5x8=40 or 40x1=40 this will works
Answer:
8
Step-by-step explanation:
The ratio of yellow balloons to the total is ...
... 2:(2+3+2) = 2/7
This fraction of 28 balloons is ...
... (2/7)·28 = 56/7 = 8 . . . . yellow balloons
Answer:
Second option is the correct answer
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Step-by-step explanation:
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Answer:
-6re−r [sin(6θ) - cos(6θ)]
Step-by-step explanation:
the Jacobian is ∂(x, y) /∂(r, θ) = δx/δθ × δy/δr - δx/δr × δy/δθ
x = e−r sin(6θ), y = er cos(6θ)
δx/δθ = -6rcos(6θ)e−r sin(6θ), δx/δr = -sin(6θ)e−r sin(6θ)
δy/δθ = -6rsin(6θ)er cos(6θ), δy/δr = cos(6θ)er cos(6θ)
∂(x, y) /∂(r, θ) = δx/δθ × δy/δr - δx/δr × δy/δθ
= -6rcos(6θ)e−r sin(6θ) × cos(6θ)er cos(6θ) - [-sin(6θ)e−r sin(6θ) × -6rsin(6θ)er cos(6θ)]
= -6rcos²(6θ)e−r (sin(6θ) - cos(6θ)) - 6rsin²(6θ)e−r (sin(6θ) - cos(6θ))
= -6re−r (sin(6θ) - cos(6θ)) [cos²(6θ) + sin²(6θ)]
= -6re−r [sin(6θ) - cos(6θ)] since [cos²(6θ) + sin²(6θ)] = 1
1, 2, 3, 4, 1+4, 2+4, 3+4, 4+4, 4+4+1, 4+4+2, 11, 12, 13, 14, 14+1, 14+2, 14+3, 14+4, 14+4+1, 14+4+2, 21, 22, 23, 24, 24+1, 24+2, 24+3, 24+4, 24+4+1, 24+4+2, 31, 32, 33, 34, 34+1, 34+2, 34+3, 34+4, 34+4+1, 34+4+2 ,41,42, 43, 44, 44+1, 44+2, 44+3, 44+4, 44+4+1, 44+4+2