Is the following relation a function?
2 answers:
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Answer: 285.2 kg
Step-by-step explanation:
Given
The volume of helium in the balloon is
The density of the helium is
Mass of the helium gas is given by the product of density and volume
Thus, the mass of gas is 285.2 kg
The equation is actually 
. Free fall is always -16t^2 as the position function. We are looking for how long it takes the object to hit the ground. In other words, the height of an object is 0 when it is laying on the ground, so how long (t) did it take to get there? We will then set that position equal to 0 and solve for t. 
. If we subtract 1437 from both sides and divide by -16, we have 
. Taking the square root of both sides gives us, rounded to the nearest tenth, t = 9.5 or t=-9.5. The 2 things in math that will never EVER be negative are time and distance/length, so -9.5 is out. That means that it took just about 9.5 seconds for the object to fall to the ground from a height of 1437 feet when pulled on by the force of gravity.