There are (53)2 ⋅ 50 hens in a bird enclosure. what is the total number of hens in the enclosure? a) 0 b) 55 c) 56 d) 530

c)

Step-by-step explanation:

We have been given that there are hens in a bird enclosure. We are asked to find the total number of hens in the enclosure.

Using exponent property , we will get:

Using exponent property , we will get:

Therefore, there are total number of hens in the enclosure would be .

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step-by-step explanation:

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation: