Find the height. Please help ASAP.
1 answer:
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Given :
A bucket is filled with 1 3/4 gallons of water.
The bucket has a small hole and 1/4 gallon leaks out every hour.
To Find :
How many hours will it take for the bucket to be completely empty.
Solution :
We know , mixed fraction of form a p/q is given by :
So, 1 3/4 = 7/4 .
Let, after t hours bucket is empty.
Therefore, it takes 7 hours for the bucket to be completely empty.
Hence, this is the required solution.
Answer:
180° rotation
Step-by-step explanation:
The triangle and its image are shown below.
The image is formed by a 180° rotation about the origin, every coordinate is inverted, that is, (x, y) ⟶ (-x, -y).
It is not formed by a 90° rotation or by a reflection across either axis.
Substituting into the ODE
gives
so that the coefficients of the series are given according to
We can shift the index in the recursive part of this definition to get
for . There's dependency between coefficients that are 2 indices apart, so we can consider 2 cases:
- If
, where
is an integer, then
but since , we have
and
for all
.
- If
, then
and so for all
. If
, we then have
and
.
So the ODE has solution