I acidently removed the stuff but anyways the answer is 12:27 or 12 to 27
do 12 + 15 = 27, and so 12 to 27 :)
Answer:
D
Step-by-step explanation:
72/9=8
-72/-9=8 because negative/negative=positive.
Answer:
B. 11 2/3
Step-by-step explanation:
c = 5 5/6*2
Change the mixed number to an improper fraction
5 5/6 = (6*5+5)/6 = (30+5)/6 = 35/6
c = 35/6 *2
c = 35/6 *2/1
= 70/6
Now we change it back to a mixed number
6 goes into 70 11 times
11*6 = 66 with 4 left over
11 4/6
We can simplify 4/6 by dividing the top and bottom by 2
11 2/3
Answer:
D
Step-by-step explanation:
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
