Answer:

Step-by-step explanation:
Let r be the radius ( in feet ) of the cone,
So, the diameter of the cone = 2 × radius = 2r feet,
∵ The diameter of the base of the cone is three times the height,
If h represents the height of the cone,
⇒ 2r = 3 × h,
⇒
feet,
∵ Volume of a cone,

Where,
R = radius, H = height,
Thus, the volume of the given cone is,



Differentiating with respect to t ( time )

We have,




Answer:
2/3
Step-by-step explanation:
Answer:
e^ (5 ln (x + 1)) = (x + 1)^5
Step-by-step explanation:
e5 In (x + 1) or did you mean e^ (5 ln (x + 1))
because then this would simplify a lot
e^ (5 ln (x + 1)) = e ^ (ln (x + 1)^5)
e^ (5 ln (x + 1)) = e ^ (ln (x + 1)^5) = (x + 1)^5
or did you mean (e^5) ( ln (x + 1)) = ln [(x+1)^(e^5)]
But I think you meant:
e^ (5 ln (x + 1)) = e ^ (ln (x + 1)^5) = (x + 1)^5
8^2, 4^3, and 2^6 are 3 ways
Answer:
y = -1
Step-by-step explanation:
y - ( - 9) = 8
y + 9 = 8
y = 8 - 9
y = -1
- ( - turns to + because you are subtracting a negative number
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-Chetan K