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kykrilka [37]
3 years ago
9

Ten people were surveyed. The scatterplot shows the relationship between the number of fruit servings and the number of vegetabl

e servings each
person eats per day.
4
Fruit Servings
0
4
Vegetable Servings
Matt is one of the people surveyed. He is considered an outlier in this data.
Which statement describes Matt's data relative to the general pattern of the data?

Mathematics
1 answer:
Oksana_A [137]3 years ago
5 0

Answer:b

Step-by-step explanation:

It b

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Using Euler's relation, derive the following relationships:a. Cosθ=½(e^jθ+e^−jθ)b. Sinθ=½(e^jθ−e(^−jθ)
Montano1993 [528]

Answer:

a. cosθ = ¹/₂[e^jθ + e^(-jθ)] b. sinθ = ¹/₂[e^jθ - e^(-jθ)]

Step-by-step explanation:

a.We know that

e^jθ = cosθ + jsinθ and

e^(-jθ) = cosθ - jsinθ

Adding both equations, we have

e^jθ = cosθ + jsinθ

+

e^(-jθ) = cosθ - jsinθ

e^jθ + e^(-jθ) = cosθ + cosθ + jsinθ - jsinθ

Simplifying, we have

e^jθ + e^(-jθ) = 2cosθ

dividing through by 2 we have

cosθ = ¹/₂[e^jθ + e^(-jθ)]

b. We know that

e^jθ = cosθ + jsinθ and

e^(-jθ) = cosθ - jsinθ

Subtracting both equations, we have

e^jθ = cosθ + jsinθ

-

e^(-jθ) = cosθ - jsinθ

e^jθ + e^(-jθ) = cosθ - cosθ + jsinθ - (-jsinθ)

Simplifying, we have

e^jθ - e^(-jθ) = 2jsinθ

dividing through by 2 we have

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4 0
4 years ago
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lina2011 [118]

Answer:

6%=0.06

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Step-by-step explanation:

4 0
3 years ago
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