Answer:
The graph of g(x) is a vertical translation of f(x). Although both have the same x coordinates but different y coordinates.
The graph of g is a <u>vertical</u><em> </em>translation of the graph of f <u>12</u> units <u>downward</u>.
Step-by-step explanation:
The equation y=f(x)+k represents that when k is negative, the graph moves downward.
Answer:
74.32
Step-by-step explanation:
Add the two together, and you have your answer b/c it's asking for the total length of the line
Answer:
19 cm
Step-by-step explanation:
Given :
Volume, V = 205 to the √3 = 205^√3
Height, h = 8.9
radius, r
Volume of cylinder:
V = πr²h
205 to the square root of 3 10094.275
company is designing a new cylindrical water bottle. The volume of the bottle will be 205 cm to the square root of 3 cm. The height of the water bottle is 8.9 cm. What is the radius of the water bottle?
10094.275 = π * r² * 8.9
10094.275 = 3.14 * 8.9 * r²
10094.275 = 27.946r²
r² = 10094.275 / 27.946
r² = 361.20643
r = √361.20643
r = 19 cm
<span>This problem is solved using the chain rule.
the area of the square is f(t) and the length of the side is g(t)
f(t)=g(t)^2
g'(t)=5
Using the chain rule
f'(t)=2*g(t)*g'(t)
The value of g(t) is sqrt(49) which is 7.
g'(t) is given as 5 cm/s
f'(t)=2*7*5=14*5=70cm^2/s</span>
