Answer:
Option 1. Down 2, right pi over 3.
Step-by-step explanation:
In a given function f(x) = -7 sin(3x+π)-2 we have to find the shift horizontally and vertically.
As we know in a sine equation represented as y = a sin(bx+c) +d
Amplitude of the wave = a
Period = 
Horizontal shift = 
Vertical shift = d
From the given sine function we can get the following values
a = 7
period = 
horizontal shift =
in the right side since it's with positive sign.
Vertical shift = -2 down with 2 ( since it's with negative sign)
Therefore Option 1 is the correct one.
Answer:
A. 
Step-by-step explanation:
Step 1: We know .3333... is
, we rewrite the equation as 

Therefore the answer would be A. 
If the numbering of the angles is similar to this:
1 | 2
-----
3 | 4
5 | 6
----
7 | 8
Then none of the the choices are necessarily true.
The equations would have been:
1 = 4 = 5 = 8
2 = 3 = 6 = 7
3 + 5 = 4 + 6 = 180
Answer:
30 degrees
Step-by-step explanation:
Angle B is an inscribed angle -- its vertex is on the circle and it intersects the circle in two points, <em>A</em> and <em>C</em>.
The measure of an inscribed angle is always one half the measure of the intercepted arc. The intercepted arc has measure 60 degrees, so the measure of angle B is 30 degrees.
Answer:
E.
simple random sample
Step-by-step explanation:
Simple random sample: Every member and set of members has an equal chance of being included in the sample. Random samples are usually fairly representative since they don't favor certain members.