Answer:
Not parallel.
Step-by-step explanation:
If the slopes are the same they are parallel.
So we convert each one to slope-intercept form:
-5x - 4y = -3
-4y = 5x - 3 Divide both sides by -4:
y = -5/4 x + 3/4.
Slope = -5/4.
-5x – 5y = -3
-5y = 5x - 3 Divide both sides by -5:
y = -1 x + 3/5.
Slope = -1.
The slope are different - so NOT parallel.
Answer:
Basicallly, if the machine packs 2/3 of a box every 1/2 min, then the machine will pack twice as many boxes for 1 min, since 1/2 multiplied with 2 is 1.
2/3 multiplied with 2 is 4/3.
Therefore, the machine can pack 4/3 boxes per minute.
(what my research says)
Answer:
Consider the proposition C=(p∧q∧¬r)∨(p∧¬q∧r)∨(¬p∧q∧r)
Step-by-step explanation:
This compound proposition C uses the outer disjunction (∨) then the proposition is true if and only if one of the three propositions (p∧q∧¬r),(p∧¬q∧r),(¬p∧q∧r) is true.
First, it is impossible that two or three of these propositions are simultaneously true. For example, if (p∧q∧¬r) and (p∧¬q∧r) are both true, then ¬r is true (from the first conjuntion) and r is true (from the second one), a contradiction. All the other possibilities can be discarded reasoning in the same way.
Since these propositions are mutually excluyent, C is true if and only if exactly one of the three propositions is true (and false otherwise). This can only happen if exactly two of p,q, and r are true and the other one is false. For example, (p∧q∧¬r) is true when p and q are true, and r is false.
Bi weekly means every two weeks, divide 12 (this would be your months) by your annual pay (32,110), and you would get $2675.83. I hope this helps some.
