Answer:
Step-by-step explanation:
Converting yards to feet means that we want the label of yards to cancel, leaving feet as our label. Use the factor-label method taught in chemistry.

The yards label cancels out, leaving feet as our label. So to answer the question, in order to convert from yards to feet you are multiplying by 3.
First, find the value of the expression within the parentheses, which is 8x. Since x=1/4, 8x=8/4 or 2. Next, multiply this value by -3. -3*2=-6
2 1/2 should be the answer. Adding all of the x’s up you’ll get 16.5. Since you need 19 oz take 19 and subtract 16.5 to get 2.5. Convert 2.5 into a mixed fraction and get 2 1/2
Answer C- 2 1/2
Answer:

Step-by-step explanation:
Given
See attachment for desk
Required
The area
First, calculate the area of the semicircular cutout

Where

So:



Next, the area of the complete trapezium

Where



So:



The area of the desk is:



Answer:
1) False
2) False
3) True
4) False
Step-by-step explanation:
1) Flase, {v1,v2,v3, ..., vp} is a base for H when they span H and also they are linearly independent.
2) False. A single nonzero vector is linearly independent , not dependent. There is not null linear combination that gives 0 as a result involving that vector.
3) True, if the columns werent linearly independent, we could triangulate the matrix and obtain 0, so the matrix wouldnt be invertible. This means that the columns should be linearly independent for the matrix to be invertible and as a consecuence, they will spam a subspace of R^n of dimension n, which means that they will spam all R^n and therefore, they form a basis of R^n.
4) False. A basis is a spanning set that is as small as possible. Larger spanning sets will have extra elements apart from those who can form a base toguether. Those elements will make the set linearly dependent.