Answer:
Its B
Step-by-step explanation:
Try and read throught it slowly and everytime you hit a variable go down the the answer and find where it is. That helped me a lot
For this case, the first thing we must do is define variables.
We have then:
x: number of blue beads
y: number of red beads
We now write the inequations system:
Answer: a system of linear inequations that represents the situation is: 
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:
4,212 people
Step-by-step explanation:
We are given;
- Dimensions of the football field are 120 yards by 54 yards
- 26 players can fit in a box measuring 5 yards by 8 yards
We are required to determine the number of people that can fit in the football field.
- We are going to get the area of the field first;
Area = length × Width
Area of the field = 120 yards × 54 yards
= 6480 square yards
- Then we get the area of the box
Area of the box = 5 yards × 8 yards
= 40 square yards
- We then determine the number of boxes that can fit in the football field
Number of boxes = Area of the foot ball field ÷ Area of one box
= 6480 sq yards ÷ 40 sq yards
= 162 boxes
But, 26 people can fit in one box
Therefore,
Total number of people that can fit in the field is given by multiplying the number of boxes that can fit in the field by the number of people in a box
That is, Number of people = 26 players × 162 boxes
= 4,212 people
Therefore, the number of people that can fit in the football field is 4,212 people.
