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Nadya [2.5K]
3 years ago
13

What is the square root of 95.54

Mathematics
1 answer:
vladimir2022 [97]3 years ago
5 0
Well this is simple a calculator type problem...but if you are curious as the the algorithm used by simple calculators and such...

They use a Newtonian approximation until it surpasses the precision level of the calculator or computer program..

A newtonian approximation is an interative process that gets closer and closer to the actual answer to any mathematical problem...it is of the form:

x-(f(x)/(df/dx))

In a square root problem you wish to know:

x=√n  where x is the root and n is the number

x^2=n

x^2-n=0

So f(x)=x^2-n and df/dx=2x so using the definition of the newton approximation you have:

x-((x^2-n)/(2x)) which simplifies further to:

(2x^2-x^2+n)/(2x)

(x^2+n)/(2x), where you can choose any starting value of x that you desire (though convergence to an exact (if possible) solution will be swifter the closer xi is to the actual value x)

In this case the number, n=95.54, so a decent starting value for x would be 10.

Using this initial x in (x^2+95.54)/(2x) will result in the following iterative sequence of x.

10, 9.777, 9.774457, 9.7744565, 9.7744565066299210578124802523397

The calculator result for my calc is: 9.7744565066299210578124802523381

So you see how accurate the newton method is in just a few iterations. :P


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ZA and ZB are complementary angles. If mZA = (7x + 23)° and
Marat540 [252]

Answer:

ZB= 39°

Step-by-step explanation:

complementary angles are angles that add up to equal 90

equation:  7x + 23 + 5x + 19 = 90

add like terms: 12x + 42 = 90

subtract 42 from both sides: 12x = 48

divide both sides by 12: x = 4

plug in the value of x to the equation for ZB: 5(4) + 19

simplify: ZB= 39°

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2 years ago
A total of tickets were sold for the school play. They were either adult tickets or student tickets. The number of student ticke
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Answer:

the number of adult ticket sold is 107 tickets

Step-by-step explanation:

The computation of the number of adult ticket sold is shown below:

Let us assume the number of tickets be x,

So, the adult be x

And for student it would be 3x

Students= 2x

Adults= x

Total = 4x

Now the equation could be

4x = 428

x = 107

This x signifies the adult tickets sold i.e 107

Hence, the number of adult ticket sold is 107 tickets

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3 years ago
the price of a shirt was $16. there is a price increase of 4%. which of the following expression gives the new price of the shir
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Answer:

$16.64

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$16 + 4% = $16.64

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In the equation -10-3b=8 what does b stand for. i need halp soon soo pleaseeeeeeee
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Answer: b = -6

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Hope this helped!

Please Mark Brainliest!

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