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Alexxandr [17]
3 years ago
6

A shipping conpany is loading cube shaped crates into larger cube shaped container. The smaller cubes have side lenghts of 2 1/2

feet. And the larger shipping container has side lengths of 10 feet. How many crates will it feet in the large shipping container
Mathematics
1 answer:
vova2212 [387]3 years ago
4 0

Answer:

  64

Step-by-step explanation:

10 ft is 4 times 2 1/2 ft, so the larger container has dimensions of 4 crates in every direction. That is, it will hold 4^3 crates, or 64 crates.

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Find the first five terms of the recursive sequence <br> an=-6an-1 where a1=4.5
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Answer:

4.5, -27, 162,-972, 5832

Step-by-step explanation:

The given recursive definition is,

a_n=-6a_{n-1}, a_1=4.5

This will form a geometric sequence with first term 4.5 and common ratio r=-6.

When n=2, we have:

a_2=-6a_1 \\  \implies \: a_2=-6 \times 4.5 =  - 27

When n=3, we get:

a_3=-6a_2 \\  \implies \: a_3=-6 \times  - 27 =  162

When n=4, we get:

a_4=-6a_3 \\  \implies \: a_4=-6 \times 162 =  - 972

When n=5, we get:

a_5=-6a_4 \\  \implies \: a_5=-6 \times  - 972 = 5832

Therefore the first five terms are:

4.5, -27, 162,-972, 5832

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Cameron's uncle is 3 times old as he is. 4 years ago, he was 4 times older. How old is Cameron?
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Let Cameron be x years old now.

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<u>Now:</u>

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Uncle =3x

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<u>4 years ago:</u>

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<u>4 years ago, Uncle is 4 times older:</u>

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Answer: Cameron is 12 years old now.

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Step-by-step explanation:

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