Answer:
b=7
Step-by-step explanation:
We want to determine the positive base b in which:

The easiest way to approach this is to convert all the numbers to base 10.


Next, we factorize the resulting expression.

The positive value of b for which the equality hold is 7.
Step-by-step explanation:
P(t) = 12,000 (2)^(-t/15)
9,000 = 12,000 (2)^(-t/15)
0.75 = 2^(-t/15)
ln(0.75) = ln(2^(-t/15))
ln(0.75) = (-t/15) ln(2)
-15 ln(0.75) / ln(2) = t
t = 6.23
Answer:
J 1
--------
x^2 -x
Step-by-step explanation:
x+1
----------
x^3-x
Factor out an x in the denominator
x+1
----------
x(x^2-1)
We can factor the terms in the parentheses because it is a difference of squares
x+1
----------
x(x-1) (x+1)
Canceling the x+1 terms
1
----------
x(x-1)
Distribute in the denominator
1
--------
x^2 -x
we are given


we can multiply -1 on both sides of second equation


we can see that
both equations becomes same
so, they are coincident............Answer
ahaha good one
Step-by-step explanation:
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