Amanufacturer produces bolts of a fabric with a fixed width. the quantity q of this fabric (measured in yards) that is sold is a function of the selling price p (in dollars per yard), so we can write q = f(p). then the total revenue earned with selling price p is r(p) = pf(p). (a) what does it mean to say that f(20) = 10,000? when the price of fabric is $20/yard, 10,000 yards will be sold. when the price of fabric is $425/yard, 20 yards will be sold. there are 425 total yards of fabric and $20 to spend on it. when the price of fabric is $20/yard, 425 yards will be sold. there are 10,000 total yards of fabric and $425 to spend on it. what does it mean to say that f '(20) = −425?

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step-by-step explanation:

step-by-step explanation:

a cube has 6 sides

the probability of getting 5 on the first cube is 1/6 since only one side of the cube has 5 on it.

there are 3 sides of the cube with even number on it [2,4,6]

therefore the probability of getting even number is 3/6

for both events to happen together, the probability would be

1/6 x 3/6 = 12/36

which simplifies to 1/12

a.) list the factors of 40.

1/2/4/5/8/10/20/40

b.) list the factors of 40 that represent the number of cans that could be on each shelf.

5

c.) how many different arrangements of cans are possible?

just one because if you put more on one shelf you will go way over 40 and the cabinet will probably break.

d.) what are the possible arrangements of the cans?

put 5 cans on each self to reach 40 cans in total.

e.) which arrangement uses all the shelves?

5 because you can put 5 cans on each shelf, and since there are 8 shelfs you are equally going to get 40 cans.