Sand falling from a chute forms a conical pile whose height is always equal to 4 3 of the radius of the base. How fast is the volume changing when the radius of the base is 6 inches and increasing at a rate of 1 2 inches per minute? The volume of a cone is give

Is a positive integer raised to a negative power always positive

Ariana starts with 100 milligrams of a radioactive substance. the amount of the substance decreases by 20% each week for a number of weeks, w. the expression 100(1−0.2)w finds the amount of radioactive substance remaining after w weeks. which statement about this expression is true? a) it is the difference between the initial amount and the percent decrease. b) it is the difference between the initial amount and the decay factor after w weeks. c) it is the initial amount raised to the decay factor after w weeks. d) it is the product of the initial amount and the decay factor after w weeks.

X= 3y - 6 2x - 4y = 8 solve the system of equations using substitution. a) (-12,-2) b) (15,7) c) (21,9) d) (24,10)