Can i please know the asnwer

Mathematics

1 answer:

kicyunya [14]2 years ago

4 0

Answer:

$volume = 10m^3$

Step-by-step explanation:

This shape is called a rectangular prism. The formula for finding the volume of this prism is: $volume = L * W * H$

All you do is plug the values into the formula.

The length is 2m

The width is 1m

the height is 5m

Volume = (2m)(1m)(5m)

Volume = $10m^3$

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What are the first and last terms of this geometric series

11Alexandr11 [23.1K]

ANSWER

E. 10 and 640

EXPLANATION

The given series is

$\sum_{i=1}^45 \times 2^{2i-1}$

To find the first term of the series we substitute i=1 to get,

$a_1 = 5 \times {2}^{2 \times 1 - 1}$

$a_1 = 5 \times {2}^{ 1} = 10$

For the last term of the series, we substitute i=4 to obtain,

$a_4 = 5 \times {2}^{2 \times 4 - 1}$

$a_4 = 5 \times {2}^{7}$

This implies that,

$a_4 = 5 \times 128 = 640$

Therefore the correct answer is E

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3 years ago

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Vikentia [17]

Answer:

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2 years ago