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guapka [62]
2 years ago
12

Simplify.

Mathematics
1 answer:
spin [16.1K]2 years ago
5 0

B. 1.3

Hope that helped:)

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The length of DE (the minor arc) is 52 cm. What is the circumference of OF?
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Step-by-step explanation:

DE/C = 60/360 = 1/6

Cross-multiplying

C = 6DE = 6 x 52 = 312 CM

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The following two-way table describes student's after school activites. Find the probability that a randomly selected student is
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The probability that a randomly selected student is in music/drama is 25%

<h3>How to determine the probability?</h3>

From the table, we have the following values

Music/Drama = 7 + 13 + 5 = 25

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Consider the problem $minimize$ $f(x)=x^4-1$. solve this problem using newton's method. start from $x_0=4$ and perform three ite
stellarik [79]
F(x)=x⁴-1
f'(x)=4x³
Newton’s Method: x[n+1]=x[n]-f(x[n])/f'(x[n]); x[n+1]=x[n]-(x[n]⁴-1)/4x[n]³
x₁=3.00390625
x₂=2.26215...
x₃=1.7182...

X'=X-(X⁴-1)/4X³=X-X/4+1/4X³ is a symbolic way of writing the recursive formula, where X' represents the next iteration.
When X'≈X, -X/4+1/4X³≈0; so X/4≈1/4X³; X≈1/X³, so X⁴≈1 and X⁴-1≈0. But this is f(x)≈0. Hence Newton’s Method converges to a solution.
The rate of change is x[n+1]-x[n]=-(x[n]⁴-1)/4x[n]³=x[n]/4-1/4x[n]³ or symbolically -X/4+1/4X³.
Note that the method converges to one solution. A different x₀ will possibly converge to the solution x=-1.
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