Density of fish = number of fish / volume
0.2 = n / 20
n = 20*0.2 = 4
there are 4 fish in the tank.
Answer:
5 Boxes
Step-by-step explanation:
Volume is Length * width * height
1 box = 4.5* 2 *4= 36
Each box is 36 cubic feet. Now divide the closet size by box size
185 cubic feet/36 cubic feet per box = 5.138
Since you can't have .138 of a box, and rounding up to 6 boxes is too much, the closet will hold 5 boxes (with .138 cubic feet left over).
Area of a circle formula: A = Pi x r^2
A = 3.14 x 6^2
A = 113.04 m^2
Answer:
The simplest polynomial function is 
.
Step-by-step explanation:
A n-th order polynomial in factorized form is defined by:
(1)
Where:
- Independent variable.
- Dependent variable.
, 
,..., 
, 
- Roots of the polynomial.
We know that three roots, two real and a complex root. By Quadratic Formula, a second order polynomial has two conjugated complex number of the form 
and 
. Hence, there is an additional zero: 
.
By applying (1), we have the following polynomial when all roots are used:
By factorization and algebraic handling we have the simplest polynomial function:
![y = [x^{2}-(7+\sqrt{13})\cdot x +7\sqrt{13}]\cdot (x^{2}+27)](https://tex.z-dn.net/?f=y%20%3D%20%5Bx%5E%7B2%7D-%287%2B%5Csqrt%7B13%7D%29%5Ccdot%20x%20%2B7%5Csqrt%7B13%7D%5D%5Ccdot%20%28x%5E%7B2%7D%2B27%29)
![y = x^{2}\cdot (x^{2}+27)-(7+\sqrt{13})\cdot [(x^{2}+27)]\cdot x+7\sqrt{13}\cdot (x^{2}+27)](https://tex.z-dn.net/?f=y%20%3D%20x%5E%7B2%7D%5Ccdot%20%28x%5E%7B2%7D%2B27%29-%287%2B%5Csqrt%7B13%7D%29%5Ccdot%20%5B%28x%5E%7B2%7D%2B27%29%5D%5Ccdot%20x%2B7%5Csqrt%7B13%7D%5Ccdot%20%28x%5E%7B2%7D%2B27%29)
The simplest polynomial function is .
If its 8z+3z=z
add like factors
so 8z=3z=11z
11z=z
