Cherry sales as a % of total sales = (0.5 x 1.2)/(0.5 x 1.2 + 0.2 x 1.4 + 0.3 x 1.6) = 0.6 / (0.6 + 0.28 + 0.48) = 0.6 / 1.36 = 0.4412 = 44.12%

Therefore, 44.12% of the total sales will be cherry.

8 0

2 years ago

chegg evaluate the following integral using trigonometric substitution. dx/square root(x^2-81), x > 9

vesna_86 [32]

Integration will be ln | ( x /9 ) + ( $\sqrt{(x/9)^{2} - 1 }$ ) | + c .

Given ∫ 1 dx / ( $x^{2}$ - 81 )

Put ,

x = 9 secθ

dx = 9 secθ tanθ dθ

and

$\sqrt{x^{2} - 9^{2} }$ = 9 tanθ

Substituting values in ∫ 1 dx / ( $x^{2}$ - 81 ) ,

∫ (9 secθ tanθ ) dθ / ( 9 tanθ )

∫ secθ dθ = ln | secθ + tanθ | + c

= ln | ( x /9 ) + ( $\sqrt{x^{2} - 9^{2} }$ / 9 ) | + c

= ln | ( x /9 ) + ( $\sqrt{(x/9)^{2} - 1 }$ ) | + c

Hence , the integration will be ln | ( x /9 ) + ( $\sqrt{(x/9)^{2} - 1 }$ ) | + c .

To learn more on integration follow link :

brainly.com/question/20156869

#SPJ4

6 0

1 year ago

How are synthetic molecules and natural molecules different

Alborosie

One is significantly fatter than the other and has more friction

4 0

3 years ago