C is the answer because when you go to a Christian school they expect you to have values of that already instilled in you
Answer:
The popularity of automobiles has led to the construction of super high ways
Answer:
• newspapers
• Frozen prepared meals
Explanation:
Fast-moving consumer goods, are also called consumer packaged goods. They are the products which are sold quickly and they're usually cheap.
Examples of fast-moving consumer goods are non-durable household goods like frozen prepared meals, toiletries, cosmetics, packaged foods, beverages, candies, etc. They also have low profit margin. Based on the examples given above, the answer are newspapers and frozen prepared meals.
Answer:
First is the high cost, because it takes a lot of increasingly expensive energy to remove salt from seawater. A second problem is that pumping large volumes of seawater through pipes and using chemicals to sterilize the water and keep down algae growth kills many marine organisms and also requires large inputs of energy (and thus money) to run the pumps. A third problem is that desalination produces huge quantities of salty wastewater that must go somewhere.
Explanation: hope this helped
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.
