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iVinArrow [24]
3 years ago
6

Find the range for the following set of data: 75, 55, 68, 74, 89, 100, 95, 71, 58, 111, 53, 97, 117, 103, 82, 80 a. 63 c. 81 b.

64 d. 83
Mathematics
1 answer:
Maksim231197 [3]3 years ago
5 0

Answer:

(C) 64

Step-by-step explanation:

Largest number: 117   Smallest number: 53

117 - 53 = 64

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(16a+20a)-18b

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Which expression is equivalent to ( 4mn / m^-2n^6)^-2
inn [45]

Here are a few rules with exponents that apply here:

  1. Raising a power to a power: (x^m)^n=x^{m*n}
  2. Dividing exponents of the same base: \frac{x^m}{x^n}=x^{m-n}
  3. Converting negative exponents to positive ones: x^{-m}=\frac{1}{x^m}\ \textsf{and}\ \frac{1}{x^{-m}}=x^m

Firstly, solve the outer exponent:

(\frac{4mn}{m^{-2}n^{6}})^{-2}=\frac{4^{-2}m^{-2}n^{-2}}{m^{-2*-2}n^{6*-2}}=\frac{4^{-2}m^{-2}n^{-2}}{m^4n^{-12}}

Next, divide:

\frac{4^{-2}m^{-2}n^{-2}}{m^4n^{-12}}=4^{-2}m^{-2-4}n^{-2-(-12)}=4^{-2}m^{-6}n^{10}

Next, convert the negative exponents:

4^{-2}m^{-6}n^{10}=\frac{n^{10}}{4^2m^6}=\frac{n^{10}}{16m^6}

<u>Your final answer is n^10/16m^6 , or B.</u>

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Step-by-step explanation:

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Step-by-step explanation:

Given : Cuboid with length 12 , width 6 and height 8 units.

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Width = 6 units

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Therefore, Volume = 12 *6 *8 , Surface area = 2 ( 12 *6  + 8 *12 + 6* 8 ) .

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