Answer:8
Step-by-step explanation:
If you do the math you'll get 3/4 of the bag is dirt.
Answer:
[-5, 4) ∪ (4, ∞)
Step-by-step explanation:
Given functions:


Composite function:
![\begin{aligned}(f\:o\:g)(x)&=f[g(x)]\\ & =\dfrac{1}{\sqrt{x+5}-3} \end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%28f%5C%3Ao%5C%3Ag%29%28x%29%26%3Df%5Bg%28x%29%5D%5C%5C%20%26%20%3D%5Cdfrac%7B1%7D%7B%5Csqrt%7Bx%2B5%7D-3%7D%20%5Cend%7Baligned%7D)
Domain: input values (x-values)
For
to be defined:


Therefore,
and 
⇒ [-5, 4) ∪ (4, ∞)
Answer:
125.6 sq ft.
Step-by-step explanation:
To find the Surface Area of the cylinder, we will need to solve for the area of both bases and the rectangle around the cylinder. We can do this by:
------------------------------
Area of bases: (
)


Since we have two bases, we can simply multiply by 2, giving us:
12.56×2= 25.12
-------------------------------
Area of the rectangle: (
)

12.56×8= 100.48
Add these two together, giving us:
100.48+25.12= 125.6 sq ft.
If AP and PB are in a 1:2 ratio, it means that PB is twice AB.
So, AP must fit three times into AB, meaning that P must be at one third of the way between A and B.