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Evgen [1.6K]
3 years ago
12

A refrigeration system at your company uses temperature sensors fixed to read Celsius (0C) values, but the system operators in y

our control room understand only the Fahrenheit scale. You have been asked to make a Fahrenheit (°F) label for the high temperature alarm, which is set to ring whenever the system temperature rises above -10°C. What Fahrenheit value should you write on the label?
Mathematics
1 answer:
solmaris [256]3 years ago
5 0

Answer:

14 °F

Step-by-step explanation:

To answer this problem, we will use the known celsius to fahrenheit conversion formula.

[Celsius * (9/5)] + 32 = Fahrenheit

Now we just plug in the value of celsius:

[-10 * (9/5)] + 32 = Fahrenheit

[ -2 * 9 ] + 32 = Fahrenheit

[ -18 ] + 32 = Fahrenheit

14 = Fahrenheit

So you should right 14(°F) on the label.

Cheers.

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Find the average value of f(x)=e2x over the interval [2, 4].
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<h2>Option B is the correct answer.</h2>

Step-by-step explanation:

We need to find average value of e^{2x} in [2,4]

Area of e^{2x} in [2,4] is given by

                  \int_{2}^{4}e^{2x}dx=\frac{1}{2}\times \left [ e^{2x}\right ]^4_2\\\\\int_{2}^{4}e^{2x}dx=\frac{1}{2}\times(e^8-e^4)=1463.18

Area of e^{2x} in [2,4] = 1463.18

Difference = 4 - 2 = 2

Average value = Area of e^{2x} in [2,4] ÷ Difference

Average value = 1463.18 ÷ 2

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Option B is the correct answer.

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