Answer:
-2(x^2+15)
Step-by-step explanation:
f(x) = −2(x − 4)^2 + 2.
Expanding (x-4)^2
(x-4)(x+4)
x(x+4)-4(x+4)
x^2+4x-4x-16
x^2-16
F(x) = -2(x^2-16)+2
-2x^2-32+2
-2x^2-30
-2(x^2+15)
The volume of the cone is: A. 213 ft³.
<h3>Volume of a Cylinder and a Cone</h3>
- Volume of cylinder = πr²h.
- Volume of cone = ⅓πr²h.
Given:
radius and height of both the cylinder and the cone are equal.
Volume of Cylinder = 639 ft³
Therefore:
πr²h = ⅓πr²h
This means that volume of cone would be ⅓ of the volume of the cylinder.
Volume of cone = ⅓(639) = 213 ft³
Therefore, the volume of the cone is: A. 213 ft³.
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Answer:
Step-by-step explanation:
2(6+12)=16
2 X 6 + 2 X 12
12 + 24
26 = 16
HOPE U GE5T IT
Answer:
(y - 25) = - 0.25(x - 20)
Step-by-step explanation:
Given that :
Height of candle after burning for 20 minutes = 25 cm
Height after burning for 1 hr (60 minutes) = 10 cm
Height (y) in cm of candle x minutes after being lit:
Using the equation :
(y - y1) = m(x - x1)
m = (change in y / change in x)
Change in height within 60 minutes :
Height at 20 minutes = 25cm
Height after an hour = 10
Change in height per hour = (25 - 10) = 15cm
Hence, m = change in height per minute
15cm / 60 = 0.25cm ( - 0.25) (decrease in height)
y1 = 25 ; x1 = 20
(y - y1) = m(x - x1)
(y - 25) = - 0.25(x - 20)
Answer: 0.06p = 0.72
p = 12
Step-by-step explanation:
The original price was $12.