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aev [14]
2 years ago
6

(8.08×10^-10)÷(4.0×10^-3) in scientific notation?

Mathematics
1 answer:
saw5 [17]2 years ago
4 0

Answer:

\large\boxed{2.02\times10^{-7}}

Step-by-step explanation:

The scientific notation:

a\cdot10^k\\\\1\leq a

We have:

(8.08\times10^{-10})\div(4.0\times10^{-3})\\\\=\dfrac{8.08\times10^{-10}}{4.0\times10^{-3}}\\\\=\dfrac{8.08}{4}\times\dfrac{10^{-10}}{10^{-3}}\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\=2.02\times10^{-10-(-3)}\\\\=2.02\times10^{-7}

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3 odd, 3 even

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2 years ago
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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}\\
----------\\
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\end{cases}
\\\\\\
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\\\\\\
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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
6 0
3 years ago
The temperature at 6:00 a.m. was -6°F. By 12 noon, the temperature had increased by 15°F. What was the temperature at
NeTakaya

Answer:

9°

Step-by-step explanation:

-6 + 15 = 9

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Lol I had this kind of stuff, but now I’m in 7th)) Rationals are numbers that can be made into fractions, but almost all of the others can be made into it too, except for irrational. Sorry if I didn’t make sense
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