The sum formula for a geometric sequaence is:
sum(n) = a1(1-r^n)/1-r
Where n is the number of terms, a1 is the first term and r is the common ratio:
s(8) = 3(1-1/2^8) / (1-1/2)
s(8) = 3(1-1/256) / 1/2
s(8) = 2 253/256 / 1/2
s(8) = 765/128
The answer is C.
Answer:
Step-by-step explanation:
Find the greatest common factor of 12x + 8
4(3x + 2) so one side is 4 and the other is 3x + 2
Answer:

Step-by-step explanation:
The lab technician is dividing a cell that has a diameter of

The new cells has a diameter that is half of the diameter of the original cell.
The diameter of the new cell is given as:

Rewrite the numerator in standard notation:


We rewrite in scientific notation to obtain:

Total number of pastries = 54 + 31 + 10 = 95
Number of croissants = 10
Probability of picking a croissant = 10/95
On simplifying, we get, <u>2/19</u>