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Verizon [17]
3 years ago
7

The temperature in degrees Celsius can be expressed by the function c(f)=5/9(f-32) where f is the temperature in degrees farenhe

it. Find the temperature in degrees Celsius (to the nearest degree) if it is 7 degrees farenheit
Mathematics
2 answers:
valkas [14]3 years ago
7 0
5/9(7-32)
-125/9
-13.88888
Vesnalui [34]3 years ago
6 0
7 -32= -25 
-25 x 5 = -125
-125 / 9 ≈ -13.8
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Step-by-step explanation:

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Ocean tides can be modeled by a sinusoidal function. Suppose that there is a low and high tide every 12 hours, and that high tid
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Answer:

(a)y=5sin(\frac{\pi}{6}(x+2))+5

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Step-by-step explanation:

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The  amplitude is half the distance between the highest and the lowest tide:

A=10/2=5ft

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B=\frac{2\pi}{T}

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B=\frac{2\pi}{12}=\frac{\pi}{6}

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B(x-C)=\frac{\pi}{2}\\\frac{\pi}{6}(1-C)=\frac{\pi}{2}\\\frac{1}{6}(1-C)=\frac{1}{2}\\(1-C)=\frac{6}{2}\\-C=3-1\\C=-2

The vertical shift is the sum of the lowest value, the height of the low tide (lt) and the amplitude:

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The function is:

y=5sin(\frac{\pi}{6} (x+2))+5+lt

Because the function must be the height above low tide height, subtract this heigh from the function:

y=5sin(\frac{\pi}{6} (x+2))+5+lt-lt

y=5sin(\frac{\pi}{6} (x+2))+5

(b) Use x=11 in the function

y=5sin(\frac{\pi}{6} (11+2))+5=2.5+5=7.5ft above the low tide.

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