Answer:
See below
Step-by-step explanation:
3. What are two ways that a vector can be represented?
Considering a vector 
in some vector space 
we have
This is the component form. I don't like that way. It is probably used in high school, but
is preferable because the inner product on is defined to be
You can also write it using linear form such as 
4.
For this question, I think you meant
vectors
Once
Considering that the dot product is
and the norm of 
is 
and the norm of 
is 
Thus,
Answer:
576 cm^3
Step-by-step explanation:
Express this volume formula as V = π r^2 h, where the " ^ " symbol indicates exponentiation. Substitute 4 for r (this is half the diameter), 12 cm for h, and 3 for π: V = 3*(4)^2*12 cm^3, or V = 576 cm^3.
Answer:
6 Chickens
Step-by-step explanation:
Let H represent the number of horses and C represent the number of chickens. Since there are 32 legs altogether this means that on equation to use would be given by:
2C + 4 H = 32 (Eq. 1)
Another equation can be made from the fact that there are 11 heads or 11 animals altogether which can be written as:
C + H = 11 (Eq. 2)
From Eq. 2, solve for the number of chickens:
C + H = 11
C = 11 - H (Eq. 3)
Substituting Eq. 3 in Eq. 1, the number of horses can be determined:
2 C + 4 H = 32
2 ( 11 − H ) + 4 H = 32
22 − 2 H + 4 H = 32
2H = 32 − 22
2 H = 10
H = 5 Eq.4
Putting Eq.4 in Eq.1
2C + 4*5 = 32
2C = 32 - 20
2C = 12
C = 12/2
C = 6
Answer: 1,2 and 4
Step-by-step explanation:
factors of 12 are : 1,2,3,4,6,12
factors of 28 are :1,2,4,7,14,28
commom factors are= 1,2,4
The answer would be 7.225.
