Answer:
Step-by-step explanation:
the bottom one on the right
Your answers for (a) and (c) are correct.
(b) Salt flows into the tank at a rate of
If is the amount of salt (in kg) in the tank at time (in min), then the salt flows out of the tank at a rate of
The net rate of change in the amount of salt in the tank at any time is then governed by the linear differential equation
I'll solve this with the integrating factor method. The I.F. is
Distributing on both sides of the ODE gives
Integrate both sides.
Given that , we find
so that
Then the amount of salt in the tank after 1 hr = 60 min is
Answer:
59 degrees
Step-by-step explanation:
There are 360 degrees in a circle. Each arc with a known measure adds up to 242 degrees. To find the measure of the third remaining arc DC, we have to subtract 242 from 360, which leaves us with 118 degrees. The inscribed angle theorem states that the measure of an inscribed angle is half the measure of its intercepted arc. This means we have to divide 118 by 2 to find the value of DC's associated inscribed angle. This leaves us with 59 degrees.
Answer:
x = 3.57
Step-by-step explanation:
4x - 20 + 3x = 15
4x + 3x = 15+20
7x = 25
x = 3.57