Answer:
16 quarts of milk in each glass
Step-by-step explanation:
8 divided by 1/2 is 16
Answer:
c
Step-by-step explanation:
First off, we know that (g ° f)(2) is just both functions done in a ordered fashion. In this case, f(x) is done first.
To figure out what f(2) is, all we have to do is find where x = 2 is on the graph. In this case it is on point (2, 3). The input is the x and the output is the y, so f(2) = 3.
Then, we can figure out what g(3) by locating x = 3 on line g. It shows the point (3, 0). This means that g(3) = 0.
Answer:
3 hours
Step-by-step explanation:
15 workers * 7 hours = 105 worker hours
105 worker hours / 35 workers = 3 hours
It looks like the ODE is

with the initial condition of
.
Rewrite the right side in terms of the unit step function,

In this case, we have

The Laplace transform of the step function is easy to compute:

So, taking the Laplace transform of both sides of the ODE, we get

Solve for
:

We can split the first term into partial fractions:

If
, then
.
If
, then
.


Take the inverse transform of both sides, recalling that

where
is the Laplace transform of the function
. We have


We then end up with
