Applying exponential properties, the simplified base for the function is given as follows:
<h3>What is the function?</h3>
The function is represented by the following definition:
![f(x) = 2\sqrt[3]{27^{2x}}](https://tex.z-dn.net/?f=f%28x%29%20%3D%202%5Csqrt%5B3%5D%7B27%5E%7B2x%7D%7D)
As an exponent, the function is given by:
27 can be simplified as follows:
27 = 3 x 3 x 3 = 3³
Hence:
Then, the 3 at the exponent multiplies 2x and can be simplified with the 3 of the root, hence:
Hence the simplified base for the function is given as follows:
More can be learned about exponential properties at brainly.com/question/25263760
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Answer:
3/8
Step-by-step explanation:
3/4 x 1/2 = 3/8
Answer:
the required equation is; y = 21 sin(πt/6)
Step-by-step explanation:
Given the data in the question;
Water rises above sea level = 21 ft
Water drops below sea level = 21 ft
so
maximum = 21 ft and also
minimum = 21 ft
Amplitude = ( maximum + minimum ) / 2
Amplitude = ( 21 + 21 ) / 2
Amplitude = ( 21 + 21 ) / 2 = 42/2 = 21 ft
Period = 12 hours
and we know that; period = 2π/b
so
12 = 2π/b
12b = 2π
b = 2π / 12
b = π/6
Standard equation for simple harmonic is; y = asin(bt)
we substitute
y = 21 sin(πt/6)
Hence the required equation is; y = 21 sin(πt/6)
Answer:
Step-by-step explanation:
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