The minimum surface area that such a box can have is 380 square
<h3>How to determine the minimum surface area such a box can have?</h3>
Represent the base length with x and the bwith h.
So, the volume is
V = x^2h
This gives
x^2h = 500
Make h the subject
h = 500/x^2
The surface area is
S = 2(x^2 + 2xh)
Expand
S = 2x^2 + 4xh
Substitute h = 500/x^2
S = 2x^2 + 4x * 500/x^2
Evaluate
S = 2x^2 + 2000/x
Differentiate
S' = 4x - 2000/x^2
Set the equation to 0
4x - 2000/x^2 = 0
Multiply through by x^2
4x^3 - 2000 = 0
This gives
4x^3= 2000
Divide by 4
x^3 = 500
Take the cube root
x = 7.94
Substitute x = 7.94 in S = 2x^2 + 2000/x
S = 2 * 7.94^2 + 2000/7.94
Evaluate
S = 380
Hence, the minimum surface area that such a box can have is 380 square
Read more about surface area at
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100g of ammonia releases 271.18 kJ of heat.
<u>Explanation:</u>
Given:
N₂ reacts with H₂
The reaction is:
2N₂ + 3H₂ → 2NH₃ + 92.2 kJ
According to the balanced reaction:
2 X 17g of ammonia releases 92.2 kJ of heat
34g of ammonia releases 92.2 kJ of heat
100g of ammonia will release = kJ of heat
= 271.18 kJ
Therefore, 100g of ammonia releases 271.18 kJ of heat.
I think it's 37.5 . I'm pretty sure cause I think you divide 3/8 . Then you go 2 to the right for your answer with the decimal. Not sure but . I think I'm right.
Answer:
Step 2
Step-by-step explanation:
Meredith made a fatal mistake or error in step 2;
Any quadratic problem will always have two solutions. Therefore since, we only have one solution here, it is wrong. The mistake was incurred in step 2;
From the given problem ;
<u> Wrong right</u>
2(x + 4)² = 242
(x + 4)² = 121 Step 1
x+4=11 Step 2 x + 4 = ± 11
x = 7 Step 3 x + 4 = 11 or x + 4 = -11
x = 11- 4 or x = -11 - 4
x = 7 or -15
I believe 900 meters your welcomes