Step-by-step explanation:
A,true
doesn't interfere with any function restriction
Answer: 30° and 110°
55° and 85°
70° and 70°
The sum of angles in a triangle is 180°. Therefore, since an angle has been given as 40°, the remaining angles will be:
= 180° - 40°
= 140°
Therefore,
30° + 110° = 140°
55° + 85° = 140°
70° + 70° = 140°
Answer:
x=-4/3
Step-by-step explanation:
x -4x-1=3
-3x-1=3
-3x-1+1=3+1
-3x=4
-3x/3 = 4/-3
x=-4/3
I hope this helps!
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:
5y+2=7
Step-by-step explanation:
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