You really have 2 separate equations to solve here:
1) 5(x-1) = - 20 => 5x - 5 = -20 => 5x = -15 => x = -3
2) 3y = -15 => y = -5
Answer:
69040
Step-by-step explanation:
Answer:
bottom diagram
15 green
Step-by-step explanation:
5 green for every 2 blue
The bottom diagram matches that situation
5 green 10 green 15 green
2 blue 4 blue 6 blue
----- --------- ----------
3 diff 6 diff 9 diff
When she paints 15 green and 6 blue she has painted 9 more green than blue
Ms. Perkins will have 24 pieces of candy left, because 30 ÷ 5 = 6. So there for 1/5 is equal to 6 pieces of candy.
Answer: 1/30
Step-by-step explanation:
∫[0,4] arcsin(x/4) dx = 2π-4
x = 4sin(u)
arcsin(x/4) = arcsin(sin(u)) = u
dx = 4cos(u) du
∫[0,4] 4u cos(u) du
∫[0,4] f(x) dx = ∫[0,π/2] g(u) du
v = ∫[1,e] π(R^2-r^2) dx
where R=2 and r=lnx+1
v = ∫[1,e] π(4-(lnx + 1)^2) dx
Using shells dy
v = ∫[0,1] 2πrh dy
where r = y+1 and h=x-1=e^y-1
v = ∫[0,1] 2π(y+1)(e^y-1) dy
v = ∫[0,1] (x-x^2)^2 dx = 1/30
