Answer:
Per ounce better buy is <em>Happy popcorn</em>.
Step-by-step explanation:
Given that:
Happy popcorn price for 16 ounces = $1.39
Popper popcorn price for 34 ounces = $2.79
Discount coupon present with Gabe = 40 ¢ = $0.40
To find:
Which brand is the better buy per ounce?
Solution:
First of all, let us calculate the price that Gabe has to pay after the discount coupon being applied.
Price for 16 ounces of Happy popcorn after discount = $1.29 - $0.40 = $0.99
Price for 1 ounce of Happy popcorn after discount = 
= $0.062
Price for 34 ounces of Popper popcorn after discount = $2.79 - $0.40 = $2.39
Price for 1 ounce of Popper popcorn after discount = 
= $0.070
Clearly, per ounce price of Happy popcorn is lesser than that of Popper popcorn.
Therefore per ounce better buy is <em>Happy popcorn</em>.
Answer:
D.
Step-by-step explanation:
Remember that the limit definition of a derivative at a point is:
![\displaystyle{\frac{d}{dx}[f(a)]= \lim_{x \to a}\frac{f(x)-f(a)}{x-a}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28a%29%5D%3D%20%5Clim_%7Bx%20%5Cto%20a%7D%5Cfrac%7Bf%28x%29-f%28a%29%7D%7Bx-a%7D%7D)
Hence, if we let f(x) be ln(x+1) and a be 1, this will yield:
![\displaystyle{\frac{d}{dx}[f(1)]= \lim_{x \to 1}\frac{\ln(x+1)-\ln(2)}{x-1}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%281%29%5D%3D%20%5Clim_%7Bx%20%5Cto%201%7D%5Cfrac%7B%5Cln%28x%2B1%29-%5Cln%282%29%7D%7Bx-1%7D%7D)
Hence, the limit is equivalent to the derivative of f(x) at x=1, or f’(1).
The answer will thus be D.
Here is some thoughts on this:
cos 57 = sin (90-57) = sin 33
so cos 57 . cosec 33 = cos 57 / sin 33 = sin 33 / sin33 = 1
2 cos 60 = 2 * 1/2 = 1
so the last 2 parts work out to 0
now we have to find cos 70 / sin 20
sin 20 = cos 70 so this comes to 1
so finally the answer is 1
Answer:
what to do here I don't know sorry
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<u><em>-From TheRealMarinette</em></u>
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