2 DAT Questions (Chem + Math)

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DenTony11235

Chem: When determining the conjugate, we always look for the acid on the right side? I mean its just weird how it was put here - Says "in the forward reaction-" but its actually a reaction that goes in both directions, so its not a forward reaction.... Am I just being a philosopher here? I usually look for protonated bases as being conjugate acids.

Math: so since cos is positive, and sec= 1/cos, wouldnt sec also be positive? Making choice d the correct choice as well?

Also, with an equation like: 2x^2+x-6 , how do we factor (not using the quadratic formula i mean) to get (2x-3)(x+2)???
 

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In the forward reaction, because the double arrows indicates this reaction is occurring in both directions. If they didn't specify, there would technically be two conjugate acids, one on each side of the reaction. Since they specified the forward reaction you know it is referring to the conjugate acid on the product side.
 
The arrows are just saying that the reaction can go either way. When it says "forward direction" it's specifying which direction you need to look at. If the question didn't specify, both NH4+ MeCOOH would be the conjugate acids. You do NOT always look at the right side of the reaction for conjugated acids. You have to look at the equation as a whole and pay attention to what the question is asking.
 
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cos = (+), then sec = 1/(+) which is (+)
Your logic here is sound, the question is wrong.

Math: so since cos is positive, and sec= 1/cos, wouldnt sec also be positive? Making choice d the correct choice as well?
Plug it into the calculator if you're not convinced and you'll see that both are positive. Pay no mind, you've got it right.

What program is that, btw?
 
Oops, I have no idea what I was thinking!!! Super stupid moment >.< Ignore all of that. Both answers are right!
 
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