Answer: 2.5 hours.
Step-by-step explanation:
Answer:
4:120
Step-by-step explanation:
for 120 student they would be 4 teacher needed per 30 student
4:120
First look for the fundamental solutions by solving the homogeneous version of the ODE:

The characteristic equation is

with roots
and
, giving the two solutions
and
.
For the non-homogeneous version, you can exploit the superposition principle and consider one term from the right side at a time.

Assume the ansatz solution,



(You could include a constant term <em>f</em> here, but it would get absorbed by the first solution
anyway.)
Substitute these into the ODE:




is already accounted for, so assume an ansatz of the form



Substitute into the ODE:





Assume an ansatz solution



Substitute into the ODE:



So, the general solution of the original ODE is

Answer:
The answer is "
The volume is greater than 50 cubic units
"
Step-by-step explanation:
In this question, the value of the units and figure is missing that's why its solution can be defined as follows:
Let's the unit value =50 and please find the figure in the attachment file.
The given figure shows its box is not filled with 50 cubes. These were ten empty places where cubes could be placed.
This figure indicates that only the box size will be four units per five units per three units, so they realize it will be in...

That's why the volume value exceeds 50 cubic units.
Answer:
y = -3x
Step-by-step explanation:
Substitute the numbers into the point-slope form equation:
y - 0 = -3(x - 0)
y = -3x