The first term of GP, a=4
Common ratio=
=
=-5
r=-5
nth term of GP, an=a
a8=4*
a8=4*
a8=4*-78125
a8=-312500
It looks like the given equation is
sin(2x) - sin(2x) cos(2x) = sin(4x)
Recall the double angle identity for sine:
sin(2x) = 2 sin(x) cos(x)
which lets us rewrite the equation as
sin(2x) - sin(2x) cos(2x) = 2 sin(2x) cos(2x)
Move everything over to one side and factorize:
sin(2x) - sin(2x) cos(2x) - 2 sin(2x) cos(2x) = 0
sin(2x) - 3 sin(2x) cos(2x) = 0
sin(2x) (1 - 3 cos(2x)) = 0
Then we have two families of solutions,
sin(2x) = 0 or 1 - 3 cos(2x) = 0
sin(2x) = 0 or cos(2x) = 1/3
[2x = arcsin(0) + 2nπ or 2x = π - arcsin(0) + 2nπ]
… … … or [2x = arccos(1/3) + 2nπ or 2x = -arccos(1/3) + 2nπ]
(where n is any integer)
[2x = 2nπ or 2x = π + 2nπ]
… … … or [2x = arccos(1/3) + 2nπ or 2x = -arccos(1/3) + 2nπ]
[x = nπ or x = π/2 + nπ]
… … … or [x = 1/2 arccos(1/3) + nπ or x = -1/2 arccos(1/3) + nπ]
Answer:
13R - (-14)
Step-by-step explanation:
I believe this is the right answer i really hope it is im sorry if its wrong
Have a good day!
Answer:
$170
Step-by-step explanation:
50/1.25=40 pieces
40 * $4.25 = $170
HOPE THIS HELPS :)
Answer:
January $0
February = $550
March = $300
April = $150
Step-by-step explanation:
Revenues
January $0
February 4000 x 55% = $2200
March 4000 x 30% = $1200
April 4000 x 15% = $600
Expenses
January $0
February 3000 x 55% = $1650
March 3000 x 30% = $900
April 3000 x 15% = $450
Operating Income
January $0
February 2200 - 1,650 = $550
March 1,200 - 900 = $300
April 600- 450 = $150
