Answer:
(b) The planet's mass =10.241032 kilograms.
Step-by-step explanation:
Here, the mass of Neptune = 1024 1032 milligrams
Also, given: 1 milligram = 0.0000001 kilograms.
or, 1 milligram =
kilograms.
Now, to convert 1024 1032 milligrams in to kilograms, we get:
1024 1032 milligrams =
kilograms.
Now solving
, we get:
kilograms.
Hence the planet's mass =10.241032 kilograms.
Recall that a sequence

is convergent if and only if

is also a Cauchy sequence, which means to say that for any

, we can find a sufficiently large

for which

whenever both

and

exceed

.
But this never happens if we choose

and

; under these conditions, we have

Therefore

is not a Cauchy sequence and hence does not converge.
Answer:
Juan got 18.50 miles per gallon.
Step-by-step explanation:
We are given the following in the question:
Odometer in the beginning of trip = 1460.3 miles
Odometer at the end of trip = 1830.2
Gallons of gas used for trip = 20 gallons
Distance of trip =
= Odometer at the end of trip - Odometer in the beginning of trip

Thus, the trip was of 369.9 miles.
Miles per gallon =

Thus, Juan got 18.50 miles per gallon.