Acarbon nanotube is a thin cylinder of carbon atoms that, pound by pound, is stronger than steel and may one day be used in clothing. with a diameter of 6.0×10^-10 in., a fiber can be made 200yd long. find the volume of such a fiber.

100 yards * 36 = 3600 inches.  

3600*1.257*10^-19 = 4523.9*10^-19 or 4.523*10^-16in^3  

A cylinder volume is base times height, or an area of the circle times the other dimension. 4/2^2 is 4pi (12.57), and the yards have to be converted to inches. Check out my steps and see where you went wrong.

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.

saving = more money

step-by-step explanation:

if you have 100 bucks, and you want to buy a candy bar, even if you have one at home, if you choose not to buy it, you save.

~courtney