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Juli2301 [7.4K]
3 years ago
7

What is the percentage change for 60 to 35

Mathematics
1 answer:
Reil [10]3 years ago
3 0
Let x represent the percentage change. The percentage change is a factor that the original number is multiplied to get the new number.

60*x = 35
x = 35/65 = 0.53846 = 53.846%
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Find the rational approximation of √15.
ICE Princess25 [194]

9514 1404 393

Answer:

  1921/496

Step-by-step explanation:

There are many rational approximations to √15, some better than others.

A linear approximation is often used:

  √15 ≈ 3 +(15-3^2)/(4^2-3^2) = 3 6/7 = 27/7

That can be refined by one iteration of the Babylonian method of determining the root:

  √15 ≈ (27/7 +15/(27/7))/2 = (3 6/7 +3 8/9)/2 = 3 55/63 = 244/63

This value is equivalent to the root rounded to 4 decimal places.

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Another iteration of the Babylonian method gives the approximation ...

  √15 ≈ 119071/30744, equivalent to the root rounded to 9 decimal places.

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The approximation 1921/496 is the best approximation that has a denominator under 1000.

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<em>Additional comment</em>

Successive rational convergents of the continued fraction approximation of √15 can be found as ...

  a'/b' = (3a +15b)/(a +3b)

This method adds approximately one more good decimal place per iteration.

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Successive rational approximations can be found using the Babylonian method (Newton's method iteration) as ...

  a'/b' = (a² +15b²)/(2ab)

This method has "quadratic" convergence. It approximately doubles the number of good decimal places with each iteration.

You can use 3/1, 4/1, or 27/7 to begin either of these iterations.

7 0
3 years ago
What is 2226 ÷ 53?????
olga_2 [115]
42!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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3 years ago
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How do you simplify 1/5(40x^5+13x^3-3x-5)-(3x^5-5x^3+5x)
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Answer:

Step-by-step explanation:

As you learned use quadratic equations

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Which land forms are formed by wind deposition in the desert region?​
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uranmaximum [27]
Whatever is inside of the ( ), simply plug that digit into the x-values for f(x)
So: f(x) = 7x - x^2, and f(7+h) - f(7)
= [7(7+h) - (7+h)^2] - [7(7) - (7)^2]
= [49+7h - 49+14h+h^2] - [49-49]
= 49-49 + 7h+14h + h^2 = h^2 + 21h =
h (h+21), h (h+21) = 0
h=0... But it stated h cannot = 0
So h+21 = 0, h = -21
4 0
3 years ago
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