Answer:
f(x) = 
Step-by-step explanation:
The given options are,
a) f(x) = 
b) f(x) = 
c) f(x) = 
d) f(x) = 
Now, among the given options only option (a) satisfies the criteria stated in the question i. e.,
1. f(x) → 0 as x → - ∞ and
2 f(0) = 1
so, the correct answer is,
f(x) = 
Answer: a) 
Step-by-step explanation:
We know that the volume of an oblique pyramid is given by :-

If the volume of an oblique pyramid with a square base is V units³ and the height is h units.
Then, we have

Multiply 3 on both sides , we get

Divide both sides by h , we get

i.e. 
Hence, the expression represents the area of the base of the pyramid = 
Hence, the correct answer is a) 3 v/h units^2
Answer:
5127079.21 cubic feet
Step-by-step explanation:
The silo is in the shape of a cylinder and a cone.
The volume of the silo will be the sum of the volumes of the cylinder and the cone.
Therefore, its volume is:

where r = radius of cylinder and cone
h = height of cylinder
H = height of cone
The radius of the base is 120 feet, the height of the roof (cone) is 25 feet. The height of the entire silo is 130 feet. This means that the height of the cylinder is:
130 - 25 = 105 feet
Therefore, the volume of the silo is:

The volume of the silo is 5127079.21 cubic feet.
Answer:
C=75.36
A=452.16
Step-by-step explanation:
C=2x3.14xr
×
×
A=3.14×
3.14x12x12=452.16