For his science project, Henry designs and launches a model rocket from the rooftop of an empty building, 112 feet above the street. He places a sensor on the rocket to provide him with data about the height, h(t), (from ground level, in feet) of his rocket over time, t, (from the time of launch, in seconds). From the data returned by the sensor, Henry discovered his rocket was traveling at 96-feet per second.

step-by-step explanation:

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:

a=24; b=12

step-by-step explanation:

a/b=2: 1

a=2b

36/(1+2)=12

b=12

a=24

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