Answer:
ALEKS Corporation
Software company
Step-by-step explanation:
Answer:
2. 4a^6b^2
3a. False
3b. False
3c. False
3d. True
4. C
Step-by-step explanation:
I think this is right but I'm not sure, this is some tough stuff.
Good luck!
A= 8 should be your answer
Representing the scenario using mathematical expressions, the number of yellow balloons filled is 10.
<u>Puff required</u> :
- Blue Ballon = 16
- Yellow Ballon = 23
- Green Ballon = 26
- Red Ballon = 32
- Total puffs = 1000
Let :
- Number of yellow = y
- Number of Blue = 2y
- Number of Red balloons = y
- Number of green balloons = y/2
<u>Mathematically, the total puffs can be represented thus :</u>
23y + 16(2y) + 32y + 26(y/2) = 1000
23y + 32y + 32y + 13y = 1000
100y = 1000
y = 1000/10
y = 10
Therefore, Billy filled 10 yellow balloons.
Learn more : brainly.com/question/18405415
Answer:
See below in bold.
Step-by-step explanation:
cos 4x = 2cos^2 2x - 1 = 2 (2 cos^2 x - 1)^2 - 1
and cos 2x = 2 cos^2 x - 1 so we have:
2 ( 2 cos^2 x - 1)^2 - 1 - (2cos^2 x - 1) = 0
2 ( 2 cos^2 x - 1)^2 - 2 cos^2 x = 0
(2 cos^2 x - 1)^2 - cos^2 x = 0
Let c = cos^2 x, then:
(2c - 1)^2 - c = 0
4c^2 - 4c + 1 - c = 0
4c^2 - 5c + 1 = 0
c = 0.25, 1
cos^2 x = 0.25 gives cos x = +/- 0.5
and cos^2 x = 1 gives cos x = +/- 1.
So for x = +/- 1 , x = 0, π.
For cos x = +/- 0.5, x = π/3, 2π/3, 4π3,5π/3.