Answer:
Proportionality constant =
Step-by-step explanation:
From the graph attached,
Data set representing the relation between seeing lightning and the hearing thunder is,
{(15, 3), (25, 5), (35, 7), (45, 9)}
Since, Distance from lightening (d) ∝ Time between lightening and thunder (t)
d = kt
Here k = proportionality constant
k =
From the data set one point is (15, 3).
k =
k = miles per second
Therefore, proportionality constant is miles per second.
Answer:
1 time
Step-by-step explanation:
Given numbers are 54 and 36.
The greatest common divisor of 54 and 36 = 18
So, .
The least common multiple of 54 and 36 = 108
So, .
As 54 is replaced by and 36 is replaced by
, so after applying the given procedure, the new number is
Now, apply the same procedure, to get and
.
The greatest common divisor of 18 and 108 = 18
So, .
The least common multiple of 18 and 108 = 108
So, .
As is replaced by
and
is replaced by
, so after applying the given procedure, the new number is
which is the same as in equation (i)
Hence, after applying the procedure 1 time after , the obtained number
is the same as
.