One way to approach this would be to express 125^2 as (125)(125).
Note also that 125^(4^3) = 125^(1 + 1/3) = (125)(5)
Therefore, the given expression boils down to
(125)(125) 125
--------------- = ------- = 25
5 (125) 5
There are other ways in which you could reduce the given expression.
R: (-inf, 0]
D: all real #'s
A <em>function </em>is a rule that assigns each vale of the independent variable to exactly one vale of the dependent variable.
The missing word is the function.
Point to remember:
The definition says that two values of x(independent variable ) may correspond to one value of y(dependent variable) but the vice versa is not true( means two values of y(dependent variable ) does not correspond to one value of x(independent variable) ). This explanation is very powerful tool to check that whether a relation is a function or not.
Answer:
S = 2 pi (3) squared + 2 pi (3) (14)
Step-by-step explanation:
The formula for the area of a circle is ...
A = πr²
The cylinder has two circular bases with radius 3 cm, so their combined area in square centimeters is ...
A = 2π(3²) . . . . . . matches a term in the last choice
__
The lateral area of the cylinder is the product of the height and the circumference of the base. That is ...
A = 2πrh
For the given radius and height, the lateral area in square centimeters is ...
A = 2π(3)(14) . . . . . . matches a term in the last choice
__
The total surface area is the sum of the areas of the bases and the lateral area, so is ...
S = 2π(3²) +2π(3)(14) . . . . . matches the last choice
_____
<em>Comment on answer choices</em>
We could choose the correct answer based solely on the area of the bases of the cylinder.
