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
Answer: s=12
Step-by-step explanation:
s(12-3)=108
12s-3s=108
9s=108
Divide both sides by 9
s=12
Answer:
24 or 2.5
Step-by-step explanation:
I'm not sure if it was the median of the inches or responses so if it was inches its 24 and if it's the 3 2 1 3 its 2.5
Answer:
y = x + 2
Step-by-step explanation:
slope = 1
y = mx + b
4 = 1(2) + b
2 = b
y = x + 2
The answer is 25%
(1)
If 64 is 100%, 48 is how much percent:
64 : 100% = 48 : x
x = 100% * 48 : 64
x = 75
(2)
Percent of decrease is:
100% - x = 100% - 75% = 25%