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Misha Larkins [42]
4 years ago
14

Solve the equation. Check the solution. 1/2(2x-1)= -1/9 -7/9

Mathematics
1 answer:
Thepotemich [5.8K]4 years ago
3 0

Answer:

hope this can help you (^^)

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Write at least 5 arithmetic sequence and determine the common difference
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Step-by-step explanation:

The common difference is 5 (n+5)

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Anna says there is a 0.15 probability that at least one of her shoes comes untied during her morning jogs.
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The population for Gulch Dry has been declining according to the function P(t)= 8000. 2^-t/29 where t is the number of years sin
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A)

\bf 1990-1910=80\leftarrow t
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P(t)=8000(2)^{-\frac{t}{29}}\implies P(80)=8000(2)^{-\frac{80}{29}}
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P(80)=8000\cdot \cfrac{1}{2^{\frac{80}{29}}}\implies P(80)=\cfrac{8000}{\sqrt[29]{2^{80}}}

and surely you know how much  that is.

b)

\bf P(t)=125\\\\\\  125=8000(2)^{-\frac{t}{29}}\implies \cfrac{125}{8000}=2^{-\frac{t}{29}}\implies \cfrac{1}{64}=2^{-\frac{t}{29}}
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\textit{now we take log to both sides}
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log\left( \frac{1}{64} \right)=log\left( 2^{-\frac{t}{29}} \right)\implies log\left( \frac{1}{64} \right)=-\frac{t}{29}log\left( 2 \right)
\\\\\\
log\left( \cfrac{1}{64} \right)=-\cfrac{tlog(2)}{29}\implies \cfrac{-29log\left( \frac{1}{64} \right)}{log(2)}=t\implies 174=t

since in 1910 t = 0, 174 years later from 1910, is 2084, so in 2084 they'll be 125 exactly, so the next year, 2085, will then be the first year they'd fall under that.
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