Sperm are released out of the male reproductive system through the (2 points)
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we can use height formula
where
h(t) is the height after t seconds
v is velocity
h(0) is initial height
g is acceleration due to gravity
we know that
g=32 ft/s^2
we have
v=18.5ft/s
h(0)=4.5ft
so, we can plug these values
and we get
now, we have to find time when object will hit the ground
and we know that object will hit the ground when height becomes 0
so, we can set h(t)=0
and then we can solve for t
we can use pythagoras theorem
..............Answer
If 
is an integer, you can use induction. First show the inequality holds for 
. You have 
, which is true.
Now assume this holds in general for
, i.e. that 
. We want to prove the statement then must hold for 
.
Because, you have
and this must be greater than
for the statement to be true, so we require
for
. Well this is obviously true, because solving the inequality gives 
. So you're done.
If you is any real number, you can use derivatives to show that 
increases monotonically and faster than .
Now assume this holds in general for
Because
and this must be greater than
for
If you