Based on function transformations, the graph of y= cos(2θ), is the same as the graph of <span>y= cos(θ), with a component B of 2, in which case, it means the period is the only thing that differs
well the period for this function will then be </span>

so, the graph of is, the same as y= cos(θ), just shrunk by half horizontally
Imagine the graph of f(x)=|x|. This can only output positive values (

).
Then f(x)=|x|+2 is the same graph shifted upwards by two units meaning it can only output values bigger or equal to than 2. So the range is
The associative property of addition is shown in equations where the order in which the evaluation is made does not change the result, providing the numbers remain in the same order. Option B demonstrates this.
The value of the probability P(multiple of 3) is 0.3333
<h3>How to determine the probability?</h3>
The spinner that completes the question is added as an attachment
From the attached spinner, we have:
- Total section = 12
- Multiples of 3 = 4
The probability is then calculated as:
P(multiple of 3) = Multiples of 3/Total
This gives
P(multiple of 3) = 4/12
Evaluate
P(multiple of 3) = 0.3333
Hence, the value of the probability is 0.3333
Read more about probability at:
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Answer:
108 bottles
Step-by-step explanation:
4.536 divided by .042 equals 108