A balloon popping has a decibel reading of 125. Given the formula for a

decibel reading, (logarithmic equation)

Step-by-step explanation:

The equation that determines decibel levels is

Where represents the intensity of the sound and the ten power represents the softest sound, that ratio is the comparison to find the decibels.

In this case, we have 125 decibels. So, we need to use this value in the formula to find the intensity

Therefore, the intensity of the sound is 3.16, approximately. Which is at the same level as a loud rock concert.

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: