Answer:
The volume of the solid is the volume of the prism minus the volume of the cylinder.
For the cylinder, diameter = d = 4 cm
radius = d/2 = (4 cm)/2 = 2 cm
V = volume of prism - volume of cylinder
The volume of a prism is length times width times height.
The volume of a cylinder is pi times the square of the radius times the height.
V = LWH - (pi)r^2h
V = 6 cm * 6 cm * 15 cm - (pi)(2 cm)^2(15 cm)
V = 540 cm^3 - 60pi cm^3
V = (540 - 60pi) cm^3
Answer:
The equation is y = 29x + 90. So, if you plug in 3,100.00 for y.
3,100.00 = 29x + 90
3,100.00 - 90 = 29x
3,010.00 = 29x
3,010.00/29 = 29x/29
x = 103 guests
Answer:
The domain of this function: (-∞,∞), or {x|x∈ℝ}
The range of this function: (-∞,∞), or {y|y∈ℝ}
