This is a problem of logic. So we need to identify what the conditional statement means. In logic, there are several operators, one of them is the conditional operator. <span>As the name implies, the conditional operator creates a compound statement that sets up a condition for something to be true. If the condition is met, the statement is true.
<u>Symbol:</u> </span>→
<u>Parts of Conditional:</u> Two simple statements joined by the conditional symbol. The first simple statement in a conditional is called the antecedent and the second simple statement is called the consequent<span>.
</span>So let's analyze each case:<span>
Case 1. </span><span>Analyze the conditional statement and complete the instructions that follow.
</span><u>Statement:</u><em> You will receive the trophy if you win the championship match.</em>
We can rewrite this in a standard form of the conditional operator, that is:
A→B: If you win the championship match then you will receive the trophy
A: You win the championship match
B: You will receive the trophy
<u>Hypothesis:</u> You win the championship match
<u>Conclusion:</u> You will receive the trophy
Case 2.
According to the problem we have:
<u>Hypothesis:</u> You will receive the trophy.
<u>Conclusion:</u> Y<span>ou win the championship match
</span>
A: You will receive the trophy.
B: You win the championship match
We can rewrite this in an standard form of the conditional statement, that is:
A→B: If you will receive the trophy then you win the championship match
Case 3.
According to the problem we have:
<span><u>Hypothesis:</u> You do not win the championship match.
<u>Conclusion:</u> You will not receive the trophy
</span>
A: You do not win the championship match.
B: You will not receive the trophy
We can write this in a conditional statement:
A→B: If you do not win the championship match then you will not receive the trophy
Case 4.
According to the problem we have:
<span><u>Hypothesis: You win the championship match</u>
<u>Conclusion:</u> You will receive the trophy
</span>
We can rewrite this in a conditional statement:
A: You win the championship match
B: You will receive the trophy
We can write this in a conditional statement:
A→B: If you win the championship match then you will receive the trophy
Case 5.
According to the problem we have:
<u>Hypothesis:</u> Y<span>ou will not receive the trophy
</span><u>Conclusion:</u> <span>you do not win the championship match
</span>
A: You will not receive the trophy
B: You do not win the championship match
We can write this in a conditional statement:
A→B: If you will not receive the trophy then you do not win the championship match.
Answer: -9,0
Step-by-step explanation:
Answer:
21 microwaves
Step-by-step explanation:
The net profile is equal to the income less the total cost, so the equation to the net profile NP is:
NP = 700x - (6000 + 300x)
Where 700x is the income and (6000+300x) is the cost of manufacturing.
Now, replacing NP by 2400 and solving for x, we get:
2400 = 700x - (6000 + 300x)
2400 = 700x - 6000 - 300x
2400 + 6000 = 400x
8400 = 400x

So, the least number of microwaves that must be manufactured and sold so that the net profit is $2400 is equal to 21.
Answer:
Just find the distance of the vertices of the quadrilateral ( such as : AB, BC, CD DA )by using distance formula...
Then if opposite sides of quadrilateral is equal then it is rectangle .....
hope you understand...