A rubber ball is bounced from a height of 9 meters and bounces continuously .Each successive bounce reaches a height that is a t
2 answers:
Answer:
1/81 meters
Step-by-step explanation:
Since it reaches a height of 1/3 the previous height after each bounce, we can set up an equation for "y", the balls height, after x bounces:
Therefore, to find the ball's height after 6 bounces we just plug-in 6 for x in the equation above to get 1/81.
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Answer:
3 : (1/2) =
Step-by-step explanation:
Divide: 3 :
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of is
) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators.
In words - three divided by one half = six.
If you start with a 12x16 rectangle and cut square with side length x, when you bend the sides you'll have an inner rectangle with sides and
, and a height of x.
So, the volume will be given by the product of the dimensions, i.e.
The derivative of this function is
and it equals zero if and only if
If we evaluate the volume function at these points, we have
So, the maximum volume is given if you cut a square with side length