Let x =lenght, y = width, and z =height
<span>The volume of the box is equal to V = xyz </span>
<span>Subject to the surface area </span>
<span>S = 2xy + 2xz + 2yz = 64 </span>
<span>= 2(xy + xz + yz) </span>
<span>= 2[xy + x(64/xy) + y(64/xy)] </span>
<span>S(x,y)= 2(xy + 64/y + 64/x) </span>
<span>Then </span>
<span>Mx(x, y) = y = 64/x^2 </span>
<span>My(x, y) = x = 64/y^2 </span>
<span>y^2 = 64/x </span>
<span>(64/x^2)^2 = 64 </span>
<span>4096/x^4 = 64/x </span>
<span>x^3 = 4096/64 </span>
<span>x^3 = 64 </span>
<span>x = 4 </span>
<span>y = 64/x^2 </span>
<span>y = 4 </span>
<span>z= 64/yx </span>
<span>z= 64/16 </span>
<span>z = 4 </span>
<span>Therefor the dimensions are cube 4.</span>
Answer:
7
Step-by-step explanation:
- ( -1 ) ^ 2 = 1 * ( 4 + 3 )
- 1 * ( 4 + 3 ) = 7
- 1 * 7 = 7
i Hope this helps
Word problems are the best to model real world problems. Most word problems use real world situations and problems that need a solution that can be solved through operations
A null hypothesis illustrates that two variables in the hypothesis have no statistical significance.
The null hypothesis is: 
The regression equation is given as:
The variables are: 
and 
The null hypothesis states that, there is no statistical significance between and .
This is represented as:
Hence, the null hypothesis is:
Read more about null hypothesis at:
brainly.com/question/16261813
Only one and only one triangle could be constructed with 3 defined sides length. Answer B
