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3 years ago

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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What is 117.5% as a decimal

trasher [3.6K]

Move the decimal 2 places to the right to get 1.175.

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4 years ago

In the rectangle below, SU= 4x-2, RT = 5x-10, and m ZSVT= 84º.

stepladder [879]

Answer:

RV = 15, ∠ VUR = 48°

Step-by-step explanation:

The diagonals of a rectangle are congruent , so

RT = SU , that is

5x - 10 = 4x - 2 ( subtract 4x from both sides )

x - 10 = - 2 ( add 10 to both sides )

x = 8

Then

RT = 5x - 10 = 5(8) - 10 = 40 - 10 = 30

The diagonals bisect each other , then

RV = 0.5 × 30 = 15

---------------------------------------------------------------

∠ RVU = ∠ svt = 84° ( vertical angles )

RV = UV ( diagonals are congruent and bisect each other )

Then Δ RVU is isosceles with base angles congruent , then

∠ VUR = $\frac{180-84}{2}$ = $\frac{96}{2}$ = 48°

3 0

3 years ago

Which angle bisector was created by following the construction steps correctly? How do you know?

Romashka-Z-Leto [24]

Answer:

Here we have the angle with a vertex B

Where B is the vertex of this triangle.

The steps to construct the bisector is:

Put the tip of the compass in the vertex, and draw a curve that intersects both rays of the triangle, the points where the curve intersects the rays of the angle will be called A and C.

Now, with the radius in the compass fixed, place the point in the compass on point A and draw a curve.

Then do the same in point C.

The point where both lines intersect, D, will define the bisector of the angle.

Then the correct option is the second image.

The problem of the first image is that the first step is done wrong because the points A and C were created with different radius in the compass. Then the distance between A and B is different than the distance between B and C.

4 0

3 years ago

Tennis balls are sealed in a pressurized container to maintain the rebound percentage

Darina [25.2K]

Answer:

Rounding the results to the next hundredth, we have:

Bounce 1: 2 * 0.55 = 1.10 meters

Bounce 2: 1.10 * 0.55 = 0.61 meters

Bounce 3: 0.61 * 0.55 = 0.34 meters

Bounce 4: 0.34 * 0.55 = 0.19 meters

Bounce 5: 0.19 * 0.55 = 0.10 meters

Bounce 6: 0.10 * 0.55 = 0.06 meters

Bounce 7: 0.06 * 0.55 = 0.03 meters

Step-by-step explanation:

Rebound percentage = 55% = 0.55

Bounce 1: 2 * 0.55 = 1.10 meters

Bounce 2: 1.10 * 0.55 = 0.605 meters

Bounce 3: 0.605 * 0.55 = 0.33275 meters

Bounce 4: 0.33275 * 0.55 = 0.1830125 meters

Bounce 5: 0.1830125 * 0.55 = 0.10065688 meters

Bounce 6: 0.10065688 * 0.55 = 0.05536128 meters

Bounce 7: 0.05536128 * 0.55 = 0.0304487 meters

Rounding the results to the next hundredth, we have:

Bounce 1: 2 * 0.55 = 1.10 meters

Bounce 2: 1.10 * 0.55 = 0.61 meters

Bounce 3: 0.61 * 0.55 = 0.34 meters

Bounce 4: 0.34 * 0.55 = 0.19 meters

Bounce 5: 0.19 * 0.55 = 0.10 meters

Bounce 6: 0.10 * 0.55 = 0.06 meters

Bounce 7: 0.06 * 0.55 = 0.03 meters

3 0

4 years ago

A prong horn runs 59 miles per hour, what is the speed in feet per second,to the nearest whole number

jeyben [28]

Step-by-step explanation:

59 mi/hr × (5280 ft/mi) × (1 hr / 3600 s) = 86.53 ft/s

Rounded to the nearest whole number, the speed is approximately 87 ft/s.

6 0

4 years ago