Step-by-step explanation:
The height of the swipe card is given by :
.....(1)
We need to find the maximum height of the swipe card and the time to reach the maximum height.
For maximum height, put dh/dt = 0
So,

It will take 1.67 seconds to reach the maximum height.
Now, put t = 1.67 s in equation (1).

Hence, the maximum height of the swipe card is 34.68 feet and the time to reach this height is 1.67 s.
A function has the property that each element of the domain maps to only one element. For example, if there's ever the case where a relation includes point (1,2) and (1,3) then that relation is not a function. So for each case write down all the points as described. If one point in the domain ever maps to two different points, then it's not a function
Figure
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Answer:the percentage decrease is 36.67%
Step-by-step explanation:
Initial amount of sugar in his diet is 15 spoons in a day. Currently, the amount of sugar in his diet is 9 1/2 spoons in a day. Converting to decimal, it becomes 9.5 spoon in a day. The amount by which he reduced his sugar intake is 15 - 9.5 = 5.5 spoons.
Percentage decrease would be expressed as
Amount by which the intake decreased/ initial intake × 100
It becomes
5.5/15 × 100 = 36.67%