Answer:
224 in^3
Step-by-step explanation:
The foruma appropriate to the calculation of the cone's volume is ...
V = (1/3)Bh
where B represents the area of the base and h represents the height.
For your numbers, this is ...
V = (1/3)·(48 in^2)(14 in) = (16 in^2)(14 in) = 224 in^3
Answer:
P(t) = 27000 - 4*t
Step-by-step explanation:
Over a period of time, if we know the population at certain time, and the rate of change of the population, we can express the function describing such population by means of these two parameters
Then:
P(t) = P₀ + 4*t
In our case
P(t) = 27000 - 4*t
Sign minus is for decreasing population t is in months, 4 is the rate of change and finally 27000 was population the first time Talulah counted the population
Answer:

Step-by-step explanation:
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We're looking for a scalar function
such that
. That is,


Integrate the first equation with respect to
:

Differentiate with respect to
:

Integrate with respect to
:

So
is indeed conservative with the scalar potential function

where
is an arbitrary constant.
Answer:
9 cm.
Step-by-step explanation:
Let x be the number of hours.
We have been given that after a winter storm, the depth of the snow on cherry street was 10 cm. Then, the snow started melting at a rate of
, so the snow melted in x hours will be
.
Since initially there was 10 cm of snow, so the depth of snow after x hours will be:

To find the depth of snow after 3 hours we will substitute
in our expression.



Therefore, the depth of the snow on cherry street after 3 hours will be 9 cm.