Hiroki wrote a number that is the opposite of negitve 3. What did Hiroki write.
1 answer:
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Answer:
a) is increasing in two regions: (i)
and (ii)
.
b) decreases in
.
Step-by-step explanation:
Let , where
is the quantity of insecticide, measured in hundreds of liters, and
is the total manufacturing cost as a function of the quantity of the insecticide, measured in US dollars. A possible approach to determine which regions of
are decreasing and increasing by means of the first derivative and graphing tools. The first derivative of the function is:
(1)
Please notice that regions where C(x) is increasing has , whereas
when
.
We notice that is increasing in two regions: (i)
and (ii)
. Besides,
decreases in
.
Answer:
It will take 6.118 minutes to fill up the pool to a depth of 20 cm
Step-by-step explanation:
The first step is to calculate the volume of the wading pool.
we will assume it is a cylinder, hence the volume will be =
<em>Where r= radius of the pool = 115/2 = 57.5cm</em>
<em>h = depth of the pool =20 cm</em>
The volume of the pool will be
We are filling a pool of 208,000cm ^{3} at the rate of 34000cm^3, cubed per minute.
To get the time it will take to fill up the pool, we will have to divide as follows:
208,000cm ^{3} / 34000cm^3 =6.118 minutes
Therefore it will take 6.118 minutes to fill up the pool to a depth of 20 cm