Arectangle initially has dimensions 3 cm by 6 cm. all sides begin increasing in length at a rate of 3 cm divided by s 3 cm/s. at what rate is the area of the rectangle increasing after 21 s?

  405 cm²/s

Step-by-step explanation:

The dimensions are increasing at the rate of 3 cm/s, so the dimensions in cm can be described as a function of time by ...

  3 + 3t

and

  6 + 3t

Then the area is the product of these, or ...

  A = (3 +3t)(6 +3t)

  A = 9t² +27t +18

and the rate of change of area is given by its derivative with respect to t:

  A' = 18t +27

When t=21, the value of this is ...

  A'(21) = 18·21 +27 = 405 . . . . cm²/s

this shows a reflection over the x-axis and is translated one unit down and 6 units to the right (x + 6, y - 1)

hope this !

~just a girl in love with shawn mendes

0.0076, if you meant 4.125 divided by 0.03125 it would be 132

step-by-step explanation:

first you have to move the decimal in 0.03125 over until its behind the 5 which is 5 places over. now the number is 3125

then you have to move the decimal in 4.125, 5 places over. now the number is 4,112,500.

now you divide like you would normally would and get 0.0076