F(x)= ∫ln²x/x dx= ∫ln²xd(lnx) cause d(lnx)= (lnx)'dx=1/x dx
= ln³x/3 +C with C is constant
In addition, we have f(2)=6, so we have 6=ln³2/3+C
or C= 6- <span>ln³2/3
And f(x)= </span>ln³x/3+ <span> 6- </span><span>ln³2/3</span>
Step-by-step explanation:
Imagine this segment, given that m is the midpoint of segment JK...
J________M________K
JM = 7x-32 MK = 89 - 4x (given)
If m is the midpoint, then JM and MK are the same lengths (equal to each other). We can use that to first find what <em>x</em> is.
Steps to find x (we have to get x by itself):
(we haven't found the answer yet! we only found x)
Now that we found x, we can find segment MK. Now we know that:
Let's plug x into the equation:
Answer: 
Answer:
$778.46 is the bi-weekly net pay
Step-by-step explanation:
Net pay is the gross pay minus taxes
Net pay = gross pay - gross pay * tax rate
Simplifying this equation by factoring out gross pay
Net pay = gross pay (1- tax rate)
Substituting this in
Net pay = gross pay (1- tax rate)
We know the
hours worked = 23000
tax rate = .12
Net pay = 23000 (1- .12)
Net pay = 23000 (.88)
Net pay = 20240
But this is per year, and we want it bi weekly
There are 52 weeks in a year, divide by 2 (bi weekly)= 26
So divide 20240 by 26, so you get paid every 2 weeks.
$20240/26 = 778.46 (we round to the nearest cent)
They get paid $22 a hour, so ur answer would be 374÷22=$17
