Acomic series writer keeps a database of her superheroes, which contains the names
s={apocalypse, beyonder, captain america, darkhawk, electro, firebird, godzilla, hawkwoman}.
the following superheroes are the four most popular:
a={apocalypse, captain america, electro, godzilla}.
the following superheroes are featured in at least 20 of her comic series:
b={apocalypse, beyonder, captain america, darkhawk}.
the following superheroes have appeared in last yearâs comics:
c={apocalypse, captain america, darkhawk, electro, godzilla, hawkwoman}.
write the following subsets in terms of a, b, and c, and list the elements in the set:
a. the set of superheroes who are not among the four most popular but still appeared in last yearâs comics.
b. the set of superheroes who are either featured in less than 20 of her comic series, have not appeared in the last year, or are among the four most popular.

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 system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

answer: yard ramps with a level off platform are typically 36 feet long. truck, rather than at an angle, enabling access to those pallets at the very back of the truck. if you are using your yard ramp to convert a loading dock into a drive-in door, we even at 60 inches (5 feet) high and a 30 foot ramp, the slope of the ramp will be less

step-by-step explanation: