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.
(x-3)2+(y-4)2=24
2x-6+2y=24
2x-14+2y=24
2x=24+14-2y
2x=38-2y
x=19-y
Given,
Rate of free fall = 216 km/h
Solution,
km/h to m/s is converted as follows :
So, the rate of fall is 60 m/s.
If t = 20 s
Assume, initial velocity = 0
It will move under the action of gravity.
Using equation of motion,
Hence, this is all for the solution.
Answer:
And we can find this probability like this:
And we can replace the values and we got:
Step-by-step explanation:
For this case we define the random variable Y as: the number of slices of cheesecake left on the platter after the first serving. And we have the following distribution for Y:
Y | 0 1 2 3 4
P(Y) | 0.005 0.114 0.429 0.381 0.071
And we want to find the following probability:
And we can find this probability like this:
And we can replace the values and we got:
Answer:3.14
Step-by-step explanation:
Volume of cylinder can be calculated by using the formula V= pir^2h
Where r is radius of cylinder and h is the height.
A cylinder with radius 1 inch and height of 1 inch is given.
r=1,h=1,π=3.14.
Substituting the given values :
V=3.14(1)^2(1)
Volume of cylinder rounded to nearest tenth is 3.14 cubic inches .
