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Margaret [11]
3 years ago
9

Changing Volume If each edge of a cube is increasing at the constant rate of 3 centimeters per second, how fast is the volume in

creasing when x, the length of an edge, is 10 centimeters long?
Mathematics
1 answer:
timofeeve [1]3 years ago
4 0
Calculus! First one I've seen here! Take the derivative of the volume of a cube. Volume is V = s^3, dV = 3s^2 ds when s = 10 and ds = 3.  I think you used x. Anyway, in the derivative fill in the s with a 10 and the ds (rate of change) is 3. So dV = 3(10)^2 * 3
     dV = 600 cm per second
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The decimal forms of some real numbers, like( 3/16), terminate, while the decimal forms of other real numbers, like(4 2/11 ), do not terminate, but have a repeating pattern. Still, other real numbers, like(5 squared ), have decimal forms that neither terminate nor repeat.

Step-by-step explanation:

1. The decimal forms of some real numbers, like( ), terminate

A number is terminating if it has decimal with finite number

So, \frac{3}{16}= 0.1875 as decimal stops after 4 digits so it is terminating.

2.  the decimal forms of other real numbers, like( ), do not terminate, but have a repeating pattern.

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So, 4 \frac{2}{11} =\frac{44}{11}=4.1818181

3. have decimal forms that neither terminate nor repeat

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So, answers will be:

The decimal forms of some real numbers, like( 3/16), terminate, while the decimal forms of other real numbers, like(4 2/11 ), do not terminate, but have a repeating pattern. Still, other real numbers, like(5 squared ), have decimal forms that neither terminate nor repeat.

Keywords: Decimals

Learn more about decimals at:

  • brainly.com/question/10941043
  • brainly.com/question/4390083

#learnwithBrainly

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