Twelve men take 6 hours to finish a piece of work.
In 1 hour, the 12 men will finish 1/6 of the work
( 1 job ) / ( 6 hrs ) = ( 1/6 of a job ) / ( 1 hr )
-----------------------------------------
That means there is of the job
left to do.
-------------------
If 12 men take 6 hours to finish a piece of work,
1 man will take 12 times as long, to finish the work, so
( 1 job ) / ( 6*12 = 72 hrs ) = rate of working for 1 man, or
-------------------
After 1 hour, there are a total of men working
20 men will work 20 times as fast as 1 man on the
of a job that remains, so
Let = hours for the 20 men to finish the job
E^2x -2e^x -8=0 => e<span>^(2x) -2e^x -8=0
Temporarily replace e^x with y.
Then (y)^2 - 2y - 8 = 0. Factors are (y-4) and (y+2).
Roots are y = 4 and y= -2.
Now remembering that we temporarily replaced e^x with y, we let
y=4 = e^x. We need to solve for x. Taking the natural log of both sides, we get:
ln 4 = x (answer)
We have to discard the other root (y= -2), because we cannot take the ln of a negative number.
</span>
Answer:
More than 200 items must be produced to keep the average cost below $40 per item.
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
8.05 divided by 1.25 is 6.44
Given that,
An equation : -9c² +2c +3 = 0
To find,
Find the value of x.
Solution,
We have, -9c² +2c +3 = 0
We can solve it using the formula as follows :

Here, a = -9, b = 2 and c =3
Put the values,

So, the solution are -0.47 and 0.69.