Answer:
278.63 square inches
Step-by-step explanation:
Gina needs to cut two types of rectangles.
Dimensions of one rectangle is given as,
Width = 12 inches
Length = 
= 
inches
So, the area of this rectangular paper will be
Area = width × length = 
= 171 inches²
Dimensions of the other rectangular paper has been given as
Width = 
= 
inches
Length = 
= 
inches
So, the area of this rectangle will be
Area = width × length = 
= 107.63 inches²
Thus the total area she need to cut = 171 + 107.63 = 278.63 square inches.
Answer:
F(x) and g(x) are not inverse functions.
Step-by-step explanation:
In order to calculate the inverse function of a function, we have to isolate X and after that, we change the variables.
As our function f(x) is a exponentian function, we can apply logarithm with base 10 (log) in both sides in order to isolate X. Remember that log10=1.
![[tex]y=10^{(x+\frac{2}{3}) }\\\\log y=log 10^{(x+\frac{2}{3}) }\\log y = (x+\frac{2}{3}) . log10\\\frac{log Y}{log10} = (x+\frac{2}{3})\\\frac{log Y}{1} = (x+\frac{2}{3})\\log Y-\frac{2}{3}=x](https://tex.z-dn.net/?f=%5Btex%5Dy%3D10%5E%7B%28x%2B%5Cfrac%7B2%7D%7B3%7D%29%20%7D%5C%5C%5C%5Clog%20y%3Dlog%2010%5E%7B%28x%2B%5Cfrac%7B2%7D%7B3%7D%29%20%7D%5C%5Clog%20y%20%3D%20%28x%2B%5Cfrac%7B2%7D%7B3%7D%29%20.%20log10%5C%5C%5Cfrac%7Blog%20Y%7D%7Blog10%7D%20%3D%20%28x%2B%5Cfrac%7B2%7D%7B3%7D%29%5C%5C%5Cfrac%7Blog%20Y%7D%7B1%7D%20%3D%20%28x%2B%5Cfrac%7B2%7D%7B3%7D%29%5C%5Clog%20Y-%5Cfrac%7B2%7D%7B3%7D%3Dx)
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Now we change the variables.
F(x) and g(x) are not inverse functions.
It is answer is choice d in my opinion
Number 28 would be y= -52x+148
Answer: f'(x) = - cos^2(sin(x^2))
Step-by-step explanation:
Derivative of:
f(x) = Sin^2(cos(x^2))
f'(x) = cos^2(-sin(x^2)
f'(x) = - cos^2(sin(x^2))
