We take the function as a sequence
Term 1 ⇒ 5
Term 2 ⇒ 4
Term 3 ⇒ 3.2
Between terms, there is a common ratio of ⁴/₅
We get it from here:
Term 2 / Term 1 =
Term 3 / Term 2 =
=
When a sequence has a common ratio between term, the sequence is a Geometric Sequence
Where
is the first term,
is the common ratio, and
is the term number
We have:
and
The formula for the function is
Answer:
Step-by-step explanation:
Total surface area = 2πr(r+h)
If the total area of the bigger cylinder is 400cm² and radius is 4cm, then;
400=2(3.14)(r)(r+4)
400= 6.26r(r+4)
400=100.48 + 25.12h
299.52 = 25.12h
H = 299.52/25.12
H = 11.92cm
For the smaller cylinder
The height is calculated as;
H/h = R/r
11/92/
Answer:
-5/2
Step-by-step explanation:
The next term will be,
→ -2/4
→ (-2-3)/(4÷2)
→ -5/2
Hence, the solution is -5/2.
If the runner moves at 6 miles per hour for 2 hours before the cyclist starts, the runner has a 12 mile lead at the beginning. If the cyclist is going at 16 miles per hour, he is overtaking the runner at 10 miles per hour, because 16-6=10. Then, the amount of time it takes the cyclist to go 2 miles in 10 miles per hour is the answer. this is 1/5 of an hour, or 12 minutes.
Answer:
233445.54 gallons
Step-by-step explanation:
Given data
Diameter= 15m
Radius= 7.5m
Height= 5m
Let us first find the volume
the volume of a cylinder is given as
V= πr^2h
substitute
V= 3.142*7.5^2*5
V= 3.142*56.25*5
V=883.6875 m^3
Hence the volume in gallons is
233445.54 gallons (from conversion tables)
