Answer:
C. The two stacks have the same volume because they have the same height and the same cross-sectional area at every level
Step-by-step explanation:
The volume of a cylinder can be found by multiplying the area of its base by its height.
Similarly, the volume of a rectangular prism can be found by multiplying the area of its base by its height.
Because they have the same base areas and the same heights, the same amount of each figure will result in the same volume from each stack.
Answer:
The ratio level of measurement is most appropriate because the data can be ordered differences can be found and are meaningful, and there is a natural starting zero point.
That's the correct answer since our variable is numerical and have a natural starting point at 0 and the negative values not makes sense.
Step-by-step explanation:
The interval level of measurement is most appropriate because the data can be ordered, differences (obtained by subtraction) can be found and are meaningful, and there is no natural starting point.
Our variable is numerical but we have a starting point defined so it can't be an interval variable.
The nominal level of measurement is most appropriate because the data cannot be ordered.
False on this case the bolume can't be a nominal variable since we don't have a categorical variable.
The ordinal level of measurement is most appropriate because the data can be ordered, but differences (obtained by subtraction) cannot be found or are meaningless.
False we don't have ordered relationship among the variable’s observations
The ratio level of measurement is most appropriate because the data can be ordered differences can be found and are meaningful, and there is a natural starting zero point.
That's the correct answer since our variable is numerical and have a natural starting point at 0 and the negative values not makes sense.
Answer:
12
Step-by-step explanation:
The hypotenuse of a 45-45-90 triangle is equal to the length of a leg times 
So, in your problem,

= 6(2) = 12
Derivative Functions
The derivative function gives the derivative of a function at each point in the domain of the original function for which the derivative is defined. We can formally define a derivative function as follows.
Definition:
let f be a function. The derivative function, denoted by f', is the function whose domain consists of those values of x such that the following limit exists:

(5x-7)2 + 140x
= 25x2 - 70x + 14 + 140x
= 25x2 + 70x + 14
= (5x+7)2