Answer:
The parent sine graph 
has a range of -1 ≤ y ≤ 1
It crosses the x-axis x = 0° ± 180°n
The maximum points occur when x = 90° ± 360°n and y = 1
The minimum points occur when x = 270° ± 360°n and y = -1
The sketch the graph of function 
we simply move the graph of up 2 units.
So this means it will have a range of 1 ≤ y ≤ 3
It no longer crosses the x-axis.
The maximum points occur when x = 90° ± 360°n and y = 3
The minimum points occur when x = 270° ± 360°n and y = 1
<u>Attached diagram</u>
The parent function is shown in grey (dashed line)
The function is shown in red.
Let the missing number be x
Mean is the total sum of data over the number of data therefore,
(11+20+x+3+1) / 5 = 9
Then simplify
(35 + x) / 5 = 9
Then multiply 5 to both sides
35 + x = 45
Then subtract 35 to both sides to find x
X= 10
Hope this helps!
Answer:
2.63274768567
Step-by-step explanation:
First, note that 3.1415... is p, so 2(3.1415...) is 2pi and 4(3.1415...) is 4pi.
2pi and 4pi are full rotations, which will lead to the same cosine (i.e. cos(x) = cos (x+2pi) = cos(x+4pi) = ... = cos (x+2k*pi)).
So, the expression equals cos0.5 + cos 0.5 + cos0.5 = 3cos0.5 = 3(0.87758256189) = 2.63274768567
I hope this helps! :)
Answer:
5
Step-by-step explanation:
First you have 24-(5+9)/2
So do 5+9=14
24-14=10
10/2=5
answer is 5
