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
A fraction/probability is created by taking what we want and putting that over the total.
In this case, we want yellow out of the total number of marbles.
Yellow Marbles = 1
Total Marbles = 6 + 1 + 2 + 3 = 12
Probability/Fraction = 1 / 12
Hope this helps!
We have:
5(x + 7) = 85 |divide both sides by 5
x + 7 = 17 |subtract 7 from both sides
x = 10
Well when you simplify it you get this,
0=-24,
Do what’s inside the parentheses first
3-3 is 0, 3•0 is 0
2•positive 3 is 6
6- -30 is -24
So you have 0=-24
Or just -24 :)
As the camera was at 25% of the original price, this means you've got to multiply this number to by 4 to get the original price.
167*4= 668
Therefore, the camera's regular price is $668
Hope this helps :)
