Factors of 7 are 1 and 7 and that's it because it is prime number and the 5 multiples are 1,2,3,4,5 2,4,6,8,10 3,6,9,12,15 4,8,12,16,20 5,10,15,20,25 6,12,18,24,30 7,14,21,28,35 8,16,24,32,40 9,18,27,36,45 10,20,30,40,50
Since (density = mass/volume), we can get the mass/weight of the liquid by integrating the density over the interior of the tank. This is done with the integral
which is more readily computed in cylindrical coordinates as
We can first write this in standard form, ax</span></span>²<span><span>+bx+c=0. To do this, we will add 11x to both sides: x</span></span>²<span><span>+24+11x=-11x+11x x</span></span>²<span><span>+11x+24=0.
Now we can factor this. Look for factors of c, 24, that sum to b, 11. Factors of 24 are: 1 and 24 (sum 25) 2 and 12 (sum 14) 3 and 8 (sum 11) 4 and 6 (sum 10).
The factors we need are 3 and 8, since they sum to 11. This gives us factored form: (x+3)(x+8)=0.
Using the zero product property, we know that in order to have a product of 0, one or both of the factors must be 0. This means we have: x+3=0 or x+8=0.
Solving the first equation: x+3-3=0-3 x=-3.
Solving the second equation: x+8-8=0-8 x=-8.</span></span>