Link to the question hope this helps
Answer:
The 8th term of the sequence is 896/2187.
Step-by-step explanation:
We want to find the 8th term of a geometric sequence whose common ratio is 2/3 and whose first term is 7.
We can write a direct formula. Recall that the direct formula of a geometric sequence is given by:

Where <em>a</em> is the initial term and <em>r</em> is the common ratio.
Substitute:

To find the 8th term, let <em>n</em> = 8. Substitute and evaluate:

In conclusion, the 8th term of the sequence is 896/2187.
Answer:
5 /36
Step-by-step explanation:
Sample space :
Number of faces^number of dice = 6^2 = 36
Sum of 8 on a roll of 2 dies :
Probability = required outcome / Total possible outcomes
Required outcome = number of times a sum of 8 is obtained on a roll of 2 dies = 5
Total possible outcomes = sample space = 36
P(obtaining a sum of 8) = 5 /36
Answer:
25
Step-by-step explanation:
From the given information;
Numbers of posters that can be printed in an hour = no of impression/hour × no of plate utilized in each impression.
= 1000x
Thus, the required number of hours it will take can be computed as:

cost per hour = 125
If each plate costs $20 to make, then the total number of plate will equal to 40x
∴
The total cost can be computed as:


At C'(x) = 0




x = 25


where; x = 25

C''(x) = 1.6
Thus, at x = 25, C'' > 0
As such, to minimize the cost, the printer needs to make 25 metal plates.