Answer:
1.2
Step-by-step explanation:
1. First, we have to write an equation with a variable! Given 0.8%, we know that it's equal to (0.8/100), and "of" means to multiply. Therefore, the equation will looks like this:
2. Now, let's solve for x!
Therefore, 0.8% of 150 is 1.2!
540=
54*10=
6*9*2*5=
2*3*3*3*2*5=
2*2*3*3*3*5 or in exponential form
(2²)(3³)(5)
Answer:
An exponent value in a would make the system inconsistent because it will either gain or lose height over time.
Any real number without an exponent value will make the system consitent.
Any infintite/repeating number will make the system both consistent and inconsistent. it is consisent because it will stay at a constant rate but also inconsistent because it is repeating and will never end.
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
.