Using the internet, find an additional example of the golden ratio (not mentioned above) and explain why this specific example is so interesting to you. (possible keywords: the golden ratio + in nature, + in art, + in the human body, + in geometry) now that you know more about the golden ratio, do you believe its common presence shows evidence of a grand design within the universe, or is it simply a coincidence? how does this topic reinforce or change your belief about the existence of mathematical application to real life? is math essential to daily life?

this doesn't make sense lol

765238725478629038640962136509762139056074

step-by-step explanation:

64087235609746097215074621039754021037

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation:

2 pecks

step-by-step explanation: