OK.....CPhill here......I am petitioning on behalf of Melody and myself to become FULL-FLEDGED members of the Wolf Pack........(are there any membership dues??)
[ I hope we're not too "ancient" for you guys !!! ]
We can just take the cube root of this to find the side length......so...
3√162 = 3√(81 * 2) = 3√(27* 3 * 2) = (3)3√( 3 * 2) = about 5.45 .....and this falls between 5 and 6 on the number line
∫3 x^2 dx =
3 [x^4 / 4 ] + C =
(3/4)x^4 + C
(If you differentiate this, you will get the function under the integrand, i.e., 3x^2 )
Just divide the final amount by (1 - the percent loss).
For instance....
Final amount = 8
% loss = 20 = .20
So we have
8 / (1 - .20) = 10
And that was the original amount
(- 1/2)x = 6 multiply both sides by -2
x = -12
What is 10/2 then /2 the /2 then /2 then /100
10 / 2 = 5
5 / 2 = 2.5
2.5 / 2 = 1.25
1.25 / 2 = .625
.625 / 100 = .00625
Use the sine inverse to find this.....
sin-1(.643) = about 40.02 degrees
This could also be a 2nd quad angle = [ 180 - 40.02] = 139.98 degrees
5n^2=20n subtract 20n from both sides
5n^2 - 20n = 0 factor
5n(n - 4) - 0 set both factors to 0
5n= 0 divide both sides by 5
n = 0
And n - 4 = 0 add 4 to both sides
n = 4
So..... n= 0 and n = 4
Go to the "Formulary" tab on the onsite calculator.....you will see an applet that will let you calculate this, easily.
Thanks for those points, Melody....!!!!
