Can someone me with this: a swimming pool is 50m long and 20 m wide. its depth decreases linearly along the length from 3m to 1m. it is initially empty and is filled at a rate of 1m^3/min. how fast is the water level rising 250 min after the filling begins? how long will it take to fill the pool?

The speed the water level rising 250 min after the filling begins is 1/500 m/min and it will take 2000 minutes to fill the pool. I am hoping that these answers have satisfied your queries and it will be able to help you, and if you would like, feel free to ask another question.

step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form