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So i was putting back my jack in my trunk and when i lifted up the carpet i happened to find this gray hose that is broken and an attachment... the gray hose to the left of my hand and the attactment in my hand....anyone?

...the gray hose isnt attached to anything and this is near my rear battery

 

I wish I could help, too much **** in my trunk.

Grounding strap?

 

the gray hose is the battery breather, and the attachment i believe is nothing

 

^this. Although the attachment might go to a drain of some sort in the trunk to allow that breather to dump outside the car

 

Oh ok so nothing is wrong just leave it?

 

maybe replace that hose considering its got a good sized crack.... i imagine duct tape works too lol

 

yup the elbow plugs into a hole in the side of the battery so it vents sulfuric fumes outside instead of inside.the fitting almost looks like a coax cable for cable tv