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wolverine [178]
2 years ago
8

What equation matches the known dimensions of the prism below? Prism with a volume of thirty six cubic inches; ? in., 4 in., 3 i

n. 4 × 3 × ? = 36 36 × ? × 4 = 3 4 × 3 × 36 = ? 36 × 3 × ? = 4
Mathematics
1 answer:
tatiyna2 years ago
7 0

Answer:

4 x 3 x ? = 36

Step-by-step explanation:

36 is quotient and we have 3 other numbers one we don't know so we simply do 4 x 3 x ? or the other way around.

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What is the sum of the first seven terms of the geometric series 2 - 10 +50 -...?
Umnica [9.8K]

Answer:

26042.

Step-by-step explanation:

What's the first term of this geometric series?

2.

What's the common ratio of this geometric series?

Divide one of the terms with the previous term. For example, divide the second term -10 with the first term 2.

\displaystyle r = \frac{-10}{2} = -5.

What's the sum of this series to the seventh term?

The sum of the first n terms of a geometric series is:

\displaystyle a_1 \cdot \frac{1-r^{n}}{1-r},

where

  • a_1 is the first term of the series,
  • r is the common ratio of the series, and
  • n is the number of terms in this series.

\displaystyle 2 \times\frac{1- (-5)^{7}}{1- (-5)}=26,042.

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