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Aleks [24]
3 years ago
11

The temperature of a cup of coffee t minutes after it has been poured is described by the function

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
5 0
A) You want to find t such that
.. C(t) = d
.. d = 20 +60*0.95^t
.. (d -20)/60 = 0.95^t
.. log((d -20)/60) = t*log(0.95)
.. t = log((d -20)/60)/log(0.95) . . . . . . time to cool to d degrees (d > 20)

b) C'(t) = 60*0.95^t*ln(0.95)
.. C'(1) = 60*0.95*ln(0.95) ≈ -2.924 °C/min
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Answer:

x = 13

Step-by-step explanation:

call the missing number x

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3 years ago
If f (x) = x + 7 and g (x) = StartFraction 1 Over x minus 13 EndFraction, what is the domain of (f circle g) (x)?
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Answer:

R-{13}

Step-by-step explanation:

We are given that

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Because the g(x) is not defined at x=13

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6 0
3 years ago
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Step-by-step explanation:

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