Vcyl = Vcone
pi×x^2×y = 1/3×pi×(3x)^2 (h)
pi's cancel--> x^2•y = 3x^2 (h)
h = y/3
Answer:
Closed boundary point
Step-by-step explanation:
It says greater than OR equal too and having a closed boundary will indicate that 21 is apart of the inequality also.
I hope this helps
Answer:
Step-by-step explanation:
A) 16.13 = 12(1.03)ⁿ
1.344 = (1.03)ⁿ
ln(1.344) = n(ln(1.03))
n = (ln(1.344)) / ln(1.03)
n = 10.0062...
so a domain of 0 ≤ n ≤ 10 is reasonable
B) y-intercept is the height of the plant on day 0 which would be 12 cm
C) f(3) = 12(1.03)³ = 13.11 cm
average rate of change = Δh/Δn = (16.13 - 13.11) / (10 - 3) = 3.02 / 7
= 0.43 cm/day or average growth per day
Answer:
2) Vertical translation of 10 units
Step-by-step explanation:
Given
H and H'
Required
Which maps H to H'
First, we pick the coordinate of any point on H

First, we pick a corresponding coordinate on H'

The above coordinates show that H and H' are not a reflection of one another because neither of the x or y coordinates negate one another.
By looking at the coordinates of H and H, we have:
H:
and H':
--- The same x coordinates
H:
and H':
--- Different y coordinates
The difference between the y coordinates is:





Hence,
<em>2) Vertical translation of 10 units
</em> is correct.