2 years ago

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Mathematics

1 answer:

Mariana [72]2 years ago

3 0

Answer:

One of the possible dimensions of the full trailer could be 5 by 12 by 3.

Step-by-step explanation:

Volume = weight times height times length = 12 times 5 times 3 = 180.

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The sum of the first n terms of an arithmetic sequence is n/2(4n + 20).

lesantik [10]

Answer:

(a).

$S_{n} = \frac{n}{2} (4n + 20) \\ \\S _{n - 1} = \frac{(n - 1)}{2} (4n - 4 + 20) \\ \\ S _{n - 1} = \frac{(n - 1)}{2} (4n + 16) \\ \\S _{n - 1} = \frac{(n - 1)(4n + 16)}{2} \\ \\ { \boxed{S _{n - 1} = {2 {n}^{2} + 6n - 8}}} \\$

(b).

from general equation:

$S _{n - 1} = \frac{(n - 1)}{2} (4n + 16)$

first term is 4n

common difference:

$16 = \{(n - 1) - 1 \}d \\ 16 = (n - 2)d \\ d = \frac{16}{n - 2}$

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97/113

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67 robots have legs only, 21 have wheels only, and 9 have both legs and wheels. The total number of robots with legs and/or wheels is 97.

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