This is an optimization calculus problem where you would need to know a little bit more about the box, atleast i would think. You would just need to use the volume equation of a sphere as the restrictive equation in the optimization problem. Perhaps there is a way to solve with the given information, but i do not know how to.
X divide by -2
this is your formula
x/ (-2)
Answer: 12 hours
Step-by-step explanation:
Let x = time it takes to fill the pool if the inlet pipe and drain pipe are both open
1/6 = portion of pool filled per hour by the inlet pipe
1/12 = portion of pool emptied per hour by the drain
1/x = portion of pool filled per hour if the inlet pipe and drain are both open
Then, 1/6 - 1/12 = 1/x
Multiply by the LCD, 12x, to obtain
2x - x = 12
x = 12 hours
It would be 40.
60 minus 20 = 40
Difference means subtraction
The slope-intercept form of a line is
y=mx+b
where m is the slope
b is the y-intercept
if you convert the function into an equation, then
y=4-5x
rearranging the equation
y=-5x +4
thus
m=-5 and b=4
the y-intercept of the function is 4
