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miss Akunina [59]
4 years ago
11

Find the value of s(t(-2)): s(x)= - 3x-2 t(x)=5x-4

Mathematics
1 answer:
elena-s [515]4 years ago
5 0
Answer: s(t(-2)) is 40
Explanation: first let’s find figure out t(-2) first before we move on to the next one

t(x) = 5x-4
t(-2)= 5(-2)-4= -14

Now that we know t(-2) = -14
Then let’s find s(x) where x is -14

s(x)= -3x-2
s(-14)= -3(-14)-2= 42-2=40

And s(t(-2)) = 40
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Answer:

y = A_o (b)^t

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And solving for b we got:

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And then we have:

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And the model would be given by:

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Step-by-step explanation:

Assuming this complete question: "A specific radioactive substance follows a continuous exponential decay model. It has a half-life of 12 hours. At the start of the experiment, 82.6g is present. "

For this case we can create a model like this one:

y = A_o (b)^t

With A_o = 82.6 the initial amount and t the time on hours and t the time in hours. since the half life is 12 hours we can find the parameter of decay like this:

41.3= 82.6(b)^{12}

And solving for b we got:

\frac{1}{2}= b^{12}

And then we have:

b= (\frac{1}{2})^{\frac{1}{12}}

And the model would be given by:

y(t) = 82.6 (\frac{1}{2})^{\frac{1}{12}}

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