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Semenov [28]
2 years ago
15

Find the value of the following expression:

Mathematics
2 answers:
AleksandrR [38]2 years ago
8 0

Answer:

why such complicated questions.....?

Step-by-step explanation:

sweet [91]2 years ago
4 0

Answer:

  • 9

Step-by-step explanation:

  • (2⁸ ⋅ 3⁻⁵ ⋅ 6⁰)⁻² ⋅ (3⁻²/2³)⁴ ⋅ 2²⁸ =
  • 2⁻¹⁶·3¹⁰·3⁻⁸·2⁻¹²·2²⁸ =
  • 2⁻¹⁶⁻¹⁰⁺²⁸ · 3¹⁰⁻⁸ =
  • 2⁰ · 3² =
  • 1 · 9 =
  • 9
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The blue dot is at what value on the number line?
Ksenya-84 [330]

Answer:

17.

Step-by-step explanation:

one dash is equal to 2. so just go by twos

4 0
2 years ago
Find d for the arithmetic series with S17=-170 and a1=2
Irina18 [472]
So, we know the sum of the first 17 terms is -170, thus S₁₇ = -170, and we also know the first term is 2, well

\bf \textit{ sum of a finite arithmetic sequence}\\\\
S_n=\cfrac{n(a_1+a_n)}{2}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
----------\\
n=17\\
S_{17}=-170\\
a_1=2
\end{cases}
\\\\\\
-170=\cfrac{17(2+a_{17})}{2}\implies \cfrac{-170}{17}=\cfrac{(2+a_{17})}{2}
\\\\\\
-10=\cfrac{(2+a_{17})}{2}\implies -20=2+a_{17}\implies -22=a_{17}

well, since the 17th term is that much, let's check what "d" is then anyway,

\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
n=17\\
a_{17}=-22\\
a_1=2
\end{cases}
\\\\\\
-22=2+(17-1)d\implies -22=2+16d\implies -24=16d
\\\\\\
\cfrac{-24}{16}=d\implies -\cfrac{3}{2}=d
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3 years ago
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earnstyle [38]

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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