Hi got a question!
1 answer:
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Answer:
A
Step-by-step explanation:
This is exponential decay; the height of the ball is decreasing exponentially with each successive drop. It's not going down at a steady rate. If it was, this would be linear. But gravity doesn't work on things that way. If the ball was thrown up into the air, it would be parabolic; if the ball is dropped, the bounces are exponentially dropping in height. The form of this equation is
, or in our case:
, where
a is the initial height of the ball and
b is the decimal amount the bounce decreases each time. For us:
a = 1.5 and
b = .74
Filling in,
If ww want the height of the 6th bounce, n = 6. Filling that into the equation we already wrote for our model:
which of course simplifies to
which simplifies to
So the height of the ball is that product.
A(6) = .33 cm
A is your answer
Hello,
We have the area of the total land, so we want to find the area of each smaller square field so we can divide the large area by the small area to obtain the number of fields.
To find the area of a square, the formula
is used, where s is the length of one side of the square.
In this case, s = 1/4, so the area is =
square miles
If we have 1/2 square miles of land divided into 1/16 square mile fields, then we have (1/2) / (1/16) = (1/2) * (16/1) = (16/2) = 8 fields.
He will have 8 fields.
Hope this helps!
We have the area of the total land, so we want to find the area of each smaller square field so we can divide the large area by the small area to obtain the number of fields.
To find the area of a square, the formula
In this case, s = 1/4, so the area is =
If we have 1/2 square miles of land divided into 1/16 square mile fields, then we have (1/2) / (1/16) = (1/2) * (16/1) = (16/2) = 8 fields.
He will have 8 fields.
Hope this helps!