Add: 2/9 + 3/5 = 2 · 5/9 · 5 + 3 · 9/5 ·9 = 10/45 + 27/45 = 10 + 27/45 = 37/45
2 + 3 = 5 > = 5;
2 + 4 = 6 > =5;
2 + 5 = 7 >= 5;
2 + 6 = 8 >= 5;
3+2 = 5 >= 5;
3 + 3 = 6 >= 5;
3 + 4 = 7 >= 5;
3 + 5 = 8 >= 5;
3 + 6 = 9 >= 5;
4+1 = 5 >= 5;
4+2 = 6 >= 5;
4+3 = 7 >= 5;
4+4 = 8 >= 5;
4+5 = 9 >= 5;
4+6 = 10 >= 5;
5+1 = 6 >= 5;
5+2 = 7 >= 5;
..............
6 + 6 = 12 >= 5;
Number of ways it can happen = 27;
Total number of outcomes = 6*6 = 36;
Probability of an event happening = Number of ways it can happen<span><span> / </span>Total number of outcomes => Probability = 27/36 = 0.75;</span>
Salt flows into the tank at a rate of
(1/2 lb/gal) * (6 gal/min) = 3 lb/min
and flows out at a rate of
(Q(t)/60 lb/gal) * (6 gal/min) = 6Q(t) lb/min
The net rate of change of the amount of salt in the tank at time 
is then governed by
Solve for 
:
![\dfrac{\mathrm d}{\mathrm dt}[e^{6t}Q]=3e^{6t}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dt%7D%5Be%5E%7B6t%7DQ%5D%3D3e%5E%7B6t%7D)
The tank starts with 10 lb of salt, so that Q(0) = 10. This gives us
so that the amount of salt in the tank at time is given by
Answer:it would take him five weeks to lose ten pounds
Step-by-step explanation:
Answer: C
Step-by-step explanation:
Reflecting over the x axis, the image of a point in Quadrant 2 is a point in Quadrant 3.
