The nth term of a sequence is represented by [tex]\frac{ 2n^3+25n^2+32n-15}{6n^4+2n^3-11n^2-2n+17}[/tex]

What is the limit of the nth term as x becomes increasingly large?

A. 0
B. 1/3
C. 3
D. Limit does not exist.

Answers

Answer 1
I think that the possible answer is 3
Answer 2

Answer:

 A) 0

Explanation:

[tex]\sf \lim _{x\to \infty }\left(\dfrac{2n^3+25n^2+32n-15}{6n^4+2n^3-11n^2-2n+17}\right)[/tex]

1) Limit does not exist when the numerator is bigger.

2) Limit is zero when the denominator is bigger.

3) Limit is the ratio of coefficients when both powers are equal.

Here, the denominator have a power of 4, bigger than the numerator.

Hence, the limit of the nth term is 0.


Related Questions

B(3a,2b)
PLEASE HELP
a
E
What is the
coordinate for
midpoint E?
A(-3a,-2b) D(a,-2b)
C(5a,-2b)
A
B
C
(4a, 0)
(0,0)
(0,46)

Answers

Answer:

Step-by-step explanation:

The  coordinates of E(4a, 0).

What is mid point?

A midpoint is a point in the middle of the line connecting two points that lies between them. The midpoint is a point that lies in the middle of the line and is equidistant from the two points if a line is drawn to connect them.

The midpoint between two points whose coordinates are known to us can be found using the midpoint formula. If we know the coordinates of the other endpoint and the midpoint, we can also use the midpoint formula to determine the coordinates of the endpoint.

Given coordinates

A(-3a, -2b),  D(a, -2b), C(5a, -2b) and B(3a, 2b)

to find the coordinates of E,

and E is midpoint of B and C

for coordinates of midpoint is (x, y) = [(x₂ + x₁)/2, (y₂ + y₁)/2]

here B  = (3a, 2b) = (x₁, y₁)

and C = (5a, -2b) = (x₂, y₂)

x = (5a + 3a)/2 = 8a/2 = 4a

y = (-2b + 2b)/2 = 0/2 = 0

E(4a, 0)

Hence coordinates of E are (4a, 0).

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How do I do number 7 I wasn’t taught this

Answers

The perimeter of the polygon will be (2x + 2xy + y + xz). Then the correct option is D.

What is a polygon?

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

The figure is given below.

The sides of the polygon are given as x, y, xz, x, xy, and xy.

Then the perimeter of the polygon will be

The perimeter of the polygon is given as the sum of all the sides of the polygon.

Then the perimeter will be

P = x + y + xz + x + xy + xy

P = 2x + y + 2xy + xz

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(b) 1-5 P
W
I=0+90/1
081=1+0S..
65°
f
O
32°
(c)
POE
R

Answers

Answer:

83°

Step-by-step explanation:

w+32+65=180 [being the sum of triangle]

w=180-97=83°

I WILL MARK BRAINLIEST

Answers

First one is : D (6)
Second one is : B (1/3)

Hope this helps!
Please give Brainliest!

3. Find the standard form of the equation of the parabola with a vertex at the origin and a focus at (0-4).

Answers

Step-by-step explanation:

y=5(x+1/5)² -36/5

y=5(x+1/5)² -36/5

In a circle, the length of an an arc intercepted by a central angle is 12mm, and the radius of the circle is a 8 mm. What is the measure, in radians, of the angle?

Answers

[tex]\textit{arc's length}\\\\ s = r\theta ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ s=12\\ r=8 \end{cases}\implies 12=8\theta \implies \cfrac{12}{8}=\theta \implies \cfrac{3}{2}=\theta[/tex]

PLS HELP ME ASAP I WiLL MARK THE BRAINLIEST

Answers

Answer:

1400 is the volume and the surface area 980

Step-by-step explanation:

A company needs a faster computer to enhance its e-business capabilities. the computer can be purchased for $1890 or rented for $900 plus $90 per month. what is the maximum number of months the computer could be kept so that it is cheaper to rent than to buy?

Answers

The maximum number of months the computer could be kept so that it is cheaper to rent than to buy is 10 months.

What is the maximum number of months?

The first step is to determine the month in which the two options would have the same cost. The equation that can be used to determine this value is:

$1890 = $900 + 90t

90t = 1890 - 900

90t = 990

t = 990 / 90

t  = 11 months

The maximum number of months = 11 months - 1 = 10 months

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interpret (1,15)

interpret (4,60)

Answers

Interpreting (1,15) with (4,60), found that (4,60) is 4 times of the coordinate (1,15).

What are coordinates?

A pair of numbers that describe the position of a point on a coordinate plane by using the horizontal and vertical distances from the two reference axes.

For interpreting we have to find the relation between (1,15) and (4,60)

We have, (1,15)

For x- coordinate 1, y- coordinate will be 15

Now,

let us take x- coordinate=2 then y- coordinate =30

again, if x-coordinate = 3 then y-coordinate  = 45

lastly, if the x-coordinate =4 then y-coordinate = 60

That means (4,60) is the 4 times of the coordinate (1,15) i.e., the x-coordinate is 4 times as well as the y- coordinate is 4 times.

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40 Points!!!
What are the domain and the range of this function?

Answers

Answer: The domain of a function is the set of values that we are allowed to plug into our function.

Step-by-step explanation:

D:-5 ≤ x < 1
R:-4 ≤ y < 7
That is the domain and rang

solve the system of equatioins 2x+3y=40 and -2x+2y=20

Answers

Answer:

x = 2 ; y = 12

Step-by-step explanation:

2x + 3y = 40

+ -2x +2y = 20

You solve for one of the variables by cancelling out one and making one the subject.

2x + 3y = 40.

+ -2x +2y = 20

5y = 60

5y/5 = 60/5

y = 12

Next, you solve for X by replacing the value of y in any of the equations.

2x + 3y = 40

2x + 3(12) = 40

2x + 36 = 40

2x = 40 - 36

2x = 4

2x/2 = 4/2

x = 2

To prove the equations are set, replace the values of X and Y in one of the equations.

2x + 3y = 40

2(2) + 3(12) = 40

4 + 36 = 40

40 = 40

What is the amplitude of the function graphed below?

Answers

Answer:

I believe one is the answer your looking for

Step-by-step explanation:

PLEASE HELP WILL MARK BRAINLIEST NO LINKS

The coordinates of parallelogram UVWZ are U(a, 0), W(c-a, b), and Z(c,0). Find the coordinates of V without using any new variables

A• (0, b)
B• (c, b)
C• (a, b)
D• (b, 0)

Answers

Answer: Choice A.

(0, b)

==================================================

Explanation:

Pick any random 3 numbers you want for a,b,c.

a = 1b = 2c = 3

The points U, W and Z become

U = (a,0) = (1,0)W = (c-a, b) = (3-1, 2) = (2,2)Z = (c, 0) = (3, 0)

Or in short,

U = (1,0)W = (2,2)Z = (3, 0)

Plot each of those points on the same xy grid.

Next, using a different color, plot each of the answer choices.

A is at (0,b) = (0, 2)B is at (c,b) = (3,2)C is at (a,b) = (1,2)D is at (b,0) = (2,0)

You should find that point A helps form a parallelogram, while the other answer choices don't lead to a parallelogram.

See the screenshot below. I used GeoGebra to make the diagram. Desmos is another useful tool as well.

brainly won’t let me ask a question unless I answer one but I honestly don’t know and why do I pay for this if I can’t even ask questions

i need the answer to this question ASAP

Answers

Answer:

b

Step-by-step explanation:

because when u multiply the number that is outside of the bracket with the number inside the bracket it suppose to equal to the equation bk .....so b is the answer

Find the area of the region which is inside the polar curve r=5sin(θ) but outside r=4. Round your answer to four decimal places

Answers

The area of the region which is inside the polar curve r = 5 sinθ but outside r = 4 will be 3.75 square units.

What is an area bounded by the curve?

When the two curves intersect then they bound the region is known as the area bounded by the curve.

The area of the region which is inside the polar curve r = 5 sinθ but outside r = 4 will be

Then the intersection point will be given as

[tex]\rm 5 \sin \theta = 4\\\\\theta = 0.927 , 2.214[/tex]

Then by the integration, we have

[tex]\rightarrow \dfrac{1}{2} \times \int _{0.927}^{2.214}[ (5 \sin \theta)^2 - 4^2] d\theta \\\\\\\rightarrow \dfrac{1}{2} \times \int _{0.927}^{2.214} [25\sin ^2 \theta - 16] d\theta \\\\\\\rightarrow \dfrac{1}{2} \times \int _{0.927}^{2.214} [ \dfrac{25}{2}(1 - \cos 2\theta ) - 16] d\theta \\[/tex]

[tex]\rightarrow \dfrac{1}{2} [\dfrac{25 \theta }{5} - \dfrac{25 \cos 2\theta }{2} - 16\theta]_{0.927}^{2.214} \\\\\\\rightarrow \dfrac{1}{2} [\dfrac{25(2.214 - 0.927) }{5} - \dfrac{25 (\cos 2\times 2.214 - \cos 2\times 0.927) }{2} - 16(2.214 - 0.927]\\[/tex]

On solving, we have

[tex]\rightarrow \dfrac{1}{2} \times 7.499\\\\\rightarrow 3.75[/tex]

Thus, the area of the region is 3.75 square units.

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is this a quadratic function 2x+13=13

Answers

Answer:

Step-by-step explanation:

Simplifying

2x + 13 = 0

Reorder the terms:

13 + 2x = 0

Solving

13 + 2x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-13' to each side of the equation.

13 + -13 + 2x = 0 + -13

Combine like terms: 13 + -13 = 0

0 + 2x = 0 + -13

2x = 0 + -13

Combine like terms: 0 + -13 = -13

2x = -13

Divide each side by '2'.

x = -6.5

Simplifying

x = -6.5

helpppp which expression is equivalent to

Answers

The equivalent expression of the provided expression g²h√(5g) is √(5g⁵h²). Then the correct option is B.

What is an equivalent expression?

The equivalent is the expressions that are in different forms but are equal to the same value.

The expression is given below.

→ g²h√(5g)

Then the function can be written as

→ √(5g⁵h²)

Then the equivalent expression of the provided expression g²h√(5g) is √(5g⁵h²).

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1.
mr. reed received a loan for 3500.00, the loan is for 2 years at 6.75% interest rate, how
much interest will mr. reed have to pay? (calculate using simple interest and
compound interest).

Answers

Answer:

3500,00 (2 multiply by 6,75%)

3500,00 (2 multiply by 6,75 divide by 100)

3500,00 ( 2 multiply by 0,0675)

3500,00 multiply by 0,135

= R472,50

Could someone please answer the following question?

Answers

Answer:

See below

Step-by-step explanation:

4 sin^2 -1 =0

sin^2 = 1/4          Take sqrt of both sides

sin = ± 1/2       < ===== this is likely where he went wrong (forgot + - )

 answer:  pi/6    5pi/6    7 pi/6     11pi/6

Why would the volumes of the two figures be the same?

Answers

i believe it’s when the shapes are similar, which means they have the same ratio of lengths

there are 15 groups with 90 sixth graders and 60 seventh graders how many students are in each group

Answers

Answer: 10 students in each group

Step-by-step explanation: Add 90 + 60 which is 150

Divide 150 by 15 to find out the amount of students in each group.

150 divided by 15 is 10.

I can't solve it, so, here goes nothin'. "Some people are on a train, 19 people get off at one stop, then, the next one 13. Now there are only 63 people on board. But 4 get off and 10 get on. What's the answer?"

Answers

19+13=32

32+63=95

95-4=91

91+10=101

This means that 101 people are now on the bus.

HOPE THIS HELPS <3

Hi! Could I get some help with finding the perimeter of Triangle PMN, please? No need to solve the other question that one has already been answered. Thank you!

Answers

Answer:

55

Step-by-step explanation:

ΔVMW ~ ΔPMN, because as their bases are parallel, it means their angles are equal.

===============================================================

Finding the scale factor :

⇒ VW : PN

⇒ 6 : 15

⇒ 2 : 5

==============================================================

Finding WN :

⇒ MW : WN = 2 : 5

⇒ 8 : WN = 2 : 5

⇒ 8/WN = 2/5

⇒ WN = 8/2 × 5

⇒ WN = 20

=============================================================

Perimeter of ΔPMN :

⇒ Perimeter = MP + PN + MW + WN

⇒ Perimeter = 12 + 15 + 8 + 20

⇒ Perimeter = 27 + 28

⇒ Perimeter = 55

Whats the definition of PI

Answers

Answer:

is the ratio of the circumference of any circle to the diameter of that circle.

Step-by-step explanation:

X
FIRST CORRECT ANSWER WILL BE MARKED BRAINLIEST PLSPLSPLS HELP ME.
MODELING REAL LIFE A green roof is like a traditional roof but covered with plants. Plants used for a green roof cost $0.75
per square foot. The roof shown is 40 feet long. How much does it cost to cover both sides of the roof?
8 ft
15f15 ft
It costs $
Justify your answer

Answers

The area of the rectangular roof (both sides of the roof) = 1,360 ft²

Cost to cover both sides = $1,020

What is the Area of a Rectangle?

The area of a rectangle = (length)(width)

Length of one side of the roof = 40 ftWidth of one side of the roof = √(15² + 8²) = 17

Area of both sides of the roof = 2(area of rectangle) = 2(40×17) = 1,360 ft²

Cost to cover both sides = 1,360 × 0.75 = $1,020

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What are the factors of 6x2 37x−60? 3x−4 and 2x 15 3x 4 and 2x−15 2(x−2) and 3(x 5) 2(x 2) and 3(x−5)

Answers

The factors of the given quadratic expression are (3x+4) and (2x-15)

Factorizing a quadratic expression

From the question, we are to determine the factors of 6x²+37x-60

The given quadratic expression can be factored as shown below

6x² + 37x -60

This becomes

6x² -45x + 8x -60

3x(2x-15) +4(2x-15)

Then,

(3x+4)(2x-15)

Hence, the factors of the given quadratic expression are (3x+4) and (2x-15). The correct option is the second option (3x+4) and (2x-15)

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Answer:

(3x+4) and (2x-15)

Step-by-step explanation:

please help me I will give brainliest to correct answer ​

Answers

Between a and c most likely c

What is the reference angle for a 240° angle? 30° 60° 180° 270° Mark this and return

Answers

The reference angle for a 240° angle is 60°

How to calculate reference angles

A reference angle is the angel that is found on the first quadrant of a a circle.

The angle that is being measured is in the third quadrant of a circle, we will subtract 180° from the given angle.

Therefore, the reference angle for a 240° is =

240-180= 60°

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20Lexi is hiking a trail that is 7.5 miles long. She stops to take a break after hiking 3.8 miles of the trail. Which equation can be used to find how many miles, m, Lexi has left to hike?

Answers

Answer:

7.5 - 3.8 = m

Step-by-step explanation:

What is the length of ? round to the nearest tenth. 11.8 cm 12.9 cm 14.9 cm 15.3 cm

Answers

Answer:

1) 11.10cm

2)12.10cm

3)14.10cm

4) 15cm

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