The answer is 15.000 I hope this helps your question;)
Y = log x / x
y ` = (( log x )` * x - (x)` * log x) / x²=
= (1/x * x - 1 * log x ) / x² =
= ( 1 - log x ) / x²
y ` = 0;
1 - log x = 0
log x = 1
x = e
The maximum value:
y max = log e / e = 1 / e
Answer:
Please show us the questions and will help further this discussion.
W = white keys
b = black keys
w + b = 88
We know the number of black keys, it is 36
w + 36 = 88
w + 36 - 36 = 88 - 36
w = 52
So, the number of white keys is 52.
Now, we can write the ratio.
It would be :
b : w
36 : 52
Let's simplify . . .
They are both divisible by 4:
36/4 : 52/4
Simplifies to . . .
9 : 13
So, the ratio is 9 black keys: 13 white keys.
Final Answer: 9 black keys : 13 white keys
*I looked to see if this was actually true on a real piano, and it was!
Answer:
20 apples, 32 pears
Step-by-step explanation:
Using a for number of apples and p for number of pears, you get a+p=52 (amount) and 0.4a+0.5p=24 (cost).
One way of solving simultaneous equations is using like terms and adding/subtracting them to remove a variable. There aren't any like terms here, but we can create some by multiplying terms.
Multiplying the second equation by 2 gives 0.8a+p=48, so that makes a like term.
Since the symbols are the same in front of the like term, we subtract the second term from the first one. This gives 0.2a=4.
Dividing by 0.2 gives a=20.
We can sub this into either equation to get the value of p.
a+p=52, so 20+p=52, meaning p=32.
**This content involves simultaneous equations, which you may want to revise. I'm always happy to help!