Determine the number of subsets of 3,4,5,6,7,8,9,10,11,12,13,14,15
lbvjy [14]
Answer:
8192
Step-by-step explanation:
The number of subsets of an n-element set is 2^n.
Your set has 13 elements, so has 2^13 = 8192 subsets.
__
This count includes the empty set and the full set.
George's cost per day is
... c = 30 + 0.18m
We want c < 55, so we can write
... 30 + 0.18m < 55 . . . . . your inequality
_____
Here is the solution to the inequality
... 0.18m < 25
... m < 25/0.18
... m < 138.9
George must drive less than 138.9 miles that day.
The limit of the given function if 
is 64
<h3>Limit of a function</h3>
Given the following limit of a function expressed as;
We are to determine the value of the function
![\frac{1}{4} \lim_{x \to 0} [f(x)]^4](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%20%20%5Clim_%7Bx%20%5Cto%200%7D%20%5Bf%28x%29%5D%5E4)
This can also be expressed as
![\frac{1}{4} \lim_{x \to 0} [f(x)]^4\\ = \frac{1}{4}(4)^4 \\=1/4\times 256\\=64](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%20%20%5Clim_%7Bx%20%5Cto%200%7D%20%5Bf%28x%29%5D%5E4%5C%5C%20%3D%20%5Cfrac%7B1%7D%7B4%7D%284%29%5E4%20%5C%5C%3D1%2F4%5Ctimes%20256%5C%5C%3D64)
Hence the limit of the given function if is 64
Learn more on limit of a function here: brainly.com/question/23935467
#SPJ1
The answer would be 30 degrees because points F, G, H, and J are collinear, all you would have to do is figure out /_GHK by subtracting 180 degrees from it.
Like this :
JHK = 180 degrees - 120 degrees = 60 degrees
