Answer: V = 8x^3-80x^3 +200x
Domain 0<x<5
Step-by-step explanation:
Dimension of cardboard = 10 by 10
Let the length of box = 10-2x
Let the width of box = 10 - 2x
Let the height of box be =x
Volume = l×w×h
V = (10-2x)×(10-2x)×x
V= 100 - 40x +42 × x
V= 8x^3 -80x^2 +200x
Answer:
0.4476 degrees.
Step-by-step explanation:
Let θ be the angle between the beam and the road. The given values form a right triangle with the distance that the beam drops ( h=3 in) being the side opposite to θ and the distance in front of the car (x=32 ft or x=384 in) being the side adjacent to θ.
Therefore, θ is given by:

The angle between the beam and the road is 0.4476 degrees.
<span>(-4, 6)
The center-radius form of a circle is the equation
(x - h)^2 + (y - k)^2 = r^2
where
(h,k) = center of circle
r = radius of circle.
Since the equation that was given is (x + 4)^2 + (y - 6)^2 = 25. then
(x - h) = (x + 4)
-h = 4
h = -4
(y - k) = (y - 6)
- k = - 6
k = 6
So the center is (h,k) = (-4,6)</span>
Answer:
Jackson's car from the trip and back used at least 2154 gallons of gas.
Step-by-step explanation: