An empty bucket is placed under a faucet dripping at a constant rate of 4 milliliters per minute.

with the given information, which of these statements is a reasonable conclusion?

answer options

1. there will be 24 milliliters of water in the bucket after 16 hour.

2. there will be 60 milliliters of water in the bucket after 14 hour.

3. there will be 160 milliliters of water in the bucket after 20 minutes.

4. there will be 100 milliliters of water in the bucket after 40 minutes.

2. There will be 60 milliliters of water in the bucket after 1/4 hour.

Step-by-step explanation:

Given:

Given Faucet dripping at rate = 4 ml per minute

Now we will check for all options given:

1. There will be 24 milliliters of water in the bucket after 1/6 hour.

converting hours in minutes

1 hour = 60 mins

1/6 hour =

Given Faucet dripping at rate = 4 ml per minute

After 10 minutes water will be =

Hence the statement is incorrect.

2.There will be 60 milliliters of water in the bucket after 1/4 hour.

converting hours in minutes

1 hour = 60 mins

1/4 hour =

Given Faucet dripping at rate = 4 ml per minute

After 15 minutes water will be =

Hence the statement is correct.

3. There will be 160 milliliters of water in the bucket after 20 minutes.

Now minutes is = 20 mins

Given Faucet dripping at rate = 4 ml per minute

After 20 minutes water will be =

Hence the statement is incorrect.

4. There will be 100 milliliters of water in the bucket after 40 minutes.

Now minutes is = 40 mins

Given Faucet dripping at rate = 4 ml per minute

After 40 minutes water will be =

Hence the statement is incorrect.

2. There will be 60 milliliters of water in the bucket after 1/4 hour.

the correct answer is 5 6 and 7

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0