Me
the batting wang xiu ying uses to fill quilts has a thermal conductivity rate of 0.030.030.030, point, 03 watts (w)(\text{w})(w)left parenthesis, start text, w, end text, right parenthesis per meter (m)(\text{m})(m)left parenthesis, start text, m, end text, right parenthesis per degree celsius (∘c)(^\circ\text{c})(∘c)left parenthesis, degrees, start text, c, end text, right parenthesis.
what is the batting's thermal conductivity value in wcm⋅∘c\dfrac{\text{w}}{\text{cm}\cd ot^\circ\text{c}}cm⋅∘cwstart fraction, start text, w, end text, divided by, start text, c, m, end text, dot, degrees, start text, c, end text, end fraction?

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.

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.