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Aleks04 [339]
3 years ago
15

What is the explicit formula for the arithmetic sequence 4/5, 29/30, 17/15, 13/10?

Mathematics
2 answers:
svetoff [14.1K]3 years ago
7 0

Answer:

The answer is D,

a(n) = 4/5 + 1/6(n- 1)

just took the test :)

Step-by-step explanation:

Dvinal [7]3 years ago
6 0

Answer:

d

Step-by-step explanation:

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so, we know both the rectangular prism and the cylinder got filled up to a certain height each, the same height say "h" cm.

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\bf \stackrel{\stackrel{\textit{volume of a}}{\textit{rectangular prism}}}{V=Lwh}~~ \begin{cases} L=length\\ w=width\\ h=height\\[-0.5em] \hrulefill\\ L=4\\ w=2\\ \end{cases}~\hspace{2em}\stackrel{\textit{volume of a cylinder}}{V=\pi r^2 h}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=1 \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}

\bf \stackrel{\textit{prism's volume}}{(4)(2)(h)}~~+~~\stackrel{\textit{cylinder's volume}}{(\pi )(1)^2(h)}~~=~~80 \\\\\\ 8h+\pi h=80\implies h(8+\pi )=80\implies h=\cfrac{80}{8+\pi }\implies h\approx 7.180301999

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