The answer is 79 because 9/10 divided by 71.1 is 79. And if you want to check, you can multiply 9/10 by 79, which will give you 71.1. I hope this helped :)
Answer:4
Step-by-step explanation:
2x-6=14
2x=8
x=4
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Answer:
The series is convergent answer ⇒ (a)
Step-by-step explanation:
* The series is -8/5 + 32/25 + -128/125 + ........
- It is a geometric series with:
- first term a = -8/5 and common ratio r = 32/25 ÷ -8/5 = -4/5
* The difference between the convergent and divergent
in the geometric series is :
- If the geometric series is given by sum = a + a r + a r² + a r³ + ...
* Where a is the first term and r is the common ratio
* If |r| < 1 then the following geometric series converges to a / (1 - r).
- Where a/1 - r is the sum to infinity
* The proof is:
∵ S = a(1 - r^n)/(1 - r) ⇒ when IrI < 1 and n very large number
∴ r^n approach to zero
∴ S = a(1 - 0)/(1 - r) = a/(1 - r)
∴ S∞ = a/1 - r
* If |r| ≥ 1 then the above geometric series diverges
∵ r = -4/5
∴ IrI = 4/5
∴ IrI < 1
∴ The series is convergent
Answer:
The area of the prism's base in square meters is 
.
Step-by-step explanation:
The volume of a rectangular prism is found by multiplying the base of the prism by the height. Since you know that the volume is 
and the height is 
, you just need to divide the volume by the height to get the area of the base, which would be 
or .
