<h3>
Answer: approximately 0.19 meters long</h3>
The more accurate value is 0.18982439916059 but this value isn't exact
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Explanation:
The volume of this rectangular block is 0.24*0.19*0.15 = 0.00684 cubic meters.
If we had a cube of this volume, then it has some side length x such that x^3 = 0.00684
Apply the cube root to both sides. This is the same as raising both sides to the 1/3 power
![x^3 = 0.00684\\\\x = \sqrt[3]{0.00684}\\\\x = (0.00684)^{1/3}\\\\x \approx 0.18982439916059\\\\x \approx 0.19\\\\](https://tex.z-dn.net/?f=x%5E3%20%3D%200.00684%5C%5C%5C%5Cx%20%3D%20%5Csqrt%5B3%5D%7B0.00684%7D%5C%5C%5C%5Cx%20%3D%20%280.00684%29%5E%7B1%2F3%7D%5C%5C%5C%5Cx%20%5Capprox%200.18982439916059%5C%5C%5C%5Cx%20%5Capprox%200.19%5C%5C%5C%5C)
The side length of the cube is approximately 0.19 meters long
The sum of the sum notation ∞Σn=1 2(1/5)^n-1 is S= 5/2
<h3>How to determine the sum of the notation?</h3>
The sum notation is given as:
∞Σn=1 2(1/5)^n-1
The above notation is a geometric sequence with the following parameters
- Initial value, a = 2
- Common ratio, r = 1/5
The sum is then calculated as
S = a/(1 - r)
The equation becomes
S = 2/(1 - 1/5)
Evaluate the difference
S = 2/(4/5)
Express the equation as products
S = 2 * 5/4
Solve the expression
S= 5/2
Hence, the sum of the sum notation ∞Σn=1 2(1/5)^n-1 is S= 5/2
Read more about sum notation at
brainly.com/question/542712
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The larger number is (-7+14)/2 = 3.5.
The smaller number is (-7-14)/2 = -10.5.
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The two equations a+b=-7, a-b=14 can be solved to get these results. It is genrally convenient to solve them by adding one to the other, or subtracting one from the other.
Your answer will be x= -4y/3 + 55/3
gina saved $14
convert your percentage into a decimal: 20% converts to 0.20
then, just multiply 0.20 with 70. you should get 14.
