Answer:
Hi! The correct answer is x=1/4+y/2!
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation
Answer:
A(t) = 300 -260e^(-t/50)
Step-by-step explanation:
The rate of change of A(t) is ...
A'(t) = 6 -6/300·A(t)
Rewriting, we have ...
A'(t) +(1/50)A(t) = 6
This has solution ...
A(t) = p + qe^-(t/50)
We need to find the values of p and q. Using the differential equation, we ahve ...
A'(t) = -q/50e^-(t/50) = 6 - (p +qe^-(t/50))/50
0 = 6 -p/50
p = 300
From the initial condition, ...
A(0) = 300 +q = 40
q = -260
So, the complete solution is ...
A(t) = 300 -260e^(-t/50)
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The salt in the tank increases in exponentially decaying fashion from 40 grams to 300 grams with a time constant of 50 minutes.
Answer:
The answer is 28.
Step-by-step explanation:
Add all of them.
(L/ length) 12.
(W/ width) 10
(H/ height) 6
12 + 10 + 6 = 28
I hope this helps
Answer:
x = 1
Step-by-step explanation:
We will represent the unknown number as x
10 - x = 8 + x
Add x to both sides
10 - x + x = 8 + x + x
10 = 8 + 2x
Subtract 8 from both sides
10 - 8 = 2x
2 = 2x
Divide both sides by 2
1 = x
x = 1
