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:
Step-by-step explanation:
(8-0)/(2+2)= 8/4= 2
y - 0 = 2(x + 2)
y = 2x + 4
Answer:
Part a: So the number of business owners giving holiday gift to their employees from survey is 12.
Part b: p-value is 0.00003
Part c: value of p is less that a we reject the null hypothesis.
Step-by-step explanation:
Part a
number of business owners=20% x n
number of business owners= 0.2x 60
number of business owners=12
Part b
H0: p=0.46
H1: p<0.46
Here
n=60,
=0.2, p=0.46
So test statistics is given as

p-value is P(z<-4.04)= 0.00003
Part c
As value of p is less that a we reject the null hypothesis.
Answer:
A road with a pitch of 1 in 8 is steeper.
Step-by-step explanation:
Let us convert these to the same units so that we can better compare them.

0.125=12.5 %
As 12.5% is greater than 12%, the road with a pitch of 1 in 8 will be steeper.