Y=2x-4
X+2y=10
Put y into the x equation
X+2(2x-4) =10
Expand and simplify
X+4x-8=10
5x-8 =10
5x=10+8
5x=18
X=18/5
Insert x into the original equation to get y
Y=2x-4
Y=2(18/5)-4
Y=16/5
Answer:
The population is all bottles in the production line and the sample is the 50 bottles that were selected.
Step-by-step explanation:
Edge 2020
Answer:
dddddddddddddddddddddddd could be rewritten as d^24 because d*d*d*d*d*d*d... = d^24
Step-by-step explanation:
When we multiply all of the d's together we get 
.
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.
