Answer:
Check the ecplanation
Step-by-step explanation:
A set of three vectors in 
represents a matrix of 3 column vectors, and each vector containing 4 entries (that is, a matrix of 4 rows, and 3 columns).
Let A be that 4x 3 matrix. The columns of A span 
. if and only if A has a pivot position in each row. So, there are at most 3 pivot positions in the matrix A, but the number of rows is 4, therefore, there exist at least one row not having a pivot position. If A does not have a pivot position in at least one row, then the columns of A do not span . It implies that the set of 3 vectors of A does not span all of .
In general, the set of n vectors in represents a matrix of in rows, and n columns (an in x matrix). So, there are at most n pivot positions in the matrix A, but n is less than the number of rows. In therefore, there exist at least one row that does not contain a pivot position.
And, hence the set of n vectors of A does not span all of . for n < m
Let us assume capacity of large bottle = 1000 ml.
And capacity of each small bottle = 25 ml.
Reaming milliliters in large bottle = 250 milliliters.
Number of bottles = x bottles.
Total capacity of large bottle - capacity of a small bottle × number of bottles > Reamining milliliters in large bottle.
Therefore, we can setup an inequality.
1000 - 25 × x > 250.
1000 -25x >250.
Answer:
A. B. C
They surely share a proportional relationship
Answer:5/12 (Decimal: 0.416667)
Step-by-step explanation:
-0.10416 /.going on forever
