no link no bot right please

No Link No Bot Right Please

Answers

Answer 1

9514 1404 393

Answer:

  10.49

Step-by-step explanation:

Since we know 110 = 10² +10, we can make a first approximation to the root as ...

  √10 ≈ 10 +10/21 . . . . . where 21 = 1 + 2×integer portion of root

This is a little outside the desired approximation accuracy, so we need to refine the estimate. There are a couple of simple ways to do this.

One of the best is to use the Babylonian method: average this value with the value obtained by dividing 110 by it.

  ((220/21) + (110/(220/21)))/2 = 110/21 +21/4 = 881/84 ≈ 10.49

An approximation of √110 accurate to hundredths is 10.49.

__

The other simple way to refine the root estimate is to carry the continued fraction approximation to one more level.

For n = s² +r, the first approximation is ...

  √n = s +r/(2s+1)

An iterated approximation is ...

  s + r/(s +(s +r/(2s+1)))

The adds 's' to the approximate root to make the new fraction denominator.

For this root, the refined approximation is ...

  √110 ≈ 10 + 10/(10 +(10 +10/21)) = 10 +10/(430/21) = 10 +21/43 ≈ 10.49

_____

Additional comment

Any square root can be represented as a repeating continued fraction.

  [tex]\displaystyle\sqrt{n}=\sqrt{s^2+r}\approx s+\cfrac{r}{2s+\cfrac{r}{2s+\dots}}[/tex]

If "f" represents the fractional part of the root, it can be refined by the iteration ...

  [tex]f'=\dfrac{r}{2s+f}[/tex]

__

The above continued fraction iteration adds 1+ good decimal places to the root with each iteration. The Babylonian method described above doubles the number of good decimal places with each iteration. It very quickly converges to a root limited only by the precision available in your calculator.


Related Questions

How to determine the domain and range of a continuous graph

Answers

Answer:

Step-by-step explanation:

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.                                        

The ratio of boys and girls are 2:5. If the total number of students in school are 350, find the number of girls.

Answers

Answer:

250 girls

Step-by-step explanation:

Add the ratio together (2+5=7), then do 350÷7=50

50 is one part of the ratio so to find how many girls, you would do 50x5=250

Mikey's family is taking a road trip. Their car can travel no more than 260 miles without needing to refill the gas tank. They have traveled 112 miles since they last filled the gas tank.

Mikey knows that the inequality representing this situation is 112+x≤260.

Select from the drop-down menu to correctly interpret the solution of this inequality.

Mikey's family can drive
at most 148
more miles before they need to refill the gas tank.
Answers choices are:
More than 372
More than 372
at most 148
at least 148

Answers

The solution to the inequality is that Mikey's family can drive at most 148

Inequality shows the non equal comparison of numbers or expressions.

Given that Mikey situation can be represented by the inequality:

112 + x ≤ 260

Solving the inequality:

112 + x ≤ 260

Subtract 112 from both sides of the equation:

112 + x - 112 ≤ 260 - 112

x ≤ 148

Hence from the inequality, we can see that Mikey's family can drive

at most 148

Find out more at: https://brainly.com/question/25285332

What two numbers multiply to -15 and add to 8

Answers

3 and 5

Explaining
3x5=15
3+(5)=15

75% of what equals 30

Answers

Answer:

30 is 75% of 40

Step-by-step explanation:

We have, 75% × x = 30 or, 75/100 x = 30. Multiplying both sides by 100 and dividing both sides by 75,  x = 40.

And if you are using a calculator, simply enter 30×100÷75, which will give you the answer.

Hey there!

75% of ? = 30

75% of x = 30

75/100 * x = 30

75 ÷ 25 / 100 ÷ 25 * x = 30

3/4 * x = 30

MULTIPLY 4/3 to BOTH SIDES

4/3 * 3/4x = 4/3 * 30

CANCEL out: 4/3 * 3/4 because that gives you 1

KEEP: 4/3 * 30 because it helps solve for your answer

x = 4/3 * 30

SIMPLIFY IT

x = 40

Therefore, 75% of [40] = 30

Answer: 40

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

if there was a group of ten people the probability of them being born on the same day of the same year is 1, true or false and why

Answers

Answer:

Step-by-step explanation:

It's completely false. If I remember the odds it takes 23 people to get a probability of 1/2 to get a 50% chance of two of the people to have the same day, never mind the same year.

When I was growing up, I had the pleasure of sharing my birthday on the same day as one of my classmates. I was in Grade Three at the time. We were  born in the same year. That's the only time I ever heard of it during my childhood. There were 26 in the class.

Later on when I was teaching I tried it in a class of 20. I had forgotten that the class contained a set of twins.

If the class is more random 23 people gives a 50% chance of a duplication of the year but not the year.

5. Use the point-slope formula to determine the equation of a line that passes through the points (1, 2) and (-2, 1).

Answers

Answer:

In point-slope form the equation is:

[tex]y - 2 = \binom{1}{3} \times (x - 1)[/tex]

Help please

Answer question 2 please

Answers

On the list of facts, the second fact says "A quarter of the nuts are walnuts.".

A quarter of 956 is => 239 <= .

Find out the value for brainiest

Answers

Answer:

126 degrees

Step-by-step explanation:

first we should find the measurements of these angles

so (I know these are the names of lines but there's no name for these angles, that's why I'm addressing them with the name of each one's nearest line name)

C= 90 degree

B= 65 degree

A= 79 (coz 180- 101= 79)

therefore D= ?

the total interior angle of a quadrilateral is 360

so 360- (90+ 65+ 79)

360- 234 = 126 degrees

How many groups of 3/4are in 11/4

Answers

Answer:

12

Step-by-step explanation:

there are 12 3/4 on 11/4

By the way this is not my work

Answers

Answer:

Use unit converter.

Step-by-step explanation:

NEED HELP!! THANK YOU

Answers

Answer:

Expression: -7 + 8f - 2b - f + 3b + 6

# of Terms: 6

Like Terms: 8f and f, -2b and 3b, and -7 and 6

Coefficients: 8, 1, -2, and 3

Constants: -7 and 6

Expression: -11x + 4 + 8x - 4 + 3x

# of Terms: 5

Like Terms: -11x, 8x, and 3x & 4 and -4

Coefficients: -11, 8, and 3

Constants: 4 and -4

Step-by-step explanation:

The coefficient is the number in front of the variable.

The variable is any letter that you may see in an expression.

Terms are the numbers and variables, that are separated by the different signs.

Like terms are the terms that share the same variable/exponent.

Constants are the terms without variables.

Hope this helps you :)

Sorry if it's somehow wrong.

Evaluate ∫ y2dx + x dy along the following paths. (a) C = C1 is the line segment from (-13, -7) to (0, 6) (b) C = C2 is the arc of the parabola x = 36 - y2 from (-13, -7) to (0, 6).

Answers

a. Parameterize C₁ by

[tex](x(t),y(t)) = (1-t)(-13,-7) + t(0,6) = (-13+13t,-7+13t)[/tex]

with 0 ≤ t ≤ 1. Then both dx = 13 dt and dy = 13 dt, so that the line integral along C₁ is

[tex]\displaystyle \int_C y^2\,dx + x\,dy = \int_0^1 (-7+13t)^2(13\, dt) + (-13+13t)(13\,dt)[/tex]

[tex]\displaystyle \int_C y^2\,dx + x\,dy = 13 \int_0^1 (169t^2 - 169t + 36) \, dt[/tex]

[tex]\displaystyle \int_C y^2\,dx + x\,dy = 13 \left(\frac{169}3-\frac{169}2+36\right) = \boxed{\frac{611}6}[/tex]

b. Parameterize C₂ by

[tex](x(t),y(t)) = (36-t^2,t)[/tex]

with -7 ≤ t ≤ 6. Then dx = -2t dt and dy = dt, so the line integral is

[tex]\displaystyle \int_C y^2\,dx + x\,dy = \int_{-7}^6 t^2(-2t\,dt) + (36-t^2)\,dt[/tex]

[tex]\displaystyle \int_C y^2\,dx + x\,dy = \int_{-7}^6 (36-t^2-2t^3) \, dt[/tex]

[tex]\displaystyle \int_C y^2\,dx + x\,dy = \left(36\cdot6-\frac{6^3}3-\frac{6^4}2\right) - \left(36\cdot(-7)-\frac{(-7)^3}3-\frac{(-7)^4}2\right) = \boxed{\frac{5005}6}[/tex]

The graph shows a proportional relationship between the number of workers and weekly cost in dollars for a company. Use the points ​(6​,4800​) and ​(15​,12000​) to find the weekly cost for the company for each worker. Use pencil and paper. Describe what a unit rate is used for?

Answers

The weekly cost per worker is: $800

Unit rate can be used for calculating expenses, calculating cost of multiple units, or calculating expenses.

Recall:

Unit rate is calculated using: [tex]\mathbf{\frac{y_2 - y_1}{x_2 - x_1} }[/tex]

Unit rate represents the amount of a quantity compared to its unit of measure.

Unit rate can be used for calculating expenses, calculating cost of multiple units, or calculating expenses.

Since the relationship between number of workers and weekly cost is proportional, we would apply [tex]\mathbf{\frac{y_2 - y_1}{x_2 - x_1} }[/tex] in determining the weekly cost per worker using the points, ​(6​, 4800​) and ​(15​, 12000​):

Substitute

Unit rate/weekly cost per worker = [tex]\frac{12,000 - 4,800}{15 - 6} = \frac{7,200}{9} = 800[/tex]

Unit rate/weekly cost per worker = $800

In summary, the weekly cost per worker is: $800

Unit rate can be used for calculating expenses, calculating cost of multiple units, or calculating expenses.

Learn more here:

https://brainly.com/question/19154956

what is 3/4 ÷ 1/6 plz help ​

Answers

Answer:

4.5

Step-by-step explanation:

A new hotel was built with r rooms. The first weekend it was open, 3/5 of them were reserved. Which of the following expressions represents the number of rooms which were reserved?

A r-3/5
B r x 3/5
C r+3/5
D ÷3/5

PLEASE HELP ITS STUDY ISLAND

Answers

Answer:

c r/ 3/5

Step-by-step explanation:

i think

what is the speed of light?​

Answers

Answer:

The universal physical constant c, or the speed of light in vacuum, is essential in many fields of physics. It has a precise value of 299792458 metres per second.

Step-by-step explanation:

Answer:

299 792 458 m / s

Step-by-step explanation:

In terms of sig figs, it can be 3.0 * 10^8 m/s

14 out of the 70 people in a company meeting were managers. What percentage of the
meeting attendees were managers?
Write your answer using a percent sign (%).

Answers

Answer:

20%

Step-by-step explanation:

14 out of 70 given as percentage:

14/70*100% = 20%

Lets see

14/70(100)1/5(100)20%

A triangle has an angle that measures 55°. The other two angles are in a ratio of 11:14. What are the measures of those two angles?

Answers

9514 1404 393

Answer:

  55° : 70°

Step-by-step explanation:

The sum of the two other angles is ...

  180° -55° = 125°

The sum of the ratio units is 11+14 = 25. Each ratio unit stands for 125°/25 = 5°. Then the other two angles are ...

  11×5° = 55°

  14×5° = 70°

Answer:

55° and 70°

Step-by-step explanation:

A triangle has an angle that measures 55°. The other two angles are in a ratio of 11:14. What are the measures of those two angles?

the sum of the internal angles of a triangle is 180 °, we take 55 ° of the known angle and we have the sum of the other two, 125 °, the ratio is 11:14, one is 11 units and one is 14 units, we add them and we divide 125 ° by (11 + 14) = 25 and we have a unit, 125: 25 = 5. now we multiply the unit first by 11 and then by 14 and find the measure of the angles.

11 * 5 = 55°

14 * 5 = 70°

--------------------

check

55 + 55 + 70 = 180°

the sum of the interior angles of a triangle is 180,

so

the answer is good

Which value of x is a solution of the inequality?
​3x−3≥9

Answers

Answer:

It's probably X since X doesn't have a written number for it it equals 1.

Step-by-step explanation:

what is 1,623 x 2,908? please help

Answers

Answer:

1,623 x 2,908 = 4,719,684

Answer:

4719684

Step-by-step explanation:

Tell me if you want one.

If the silver accounts for 84% of the bar's weight, what is the weight of the silver?

Answers

weight=8.15 ounces
silver=84%of the total weight
silver=(84/100)×8.15 ounces
silver= 0.84×8.15 ounces
silver=7.5795 ounces
silver=7.580 ounces (rounded to nearest thousandth)

Answer:

Step-by-step explanation:

The answer is

(a) Write an equation of the line that passes through the point and is parallel to the given line.




(b) Write an equation of the line that passes through the point and is perpendicular to the given line.

Answers

9514 1404 393

Answer:

parallel: y = x -1perpendicular: y = -x -3

Step-by-step explanation:

The given line has a rise of 1 for each run of 1, so a slope of 1. If you draw a line with a slope of 1 through the given point, you can see that it intersects the  y-axis at y = -1. Then the slope-intercept equation is ...

  y = x -1 . . . . . equation of parallel line

__

The perpendicular line will have a slope that is the opposite reciprocal of the slope of the given line: m = -1/1 = -1

A point that is 1 unit right and 1 unit down from the given point is -3 on the y-axis. This is the y-intercept of the perpendicular line. The equation is ...

  y = -x -3 . . . . . equation of perpendicular line

9514 1404 393

Answer:

parallel: y = x -1

perpendicular: y = -x -3

Step-by-step explanation:

The given line has a rise of 1 for each run of 1, so a slope of 1. If you draw a line with a slope of 1 through the given point, you can see that it intersects the y-axis at y = -1. Then the slope-intercept equation is ...

 y = x -1 . . . . . equation of parallel line

__

The perpendicular line will have a slope that is the opposite reciprocal of the slope of the given line: m = -1/1 = -1

A point that is 1 unit right and 1 unit down from the given point is -3 on the y-axis. This is the y-intercept of the perpendicular line. The equation is ...

 y = -x -3 . . . . . equation of perpendicular line

How much money must be deposited at the end of each year if the objective is to accumulate $250,000 after 10 years? Assume interestis eamed at the rate of 10 percent compounded annually. How much interest will be eamed?​

Answers

Answer:

Step-by-step explanation:

sasđdádd

100 points if you answer - if it's correct ill give brainliest


(01.04 MC)The elevation of city A is 60 feet above sea level; the elevation of city C is 12 feet above sea level. The elevation of city D is 1 over 2 of the elevation of city C.


Part A: Write an expression to represent the elevation, in feet, of city D. (5 points)


Part B: Solve the expression and explain why the answer is negative or positive. (5 points)

Answers

Answer & Step-by-step explanation:

A = 60 ft

C = 12

D = 1/2 of C

1/2 of 12 = 6

Part A:

e = 6ft

Part B:

It's positive because it is above sea level

Answer:

Step-by-step explanation:

gg I got the points

Find two solutions of y=2x-3
Point 1: (x,y) --->
Point 2: (x,y) --->

Answers

The slope of the line is 2/1 and the y-intercept is (0,-3). Using that information, we can figure out two points on the line.

Point 1: (0,-3)

Point 2: (1,-1)


The graphs show information about the different journeys of 4 people.

a)
Which graph shows a person running then walking?
b)
Which graph shows a person who forgot something
and had to return home?

Answers

Answer:

A) b

B) c

Step-by-step explanation:

A) a large distance is covered in a short period of time but then the speed decreases

B) the person travels some distance but then returns to their starting point for a while(their home) and then starts on their journey again

A roller coaster can take 209 passengers around the track in 11 minutes. How many passengers can the roller coaster take around the track per minute?

Answers

you want to do 209/11 and get 19 as your answer

Is this statement true or false? The expression 4x (x2 + 4x + 3) is a polynomial. O True O False​

Answers

Answer:

Step-by-step explanation:

If you remove the brackets you get

4x^2*x^2 + 4x*4x + 3*4x

4x^4 + 16x^2 + 12x

That definitely is a polynomial

In its factored form, one of the factors is a polynomial so the answer is true.

What is the solution to the following equation?
2(3х – 7) + 18 = 10

Answers

[tex]⇒2(3x - 7) + 18 = 10 \\ 6x - 14 + 18 = 10 \\ 6x - 32 = 10 \\ 6x = 10 + 32 \\ 6x = 42 \\ x = \frac{42}{6} \\ x = 7[/tex]

Answer:

x = 1

Step-by-step explanation:

2(3x - 7) + 18 = 10 ( subtract 18 from both sides )

2(3x - 7) = - 8 ( divide both sides by 2 )

3x - 7 = - 4 ( add 7 to both sides )

3x = 3 ( divide both sides by 3 )

x = 1

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