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lapo4ka [179]
3 years ago
15

[Related Rates]

Mathematics
1 answer:
Orlov [11]3 years ago
6 0
Below is the solution: 

A(final)=16cm^2 ds/dT=6 da/dT=? 

<span>A=(s)^2 A=16cm^2 , s=sqrt(A) , s=sqrt(16) , s=4cm </span>

<span>da/dT=2(s)(6cm/sec) , da/dT=12cm/sec(s) , da/dT=12cm/sec (4cm) 
</span>
<span>Answer should be da/dT=48cm^2/sec
</span>
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zysi [14]

Answer:

a) 5⁵ = 3125

Step-by-step explanation:

<u><em>Explanation:-</em></u>

<em>Given  </em>

<em>                   </em>\frac{3^{-5} X 10^{-5} X 125 }{5^{-7} X 6 ^{-5}  }<em></em>

<em>on simplification , we get</em>

<em>          =        </em>\frac{3^{-5} X (5 X 2)^{-5} X(5)^{3}  }{5^{-7} X (3 X 2) ^{-5}  }<em></em>

<em>By using algebraic formula </em>

<em>(ab)ⁿ = aⁿ b ⁿ      </em>

<em>   </em>

<em>           = </em>\frac{3^{-5} X (5)^{-5} X (2)^{-5} X(5)^{3}  }{5^{-7} X{(3^{-5} } )(2) ^{-5}  }<em></em>

<em>after cancellation , we get</em>

<em></em>

<em>        =    </em>\frac{ (5)^{-5} X(5)^{3}  }{5^{-7}  }<em>  </em>

<em>       =   </em>(5)^{-5} X(5)^{3} X (5)^{7}<em></em>

<em>       = 5⁻⁵⁺³⁺⁷</em>

<em>      = 5⁵</em>

<em>     = 3125</em>

<u><em>final answer:-</em></u>

<em></em>\frac{3^{-5} X 10^{-5} X 125 }{5^{-7} X 6 ^{-5}  } = 3125<em></em>

6 0
4 years ago
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