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matrenka [14]
3 years ago
10

Evaluate the limit 12n^3 - 2n^2 + 9 / 4n^3

Mathematics
1 answer:
geniusboy [140]3 years ago
7 0

Answer:

3

Step-by-step explanation:

Evaluate the limit n - > ∞ 12n^3 - 2n^2 + 9 / 4n^3

Divide the expression by the highest power of n to have

limit n - > ∞ 12n³/n³ - 2n²/n³ + 9/n³ / 4n³/n³

= limit n -  > ∞12 - 2/n + 9/n³ / 4

Substitute the value of n

= 12 - 2/∞ + 9/∞³ / 4

Since a/∞ = 0

The expression becomes;

= 12 - 0+ 0/4

= 12/4

= 3

Hence the required limit is 3

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USPshnik [31]
If u subtract 6-9 u would get a -3 because the 9 is bigger than the 6 so thats how you get a -3.
3 0
3 years ago
What is the final amount of 777 is decreased by 12% followed by a 4% increase? Give your answer rounded to 2dp.
julia-pushkina [17]

Answer:

711.11

Step-by-step explanation:

<h3>Method 1 </h3>

If 777  is decreased by 12%. the number would now be (100% - 12%) 88% of what it was originally

0.88 x 777 = 683.76

683.76 is increased by 4%.  683.76 would now be (100 + 4%) 104% of what it originally was

683.76 x 1.04 = 711.11

<h3>Method 2 </h3>

12% x 777 =

0.12 x 777 = 93.24

777 - 93.24 = 683.76

4% x 683.76 = 27.3504

683.76 + 27.3504 = 711.11

5 0
3 years ago
The product of two irrational numbers is. Rational
Snowcat [4.5K]

Answer:

So the statement:

"The product of two irrational numbers is rational." is false.

Step-by-step explanation:

The product of two irrationals can be irrational or rational.

Example:

\sqrt{2} \cdot \sqrt{2}=2

\sqrt{2} is irrational but when you multiply it to itself the output is rational.

Example:

\sqrt{2} \cdot \sqrt{3}=\sqrt{6}

\sqrt{2} \text{ and } \sqrt{3} are irrational and when you multiply them you get an irrational answer of \sqrt{6}.

So the statement:

"The product of two irrational numbers is rational." is false.

5 0
3 years ago
A rectangular prism with a volume of 101010 cubic units is filled with cubes with side lengths of \dfrac12
lawyer [7]
Given that the volume of the prism is given by:
10 cubic units and the the side length of cubes to fill the prism is 1/2 units. Then the number of cubes required to fill the prism will be given by:
(volume of rectangular prism)/(volume of cube)
but
volume of cube is:
volume=length*width*height
volume=1/2×1/2×1/2=1/8 cubic units
thus the number of cubes required to fill the prism will be:
10/(1/8)
=10×8/1
=80 cube
Answer: 80 cubes
4 0
3 years ago
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jonny [76]

Answer:

1. (0,5) (16,21) (20,25) (36,41) (55,60)

Step-by-step explanation:

Hope this helped you!! Give brainliest

4 0
3 years ago
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