Answer:
answer
Explanation:
The rocket is 19.5 m above the ground when h=19h=19:
h19.50tttamp;=−8t2+32tamp;=−8t2+32tamp;=−8t2+32t−19.5amp;=−32±322−4(−8)(−19.5)−−−−−−−−−−−−−−−−√2(−8)amp;=−32±1024−624−−−−−−−−−√−16amp;=−32±400−−−√−16amp;=−32±20−16amp;=−32+20−16=0.75amp;=−32−20−16=3.25amp;amp;amp;amp;amp;amp;amp;amp;Substitute h=19.amp;Subtract 19.5 on both sides.amp;Solve for t using the Quadratic Formula.amp;Simplify.amp;Subtract.amp;Evaluate the root.amp;Find the two solutions.
h
19.5
0
t
t
t
amp;=−8t
2
+32t
amp;=−8t
2
+32t
amp;=−8t
2
+32t−19.5
amp;=
2(−8)
−32±
32
2
−4(−8)(−19.5)
amp;=
−16
−32±
1024−624
amp;=
−16
−32±
400
amp;=
−16
−32±20
amp;=
−16
−32+20
=0.75
amp;=
−16
−32−20
=3.25
amp;
amp;
amp;
amp;
amp;
amp;
amp;
amp;Substitute h=19.
amp;Subtract 19.5 on both sides.
amp;Solve for t using the Quadratic Formula.
amp;Simplify.
amp;Subtract.
amp;Evaluate the root.
amp;Find the two solutions.
The rocket will then be at least 19.5 m above the ground for the interval 0.75≤t≤3.25
0.75≤t≤3.25
Answer: 39.86 g/mol
Explanation:
Assuming this gas is at a pressure of 
and a temperature of 
, we can solve this problem with the Ideal Gas Law equation:
(1)
Where:
is the pressure of the gas
is the volume of the gas
the number of moles of gas
is the gas constant
is the absolute temperature of the gas in Kelvin
On the other hand, we know the density 
is given by a relation between the mass 
and the volume :
(2)
Then, the mass is:
(3)
Another important fact here is that the molar mass 
of an element is given by a relation between the mass of that element and the number of moles it contains:
(4)
Isolating :
(5)
Substituting (5) in (1):
(6)
Substituting (3) in (6):
(7)
Isolating :
(8)
Simplifying:
(9)
Solving with the given data:
(10)
Finally:
This is the molar mass of the gas
The main difference between inductive and deductive reasoning is that when we're doing inductive reasoning we're trying to create formal rules or formal inferences from a limited set of information, while during deductive reasoning, we're trying to deduce what would happen in a certain case based on general information available.
