0.666• To get the answer you divided 4 by 6.
4÷6=0.6666
Plant grows at 3CM per day
equation: y= 3x
21 is y so 21= 3x. divide by 3 so it's been 7 days
Answer:
6
Step-by-step explanation:
1. One comes first, two comes second, and three comes last.
2. one comes first, two comes last, and three comes second.
3. One comes second, Two comes first, and three comes last.
4. One come last, Two comes first, and three comes second.
5. One comes second, Two comes last, Three comes first.
6. One comes last, Two comes second, and Three comes first.
Answer:
A), B) and D) are true
Step-by-step explanation:
A) We can prove it as follows:
B) When you compute the product Ax, the i-th component is the matrix of the i-th column of A with x, denote this by Ai x. Then, we have that 
. Now, the colums of A are orthonormal so we have that (Ai x)^2=x_i^2. Then 
.
C) Consider 
. This set is orthogonal because 
, but S is not orthonormal because the norm of (0,2) is 2≠1.
D) Let A be an orthogonal matrix in 
. Then the columns of A form an orthonormal set. We have that 
. To see this, note than the component 
of the product 
is the dot product of the i-th row of 
and the jth row of 
. But the i-th row of is equal to the i-th column of . If i≠j, this product is equal to 0 (orthogonality) and if i=j this product is equal to 1 (the columns are unit vectors), then 
E) Consider S={e_1,0}. S is orthogonal but is not linearly independent, because 0∈S.
In fact, every orthogonal set in R^n without zero vectors is linearly independent. Take a orthogonal set 
and suppose that there are coefficients a_i such that 
. For any i, take the dot product with u_i in both sides of the equation. All product are zero except u_i·u_i=||u_i||. Then 
then 
.
Answer:
A. -415m
Step-by-step explanation:
-300 meters is the starting point.
Then, the submarine goes 115m further below the surface, which can be represented as -115.
Add -300 and -115 and you get -415m.
