Answer:
She used inductive reasoning. (False)
She used the law of detachment. (True)
Her conclusion is valid. (True)
The statements can be represented as "if p, then q and if q, then r." (False)
Her conclusion is true. (True)
Step-by-step explanation:
p = Two lines are perpendicular
q = They intersect at Right angles.
Given: A and B are perpendicular
Conclusion: A and B intersect at right angle.
According to the law of detachment, There are two premises (statements that are accepted as true) and a conclusion. They must follow the pattern as shown below.
Statement 1: If p, then q.
Statement 2: p
Conclusion: q
In our case the pattern is followed. The truth of the premises logically guarantees the truth of the conclusion. So her conclusion is true and valid.
Answer:
72m2
Step-by-step explanation:
first you find out what 6*6*4=144+8*6*6=288-144=144/2=72m^2
Step-by-step explanation:
If T:Rn→Rm is a linear transformation and if A is the standard matrix of T, then the following are equivalent:
1. T is one-to-one.
2. T(x) = 0 has only the trivial solution x=0.
3. If A is the standard matrix of T, then the columns of A are linearly independent.
Here, A is a mxn matrix where m ≥ n and the rank of A equals n. It implies that the columns of A are linearly independent, for, otherwise, the rank of A would be less than n. Hence the linear transformation represented by A is one-to-one.
Let x be amount of music lessons
Member ＝ 100 + 20x
Non member ＝ 30x
Must be same, so 100 + 20x ＝ 30x
Solve for x:
Group like terms.
100 ＝ 30x － 20x
100 ＝ 10x
100/10 ＝ x
x＝10
10 music lessons for member and non member to have same costs of $300.
Im not very good at maths. But this seems easy :D. I'm still a beginner, but please give me points.
