Chiang is filling a 50ft^3 container with water at a rate of 0.5ft^3/min. Interpret the key features for this situation.

The volume of a container is the amount of liquid the container can contain. The key features and their interpretation are:

Given that:

The rate is calculated as:

So, we have:

Make time the subject

So, the interpretation is as follows:

Read more about volumes and rates at:

link

The function is f(x) = 50 - 0.5x

We insert 0 as the time is less than 1

0 = 50- 0.5x

0.5x =50

x=100

Step-by-step explanation:

168

step-by-step explanation:

i am pretty sure that the answer is 168

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