Answer:
Proof
Step-by-step explanation:
PROOF can be said to be logical mathematical argument in which every statement of fact is supported by a reason
due to the fact mathematical proof is an inferential argument for a mathematical statement because it help to shows that the assumptions stated logically guarantee and enables the conclusion.
Therefore Proofs can be said to be an examples of exhaustive deductive reasoning because they tend to often establish logical certainty which can be differentiated from empirical arguments which inturn help to establish reasonable and effectively expectation as well as employ logic expressed in mathematical symbols which is why proofs are often written in terms of rigorous informal logic
Answer:
Step-by-step explanation:
Let y be the amount of water in the bottle x seconds after the faucet was turned on.
We have been given that the gauge on the bottle indicates that it contains 19 ounces of water after it has been filling for 5 seconds. After it has been filling for 11 seconds, the gauge indicates the bottle contains 37 ounces of water.
We have two points on the line 
and 
.
Let us find slope of the line passing through these points.
We will write our required equation in slope-intercept form 
, where, m represents slope and b represents the y-intercept.
Let us find y-intercept by substituting and coordinates of point in slope intercept form.
Therefore, our required equation would be .
The sum of two variables having the same units is given by adding the magnitudes of the quantities and expressing the outcome in the units of the quantities
Daemon's speed is (v + 45) mi/h
The reason the above value for Daemon's speed is correct is as follows:
The known parameters are;
The speed with which Bill was travelling = v mi/h
The speed with which Daemon was travelling = 45 mi/h faster than Bill
Method:
By dimensional analysis, we note that the given quantities have the same units, and therefore, they represent the same quantity of speed
To find Daemon's speed, the amount by which his speed is more than that of Bill's speed is added to the given amount of Bill's speed as follows;
Solution:
Daemon's speed = v mi/h + 45 mi/h = (v + 45) mi/h
Learn more about variable addition here:
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Answer:
32 squared ft
Step-by-step explanation:
