It would be more efficient to start at the opera and then go to Millennium park because Millennium Park is closer to the Daley Plaza so Sophia wouldn't be going all the way to the opera just to come back towards Millennium Park.
Answer:
Wala akong pake kasi ndi naman ako marunong sa math
Answer:
3x +9 and 3(x +3)
Step-by-step explanation:
Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s).
The probability is 0.3707.
We calculate the z-score associated with this using the formula
z = (X-μ)/σ = (67-68)/3 = -1/3 = -0.33
Using a z-table (http://www.z-table.com) we see that the area under the curve to the left of this (less than) is 0.3707.
Let <em>A(t)</em> denote the amount of salt (in kg) in the tank at time <em>t</em>.
At the start, there are 80 kg of salt in the tank, so <em>A(0)</em> = 80.
Solution flows into the tank at a rate of 8 L/min at a concentration of 0.04 kg/L, so that salt flows in at a rate of
(8 L/min) * (0.04 kg/L) = 0.32 kg/min
Solution flows out at the same rate, but its concentration depends on the amount of salt in the tank. The concentration of the solution is the proportion of salt in the liquid to the total volume of the liquid. Solution flows in and out at 8 L/min, so the volume of liquid (1000 L) stays the same. <em>A(t)</em> is the amount of salt in the tank, so the concentration is <em>A(t)</em>/1000 kg/L. Hence salt flows out at a rate of
(8 L/min) * (<em>A(t)</em>/1000 kg/L) = 0.008 <em>A(t)</em> kg/min
The net rate at which salt flows through the system is then given by the differential equation,
d<em>A(t)</em>/d<em>t</em> = 0.32 - 0.008 <em>A(t)</em>
(Don't forget to include the initial condition)