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Zinaida [17]
3 years ago
11

Evaluate the limit. lim n > [infinity] 9n^3 +5n - 2n/ 2n^3

Mathematics
1 answer:
expeople1 [14]3 years ago
7 0

Answer:

The value of the limit is \frac{9}{2}

Step-by-step explanation:

When we are working with limits in which the variable goes to infinity, we only take the highest order factor of the numerator and of the denominator.

So we have

$\lim_{t \to +\infty} \frac{9n^{3}}{2n^{3}}$

We can simplify the cubes.

$\lim_{t \to +\infty} \frac{9}{2}$

The limit of a constant is the proper constant.

So the value of the limit is \frac{9}{2}

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The total rainfall in forks , washington, october was 8 3/8 in. in september ,60% less rainfall fell in October
iren2701 [21]
Rainfall in October in Forks, Washington = 8 3/8 inches
                                                                 = 67/8 inches
Percentage of rainfall that has fallen less in September in Forks, Washington = 60%
Let us assume the amount of rainfall in September in Forks, Washington = x
Then
100x/60 = 67/8
10x/6 = 67/8
5x/3 = 67/8
5x * 8 = 67 * 3
40x = 201
x = 201/40
   = 5 1/40 inches
So the amount of rainfall in September in Washinton is 5 1/40 inches.

6 0
3 years ago
Determine if the following triangle is a right Triangle. Write your answer, claim, as a
Reptile [31]

Answer:

Step-by-step explanation:

Check if the lengths of the sides follows the Pythagorean theorem.

9² + 12² ≟ 15²

81 + 144 ≟ 225

225 = 225

Triangle ABC is a right triangle.

7 0
3 years ago
What is the area of the shape shown above
Mice21 [21]

Answer:

the area is 286

pls mark as brainlist

7 0
3 years ago
Read 2 more answers
(x,-4) and (2,8): m = -3 find the missing value. it is in slope formula.
Snezhnost [94]

Answer:

The value of x = 6

Step-by-step explanation:

Given

  • The point (x,-4)
  • The point (2,8)

To determine

  • m = -3

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

here:

  • (x₁, y₁) = (x, -4)
  • (x₂, y₂) = (2, 8)
  • m = -3

so substitute (x₁, y₁) = (x, -4) , (x₂, y₂) = (2, 8)  and m = -3

m =  [y₂ - y₁] /  [x₂ - x₁]

-3 =  [8 - (-4)] / [2 - x]

-3 = [12] / [2-x]  

-3 (2-x) = 12

-6+3x = 12

3x = 12+6

3x = 18

divide  both sides by 3

3x/3 = 18/3

x = 6

Therefore, the value of x = 6

7 0
3 years ago
Solve each inequality of -4x -2<8
FromTheMoon [43]
<span>-4x -2<8
Add 2 to both sides
-4x<10
Divide -4 on both sides
Final Answer: x > -10/4 or -2 1/2 *Both answers are equivalent to each other.
</span>
6 0
3 years ago
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