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Anna007 [38]
3 years ago
15

Please help me with this for 20 points

Mathematics
1 answer:
astra-53 [7]3 years ago
4 0

Answer:

\large a)\ f(x)=\dfrac{5}{9}(x-32)\\\\b)\ f^{-1}(x)=\dfrac{9}{5}x+32\\\\9^oC=48.2^oF

Step-by-step explanation:

C=\dfrac{5}{9}(F-32)\\\\a)\ f(x)=\dfrac{5}{9}(x-32)\\\\b)\ C=\dfrac{5}{9}(F-32)\\\\\text{solve for F}\\\\\dfrac{5}{9}(F-32)=C\qquad\text{multiply both sides by 9}\\\\5(F-32)=9C\qquad\text{divide both sides by 5}\\\\F-32=\dfrac{9}{5}C\qquad\text{add 32 to both sides}\\\\F=\dfrac{9}{5}C+32\\\\f^{-1}(x)=\dfrac{9}{5}x+32

c)\ \text{Put}\ x=9\ \text{to}\ f^{-1}(x):\\\\f^{-1}(9)=\dfrac{9}{5}(9)+32=\dfrac{81}{5}+32=16.2+32=48.2\\\\9^oC=48.2^oF

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7 0
3 years ago
Which function can be used to find the number of cells of bacteria in the population at time t
Nonamiya [84]

Answer:

db / dt = kb  

this becomes b(t) = Ce^(kt)  

C = 100, the initial population  

P(1) = 420 = 100 e^(1k)  

4.2 = e^k  

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a) thus, b(t) = 100 e^(t ln 4.2)  

b) b(3) = 100 e^(3 ln 4.2)  

c) growth constant will still be ln 4.2 (constant percentage of populatioin)  

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Step-by-step explanation:

6 0
3 years ago
On average, a pair of bike tires can last 18 months if used every day. The length of time bike tires can last is exponentially d
aleksandr82 [10.1K]

Answer:

We conclude that eighty percent of bike tires last at most 14.4 months.

Step-by-step explanation:

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5 0
3 years ago
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Answer:

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5 0
3 years ago
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The area of the triangle is 45 units²
8 0
4 years ago
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