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$ v_4 = 2(19) - 7 = 38 - 7 = 31 $
$ v_5 = 2(31) - 7 = 62 - 7 = 55 $
Thus, the number of vocalizations in the fifth hour is $ oxed{55} $.
Question: If $ 2^{x} \cdot 8^{x-1} = 64 $, what is the value of $ x $?
First, express all terms with base 2:
= 2^3, \quad 64 = 2^6
2^x \cdot (2^3)^{x-1} = 2^6
\Rightarrow 2^x \cdot 2^{3(x-1)} = 2^6
\Rightarrow 2^{x + 3x - 3} = 2^6
\Rightarrow 2^{4x - 3} = 2^6