The basin beneath a
fountain is a right circular
cone that is 7 m across
and 1 m deep at the
center. After the fountain
is cleaned, the pool is
refilled at a rate of
300 L/min.
One cubic meter is 1,000 L
How long does it take to
refill the
pool? Round to the
nearest whole number as
needed.

It will take 171 minutes to  refill the  pool

Step-by-step explanation:

Diameter of cone  = 7 m

Radius of cone = 7 m

Depth of cone = 1 m

Volume of cone =

1 cubic m = 1000 L

51.33 cubic m =

Time taken to fill 300 L = 1 min

Time taken to fill 51330 L =

So, it will take 171 minutes to  refill the  pool

Hence it will take 171 minutes to  refill the  pool

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

this is false ^.^ lol