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tatiyna
2 years ago
14

Find the 59th term of the following arithmetic sequence. 15, 23, 31, 39

Mathematics
1 answer:
m_a_m_a [10]2 years ago
4 0

15~~,~~\stackrel{15+8}{23}~~,~~\stackrel{23+8}{31}~~,~~\stackrel{31+8}{39}~~,~~...~\hspace{10em}\stackrel{common~difference}{d=8} \\\\[-0.35em] ~\dotfill\\\\ n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\stackrel{\textit{term position}}{59}\\ a_1=\stackrel{\textit{first term}}{15}\\ d=\stackrel{\textit{common difference}}{8} \end{cases} \\\\\\ a_{59}=15+(59-1)8\implies a_{59}=15+472-8\implies a_{59}=479

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H(x)=-5x^2+10x+15h(x)=−5x 2 +10x+15h, left parenthesis, x, right parenthesis, equals, minus, 5, x, squared, plus, 10, x, plus, 1
kkurt [141]

Answer:

15 units

Step-by-step explanation:

Given the equation which models the path of a stone as:

H(x)=-5x^2+10x+15

At the time when the stone was thrown

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H(0)=-5(0)^2+10(0)+15\\H(0)=15

The height of the stone at the time it is thrown is 15 units.

5 0
2 years ago
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\huge{\boxed{11:21}}

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3 years ago
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Arturiano [62]

Answer:

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Step-by-step explanation:

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we add this to both sides

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Finding square root of both sides

x-3/2 = √(3/4)

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aleksandr82 [10.1K]
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25/100<span />
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