It’s 125 because 5 over 3 is 5 (3) times so 5x5x5= 125 hoped this helped.
Answer:
the 3rst one
Step-by-step explanation:
Total number of team in starting = 128 teams.
In each round half of the teams are eliminated.
Therefore, number of teams remain after first round = 128/2 = 64.
The number of teams remain after second round = 64/2 = 32.
The number of teams remain after third round = 32/2 = 16.
The number of teams remain after fourth round = 16/2 = 8.
The number of teams remain after fifth round = 8/2 = 4.
<h3>Therefore, after 5 rounds there remain only 4 teams.</h3>
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.
Answer:
25/6
Step-by-step explanation: