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sergeinik [125]
2 years ago
11

Just please help me I really need it!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
frez [133]2 years ago
7 0

Answer:

R = 6

Step-by-step explanation:

Solve for r by simplifying both sides of the equation, then isolating the variable. Hope it helps

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Outside temperature over a day can be modelled as a sinusoidal function. Suppose you know the high temperature for the day is 10
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Answer:

The function for the outside temperature is represented by T(t) = 85\º + 15\º \cdot \sin \left[\frac{t-6\,h}{24\,h} \right], where t is measured in hours.

Step-by-step explanation:

Since outside temperature can be modelled as a sinusoidal function, the period is of 24 hours and amplitude of temperature and average temperature are, respectively:

Amplitude

A = \frac{100\º-70\º}{2}

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Mean temperature

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Given that average temperature occurs six hours after the lowest temperature is registered. The temperature function is expressed as:

T(t) = \bar T + A \cdot \sin \left[2\pi\cdot\frac{t-6\,h}{\tau} \right]

Where:

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A - Amplitude, measured in degrees.

\tau - Daily period, measured in hours.

t - Time, measured in hours. (where t = 0 corresponds with 5 AM).

If \bar T = 85\º, A = 15\º and \tau = 24\,h, the resulting function for the outside temperature is:

T(t) = 85\º + 15\º \cdot \sin \left[\frac{t-6\,h}{24\,h} \right]

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