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)
___
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
Step-by-step explanation:
sorry I don't now but when I now I will tell you ok but mybe it 12×12×12
The first step I would do would be to list the factors of 28.
28(1)
14(2)
7(4)
Now notice that 7 + 4 = 11
So that means that -7 + -4 = -11.
Therefore, -7(-4) = 28
Your two numbers are - 7 and - 4. Hope that helps!
Answer:
d. V = π(x^3 + 90x^2 + 2,400x + 20,000)
Step-by-step explanation:
volume of cylinder = πr^2h
We have r = x + 20; h = x + 50
V = π(x + 20)^2(x + 50)
V = π(x^2 + 40x + 400)(x + 50)
V = π(x^3 + 50x^2 + 40x^2 + 2000x + 400x + 20,000)
V = π(x^3 + 90x^2 + 2,400x + 20,000)
Answer:
B.
Step-by-step explanation:
For reference, the median for housecats is 11 and the median for small dogs is 9. So, by process of elimination, B is the correct answer.
