Answer:
Therefore,

Step-by-step explanation:
Simplify
-2^3

It is read as negative 2 raised to the power three,
also it is the cube of negative 2
we know that
given as

so for negative a i.e -a

substituting a = 2 we get

negative sign multiplied by odd number of times then the sign remains negative.
Therefore,

Answer:
the statements are not equivalent
Answer:
a. 
b. 
Step-by-step explanation:
First, we need tot find a general expression for the amount of caffeine remaining in the body after certain time. As the problem states that every hour x percent of caffeine leaves the body, we must substract that percentage from the initial quantity of caffeine, by each hour passing. That expression would be:

Then, to find the amount of caffeine metabolized per hour, we need to differentiate the previous equation. Following the differentiation rules we get:

The rate is negative as it represents the amount of caffeine leaving the body at certain time.
By definition of cubic roots and power properties, we conclude that the domain of the cubic root function is the set of all real numbers.
<h3>What is the domain of the function?</h3>
The domain of the function is the set of all values of x such that the function exists.
In this problem we find a cubic root function, whose domain comprise the set of all real numbers based on the properties of power with negative bases, which shows that a power up to an odd exponent always brings out a negative result.
<h3>Remark</h3>
The statement is poorly formatted. Correct form is shown below:
<em>¿What is the domain of the function </em>
<em>?</em>
<em />
To learn more on domain and range of functions: brainly.com/question/28135761
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Answer:
Step-by-step explanation:
To see if two events are independent you can use the formula P(a|b) = P(a)
In this problem P(C|Y) = 35/75 = .4667 and P(C) = 110/300 = 3.667,
therefore C and Y are not independent events because P(C∣Y) ≠ P(C).
The answer is choice D