Letting n approach infinity results in the undefined "infinity over infinity."
Differentiate numerator and denominator separately, obtaining
1/n
(limit as n approaches infinity of) ------------- = 0. Series is convergent.
2n
Answer:
The answer to your question is: ≈ 178 balls
Step-by-step explanation:
Data
rectangular prism = 8 in x 11 in x 5 in
golf balls = 1.68 in diameter
Formula
Volume rectangular prism = l x w x h = 8 x 11 x 5 = 440 in³
Volume of ball = (4/3) πr³ = (4/3) (3.1416) (0.84)³ = 2.48 in³
# of balls inside the compartment = volume rectangular prism / volume ball
# of balls = 440 / 2.48
= 177.4 ≈ 178 balls
Answer:
x = 20
y = 26
Step-by-step explanation:
40 and 2x are vertical angles, so they're equal to each other.
40 = 2x
Divide both sides by 2
x = 20
We see that 40 and 5y + 10 are a linear pair, which means they add up to 180.
5y + 10 + 40 = 180
5y + 50 = 180
5y = 130
y = 26
19.98 rounded to the nearest whole number is 20.
In the number 19, 9 round the 1 to a 2 and the 9 becomes a 0 because of the 9 behind the decimal.
OR
You could think of a percent being 100. 98 is only 2 numbers away from 100 and thus you can round 19 up to 20.
Hope this helps! (:
