C and D are correct because 25 > 35 so that's C.
Its also D because they are not equal.
Hope this helps :)
Step-by-step explanation:
the volume of this object is the sum of the volume of the 2 blocks.
the large block is a cube of 4×4×4 = 64 ft³
the small block is 1×1×2 = 2 ft³
so, in total, he can fit 64+2 = 66 ft³ of plaster into the mold.
Answer:
Determine the power set of S, denoted as P:
Term Number Binary Term Subset
12 01100 {b,c}
13 01101 {b,c,e}
14 01110 {b,c,d}
15 01111 {b,c,d,e}
Step-by-step explanation:
please mark my answer in
Answer:
X=2
Step-by-step explanation:
Given:
The table of values for the function f(x).
To find:
The values
and
.
Solution:
From the given table, it is clear that the function f(x) is defined as:
![f(x)=\{(-14,11),(-7,-12),(-12,-5),(9,1),(10,-2),(-2,13)\}](https://tex.z-dn.net/?f=f%28x%29%3D%5C%7B%28-14%2C11%29%2C%28-7%2C-12%29%2C%28-12%2C-5%29%2C%289%2C1%29%2C%2810%2C-2%29%2C%28-2%2C13%29%5C%7D)
We know that if (a,b) is in the function f(x), then (b,a) must be in the function
. So, the inverse function is defined as:
![f^{-1}(x)=\{(11,-14),(-12,-7),(-5,-12),(1,9),(-2,10),(13,-2)\}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3D%5C%7B%2811%2C-14%29%2C%28-12%2C-7%29%2C%28-5%2C-12%29%2C%281%2C9%29%2C%28-2%2C10%29%2C%2813%2C-2%29%5C%7D)
And,
![f^{-1}(f(a))=f^{1}(b)](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28f%28a%29%29%3Df%5E%7B1%7D%28b%29)
...(i)
Using (i), we get
![f^{-1}(f(3.14))=3.14](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28f%283.14%29%29%3D3.14)
Now,
![f(f(-7))=f(-12)](https://tex.z-dn.net/?f=f%28f%28-7%29%29%3Df%28-12%29)
![f(f(-7))=5](https://tex.z-dn.net/?f=f%28f%28-7%29%29%3D5)
Therefore, the required values are
and
.