let's say 12 min - 2 mins = 10 mins
and 1.4 mile - 0.9 miles = 0.5 miles
Jessica takes 10 mins to walk a distance of 0.5 miles
=> 10 mins*6 = 60 mins = 1 hour
=> 0.5 miles*6 = 3 miles
her rate is 3 miles per hour
Answer:
Step-by-step explanation:
Answer:
C. True; by the Invertible Matrix Theorem if the equation Ax=0 has only the trivial solution, then the matrix is invertible. Thus, A must also be row equivalent to the n x n identity matrix.
Step-by-step explanation:
The Invertible matrix Theorem is a Theorem which gives a list of equivalent conditions for an n X n matrix to have an inverse. For the sake of this question, we would look at only the conditions needed to answer the question.
- There is an n×n matrix C such that CA=
. - There is an n×n matrix D such that AD=
. - The equation Ax=0 has only the trivial solution x=0.
- A is row-equivalent to the n×n identity matrix
. - For each column vector b in
, the equation Ax=b has a unique solution. - The columns of A span
.
Therefore the statement:
If there is an n X n matrix D such that AD=I, then there is also an n X n matrix C such that CA = I is true by the conditions for invertibility of matrix:
- The equation Ax=0 has only the trivial solution x=0.
- A is row-equivalent to the n×n identity matrix
.
The correct option is C.
Answer:
you would have 84-.10 I think
Step-by-step explanation:
Answer:
57 square inches
Step-by-step explanation:
First consider that a 45 degree sector of a circle is 45/360 of the area of the full circle from which it is cut. This comes out to 1/8 of the full circle area.
The area of a circle of radius 12" is A = π(12 ")^2, or A = 144π.
The area of the sector in question is 1/8 of that, or
A = (1/8)(144π), or A = 18π square inches, or approximately 57 square inches.