Answer:
Step-by-step explanation:
He's using the graduated cylinder method. I think the volume might be between 15 and 20. (It's kind of not obvious...)
Answer:
x = 2
Step-by-step explanation:
Taking antilogs, you have ...
2³ × 8 = (4x)²
64 = 16x²
x = √(64/16) = √4
x = 2 . . . . . . . . (the negative square root is not a solution)
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You can also work more directly with the logs, if you like.
3·ln(2) +ln(2³) = 2ln(2²x) . . . . . . . . . . . write 4 and 8 as powers of 2
3·ln(2) +3·ln(2) = 2(2·ln(2) +ln(x)) . . . . use rules of logs to move exponents
6·ln(2) = 4·ln(2) +2·ln(x) . . . . . . . . . . . . simplify
2·ln(2) = 2·ln(x) . . . . . . . . . . . subtract 4ln(2)
ln(2) = ln(x) . . . . . . . . . . . . . . divide by 2
2 = x . . . . . . . . . . . . . . . . . . . take the antilogs
Answer:
B the service fee for coming to look at the machine
Step-by-step explanation:
Answer:
11. -2
12. +0.5
Step-by-step explanation:
11. as x increases by 1, y decreases by 2, -2/1 = -2 the ROC is -2 (rate of change)
12. as x increases by 2, y increases by 1, 1/2 = 0.5, ROC is +0.5
