Answer:
dy/dt = 7y / (t − 1000)
Step-by-step explanation:
Change in mass of salt = mass of salt going in − mass of salt going out
dy/dt = 0 − (C kg/L × 7 L/min)
where C is the concentration of salt in the tank.
The concentration is mass divided by volume:
C = y / V
The volume in the tank as a function of time is:
V = 1000 + 6t − 7t
V = 1000 − t
Therefore:
C = y / (1000 − t)
Substituting:
dy/dt = -7y / (1000 − t)
dy/dt = 7y / (t − 1000)
If we wanted, we could separate the variables and integrate. But the problem only asks that we find the differential equation, so here's the answer.
Answer:
the answer is f(x) = x + 5 ( the first option)
Step-by-step explanation:
Answer:
$6.80, dollar and cent amounts are always written to two decimal places.
Answer:
8 hours
Step-by-step explanation:
rental fee = 12 + 4/hr
spent = 44
44 = 12+4(hr)
32 = 4(hr)
32/4 = hr
hr = 8
Answer:
The angle
at which the sun is hitting the ground is:

Step-by-step explanation:
You can use right angle trigonometry to solve this, since the man (6 ft tall) and the shadow on the ground (3.5 ft long) form a right angle triangle as shown on the attached image.
The use the tangent function to find the angle that the sun's rays make with the ground:
