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Romashka-Z-Leto [24]
3 years ago
10

the population of clarksville is about 6000 people.what is the written as a whole number multiplied by a power of ten

Mathematics
2 answers:
professor190 [17]3 years ago
8 0
Thousand = 1000 = 1x10^3

6000=6x10^3
VARVARA [1.3K]3 years ago
7 0

The rule related to this problem is when it states 101 or 102 , that means the amount of zeroes behind the given number .

For example 103 would be 1000 because 10 x 10 x 10 = 1000

So, in this particular problem the answer would be number 3 because 103 = 1000 so then you have 6 × 1000 which then = 6000

Hope this helps!

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The paraboloid meets the x-y plane when x²+y²=9. A circle of radius 3, centre origin. 

<span>Use cylindrical coordinates (r,θ,z) so paraboloid becomes z = 9−r² and f = 5r²z. </span>

<span>If F is the mean of f over the region R then F ∫ (R)dV = ∫ (R)fdV </span>

<span>∫ (R)dV = ∫∫∫ [θ=0,2π, r=0,3, z=0,9−r²] rdrdθdz </span>

<span>= ∫∫ [θ=0,2π, r=0,3] r(9−r²)drdθ = ∫ [θ=0,2π] { (9/2)3² − (1/4)3⁴} dθ = 81π/2 </span>


<span>∫ (R)fdV = ∫∫∫ [θ=0,2π, r=0,3, z=0,9−r²] 5r²z.rdrdθdz </span>

<span>= 5∫∫ [θ=0,2π, r=0,3] ½r³{ (9−r²)² − 0 } drdθ </span>

<span>= (5/2)∫∫ [θ=0,2π, r=0,3] { 81r³ − 18r⁵ + r⁷} drdθ </span>

<span>= (5/2)∫ [θ=0,2π] { (81/4)3⁴− (3)3⁶+ (1/8)3⁸} dθ = 10935π/8 </span>

<span>∴ F = 10935π/8 ÷ 81π/2 = 135/4</span>
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3 years ago
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