Step-by-step explanation:
2(2x + 1) = 3(x - 4)
4x+2=3x-12
4x-3x=--12-2
x=14
Answer:
2348.25 m or 2348 1/4
Step-by-step explanation:
101/2 x 15 1/2 x 3 = 2348.25
Answer:
10 degrees Celsius
Step-by-step explanation:
So, the question is asking for the difference between -8 and 2.
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Explanation 1:
2 - (-8) = ?
2 + 8 = ?
10 = ?
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Explanation 2:
|2| - 0 = 2
|-8| - 0 = 8
2 + 8 = 10
Answer:
The condensed log equation is: 
Step-by-step explanation:
We use these following logarithm properties to solve this question:



In this question:


So

Becomes:

Now applying the addition and subtraction properties, we have:

The condensed log equation is: 
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>