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Nata [24]
3 years ago
10

The temperature of a chemical reaction oscillates in the interval 44 degrees Celsius to 50 degrees Celsius. The temperature is a

t 47 degrees Celsius at t=0 and rises at the start of a four-minute cycle. Which function represents the relationship between time, t, and temperature, T?
Mathematics
1 answer:
Sophie [7]3 years ago
5 0

Answer:

47 +3 sin(sin(\frac{2\pi }{4}t ))

Step-by-step explanation:

Here temperature of reaction oscillates about 47.

Temperature amplitude is 3.

Most popular and simple function which can describe the temperature is sinosuidal function.

We know sinosuidal function can be negative as well as positive with magnitude as it's amplitude.

We need angular frequency for this.

Time period is given =4 min

Angular frequency =\frac{2\pi }{T} =\frac{2\pi }{4}

So temperature as a function of time is

T(t) = 47 + sin(47 +sin(\frac{2\pi }{4}t ))

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A. 23+x=140

Step-by-step explanation:

The angle addition postulate states that the measure of a larger angle formed by two or more smaller angles placed side by side is the the sum of the smaller angles. The angle addition postulate states that if B is in the interior of AOC , then:

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From the image:

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substituting:

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