Is it the area of the whole figure or the shaded part
Answer:
Look I’m not an expert in math but here it is: 7.4
Step-by-step explanation:
Or in fraction form 37/500
Answer: The amount of salt in the tank after 8 minutes is 36.52 pounds.
Step-by-step explanation:
Salt in the tank is modelled by the Principle of Mass Conservation, which states:
(Salt mass rate per unit time to the tank) - (Salt mass per unit time from the tank) = (Salt accumulation rate of the tank)
Flow is measured as the product of salt concentration and flow. A well stirred mixture means that salt concentrations within tank and in the output mass flow are the same. Inflow salt concentration remains constant. Hence:
By expanding the previous equation:
The tank capacity and capacity rate of change given in gallons and gallons per minute are, respectivelly:
Since there is no accumulation within the tank, expression is simplified to this:
By rearranging the expression, it is noticed the presence of a First-Order Non-Homogeneous Linear Ordinary Differential Equation:
, where .
The solution of this equation is:
The salt concentration after 8 minutes is:
The instantaneous amount of salt in the tank is:
Tan 40 = h / 20 where h = height of the pole.
h = 20 tan 40 = 16.78 feet
Answer:
x = 24
Step-by-step explanation:
10(x+12)=15x (Given)
10x + 120 = 15x (Distributive property of equality)
-5x = -120 (Subtraction property of equality)
x = 24 (Division property of equality)