The answer is 5.
Because take x=1 entry to the graph and going vertical until you intercept the curve, then read the value on the y axial
It should just be 2y. Hope it helps.
You find the mean absolute deviation by first finding the mean, and then subtracting all the values in the data set from that, creating a new data set, and then you find the mean of this new data set.
Example:
3, 2, 5, 9, 4
Mean(add them all, divide by how many there are): (3 + 2 + 5 + 9 + 4)/5 = 4.6
Subtract 4.6 from/to all the values:
4.6 - 3 = 1.6
4.6 - 2 = 2.6
5 - 4.6 = 0.4
9 - 4.6 = 4.4
4.6 - 4 = 0.6
Find the mean of these values:
(1.6 + 2.6 + 0.4 + 4.4 + 0.6)/5 = 1.92
So the mean absolute deviation is 1.92.
LHS ⇒ RHS:
Identities:
[1] cos(2A) = 2cos²(A) - 1 = 1 - 2sin²(A)
[2] sin(2A) = 2sin(A)cos(A)
[3] sin(A + B) = sin(A)cos(B) + cos(A)sin(B)
[4] cos(A + B) = cos(A)cos(B) - sin(A)sin(B)
cos(x) - cos(x + 2Θ)
= cos(x) - (cos(x)cos(2Θ) - sin(x)sin(2Θ)) [4]
= cos(x) - cos(x)(1 - 2sin²(Θ)) + sin(x)(2sin(Θ)cos(Θ)) [1] [2]
= cos(x) - cos(x) + 2sin²(Θ)cos(x) + 2sin(Θ)sin(x)cos(Θ)
= 2sin²(Θ)cos(x) + 2sin(Θ)sin(x)cos(Θ)
= 2sin(Θ)(sin(Θ)cos(x) + sin(x)cos(Θ))
= 2sin(Θ)sin(x + Θ)
Answer: Mary had six pieces of candy but her mother didn’t want her having too much sugar. She took away half of her candy. How many pieces does she have now?
Step-by-step explanation:
