Answer:
C.
Step-by-step explanation:
The GCF of 28 and 12 is 4
Soo... Distribute it to find the factors. 28/4=7 and 12/4 is 3.
4(7+3)
-2 because 1st term is 13, take away 5 2nd term is 8 take away 5 3rd term is 3 and take away 5 again 4th term is -2
The answer is 3.7a+3b
Because you combine like terms
Answer:
x=18
Step-by-step explanation:
<u>Key skills needed: Arithmetic Sequences, Addition</u>
1) We have a sequence of 8,13,x
2) To find the number being added every time, we do 13-8. This is 5.
3) This means x would be 13+5
4) 13+5 is 18 so x is 18.
<em>Hope you understood and have a nice day!! :D</em>
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>
