3 years ago

Solve for x. 3:12 = x:16 64 4 2 1/4

Mathematics

1 answer:

Savatey [412]3 years ago

7 0

Hi!

i think We can set up a proportion to solve this

\frac{3}{12} \frac{x}{16}

Cross multiply

3 x 16 = 48

48/12 = 4

The answer is 4

Hope this helps! :)

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Evaluate the exponential function.

kakasveta [241]

Hey there!

Our function is:

f(x) = 4^x

If we want to have f(3), we simply can plug in 3 to our answer, and evalutate from there:

f(x) = 4^3 =
4*4*4 =
16*4 =
64

We just calculated 4 to the fourth power, which is four times four times four times four. Therefore, 4 of four is equal to 64.

Hope this helps!

8 0

4 years ago

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Shtirlitz [24]

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3 years ago

Find the circumference of a circle whose area is 24 pi ft ^2

lianna [129]

$\bf \textit{area of a circle}\\\\
A=\pi r^2~~
\begin{cases}
r=radius\\
-----\\
A=24\pi 
\end{cases}\implies 24\pi =\pi r^2\implies \cfrac{24\pi }{\pi }=r^2
\\\\\\
24=r^2\implies \boxed{\sqrt{24}=r}\\\\
-------------------------------\\\\
\textit{circumference of a circle}\\\\
C=2\pi r\qquad \qquad \implies C=2\pi\left( \boxed{\sqrt{24}} \right)~~
\begin{cases}
24=2\cdot 2\cdot 2\cdot 3\\
\qquad 2^2\cdot 6
\end{cases}
\\\\\\
C=2\pi \sqrt{2^2\cdot 6}\implies C=2\pi (2\sqrt{6})\implies C=4\sqrt{6}~\pi$