Answer:
He does not divide the numerator and the denominator by the same number. Nicholas divides 20 by 5 and 30 by 6. He ought to have divided 30 by 5 as well and then simplified.
P.S. Nicholas should have just divided both 20 and 30 by 10 to simplify in one step
Answer:
see below
Step-by-step explanation:
The recursive function tells you the first term is 1. That is the meaning of ...

It also tells you that to find the next term, you multiply this term by 1/2:

And, to find the next term, you multiply this term by 1/2:

Then the first three terms are ...
1, 1/2, 1/4
Area = π r²
area of the required sector = (80/360) π * 15²
≈ 157.08
X-11=-20
add 11 on both sides X=9
The wavefunction for a particle in a one-dimension box is a well-known problem, which has as a solution:
Ψ(x) = √(2/l) sin (nπx/l)
When the box has three dimensions, the general solution is simply the multiplication of the solutions for each dimension, therefore:
Ψ(x) = K · sin (n_x·π·x / l) · sin (n_y·π·y / l) · sin <span>(n_z·π·z / l)</span>