Answer:
the amount of time until 23 pounds of salt remain in the tank is 0.088 minutes.
Step-by-step explanation:
The variation of the concentration of salt can be expressed as:
being
C1: the concentration of salt in the inflow
Qi: the flow entering the tank
C2: the concentration leaving the tank (the same concentration that is in every part of the tank at that moment)
Qo: the flow going out of the tank.
With no salt in the inflow (C1=0), the equation can be reduced to
Rearranging the equation, it becomes
Integrating both sides
It is known that the concentration at t=0 is 30 pounds in 60 gallons, so C(0) is 0.5 pounds/gallon.
The final equation for the concentration of salt at any given time is
To answer how long it will be until there are 23 pounds of salt in the tank, we can use the last equation:
Answer:
Step-by-step explanation:
A six sided figure has a total of 720 degrees for its interior angles. That comes from the formula (n - 2) * 180 where n is 6.
4 * 180 = 730.
So add up what you know plus x and make it equal to 720.
112 + 133 + 128 + 100 + 120 + x = 720 Combine the left.
593 + x = 720 Subtract 593 from both sides.
x = 720 - 593
x = 127
Answer:
f(–6) = 10
Step-by-step explanation:
Each ordered pair represents the pair (x, f(x)).
The domain (set of possible x-values) is the list of first numbers in the pairs:
{8, 0, 1, 2, -6}
Any number not on this list will not appear as x in f(x). This eliminates f(-3) and f(3).
The pair for f(8) is (8, -3), so f(8) = -3, not 0.
The pair for f(-6) is (-6, 10), so f(-6) = 10, as shown in the last answer choice.