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Effectus [21]
3 years ago
5

What is the amplitude and period of the following function?

Mathematics
1 answer:
larisa [96]3 years ago
7 0

Hello!


Amplitude is the maximum displacement on the graph of a function.

Period is the displacement of x at which the graph of a function begins to repeat.

We can find the period of a circular function by using the formula: P = \frac{2\pi}{B}.


The amplitude is 6 because it causes the displacement of the graph to change. Therefore, the domain becomes -6 ≥ x ≥ 6.


To find the period, we use the formula P = \frac{2\pi}{B}, and we substitute the values into the equation. The value B, is 1/3.


P = \frac{2\pi}{\frac{1}{3}}

This can be simplified into 6π.


Since the periodicity is 6π, the graph hits the x-axis at intervals of 3π and -3π, and the graph also hits the x-axis at the origin.


Therefore, the amplitude of the function is 6, the period is 6π, and the function hits the x-axis during intervals of 3π.

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IceJOKER [234]

Answer:

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2. We need 100 sections.

I used metric conversion to convert km to meters.

3. 230 mL  of lemonade per person

I used metric conversion to convert L to ML

Step-by-step explanation:

1.  250 mL  = 1 glass

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I used metric convertsion to convert mL to liters.

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Road length that needs a guardrail is .5 km.  We need to convert this to meters  1000 m = 1 km

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I used metric conversion to convert km to meters.


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5 0
3 years ago
How many permutations exist of the letters a, b, c, d taken two at a time?
Fittoniya [83]
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3 0
3 years ago
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iogann1982 [59]

Answer:

D is the right one

Step-by-step explanation:

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-> 135 degree = 0.75 * π  radians = 3π/4 radian

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3 years ago
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inysia [295]
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To help you remember - my teacher told us to remember "We <span>♡ density," and the heart stands for </span>\frac{m}{v}, or \frac{mass}{volume}. Cheesy, but it works!<span>
</span>
Back to the problem:
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