Answer with Step-by-step explanation:
We are given that
and 
are linearly independent.
By definition of linear independent there exits three scalar 
and 
such that
Where 
We have to prove that 
and 
are linearly independent.
Let 
and 
such that
...(1)
..(2)
..(3)
Because and are linearly independent.
From equation (1) and (3)
...(4)
Adding equation (2) and (4)
From equation (1) and (2)
Hence, and area linearly independent.
Answer:
129 = QRX
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
49+80 = QRX
129 = QRX
Answer:
C. 147 minutes
Step-by-step explanation:
This is 147 minutes because 2 hours equal up to 120 minutes, before that Evelyn ran 27 minutes. So, now you have to add 120 and 27. You get 147.
Answer:
64.
Step-by-step explanation:
Sigma notation is ∑48(1/4)^(n-1).
Upper limit = a1 / (1 - r) where a1 = initial population and r = common ratio.
So it is 48 / (1 - 1/4)
= 48 / 3/4
= 48 * 4/3
= 64.
