Answer:
The answer to your question is The second graph
Step-by-step explanation:
The general equation for a trigonometric is
Acos(Bx + C) + D
A indicates the amplitude if the value is 1, the lowest point is -1 and the highest point is 1. So we discard the first graph.
B indicates the period. A normal graph has a period of 2π, but this equation has a period of 3/2. This means that the period is smaller.
C indicates that the graph is moved to the left or right but in this problem C = 0, so it does not change.
D indicates if the graph is moved up or down, in this problem, D = 0 so it does not change.
Answer:
128 seconds
Step-by-step explanation:
The sun subtends an angle 
rad
Angular velocity equation is 
where 
is angular velocity and t is time.
Earth spins at a rate of :
rad/s
Isolating time (t) from angular velocity equation gives:
What can be divided? For example, for 48 you can divide 1, and 48 and you can also divide it by two which equals to 24 so keep writing that from least to greatest. You don't have repeat answers.
1,2,3,4,6,8,12,16,24,48
Answer: B, C, E
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The difference between consecutive terms (numbers that come after each other) in arithmetic sequences is the same. That means you add the same number every time to get the next number. To figure out which choices are arithmetic sequences, just see if the differences are the same.
Choice A) 1, -2, 3, -4, 5, ...
-2 - 1 = -3
3 - (-2) = 5
The difference is not constant, so it is not an arithmetic sequence.
Choice B) 12,345, 12,346, 12,347, 12,348, 12,349, ...
12,346 - 12,345 = 1
12,347 - 12,346 = 1
The difference is constant, so it is an arithmetic sequence.
Choice C) <span>154, 171, 188, 205, 222, ...
171 - 154 = 17
188 - 171 = 17
The difference is constant, so it is an arithmetic sequence.
Choice D) </span><span>1, 8, 16, 24, 32, ...
8 - 1 = 7
16 - 8 = 8
</span>The difference is not constant, so it is not an arithmetic sequence.
Choice E) <span>-3, -10, -17, -24, -31, ...
-10 - (-3) = -7
-17 - (-10) = -7
</span>The difference is constant, so it is an arithmetic sequence.
