period and the results are recorded for comparison.

Answers

According to the question, the study is based on the organic pesticide for a particular plant. The pesticide manufacturer is developing a new type of organic pesticide for the particular plants. To understand the application of a new organic pesticide, then perform one experiment where the members of plants have controlled the environment for the testing purpose. In this way, plants can be protected from pest attack. These types of experiments fall under matched pair experiments.

In the matched pair experiments, the samples are divided into two parts. The first part should be based on some controlled characteristics, whereas the other one should be based on randomly assigned characteristics.

What are matched pair experiments.?

Matched pair designs are experimental based designs. In this, one group is protected in a controlled environment whereas the other one is in a random environment.

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What is the answer to 3/10=15/50

Answers

Answer: 3/10 times 5 equals 15/50

Step-by-step explanation: First you do 3 times 5 which equals 15 and then 10 times 5 to get 50, which together make 15/50 and to make sure it's right check it by finding the greatest common factor they both have.

Answer:

5/5

Step-by-step explanation:

3 will enter 15, 5 times

n 10 will enter 50, 5 times


It costs $24.99 for a pizza
pasta for 4 people. Drinks are an
Extra$2.99 each. How much would it cost
for 4 people to eat and drink?

Answers

The final answer for this is $36.95.

Now, if we se the explanation

We have, the cost for pizza and pasta for four people is $24.99

and,

the cost of drink for single person is $2.99

Now, if we calculate the cost of drinks for all the four person,

it would be $2.99 × 4 = $11.96.

It is the cost of drinks only for four people.

we have already given the cost of eat I.e. $24.99

total cost for four people to eat and drink is

= $11.96 + $24.99

=  $36.95

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∠A and \angle B∠B are vertical angles. If m\angle A=(7x+22)^{\circ}∠A=(7x+22)

and m\angle B=(8x+20)^{\circ}∠B=(8x+20)

, then find the measure of \angle A∠A.

Answers

Based on the definition of vertical angles, m<A = 36°.

What are Vertical Angles?

Two angles that are vertically opposite to each other are called vertical angles, and they have congruent angle measures. That is, vertical angles are equal.

Angles A and B are vertical angles, then, they are equal to each other.

m<A = (7x + 22)°

m<B = (8x + 20)°

m<A = m<B

Substitute

7x + 22 = 8x + 20

7x - 8x = -22 + 20

-x = -2

x = 2

m<A = 7x + 22

Plug in the value of x

m<A = 7(2) + 22

m<A = 14 + 22

m<A = 36°

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Write an indirect proof of each statement.
Given: x y is an odd integer.
Prove: x and y are both odd integers.

Answers

By assuming that one of the two integers is even we will reach an absurd, and in that way, prove the given statement.

How to prove the statement?

Remember that an odd integer number is written as:

A = (2n + 1)

While an even number would be written as:

B = 2n

Where n is a random integer.

Then if x times y is an odd integer we can write:

x*y = (2n + 1)

Where n, m ∈ Z.

Where Z is the set of integer numbers.

Now, let's do find an absurd. Let's suppose that one of the two numbers is even, then we can write:

x = 2m

And y can be even or odd, it does not matter, but it is an integer.

Replacing that we get:

x*y = (2m)*y

We can rewrite that as:

(2m)*y = 2*(m*y)

We know that integer numbers are closed under the product, and here m and y are integers, then m*y is also an integer.

Thus, 2*(m*y) is 2 times an integer, then that is an even number, which is absurd because we know that it should be odd. So, if at least one of the two integers is even, then the product will also be even.

Then if the product is odd, neither of the integers can be even, then we conclude that both of the integers are odd integers.

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AP STATS.
does anyone know how to divide these and calculate frequency?

Answers

Answer:

class:11-20

21-30

31-40

.

.

.

81-90

Step-by-step explanation:

The Munchery Restaurant advertises that you
can have a different lunch combination every
day of the year. They offer 12 different kinds
of soups, 6 different sandwich meats and 4
different kinds of bread. Is their claim valid?
Explain.
brosse sit

Answers

There of  288 different kinds of  lunch combination .

What is combination ?

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order. Permutations and combinations can be mixed up.

The Munchery Restaurant advertises that you can have a different lunch combination every day of the year.

types of soups  =  12

types of sandwich = 4

types of bread = 4

find the number of combinations we multiply all the possible types we have

Number of combinations = 12 × 6 ×  4  =  288

There of  288 different kinds of  lunch combination .

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Mandy has $40 in a savings account. The interest rate is 5%, compounded annually. To the nearest cent, how much will she have in 2 years

Answers

Amount after 2 years is $44.1

Compound interest formula

[tex]A=P(1+\frac{r}{n}) ^{nt}[/tex]

A= Amount after t years.

P= Principal amount.  

r= Interest rate (decimal)

n=Period of compounding

t= Time

So ,

[tex]A=40(1+\frac{0.05}{1}) ^{1*2}\\ =40(1.05) ^{2}\\ = 40*1.1025\\ = 44.1[/tex]

Amount after 2 years is $44.1

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Monthly Water Bills
Jan Feb Mar Apr May June July Aug Sept Oct Nov Dec
x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12
$40 $42 $40 $38 $48 $50 $58 $62 $56 $46 $44 $44
Write the formula for the mean water bill for the entire year using sigma notation.

Answers

The calculation for the average water bill for such entire year in sigma notation.

[tex]\bar{x}=\frac{1}{12} \sum_{i=1}^{12} x_i[/tex]

What is the sigma notation?

To depict a series in a succinct format, summation or sigma symbols can be employed. The sum is denoted by the Greek capital letter ∑, The series 4+8+12+16+20+24 has the formula 6∑n=14n. As n increases from 1 to 6, the statement is read as the total of 4n.

What is the purpose of sigma notations?

Summation notation (also known as sigma notation) allows us to express a large sum in a single phrase.

What is the definition of a math term?

The mean in mathematics and statistics is the average of a set of values. There are several methods for computing the mean, including the simple arithmetic mean, the geometric mean, and the harmonic mean.

According to the given data:

 x₁       x₂     x₃     x₄      x₅      x₆      x₇     x₈      x₉     x₁₀     x₁₁     x₁₂

$40   $42  $40  $38  $48   $50  $58  $62  $56  $46   $44   $44

The calculation for the average water bill for such entire year in sigma notation.

[tex]\bar{x}=\frac{1}{12} \sum_{i=1}^{12} x_i[/tex]

  [tex]\bar{x}[/tex] = (40+42+40+38+48+50+58+62+56+46+44+44)/12

     = 568/12

     = 47

The calculation for the average water bill for such entire year in sigma notation.

[tex]\bar{x}=\frac{1}{12} \sum_{i=1}^{12} x_i[/tex]

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An altitude is drawn to the base of equilateral triangle abc. if ac=13, find the length of the altitude.

Answers

The length of the altitude of the equilateral triangle ABC is [tex]\frac{13\sqrt{3} }{2}[/tex].

Equilateral Triangle is defined as the triangle with all the sides equal and all the angles = 60 deg.

Altitude of a Triangle can be defined as the perpendicular drawn from the vertex of a triangle to the opposite side.

According to the question

In the figure given below

In ΔADC

Since ΔADC is a right angle triangle we can apply Pythagoras Theorem.

Let the sides of the equilateral triangle be "a". and "h" be the altitude.

Since the altitude is of equilateral triangle it divides the base i.e. DC=a/2

[tex](AC)^{2} =(AD)^{2}+(DC)^{2}[/tex]

[tex]a^{2} =h^{2}+(\frac{a}{2})^{2}\\ \\ h^{2}=\frac{4a^{2}-a^{2}}{4} \\ \\ h=\sqrt{3} *\frac{1}{2} *a[/tex]

Substituting the value of a=13 we get

Altitude [tex]h=\frac{13\sqrt{3} }{2}[/tex]

Therefore , The length of the altitude of the equilateral ΔABC is [tex]\frac{13\sqrt{3} }{2}[/tex].

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What is the area of the shades region below

Answers

Answer:

243m²

Step-by-step explanation:

work out 18x18=324

work out 9x9=81.

324-81= 243

In a class of 30 students, 15 students have taken English, 10 students have taken English but not French. Find the number of students have taken: (i) French, and (ii) French but not English.

Answers

By using arithmetic operation, we get  Number of students taken French is 20 and Number of students taken French not English is 5

What do you mean by arithmetic operation?

A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.

Given:

Total no. of students is  [tex]30[/tex]

Number of students taken English is [tex]15[/tex]

Number of students taken English but not French is [tex]10[/tex]

(i) Number of students taken French = Total no. of students -  Number of students taken English but not French

                                                             [tex]= 30-10\\=20[/tex]

(ii)  Number of students taken French not English = Number of students taken French - Number of students taken English

                                                                         [tex]=20-15\\=5[/tex]

Therefore, by using arithmetic operation, we get  Number of students taken French is 20 and Number of students taken French not English is 5

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Answer:

By using arithmetic operation, we get  Number of students taken French is 20 and Number of students taken French not English is 5

What do you mean by arithmetic operation?

A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.

Given:

Total no. of students is  

Number of students taken English is

Number of students taken English but not French is

(i) Number of students taken French = Total no. of students -  Number of students taken English but not French

                                                           

(ii)  Number of students taken French not English = Number of students taken French - Number of students taken English

                                                                       

Therefore, by using arithmetic operation, we get  Number of students taken French is 20 and Number of students taken French not English is 5

PLS HELP MARKING BRAINLIEST pls answer correctly

Answers

Answer:

24

Step-by-step explanation:

Let x be shirts.

Write an equation.

13x=321

Divide 13 from both sides.

x≈24.69

So, the soccer team can only buy 24 shirts, because it cannot go over the budget.

Hope this helps!

Please mark as brainliest if correct!

angle q and angle r are complementary. the measure of angle q is 26 degrees less than the measure of r. find the measure of each ang;e

Answers

Based on the definition of complementary angles, the measures are:

m<q = 32°

m<r = 58°

What are Complementary Angles?

Tow angels are complementary if both angles give a sum of 90 degrees.

The sum of angle q and angle r would give 90 degrees because they are complementary angles. Therefore, we would have the following:

m<r = ?

m<q = m<r - 26

Plug in the values

m<r - 26 + m<r = 90

2(m<r) - 26 = 90

2(m<r) = 90 + 26

2(m<r) = 116

2(m<r)/2 = 116/2

m<r = 58°

m<q = m<r - 26 = 58 - 26

m<q = 32°

Therefore, based on the definition of complementary angles, the measures are:

m<q = 32°

m<r = 58°

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function 1, 2, 3, and 4
Label if 1-4 are linear or non linear
picture of function linked!

Answers

Answer:

1. Not Linear

2. Linear

3. Linear

4. Linear

Step-by-step explanation:

Linear means it follows the form y = mx + b

1. The x value increases by 2 each time, but the y value doubles each time. They are increasing at different rates, so they are not linear.

2. The x value is increasing by 3 each time, and the y value is deceasing by 1 each time. Slope (m) of this line would be -1/3

3. The x value is increasing by 4 each time, the y value is increasing by 3 each time. Slope (m) of this line would be 4/3

4. The x value is increasing by 1 each time, the y value is constantly -3. This means that the line is a horizontal line, which is linear with a slope of 0. So the equation of this line would be y = 0x -3 ---->  y = -3

Can someone explain this im trying to get it but I can’t

Answers

Answer:

Step-by-step explanation:
2x=x+9
subtract the x from both sides
(2x - 1x) (1x-1x)
1x 1-1= 0 so x cancels out

1x=9

divide both sides by 1x

(1x/1x) (9/1x)

1/1 cancels out so that becomes x by its self

9/1 = 9

x=9


2x-x+9
First, you would group your like terms together by circling them.
(2x)(-x)+9
Pretend the parentheses are circles.
Your -x will act as -1x because if you ever see a +x or -x there is always an invisible 1 there.
Next you would do like you would normally do to subtract something except you just have x right there. 2-1 is 1. So 1x.
Lastly, you put 9 and 1x together, so therefore your answer will be 1x+9, or x+9. I tried my best to explain this and I really hope it helped.

In Algebra class, the average score on the second test is 76 points, all students scored within 5 points of the average. If x represents a student's score, write an equation that represents the minimum and maximum scores.


|x - 5| = 76
|x + 5| = 76
|x - 76| = 5
|x + 76| = 5

Answers

The equation to model the maximum and minimum scores is given by |x - 76| = 5

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the student score. All students scored within 5 points of the average, hence:

|x - 76| = 5

The equation to model the maximum and minimum scores is given by |x - 76| = 5

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Please help!!

Here are Stages 1-4.

What stage will have closest to 1,000,000,000 circles?

Use a calculator if it helps you with your thinking.

Answers

Answer:
1,073,741,824

Explanation:
2, 4, 8, 16
Multiplying by 2
2 x 2 = 4
4 x 2 = 8
8 x 2 = 16
16 x 2 = 32
32 x 2 = 64
64 x 2 = 128
128 x 2 = 256
256 x 2 = 512
512 x 2 = 1,024
1,024 x 2 = 2,048
2,048 x 2 = 4,096
4,096 x 2 = 8,192
8,192 x 2 = 16,384
16,384 x 2 = 32,768
32,768 x 2 = 65,536
65,536 x 2 = 131,072
131,072 x 2 = 262,144
262,144 x 2 = 524,288
524,288 x 2 = 1,048,576
1,048,576 x 2 = 2,097,152
2,097,152 x 2 = 4,194,304
4,194,304 x 2 = 8,388,608
8,388,608 x 2 = 16,777,216
16,777,216 x 2 = 33,554,432
33,554,432 x 2 = 67,108,864
67,108,864 x 2 = 134,217,728
134,217,728 x 2 = 268,435,456
268,435,456 x 2 = 536,870,912
536,870,912 x 2 = 1,073,741,824

Hence, at the stage [tex]1,073,741,824[/tex] it reached nearest to [tex]1,000,000,000[/tex].

What is the circle?

A circle is a round-shaped figure that has no corners or edges.

In geometry, a circle can be defined as a closed, two-dimensional curved shape.

So, the calculation is:-

Now, Multiplying by [tex]2[/tex]

[tex]2 * 2 = 4[/tex]

[tex]4 * 2 = 8[/tex]

[tex]8 * 2 = 16[/tex]

[tex]16 * 2 = 32[/tex]

[tex]32 * 2 = 64[/tex]

[tex]64 * 2 = 128[/tex]

[tex]128 * 2 = 256[/tex]

[tex]256 * 2 = 512[/tex]

[tex]512 * 2 = 1,024[/tex]

[tex]1,024 * 2 = 2,048[/tex]

[tex]2,048 * 2 = 4,096[/tex]

[tex]4,096 * 2 = 8,192[/tex]

[tex]8,192 * 2 = 16,384[/tex]

[tex]16,384 * 2 = 32,768[/tex]

[tex]32,768 * 2 = 65,536[/tex]

[tex]65,536 * 2 = 131,072[/tex]

[tex]131,072 * 2 = 262,144[/tex]

[tex]262,144 * 2 = 524,288[/tex]

[tex]524,288 * 2 = 1,048,576[/tex]

[tex]1,048,576 * 2 = 2,097,152[/tex]

[tex]2,097,152 * 2 = 4,194,304[/tex]

[tex]4,194,304 * 2 = 8,388,608[/tex]

[tex]8,388,608 * 2 = 16,777,216[/tex]

[tex]16,777,216 * 2 = 33,554,432[/tex]

[tex]33,554,432 * 2 = 67,108,864[/tex]

[tex]67,108,864*2 = 134,217,728[/tex]

[tex]134,217,728* 2 = 268,435,456[/tex]

[tex]268,435,456 * 2 = 536,870,912[/tex]

[tex]536,870,912* 2 = 1,073,741,824[/tex]

Hence, at the stage [tex]1,073,741,824[/tex] it reached nearest to [tex]1,000,000,000[/tex].

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