Answer:
a^2/3
Step-by-step explanation:
the numerator simplifies to 5a^3 and the bottom is 15a. we can use our exponent rules to subtract exponents, so it is 1/3(a^2). this simplifies to a^2/3.
Here is an example:
Josh bought 7 apples for $21.
21/7 is 3, so one apple costs $3. This is the unit rate.
21/7 simplifies to 3/1, that’s another way to think about it. Simplify the fraction until the denominator is 1.
Hope this helps! Tell me if you have any questions!
Answer:
Bed A --- Third Option
Bed B --- Fifth Option
Step-by-step explanation:
Flower Bed A)
The formula for circumference is:

The diameter of A is 10 feet. So, its radius is 5 feet.
Substitute 5 for r. So, the circumference of Bed A is:

The formula for the area of a circle is:

Substitute 5 for r:

Square and simplify:

So, the circumference of Bed A is 10π feet and its area is 25π square feet.
Therefore, match Bed A to the third option.
Flower Bed B)
The radius of Bed B is 6 feet. Again, we can use the circumference and area formulas. Substitute 6 for r for circumference:

Multiply:

Substitute 6 for r for the area formula:

Square and simplify:

So, Bed B has a 12π feet circumference and a 36π square feet area.
Therefore, match Bed B to the fifth option.
And we're done!
Answer:
Domain of f(p) = [0,∞), where it belongs to whole numbers only
Step-by-step explanation:
The domain is the set of all possible values of independent variable for which function is defined
As in the given function f(p), we have the independent variable p. As p is the number of people working on the project, so it means either the number of people could be 0 or it could be anything greater than 0, like it could be equal to thousand or ten thousand, but it can not be fraction in any case.
So, the domain is set of whole numbers starting from 0.
Domain of f(p) = [0,∞)
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