Answer:
2x-3 = -11
Step-by-step explanation:
|2x-3| = 11
by definition of absolute numbers,
2x-3 = 11 (given)
or
2x-3 = -11 (answer)
Length of blue cloth is 60 inches , length of gold cloth is 48 inches and length of white cloth is 72 inches.
<u>a.</u>
As, the length of all pieces are equal, so for getting the greatest possible length of the pieces, we need to find <u>GCF(greatest common factor) of 60, 48 and 72. </u>
First we will factor out all three numbers completely......
The common factors are: 2, 2 and 3
Thus the GCF
So, the greatest possible length of the pieces without having any cloth left over will be 12 inches.
<u>b. </u>
For finding the number of pieces for each color cloth, we will just <u>divide the length of each cloth by 12</u>. So...
Number of pieces for blue cloth
Number of pieces for gold cloth and
Number of pieces for white cloth
Answer:
67/90
Step-by-step explanation:
no explanation
Answer:
Radius of convergence of power series is
Step-by-step explanation:
Given that:
n!! = 1⋅3⋅5⋅⋅⋅⋅(n−2)⋅n n is odd
n!! = 2⋅4⋅6⋅⋅⋅⋅(n−2)⋅n n is even
(-1)!! = 0!! = 1
We have to find the radius of convergence of power series:
Power series centered at x = a is:
Applying the ratio test:
Applying n → ∞
The numerator as well denominator of are polynomials of fifth degree with leading coefficients: