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BigorU [14]
3 years ago
12

The blades of a windmill turn on an axis that is 30 feet from the ground. The blades are 10 feet long and complete 2 rotations e

very minute.
Write a sine model, y = asin(bt) + k, for the height (in feet) of the end of one blade as a function of time t (in seconds). Assume the blade is pointing to the right when t=0 and that the windmill turns counterclockwise at a constant rate.
Mathematics
2 answers:
Tasya [4]3 years ago
5 0
The sine model is y=10 sin(1/30 t) + 30.  The 30 represents default distance from the ground, and the ten is required to represent the length of the blades.  Every 30 seconds, one rotation completes, so t must be multiplied by 1/30.
Darya [45]3 years ago
5 0

Answer is D on edg

Y=10sin(pi/15t)+30

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DochEvi [55]
The LCM is the lowest number that is a multiple of all three numbers. 
First, list the multiples of each number
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The LCM is 120 because there is no lower number that is a multiple of all three numbers.
Hope this helped!
3 0
3 years ago
paid after the grace period, on average, more than 4 times in 2018, what are the null and alternative hypotheses? Select the cor
Mila [183]

Answer:

<em>H</em>₀: <em>μ</em> = 4 vs. <em>H ₐ</em>: <em>μ </em>> 4

Step-by-step explanation:

A null hypothesis is a sort of hypothesis used in statistics that intends that no statistical significance exists in a set of given observations.  

It is a hypothesis of no difference.

It is typically the hypothesis a scientist or experimenter will attempt to refute or discard. It is denoted by H₀.

Whereas, the alternate hypothesis is the contradicting statement to the null hypothesis.

The alternate hypothesis describes direction of the hypothesis test, i.e. if the test is left tailed, right tailed or two tailed.

It is also known as the research hypothesis and is denoted by H ₐ.

In this case we need to test whether the amount is paid after the grace period, on average, more than 4 times in 2018.

The hypothesis can be defined as follows:

<em>H</em>₀: <em>μ</em> = 4 vs. <em>H ₐ</em>: <em>μ </em>> 4

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the answer would be one-fifth :)

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