I hope i helped. but I suggest you just downloaded the app Mathway
It is 40 because 24/40= 0.6 and 18/30= 0.6 so yeah its 40
The answer is: " 1 " .
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Explanation:
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7⁶ * 7⁻⁶ = 7⁽⁶⁺⁽⁻⁶⁾⁾ = 7⁽⁶⁻⁶⁾ = 7⁰ = 1 . The answer is: "1" .
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Note the following properties of exponents:
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1) xᵃ * xᵇ = x⁽ᵃ⁺ᵇ⁾ ;
2) x⁰ = 1 ; (x ≠ 0) ;
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Answer:
Hence the width, length is 20 cm and height is 10 cm
Step-by-step explanation:
Since the box has a square base, let length = width = x. Also, let the height = y, therefore:
The volume of box = width * length * height
4000 = x * x * y
4000 = x²y
y=4000/x²
The surface area (SA) = area of the base + sum of the area of each side
SA = x² + xy + xy + xy + xy
SA = x² + 4xy
substitute y = 4000/x²
SA = x² + 4x(4000/x²)
SA = x² + 16000/x
Taking the derivative:
SA' = 2x - 16000/x²
making SA' = 0:
0 = 2x - 16000/x²
2x = 16000/x²
2x³ = 16000
x³ = 8000
x = 20 cm
y = 4000 / x² = 4000 / 20² = 10 cm
Hence the width, length is 20 cm and height is 10 cm
