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crimeas [40]
3 years ago
11

A sound wave is modeled with the equation y=1/4 cos 2pi/3theta. Find the period. Explain your method. Find the amplitude. Explai

n your method. What is the equation of the midline? What does it represent? Please help and explain this. I don't understand this at all!
Mathematics
1 answer:
alina1380 [7]3 years ago
3 0
You know the period of the cos function is <span>2π</span>, right? Every <span>2π</span> that the argument to cos goes through is one complete cycle. You've multiplied the argument by <span><span>2π</span>3</span> so that changes the period. If we had simply multiplied by 2, you would have 2 cycles per <span>2π</span> change in θ instead of the usual 1, and the period would be correspondingly halved. Can you figure out the new period in your equation? The amplitude is easy to find. The value of cos<span> varies from 1 to -1. You've multiplied it by 1/4. What will that do to the amplitude?</span>
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Ava's birthday cake is about 11 7/10 cm long. her candles stick up from the cake an additional 5 4/10 cm. what was the total hig
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Total height of the cake and the candles is 17.1 cm

Step-by-step explanation:

  • Step 1: Convert the mixed fractions into decimal expressions.

11 7/10 cm = 117/10 = 11.7 cm

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An investment strategy has an expected return of 15 percent and a standard deviation of 9 percent. Assume investment returns are
IgorLugansk [536]

Answer:

68% of an investment earning a return between 6 percent and 24 percent.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 15

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How likely is it to earn a return between 6 percent and 24 percent?

6 = 15 - 1*9

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Answer:

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Step-by-step explanation:

The equation of a line in the slope-intercept form is;

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b = -12/11

Thus, the equation is;

y = -12/11

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