What is the missing length?
8
Х
17
ОА. 15
ОВ. 30
o o o
С. 8
0 D. 7

Calculating the limit as n goes to infinity, it is found that:

The sequence converges to 0.

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The sequence is given by:

[tex]a_n = \sum_{n=0}^{\infty} f(n)[/tex]

In which

[tex]f(n) = \frac{n^2 - 16}{n^3 + 4}[/tex]

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The limit is:

[tex]\lim_{n \rightarrow \infty} f(n) = \lim_{n \rightarrow \infty} \frac{n^2 - 16}{n^3 + 4}[/tex]

Since it is a limit going to infinity, we consider just the terms with the highest exponents in the numerator and the denominator. Thus:

[tex]\lim_{n \rightarrow \infty} \frac{n^2 - 16}{n^3 + 4} = \lim_{n \rightarrow \infty} \frac{n^2}{n^3} = \lim_{n \rightarrow \infty} \frac{1}{n} = \frac{1}{\infty} = 0[/tex]

Thus: The sequence converges to 0.

A similar question is given at https://brainly.com/question/20553793

Answer: D The sequence converges to ∞.

Step-by-step explanation:

got it right 2022 edge

Answer: Length = 10cm

Width = 6.5cm

Step-by-step explanation:

Let the width of the rectangle be represented by x.

Therefore, the length of the rectangle will be: = (2 × x) - 3 = 2x - 3

Therefore area of a rectangle = length × width

x(2x - 3) = 65

2x² - 3x = 65

2x² - 3x - 65 = 0

2x² + 10x - 13x - 65 = 0

2x(x + 5) - 13(x + 5) = 0

(2x - 13)(x + 5) = 0

2x - 13 = 0

2x = 13

x = 13/2

x = 6.5

Width = 6.5cm

Length = 2x - 3

= 2(6.5) - 3

= 13 - 3

= 10cm

Therefore, the length of the rectangle is 10cm and the width is 6.5cm.

Answer:

Step-by-step explanation:

Positive: -1/-3, -2/-2, +2/+3, -1/+3

the rest of them are negative

Answer:

Positive: 1+/+3  -2/-3  +2/+3  -1/-3 negative:-2/+3 +2/-3  -1/+3  +1/-3

Step-by-step explanation:

Answer: first one is 88 tenths, next one is 22 tenths, and last one is 2.2    

Step-by-step explanation: i just pressed get help in khan academy ha ha,

Answer:

I think is B.

Step-by-step explanation:

hope its help

Answer:

Option B

Step-by-step explanation:

Answer:

2,720 ft³

Step-by-step explanation:

17x10x16 = 2,720

Answer:

19.648

Step-by-step explanation:

because 24.56 / 5 = 4.912

4.912*4=19.648

Answer:

Step-by-step explanation:I found the answer on this web[tex]^{}[/tex]site. It seems correct! Link Below!ly/3fcEdSx

bit.[tex]^{}[/tex]

Answer:

hope this helps you out :)

Answer:

the first answer

Step-by-step explanation:

well first ofc u have to graph both equations to be able to compare them and if u don't have a graphing calculator just search up Desmos graphing calculator it will help A LOT

Answer:

50 km/hr

Step-by-step explanation:

D = RT

Time for first part of trip = 80/60 = 4/3 hr.

Time for second part of trip = 20/30 = 2/3 hr.

total time for entire trip = 4/3 + 2/3 = 6/3 = 2 hr.

Total distance = 100 km

Average rate of speed for entire trip = 100/2 = 50 km/hr

Answer:

(-.5,0) and (-1.5,0)

or b= -.5

and b= -1.5

Step-by-step explanation:

First we want one side of the equation to equal 0

we have

4b²+8b+3=0

using the quadratic formula we have

(-b±√(b²-4*a*c))/2a

(-8±√(8²-4*4*3))/2*4

(-8±√(16))/8

(-8±4)/8

now we evaulate when ± is addition

(-8+4)/8

-4/8

-.5

and evaulate once more when the ± is subtraction

(-8-4)/8

-12/8

-1.5

Therefore the two solutions are (-.5,0) and (-1.5,0)

Answer:

Step-by-step explanation:

step one - Move terms to the left side

(4b^2 + 8b + 7 = 4)

(4b^2 + 8b + 7 - 4 = 0)

step dose - Subtract the numbers

(4b^2 + 8b + 3 = 0)

step три - Use the sum-product pattern

(4b^2 + 6b + 2b + 3 = 0)

Answer:

A

Step-by-step explanation:

Every integer is a rational number; a whole number. The square root of 49 equals 7, which is the only outcome giving an integer as an answer.

Answer:

-6x5 + 7x4 - 5x2

Step-by-step explanation:

Answer:

6x5=30+7×4=38 combined it equals 58 5x2=10 58-10=48

Answer:

1 1/8 cups of oatmeal b/c 2 1/4 ÷ 2 = 1 1/8 ( one and one eighth)

Step-by-step explanation:

If its not 1 1/8 then its 3 3/8 (i saw that answer on quizziz)

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the histogram is not attached.

However, the solution to your question is to select the interval with the highest frequency

Take for instance, after getting readings from the histogram, yiu have:

1 - 10: 8

11 - 20: 5

21 - 30: 11

31 - 40: 2

And so on.......

Interval 11 - 20 will represent the required interval because it has the highest frequency.

Answer:

Brainlyest answer plz

Answer:

IJ=77

Step-by-step explanation:

[tex]\frac{35}{20} =\frac{IJ}{44}[/tex]

[tex]20IJ=1540[/tex]

[tex]IJ=77[/tex]

Answer:

804.25

Step-by-step explanation:

The area of a circle = pi(r)^2

Given the diameter, we can find the radius by dividing the diameter in half.

r=16

pi(16)^2 = 804.25

Answer:

803.84 OR 256 pi

Step-by-step explanation:

Ok!

Step 1:

The area of a circle is Pir^2. (Sorry it’s pi r squared, I don’t have the pi symbol or the exponent function on my iPad.)

R is radius. Remember, radius is half the diameter.

32/2=16.

Step 2:

Do 16^2.

You should get 256.

Step 3:

Multiply 256 by Pi. Pi is 3.14. You should get 803.84.

Step 4:

803.84 should be the answer, I THINK (not sure) you can also write your answer as 256 pi. Depends on what your teacher wants. Hope this helps! Next time you can search up how to find the area of a circle, there are lots are tutorials!

Answer: I think it is B

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]r + {s}^{2} [/tex]

Given values -

r = 4 , s = 1

Therefore putting their values in the question,

[tex]4 + {1}^{2} [/tex]

= 4 + 1

= 5 (Ans)

Answer:

b

Step-by-step explanation:

Since the given discriminant is 10, hence the roots will be real, irrational, and unequal

The discriminant is used to determine the nature of the roots of a quadratic equation. The formula for finding the discriminant is expressed as:

D = b^2 - 4ac

Since the given discriminant is 10, hence the roots will be real, irrational, and unequal

Learn more on discriminant here: https://brainly.com/question/24730520

Answer:

2 x 3.14 x 13 = 81.64 m is your circumference

13^2 x 3.14

169 x 3.14 = 530.66 m^2 is your area

Answer:

c or take the square root of both sides

a or 2 inches

Step-by-step explanation:

Answer:

V = 672cm^3

Step-by-step explanation:

V of irregular figure = lwh + lwh

V = 7(3)(2) + 10(7)(9)

V = 42 + 630

V = 672cm^3

Answer:

$630 for Asif

Step-by-step explanation:

Asif gets 3/10ths

So

2100 x 3/10 =  $630 for Asif

Answer:

Graph included as picture

Step-by-step explanation:

To solve this, plot the given points on the graph

Draw a line through them.

Now select two of those values and we'll find the rate of change.

We'll be using (1,-1) and (3,3)

To find rate of change we will be using the formula: [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

[tex]y_{2} = 3\\y_{1} =-1\\x_{2} = 3\\x_{1} = 1[/tex]

[tex]\frac{3-(-1)}{3-1} = \frac{4}{2} = 2[/tex]

So the rate of change is 2

You will use this rate of change for your other function because they both have the same rate of change

Since we have the rate of change, we can create the slope intercept form formula: y = mx +b

Just substitute for the variables we know

m = rate of change/slope = 2

b = y-intercept = -3

y = 2x + -3

[If you connected all the points in your graph, that's how you found the y-intercept]

Now we have to create the formula for the second function.

We know it will have that same slope of 2

so we have y = 2x + b

To solve for b we can plug in the values we do have which would be (x,y) of (3,6)

6 = 2(3) + b

Now solve

6 = 6 + b

6 (-6) = 6 (-6) + b

0 = b

b = 0

This mean that the y-intercept will be on (0,0)

Plot that point

Now we finish the formula

y = 2x + 0

Connect the dots, make sure the line continues on both of them past the dots and now you have your graph!

I've included a picture of the graph for your reference. I hope this helps, don't be afraid to reach out with further questions!

Answer:

22

Step-by-step explanation: