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I like where you're going with this but and forgive me if I come of as rude, I think this looks a little unfinished.
I would..
1) Make the tiger image span the whole width, maybe even add more images of animals in there like a collage (since it is a zoo!).
2) Remove the 'Contact us' button + briefcase
3) make the nav for the slideshow semi transparent/translucent. I think that would complement the colors etc.
4) put the bar with phone number somewhere in the header, since that's where it usually goes. Maybe drop the background of the bar if it's drawing too much attention away from the other elements.
Besides that, I think you have a nice design.
Good job!

Thank you for the feedback. There are several things I will implement.