If 8n = 128, n equals
2 answers:
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Answer:
The number of turbines is 74
Step-by-step explanation:
* Lets explain how to solve the problem
- Four 3 megawatt wind turbines can supply enough electricity
to power 3000 homes
∴ The number of turbines is 4
∵ Each turbine give 3 megawatt
∴ The four turbines give ⇒ 4 × 3 = 12 megawatt
- This quantity give enough electricity to power 3000 homes
∴ The number of homes for the 12 megawatt is 3000
- We need to find how many turbines can cover enough electricity
to power 55,000 homes, so we must to know the quantity of
electricity that be enough to power 55,000 homes
* <em>Lets use the cross multiplication to solve the problem</em>
∵ megawatt : number of homes
12 : 3,000
? : 55,000
- <em>By using cross multiplication</em>
∴
∴ The enough electricity to power 3000 homes = 220 megawatt
∵ Each turbine gives 3 megawatt
- Find the number of turbines divides the total megawatt by the the
megawatt of one turbine
∴ The number of turbines = 220 ÷ 3 = 73.3
- If we take 73 only the electricity will not be enough to cover all
homes, so we must to take 74 turbines
∴ The number of turbines is 74
Answer:
a) Find the common ratio of this sequence.
Answer: -0.82
b) Find the sum to infinity of this sequence.
Answer: 2.2
Step-by-step explanation:
nth term in geometric series is given by
where
a is the first term
r is the common ratio and
n is the nth term
_________________________________
given
a = 4
4th term = -2.196
let
common ratio of this sequence. be r
a) Find the common ratio of this sequence.
answer: -0.82
sum of infinity of geometric sequence is given by = a/(1-r)
thus,
sum to infinity of this sequence = 4/(1-(-0.82) = 4/1.82 = 2.2
we know that 7*7=49 so thus
therefor n=2
it is written as