9514 1404 393
Answer:
maybe
Step-by-step explanation:
It can be. It depends on the problem.
__
The rules of exponents are ...
(a^b)/(a^c) = a^(b-c)
a^-b = 1/a^b
Clearly, for division problems if the denominator exponent is larger, the difference 'b-c' will be negative.
__
You recall that an exponent is the way we show repeated multiplication.
x·x·x = x³
In division, like factors cancel, so ...
Now, consider the same problem "upside down."
Answer:
The answer to your question is: I(dB) = 320
Step-by-step explanation:
Data
I(dB) = 10log(
)
I = intensity of a given sound
Io = hearing intensity
if I = 10³²(Io) find I(dB)
Process
Substitute the value of I in the equation given and simplify using logarithms rules.
l(dB) = 
Eliminate Io
I(dB) = 10 log (10³²)
Use the rule of powers in logarithms
I(dB) = 10(32)log(10)
l(dB) = 320(1)
I(dB) = 320
9514 1404 393
Answer:
split the number into equal pieces
Step-by-step explanation:
Assuming "splitting any number" means identifying parts that have the number as their sum, the maximum product of the parts will be found where the parts all have equal values.
We have to assume that the number being split is positive and all of the parts are positive.
<h3>2 parts</h3>
If we divide number n into parts x and (n -x), their product is the quadratic function x(n -x). The graph of this function opens downward and has zeros at x=0 and x=n. The vertex (maximum product) is halfway between the zeros, at x = (0 + n)/2 = n/2.
<h3>3 parts</h3>
Similarly, we can look at how to divide a (positive) number into 3 parts that have the largest product. Let's assume that one part is x. Then the other two parts will have a maximum product when they are equal. Their values will be (n-x)/2, and their product will be ((n -x)/2)^2. Then the product of the three numbers is ...
p = x(x^2 -2nx +n^2)/4 = (x^3 -2nx^2 +xn^2)/4
This will be maximized where its derivative is zero:
p' = (1/4)(3x^2 -4nx +n^2) = 0
(3x -n)(x -n) = 0 . . . . . . . . . . . . . factor
x = n/3 or n
We know that x=n will give a minimum product (0), so the maximum product is obtained when x = n/3.
<h3>more parts</h3>
A similar development can prove by induction that the parts must all be equal.
12n+32=10n+20
-10n -10n
2n+32=20
-32 -32
2n= -12
2 2
N = -6
Answer:
b or c I'm not for sure
Step-by-step explanation:
hope this helps
