Answer:
21
Step-by-step explanation:
think about it this way. if the first group takes 17 hours, and the second group takes 4 hours more than the first group, then how long does the second group take?
Answer:
answer is 90 degree I think so
Answer:
1/3
Step-by-step explanation:
Simplify the following:
((36/2)/(3×9))/2
((36/2)/(3×9))/2 = 36/(3×9×2×2):
36/(3×9×2×2)
36/9 = (9×4)/9 = 4:
4/(3×2×2)
4/2 = (2×2)/2 = 2:
2/(3×2)
2/(3×2) = 2/2×1/3 = 1/3:
Answer: 1/3
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)
___
The salt in the tank increases in exponentially decaying fashion from 40 grams to 300 grams with a time constant of 50 minutes.
Where x is years after 1999, the population is predicted to be ...
p(x) = 478,434*1.07^x
For x=11, this is
p(11) = 478,434*1.07^11 ≈ 1,007,033
The relation predicts the Las Vegas population in 2010 to be 1,007,033.
