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shusha [124]
3 years ago
12

1000^m / 100^n can be written in the form of 10^z express z in terms of m and n

Mathematics
1 answer:
Julli [10]3 years ago
5 0

Answer:

z = 3m - 2n

Step-by-step explanation:

\frac{ {1000}^{m} }{ {100}^{n} }  =  {10}^{z}  \\  \\  \frac{ {10}^{3m} }{ {10}^{2n} }  =  {10}^{z}   \\  \\  {10}^{3m - 2n} =  {10}^{z}  \\  \\ 3m - 2n = z \\  \\  \huge \red{ \boxed{z = 3m - 2n}}

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3 years ago
A certain office supply store stocks 2 sizes of self-stick notepads, each in 4 colors: blue, green, yellow, or pink. The store p
liq [111]

Answer:  (C) 16

Step-by-step explanation:

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i.e. By Fundamental principle of counting , we have

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Again by fundamental principle :

Number of different packages possible = No. of choices for choosing 3 different colors x No. of sizes

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From Type 1 and Type 2 , the total number of different packages of the types described above are possible =8+8= 16

Hence, the correct answer is option (c) 16.

4 0
4 years ago
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3 years ago
(due by 9)
ValentinkaMS [17]

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