Calcula el valor de la serie: S = 12 + 22 + 32 +42 + ... 172

Mathematics

1 answer:

Doss [256]2 years ago

6 0

Answer:

S = 1564

Step-by-step explanation:

S = 12 + 22 + 32 + .. + 172

= 12 + (12+10) + (12+20) + .. + (12+160)

= 10(1 + 2 + .. + 16) + 12×17

= 10×16×17/2 + 12×17

= 1360 + 204

= 1564

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David says he has 2/3 of a pipe length left, while Don says he has 11/16 of a length left. Which person has the longest section

Kruka [31]

Answer:

Don

Step-by-step explanation:

1. We make the fractions have common denominators so it is easier to compare them. We can do this buy multiplying 2/3 by a factor of 16, so it becomes 32/48. For 11/16, we multiply by a factor of 3 so it becomes 33/48. It is now apparent that Don has the longer pipe.

5 0

2 years ago

Factor:

Naddik [55]

Answer:

D) (5x - 3) (25x^2+ 15x + 9)

Step-by-step explanation:

$125 {x}^{3} - 27 \\ \\ = ( {5x)}^{3} - {(3)}^{3} \\ \\ = (5x - 3) \{(5x) ^{2} + 5x \times 3 + ( {3})^{2} \}\\ \\ = (5x - 3) \{25 {x}^{2} + 15x + 9\}$