Answer:
d. converges, -25
Step-by-step explanation:
An infinite geometric series converges if the absolute value of the common ratio is less than 1.
Here, the common ratio is 4/5:
| 4/5 | = 4/5 < 1
So the series converges. The sum of an infinite geometric series is:
S = a₁ / (1 − r)
where a₁ is the first term and r is the common ratio.
Here, a₁ = -5 and r = 4/5:
S = -5 / (1 − 4/5)
S = -25
60x=1,000,000
----- ---------------
60 60
X=16,666 2/3 or
X=16,666.6667 it would take approximately 16,667 minutes for the average resting heart to beat 1,000,000 times.
12 is the correct answer. When you have problems like this just add over the equal sign. So 5 plus 6 plus 1 is 12. 12 minus 6 minus 1 is 5!
Here you'll need to do some online research, using "area of a cone" as your search term. There is a formula! But it's complicated.
Once you've found this formula online, substitute 17 feet for r. The height of the cone has to be calculated from the slant height (these are not the same):
(slant height)^2 = (12 feet)^2 = r^2 + h^2, where h is the actual height of the cone.
The area of the base is pi*r^2, or pi*17^2 square feet.
The answer to the variable r is r=-4
