Found these mysterious wires in my Z

SouthArk370Z

It will work without a fuse but it won't be safe. Put the fuse as close to the battery as possible.

Without knowing more about what goes where, all I can tell you are some generalities:
Zip-cord, is usually used for speaker wires; sometimes for high-level connection between HU and amp. Single conductor wires are usually power (big wire) or on/off signal (small wire).

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Vaibe

I think there may be an inline fuse, I'll double check again. There's definitely this clear plastic thing from the blue power cable in the hood of the car before it gets routed into the car. I wasn't sure what it was but it may be a fuse.

I guess when I get time I'll open up the car a little and see where all the cables are running to. Thanks for the help so far!