Lolita closes the nozzle of the funnel and fills it completely with a liquid. she then opens the nozzle. if the liquid drips at the rate of 12 cubic inches per minute, how long will it take for all the liquid to pass through the nozzle? (use π=3. a] 2.35 minutes. b] 4.71 minutes. c] 1.57 minutes. d] 3.14 minutes

Option d. 3.14 minutes.

Step-by-step explanation:

To answer this question, we first determine the volume of the inverted cone through the equation,

                                      V = Bh/3

where B is the area of the base and h is the height. 

                                  V = (π)(3 in)²(4 in) / 3

                                       V = 37.68 in³

Now the liquid drips at the rate of 12 in³ every minute, divide the rate of the water dripping by the number of house,

                                               n = (37.68 in³)/12 in³/min

                                                  n = 3.14 mins

It would take 3.14 minutes for all the liquid to pass through the nozzle.

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

c: y > - 1/6x + 1

step-by-step explanation:

dashed line - meaning this < or > also not equal

solid line - meaning this < or > also equal

your answer is c because y > means up & it's shaded up, but y < means down

hope this ! : )