Reorder 2 cos (2y) and sin (2y)
= sin (2y)(2 cos(2y))
Remove parenthesis
= sin (2y) * 2 cos (2y)
Reorder sin (2y) and 2
= 2 * sin (2y) cos (2y)
Apply the sine double-angle identity
= sin (2(2y))
Now multiply 2 by 2
<u>= sin (4y) </u>
Answer: option D
Step-by-step explanation:
The formulae for standard error = standard deviation/√n
But population standard deviation = 1.8 and sample size = n = 81
Standard error = 1.8/√81 = 1.8/9 = 0.2
Answer:
Carla needs to make at least 11 two-pointer shots in the surrent game
Step-by-step explanation:
The first thing we can do is to find the difference between the number of points that Carla scored in her first game and her second game.
This will be 46 - 24 = 22 points difference
Carla needs to make a certain number of two-pointers to get at least the same score she had in her previous game.
We can get this number of two-pointers that needed to be made by dividing the difference in scores by 2
i.e number of two-pointer shots = 22/2 =11 shots
Therefore, Carla needs to make at least 11 two-pointer shots to be able to get the same score in her current game.
Answer:
The true solution is x=4/9
EXPLANATION
The logarithmic equation given to us is
We need to use the quotient rule of logarithms.
When we apply this law the expression becomes
We now take the antilogarithm of both sides to get
We square both sides to get,
We evaluate to obtain,
This simplifies to
We divide both sides by 36 to get
We simplify to get,
3x+x=27
4x=27
X=8
Inman ate 3 times 8=24
Zar ate 8
24-8=16. Inman ate 16 more slices
