Write 2^60 as an exponent with a base of 8

Mathematics

2 answers:

Colt1911 [192]2 years ago

4 0

3849 ?.&.&8:&;!$;$;$,$$$$

JulijaS [17]2 years ago

3 0

Answer: 2^60 = 8^20

Step-by-step explanation: 8=2^3

(2^3)^20 Multiply the exponents

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1 year ago

a person on a tour has rupees 12000 for his daily expenses. In order to extend his journey for 2 more days he had to cut down hi

myrzilka [38]

Answer:

Duration of the tour he planned first is 8 days.

Step-by-step explanation:

Given that a person has 12000 rupees for his daily expenses.

Let x be the number of days.

Then daily expenses per day $=\frac{12000}{x}$

Given that number of day is increased by 2 more days, that is number of days is x+2.

New daily expense per day $\frac{12000}{x+2}$

Given that this new daily expenses are 300 less than original.

That is $\frac{12000}{x}-\frac{12000}{x+2}=300$

$\frac{12000(x+2)-12000x}{x(x+2)}=300$

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$x(x+2)=\frac{24000}{300}$

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x=8 or -10.

Since number of days cannot be negative, duration of the tour planned=8.

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2 years ago

An element with mass 730 grams decays by 27.6% per minute. How much of the element is remaining after 12 minutes, to the nearest

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$\bf \qquad \textit{Amount for Exponential Decay}\\\\
A=I(1 - r)^t\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
I=\textit{initial amount}\to &730\\
r=rate\to 27.6\%\to \frac{27.6}{100}\to &0.276\\
t=\textit{elapsed time}\to &12\\
\end{cases}
\\\\\\
A=730(1-0.276)^{12}\implies A=730(0.724)^{12}$