Darwin’s age is 6 years greater than twice fiona’s age. if darwin is 50 years old, how many years old is fiona?
1 answer:
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Answer:
Step-by-step explanation:
<h3> The complete exercise is attached.</h3>You can observe in the picture attached that the box is a rectangular prism.
The volume of a rectangular prism can be found with this formula:
Where "l" is the length, "w" is the width and "h" is the height.
You know that the lenght of each side of those cubes is 1 centimeter. Therefore, you can multiply the number of cubes on each side of the box by 1 centimeter in order to find the lenght, the width and the height of the box:
Now you can substitute the lenght, the width and the height of the box into the formula shown at the beginning of the explanation:
Finally, evaluating, you get that the volume of the box is:
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Answer:
<h3>i¹ + i² + i³ +. . .+ i⁹⁹ + i¹⁰⁰ = 0</h3>Step-by-step explanation:
Consider the sum S = i¹ + i² + i³ +. . .+ i⁹⁹ + i¹⁰⁰
S = i¹ + i² + i³ + . . . + i⁹⁹ + i¹⁰⁰
S = a₁ + a₂ + a₃ +. . . + a₉₉ + a₁₀₀
then, S is the sum of 100 consecutive terms of a geometric sequence (an)
where the first term a1 = i¹ = i and the common ratio = i
FORMULA:______________________
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then
or i¹⁰⁰ = (i⁴)²⁵ = 1²⁵ = 1 (we know that i⁴ = 1)
Hence
S = 0