9514 1404 393
Answer:
970
Step-by-step explanation:
It turns out that the radical terms cancel, so the result is an integer. You can find the integer value using your calculator. It is ...
(5 +2√6)³ +1/(5 +2√6)³ = 970
_____
The cube of 'a' is ...
(5+2√6)³ = 5³ +3·5²·2√6 +3·5·(2√6)² +(2√6)³
= 125 +3·50√6 +3·120 +48√6
a³ = 485 +198√6
The reciprocal of this is ...
b³ = 1/a³ = 1/(485 +198√6) = (485 -198√6)/(485² -6·198²) = (485 -198√6)/1
b³ = 485 -198√6
Then the sum is ...
a³ +b³ = (485 +198√6) +(485 -198√6) = 970
300,000,000+60,000,000+2,000,000+31,000+1000+100
Every time teams play with each other (assuming there are no draws) half of them win
and the others get eliminated so
64÷2=32 32 games played and 32 teams eliminated
32÷2=16 16 games played and 16 teams eliminated
16÷2=8 the same goes here
8÷2=4 and here
4÷2=2 .
2÷2=1 .
32+16+8+4+2+1=63 games
Answer:
$22.50
Step-by-step explanation:
First, you subtract 30 from 300 which is 270, then you divide 270 by 12 because there is 12 months in a year, and then you get 22.50 per month.
