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svlad2 [7]
3 years ago
10

Multiply. (8×10^2)⋅(2.5×10^2) A.2×102 ​ ​ B.2×103 ​ ​ C.2×104 ​ ​ ​ D.2×105 ​ ​

Mathematics
2 answers:
konstantin123 [22]3 years ago
7 0

Answer:

2×105 ​ ​

i took test it is D

JulsSmile [24]3 years ago
6 0

(8 \times  {10}^{2} )(2.5 \times  {10}^{2}) \\  = (8 \times 2.5) \times  {10}^{2 + 2}   \\  = 20 \times  {10}^{4}  \\  = 2 \times 10 \times  {10}^{4}  \\  = 2 \times  {10}^{4 + 1}  \\  = 2 \times  {10}^{5}
The answer is D.
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\bf \qquad \qquad \textit{double proportional variation}
\\\\
\begin{array}{llll}
\textit{\underline{y} varies directly with \underline{x}}\\
\textit{and inversely with \underline{z}}
\end{array}\implies y=\cfrac{kx}{z}\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad  variation
\end{array}\\\\
-------------------------------\\\\

\bf \textit{\underline{y} varies directly as (x+3) and inversely as (x-3)}\implies y=\cfrac{k(x+3)}{x-3}
\\\\\\
\textit{we also know that }
\begin{cases}
y=21\\
x=4
\end{cases}\implies 21=\cfrac{k(4+3)}{4-3}\implies 21=\cfrac{k(7)}{1}
\\\\\\
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