Answer:
The law of detachment and syllogism is valid here
Explanation:
The law of detachment and syllogism is associated with inductive reasoning. This law states that a conclusion is valid if the premise or hypothesis is valid, therefore if a then b. In others a results in b.
The law of detachment is denoted
[(a→b)∧a]→b
The law of syllogism derives from the law of detachment. Syllogism says that if a results in b and b results in c, then a results in c. In other words since a causes b and b causes c, then if a then c.
It is denoted
[(a→b)∧(b→c)]→(a→c)
In the above example, given: If you live in Orlando, then you live in Florida
Morgan does not live in Orlando, therefore it is concluded that he does not live in Florida
Answer:
The function is non-proportional.
Step-by-step explanation:
If the function was proportional, when the number of hours spent riding the bicycle is equal to 0, the total cost of renting the bicycle would also be 0. In other words, the function would be proportional if y=0 when x=0. However, this is not the case.

Plug 0 into the equation as x

When 1 bicycle has been rented for 0 hours, the customer still has to pay 10 dollars just for renting it. When x=0, y=10. This means that the function is non-proportional.
I hope this helps!
Answer:
19/41
Step-by-step explanation:
this fraction cannot be simplified since 19 is a prime number.
Answer:
The percent error of Heather's calculation is <u>8%</u>.
Step-by-step explanation:
Given:
Heather measures the temperature of her coffee to be 133.4 degrees fahrenheit. It is actually 145 degrees fahrenheit.
Now, to find the percent error of Heather's calculation.
The temperature of coffee Heather measures = 133.4° F.
Coffee's actual temperature = 145° F.
So, to get the measurement in error we subtract the temperature of coffee Heather measures from coffee's actual temperature:

Now, to get the percent error:



Therefore, the percent error of Heather's calculation is 8%.
Pythagoras theorm state is-
the square of the hypotenuse side is equal to the sum of squares of the other two sides