Answer:
the formula for a rectangular prism is length* Height* Width
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
Hi!
Given:
Multiply both sides by 
<em>Notice the sign was flipped. This is because when you multiply or divide by a negative number, you must always flip the sign!</em>
<u>Now, for the graph:</u>
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For < or > signs, it should be an open circle. For 
or 
signs, it should be closed.
Since 
is less than 6, it should go to the left. Since it's a < symbol, it should be open. Therefore your answer is B.
(looks like you were right!!)
Answer:
divided the two problems and then that would be your mi
Step-by-step explanation:
Answer:
x=12
Step-by-step explanation:
because they are proportional, the side should be 100 so you just solve from that equation for 100.
