The answer is 0.5778 or 0.578 rounded
Answer:
53.8/4 =13.45
Step-by-step explanation:
Given:
m is directly proportional to the cube of h.
m = 525 when h= 5.
To find:
The equation connecting m and h.
Solution:
m is directly proportional to the cube of h.

...(i)
Where, k is the constant of proportionality.
Putting m = 525 and h= 5, we get



Putting k=105 in (i), we get

Therefore, the required equation is
.
Option C:
is equivalent to the given expression.
Solution:
Given expression:

To find which expression is equivalent to the given expression.

Using exponent rule: 


Using exponent rule: 


Divide both numerator and denominator by the common factor –6.


Therefore,
is equivalent to the given expression.
Hence Option C is the correct answer.