Step-by-step explanation:
Area of a circle = πr²
r = 6 mm (given)
Area = π(6)² = 36π mm².
Step-by-step explanation:
recall in a linear equation expressed in the form
y = mx + b,
m represents the slope or the rate of change in the value of y for a unit change in the value of x
b represents the y-intercept (i.e the value of y when x = 0)
If you compare these definitions to what was given in the question, the rate of change in snowfall is given as 1/2 inches per hour. This is equivalent to the m value in our general equation above. Hence we can say that the rate of change in snowfall is equal to the slope of the graph.
The question also states that before the snow even started to fall (i.e when x=0 hours), there was already 8 inches on the ground. This is equivalent to the value of b in our general equation above. Hence we can say that the y-intercept is representative of the 8 inches that was already on the ground when the snow started falling.
Step-by-step explanation:
The volume of a cone can be derived by writing an expression that represents the volume of one cone within the cylinder.
the expression for the volume of a cylinder is
the volume of a cone is a part of the volume of a cylinder
Hence the volume of a cone can be derived by dividing the volume of a cylinder by 3
Answer:
The answer to your question is: - 7
Step-by-step explanation:
3125 = (- 1 - 18t) ⁵/³
(3125)³ = ( -1 - 18t)⁵
(3125)³/⁵ = - 1 - 18t
125 = - 1 - 18t
125 + 1 = - 18t
126 = - 18t
t = 126 / -18
t = -7
3125³ = 3.0518 x 10¹⁰
![\sqrt[5]{3.0518 x 10¹⁰}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B3.0518%20x%2010%C2%B9%E2%81%B0%7D)
= 125
