Calculating the limit as n goes to infinity, it is found that:
The sequence converges to 0.
------------------------------
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]
------------------------------
If the limit of f(n) as n goes to infinity is a value, it converges to this value.If the limit of f(n) as n goes to infinity is infinity, it diverges.------------------------------
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
Jessica thinks that she might have made a mistake on her tax return and paid more tax than she needed to. Complete the statements describing what Jessica can do.
Jessica can hire
to check her tax return. If a mistake is found, Jessica can file Form
to have the IRS correct the mistake and refund any excess taxes she paid.
Answer:
A certified accountant and can file 1040X
Step-by-step explanation:
please help me with this :)
What is the best way to gather information for each of the scenarios? Select Survey, Experiment, or Observational study for each scenario. Survey Experiment Observational study A director wants to know what his singers do before a performance. A director wants to know who his best soprano is. O A director wants to know how verbally disciplining a singer affects the group. A director wants to know what musical is the most popular in the community.
Answer:
1. A director wants to know what his singers do before a performance. - Survey
2. A director wants to know who his best soprano is. - Observational Study
3. A director wants to know how verbally disciplining a singer affects the group. - Observational Study
4. A director wants to know what musical is the most popular in the community. - Survey
Step-by-step explanation:
I just took the same quiz :)
On a ship the ratio of crew members to passengers is 1:15. There are 540 passengers. How many crew members are there?
Answer: 36
Step-by-step explanation: Keep multiplying 15 until you get 540. 36 * 15 is 540
Answer:
36 Crew members
Step-by-step explanation:
Divide 540 by 15, to find how much the new amount of passengers had increased. It should be 36.
Now to keep the ration even, you need to multiply the amount of Crew members by 36 too.
Double checking your answer:1/15=0.06666666667...
36/540=0.06666666667...
There's probably other ways to solve this, this is just how I did it.
Find the distance between point M and point G.
Answer:
6 pts
Step-by-step explanation:
from g to m in the English alphabet is 6 points so the answer is 6
The perimeter of the polygon is____ units.
Answer:3
7
−
3
6
–6
Step-by-step explanation:
what is 25% of 50 pls help
Answer:
12.5 is your answer buddy
Answer:
Step-by-step explanation:
So, lets think of this a simpler way.
What is 1/2 of 50?
Well, thats 25. That is 50%. We want 25%, which is 1/4 of 50.
So lets divide the 25 we got in half:
25/2
=
12.5
So this is your answer!
Hope this helps!
What are the terms in the expression 5y - 1 + 7?
꧁Hello, how are you?꧂
[tex]5y - 1 + 7 \\ + (7 - 1) \\ 6 \\ 5y + 6[/tex]
━━━━━ • ஜ • ❈ • ஜ • ━━━━━
Signed: Lohany Queen of hell 彡★
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What is the shape of the cross section perpendicular to the base of the cone
Answer:
The answer is a triangle.
Que es la desviación estándar?
You put $400 in a savings account. The account earns 7% simple interest per year.
a. What is the interest earned after 10 years?
b. What is the balance after 10 years?
Answer:
786.86 would have been earned after ten years.
After ten years the balance would be 1186.86
Step-by-step explanation:
First I put the numbers into the equation 400l(1+.07/1)^10 and solved it to get 786.86 then added that to the original amount getting the second part of the answer :)
The owner of a snow-cone stand used gallon of syrup to make 16 cherry snow cones. She used the same amount of syrup in each snow cone. How much syrup in gallons was used in each cherry snow cone?
A.1 gal
В.4 gal
C.1/64 gal
D.64 gal
it is the c.1/64 gal
hello and this is the answer 1/64 gal
Find the slope. Please reply if you can help
Answer:
1/1 because you go up 1 and over 1
Answer:
look at the picture i have sent
The domain (input values) of the sine function is:
O A. values between 0 and a radians,
O B. all real numbers.
O C. values less than 90%.
D. values less than 27 radians,
Answer:
The domain (input values) of the sine function is:
O B. all real numbers
The domain of the sine function will be all real number. Then the correct option is B.
What are domain and range?The domain means all the possible values of x and the range means all the possible values of y.
Simply put, trigonometric functions also referred to as cyclic capabilities the functions of a triangle's inclination.
Let the sine function be f(x) = sin x.
It is a function that repeats itself in a particular time interval.
The domain of the sine function will be all real number.
And the range of the sine function will be [1, –1].
Then the correct option is B.
The graph of the sine function is given below.
More about the domain and range link is given below.
https://brainly.com/question/12208715
#SPJ5
PLEASE HELP ME ON MY FIRST QUESTION!, SHOW WORK PLEASE!!
Answer:
Solution given:
radius [r]=2cm
height [h]=8cm
total surface area of cylinder=?
we have
total surface area of cylinder=2πr²+2πrh
2πr(r+h)2π*2(2+8)40π or 125.66cm²total surface area of cylinder40π or 125.66cm².
Find the surface area of the cylinder.
___________________Solution :-Given Information :-Radius of the Cylinder ➢ 2 cmHeight of the Cylinder ➢ 8 cm Value of π (pi) (not given) ➢ 3.14To Find :-Surface Area of the CylinderFormula Used :-Area of cylinder = 2πr( r + h ) Calculation :-Substituting the values given in the formula, We get,
⇒ Area of Cylinder = 2 × 3.14 × 2 ( 2 + 8 )
⇒ Area of cylinder = 2 × 3.14 × 2 ( 10 )
⇒ Area of cylinder = 2 × 3.14 × 20
Calculating further, We get,
⇒ Area of cylinder = 125.66 cm²
___________________Final Answer :- Area of cylinder = 125.66 cm²____________________help me find the equation of straight line (2,3)
Please help me with this homework
Answer:
Brainliest please
x is equals to 4 and y is equal to 1
Step-by-step explanation:
3x+3y=9
x-3y=7
elimination method has to do with eliminating one variable from the question to eliminate y we have to add the equations together which is 4x=16
X=4
substitute x is equal to 4 into any equation of your choice let's use equation 1
E
3(4)+3y=9
12+3y=9
12-9=3y
3=3y
divide both sides by 3 therefore y is equal to 1.
I Need help ASAP it is due today 5/26/21
Answer:
Step-by-step explanation:
[tex]9*8=72\\0.5*6*8=24\\10*9=90\\72+24+90=186 m^{2}[/tex]
what is the equation of this line
a. y = -3/2x+9
b. y = -2/3x+18
c. y = 2/3x+6
d. y = 3/2x+6
Answer:
A. y = -3/2x + 9
Step-by-step explanation:
In slope intercept form (y = mx + b), b represents the y-intercept. Therefore, simply look on the graph where the line intersects with the y-axis. In this case, that is all that was needed since we can clearly see that equation A is the only one with a y-intercept of 9.
Answer:
a
Step-by-step explanation:
any two points on the line are
(0,9 ) and (4,3)
slope=(3-9)/(4-0)=-6/4=-3/2
y intercept is 9
so eq. of line is y=-3/2x+9
Help Please I really Need it on a Timer
Answer:
its A
Step-by-step explanation:
what is the answer for a and b ?
Answer:
a. 3/10
b. 25 people
Step-by-step explanation:
a. 12/40
simplify
3/10
b. 40 people so multiply everything by 5
5 x 5 =25 people
Answer:
a) 30% & b) 25
Step-by-step explanation:
16+7+5+12 = 40
a) 12/40 = 0.3 = 3%
b) 5/40 = .125
200 x .125 = 25
Parallelogram with a measure of 74 find the value of X
Answer:
x = 74
Step-by-step explanation:
One of the properties of a parallelogram is that opposite angles are congruent. This means that the angle with a measure of (74) degrees and (x) degrees are the same, thus the following conclusion can be drawn,
x = 74
What is 4.33 rounded to the nearest whole number?
Answer:
the answer is 4 because i rounded down. since its 3
Step-by-step explanation:
GIVING AWAY 20 POINTS!!
HURRY PLEASE!!
QUESTION:
What is mBDG?
Answer:
242
Step-by-step explanation:
Circles have a total of 360°
mDBG does not include mBA or mGA
This means that mDBG = 360 - ( mBA + mGA )
mBA = 28° ( this is given )
mGA = 90° ( this is also given; it's indicated by the right angle )
Thus, mDBG = 360 - ( 28 + 90 )
28 + 90 = 118
mDBG = 360 - 118
360 - 118 = 242
Hence, mDBG = 242
Can someone HELP ME ON NUMBER 16 IM NOT SURE IM RIGHT!!!
Answer:
true im not sure tho but trust me
Step-by-step explanation:
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
44.1
Step-by-step explanation:
Cosine = Adjacent over Hypotenuse
Adjacent of ∠T = 28 and hypotenuse = 39
Which means that [tex]cos(x)=\frac{28}{39}[/tex]
Now we solve for x
To get rid of the "cos" we take the inverse of cos ( which is [tex]cos^-^1[/tex] ) and apply it to each side
[tex]cos^-^1((cos)x) = x\\cos^-^1(\frac{28}{39} )=44.11461855[/tex]
We're left with x = 44.11461855
Our last step is to round to the nearest tenth and we get that the answer is 44.1
PLEASE HELP ME ASAP
Complete the statement with a situation and a unit of your choice. Then answer the question and draw a diagram.
A small bucket holds 75% as much as a large bucket.
1. If the small holds 36 , how much does the large hold?
Answer:
???
Step-by-step explanation:
Answer:
48
Step-by-step explanation:
36 75%
---- = -----
? 100%
36 * 100 = 3600
3600 / 75 = 48
carpet cost $27 per square
yard. Use two unit multipliers to
find the cost per square foot
Answer:
5 dollars per foot
Step-by-step explanation:
at which value of x does the function have a jump discontinuity 50 Points !!!! dang I don't need answer file
Answer:
b
Step-by-step explanation:
there's 2 open point lying on x equals 0
solve in simplest form
15 3/5 - 3 2/7
Answer:
12 11/35
Step-by-step explanation:
Given Data
First term= 15 3/5
To simple fracrion= 78/5
Second term= 3 2/7
To simple fracrion= 23/7
Hence the operation goes thus
= 78/5- 23/7
LCM = 35
=546-115/35
=431/35
=12 11/35
Answer:
[tex] 12 \frac{11}{35} = \frac{431}{35} [/tex]
Step-by-step explanation:
[tex]15 \frac{3}{5} - 3 \frac{2}{7} \\ (15 - 3) + ( \frac{3}{5} - \frac{2}{7} ) \\ 12 + ( \frac{3}{5} - \frac{2}{7} ) \\ 12 + \frac{11}{35} [/tex]
[tex] \boxed{Answer:{\boxed{\green{= 12 \frac{11}{35} = \frac{431}{35}}}}} [/tex]