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3 years ago

which choice represent's the simplified exponential expression? (15^-6)9 A.15 B.15^-54 C.15^3 D.15^-15

Mathematics

1 answer:

frez [133]3 years ago

7 0

Answer:

Step-by-step explanation:

15^(-6*9) = 15^-54

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A colony of cats were introduced into a reserve. The number of cats present at timet(measured in years since the colony was intr

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ANSWER:

a) 12 cats

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c) 246

d) 14

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Given the expression for number of cats C present at time t:

$C\text{ = }\frac{12.31}{0.05+0.56^t^{}}$

a) To find the number of cats initially on the reserve, let t = 0

Therefore, substitute 0 for t in the equation

$\begin{gathered} C\text{ = }\frac{12.31}{0.05+0.56^0} \\ \text{ = }\frac{12.31}{0.05\text{ + 1}} \\ \text{ = }\frac{12.31}{1.05} \\ =\text{ }11.72 \end{gathered}$

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$\begin{gathered} C(10)\text{ = }\frac{12.31}{0.05+0.56^{10}}\text{ = 232.12} \\ \end{gathered}$

C(10) = 232

Here, C(10) means that C is a function of 10. This means at time = 10 years

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$C(17)\text{ = }\frac{12.31}{0.05+0.56^{17}}$

$C(17)\text{ = }\frac{12.31}{0.05+0.56^{17}}\text{ = }245.94$

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