Answer:
Im sure I can help im taking that class
Explanation:
hit me up
Answer:
3000
Jk last one Privileges and immunities
Explanation:
Answer:
Option D, might fall, but we cannot know without more information
Explanation:
Complete question
If real GDP falls by 2% while work hours fall by 10%, then labor productivity:
a. falls
b. is unchanged
c. rises
d. might fall, but we cannot know without more information
Solution -
As we know
Productivity is equal to Real GDP/ Total Hours Worked. This means that if working hours of the labor force reduces then the productivity will rise.
Here GDP also falls but compared to the total working hours the fall of GDP is 1/5. Hence, the productivity might fall/rise as compared to the case when neither the GDP nor the working hours were falling.
Hence, option D is correct
Solution. To check whether the vectors are linearly independent, we must answer the following question: if a linear combination of the vectors is the zero vector, is it necessarily true that all the coefficients are zeros?
Suppose that
x 1 ⃗v 1 + x 2 ⃗v 2 + x 3 ( ⃗v 1 + ⃗v 2 + ⃗v 3 ) = ⃗0
(a linear combination of the vectors is the zero vector). Is it necessarily true that x1 =x2 =x3 =0?
We have
x1⃗v1 + x2⃗v2 + x3(⃗v1 + ⃗v2 + ⃗v3) = x1⃗v1 + x2⃗v2 + x3⃗v1 + x3⃗v2 + x3⃗v3
=(x1 + x3)⃗v1 + (x2 + x3)⃗v2 + x3⃗v3 = ⃗0.
Since ⃗v1, ⃗v2, and ⃗v3 are linearly independent, we must have the coeffi-
cients of the linear combination equal to 0, that is, we must have
x1 + x3 = 0 x2 + x3 = 0 ,
x3 = 0
from which it follows that we must have x1 = x2 = x3 = 0. Hence the
vectors ⃗v1, ⃗v2, and ⃗v1 + ⃗v2 + ⃗v3 are linearly independent.
Answer. The vectors ⃗v1, ⃗v2, and ⃗v1 + ⃗v2 + ⃗v3 are linearly independent.
I will definitely feel bad about what happen, try to help if i can by doing fundraising's, going to the family of the included people and donate things for their mental stage. <span />
