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Anit [1.1K]
3 years ago
10

What is (8.2*10^-3)*(2.0*10^2) in scientific notation

Mathematics
1 answer:
vovikov84 [41]3 years ago
5 0

Answer:

See below

Step-by-step explanation:

(8.2*10^-3)*(2.0*10^2

= 8.2*2.0 * 10^(-3+2)

= 16.4 * 10^-1

= 1.64 * 10^0

or 1.64

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You're minimizing d(x,y,z)=\sqrt{(x-4)^2+y^2+(z+5)^2} subject to the constraint f(x,y,z)=x+y+z=1. Note that d(x,y,z) and d(x,y,z)^2 attain their extrema at the same values of x,y,z, so we'll be working with the squared distance to avoid working out some slightly more complicated partial derivatives later.

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The squared distance is then d\left(\dfrac{14}3,\dfrac23,-\dfrac{13}3\right)^2=\dfrac43, which means the shortest distance must be \sqrt{\dfrac43}=\dfrac2{\sqrt3}.
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