Let be Z the money ;
We have ( 40 / 100 ) x Z = $85 ;
( 4 / 10 ) x Z = $85 ;
( 2 / 5 ) x Z = $85 ;
Z = $( 85 x 5 ) ÷ 3 ;
Z = $425 ÷ 3 ;
Z = $141,66 ≈ $142 ;
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.
20 and 45x
We look for a number that can go into both numbers.
5 into 20 is 4 and 5 into 45x is 9x.
5: 20 45x
4 9x
So no other number can go into 4 and 9x again.
So the GCF of 20 and 45x is 5.
Hope this explains it.
Answer:
Archaea
Step-by-step explanation:
Archaea because it can survive in the diverse environments and is distinctly different from Bacteria which can also survive.
Answer:
Step-by-step explanation:
Given rectangle JKLM
As per graph, the rectangle J'K'L'M' is the transformation of JKLM
Based on one of the points we can calculate the transformation rule:
<u>Let's use points K and K'</u>
- K((-4, -8) → K'(6, -5)
- 6 - (-4) = 10
- -5 - (-8) = 3
<u>So the rule is </u>
- (x', y') → (x + 10, y +3)
<u>Trapezoid STUV:</u>
<u>Applying same rule:</u>
- T' = (6 + 10, 4 +3) = (16, 7)
