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maria [59]
3 years ago
11

I need help fast with this question HELPPPP !

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
4 0

The shape looks like a box with a chunk taken out of it. So, to find the volume of the shape, let us find the volume of the hypothetical "perfect" box and then subtract the volume of the chunk.

Volume of the box = 15x6x12 = 1080 cm³

Volume of the chunk = 10x6x4 = 240 cm³

Volume of weird shape = 1080-240 = 840 cm³

Answer: 840 cm³

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Find the explicit formula for a 1 =-4,a n =a n-1 +9,n>=2
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Given:

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The explicit formula for the given recursive formula.

Solution:

We know that recursive formula of an AP is:

a_n=a_{n-1}+d

Where, d is the common difference.

We have,

a_n=a_{n-1}+9

Here, d=9.

The first term of the AP is a_1=-4.

The explicit formula for an AP is:

a_n=a_1+(n-1)d

Substituting a_1=-4 and d=9, we get

a_n=-4+(n-1)9

a_n=-4+9n-9

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Therefore, the required explicit formula for the given sequence is a_n=-13+9n.

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