Answer:
1/40
Step-by-step explanation:
You have to find the amount of distance they traveled since the start of the journey. 3/5 + 3/8 is 39/40. How did we get that, you may ask?
We need to find a number that both 5 and 8 have to make. That can be 40. But how we made 5 and 8 40, we need to do the same to the top numbers. So 39/40 when we add them up. Finally, we need to substract that from the whole, and this gets you 1/40. Hope this helps.
Have a wonderful day, my friend.
Answer:
7/1000
Step-by-step explanation:
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>
Undefined terms is the category its belongs to.
Answer:
483 ft²
Step-by-step explanation:
2(7x7)= 98
3(5x12)=180
2(12x5)=120
2(5x5)= 50
1(7x5) = <u> 35 </u>
483
