Which statement describes the sequence defined by an
n3 +3?
n2-60
O The sequence diverges.
O The sequence converges to a limit of 0.
O The sequence converges to a limit of infinity
O The sequence converges to a limit of - infinity
Answers
Answer:
C
Step-by-step explanation:
To find the statement that describes the sequence, we find it's limit as n goes to infinity.
Doing this, as we get that the limit goes to infinity, we get that the sequence diverges.
Sequence:
[tex]a_n = \frac{n^3 + 3n}{n^2 - 6n}[/tex]
Limit as n goes to infinity:
Limit of n going to infinity, so we consider just the terms with the highest exponent in the numerator and in the denominator.
[tex]\lim_{n \rightarrow \infty} a_n = \lim_{n \rightarrow \infty} \frac{n^3 + 3n}{n^2 - 6n} = \lim_{n \rightarrow \infty} \frac{n^3}{3n^2} = \lim_{n \rightarrow \infty} \frac{n}{3} = \frac{\infty}{3} = \infty[/tex]
Thus, the correct answer is that the sequence diverges.
For more on limits going to infinity, you can check https://brainly.com/question/23335924
Related Questions
A rectangular prism has a volume of 60 cubic centimeters. The height of the prism is 3 centimeters. What is the area of the base? (Answer numerically only. Units have been provided) (PICTURE DOWN BELOW).
_____ square centimeters
Answers
Answer:
Area = 20 square centimeters
Step-by-step explanation:
V = lwh
V = lw3
V = 4x5x3
V = 60
A = lw
A = 4x5
A = 20
solutions to 2-variable equations y=-2x-5
Answers
Answer:(1, -3).
Step-by-step explanation:
If y=2x-5 is equation (1) and 4x-y=7 is equation (2), then substitute equation (1) in equation (2):
4x - (2x - 5) = 7
4x - 2x + 5 = 7
2x = 7-5
2x = 2
x = 1
Now substitute the value of x in equation (1) to find the value of y:
y = 2 (1) - 5
y = 2 - 5
y = -3
A map is drawn to scale such that 1 inch equals 100 miles. To mark a distance of 500 miles, the length on the map must be_____ inches.
Answers
Answer:
5 inches
Step-by-step explanation:
its simple
1in-100m
500m= 100m x 5
so multiply five to the other side
1in x 5=5 in
5in-500m
Answer:
5 inches
Step-by-step explanation:
100 miles = 1 inch
500 miles = 500/100 * 1 = 5 inches
you're welcome....
A shop has this offer.
£5 reduction if you spend more than £80
or
£10 reduction if you spend more than £130
At the shop, dresses cost
£37 each.
Sue buys 3 dresses
Ann buys 5 dresses
or
£20 reduction if you spend more than £180
How much more than Sue does Ann pay?
Your final line should say, Ann pays £... more
Answers
Answer:
£59
Step-by-step explanation:
3×37=111 111-5=106
5×36=185 185-20=165
165-106=59
Three times the smaller of two consecutive even integers increased by the larger integer i’d at least 26
Is 4 a solution to the inequality?
Is 6 a solution to the inequality?
Answers
Answer:
a is your correct answer
Answer:
6
Step-by-step explanation:
The ratio of girls to boys in Lizas classroom is 5 to 4 how manny girls are in her classroom if there is a total of 27 students.
Answers
Add the ratios: 5 + 4 = 9
Divide total students by 9:
27/9 =3
Girls are listed first so the 5 part of the ratio is girls.
Multiply 5 by the 3 from above:
5 x 3 = 15
There are 15 girls.
Answer:
There are 12 girls in the classroom because if you take 4+4+4=12 and you do the same with 5 so 5+5+5=15 then add them together you get 27. So, therefore, your answer would be 12
Step-by-step explanation:
of the last 60 people who went to the cash register at the department store, 16 had blomd hair, 20 had black hair, and 3 had red hair. determine the empirical probability the next person will have brown hair
Answers
Answer: 20
Step-by-step explanation:
Answer: Plz don't come for me if its wrong but I think the answer is 21
Step-by-step explanation: Because there are 60 people in all and 16 had blond hair, 20 had black hair and 3 had red hair and 60-16-20-3=39 then you have to take 60-39 and you get 21
A Cub with 40members elects a finance committee having 3members. How many committees
are possible?
Answers
Answer:
9880
Step-by-step explanation:
[tex]C^3_{40}=\frac{40!}{3!(40-3)!} =\frac{40!}{3!*37!}=13*19*40=9880.[/tex]
PLEASE ANSWER THIS QUESTION RIGHT.A ball thrown in the air has a height of h (t)
- 16t2 + 50t + 3 feet after t seconds.
Part A: What is the average rate of change for h(t) between t= 0 and t = 2?
A.36 Seconds per second
seconds per second
B.-36 feet per second
C.-18 seconds per second
D.18 feet per second
Answers
Which value is equivalent to 8?
Answers
Answer:
I cant see the answers to help you.
Step-by-step explanation:
Enter the missing number 57+[34+]=[57+34]+105
Answers
Answer:
105
Step-by-step explanation:
X+X+(60% of X)=180
Ez points plus brainliest
Answers
Answer:
x = 900/ 10 + 3fo
Step-by-step explanation:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Parker drank 36 fluid ounces of a sports drink at her basketball game. How many pints did she drink
Answers
Answer:
2 1/4 pints
Step-by-step explanation:
create a ratio with the fact there are 16 ounces in 1 cup
let 'p' = number of pints
16 = 36
1 p
cross-multiply: 16p = 36
p = 36/ 16, which is 9/ 4, or 2 1/4
Your test in math class has problems worth 2 points and problems worth 4 points. Altogether the test has 100 points. Write an equation that represents the total points on the test formed by the number of 2-point problems and the number of 4-point problems.
Answers
Answer:
100 = 2x + 4y
Step-by-step explanation:
Find the nonzero whole number in the definition of "less than" 22<34
Answers
Answer:
The inequality is always true.
True
(づ￣ ³￣)づ
is that algebra?
In a class of 26 students, 11 are female and 10 have an A in the class. There are 2 students who are female and have an A in the class. What is the probability that a student is a female given that they have an A?
Answers
The probability that a student is a female given that they have an A is 0.2
How to determine the probability?The given parameters are:
Female = 11
A= 10
Female and A = 2
The probability is calculated using:
P(Female given A) = P(female and A)/P(A)
This gives
P(Female given A) = 2/10
Simplify
P(Female given A) = 0.2
Hence, the probability that a student is a female given that they have an A is 0.2
Read more about probability at:
https://brainly.com/question/251701
#SPJ1
A circular swimming pool is 12 feet across and is enclosed by a fence. How long is the fence? (Round your answer to one decimal place.)
Answers
Answer:
the length of the fence is 37.7 feet
Step-by-step explanation:
The computation is given below:
Given that
Diameter = 12 feet
So, the radius is the half of the diameter = 6 feet
Now the length of the fence is
= 2 × π × r
= 2 × 3.14 × 6
= 37.68 feet
= 37.7 feet
Hence, the length of the fence is 37.7 feet
The length of the fence will be 37.7 feet.
Based on the information given, we are informed that the circular swimming pool is 12 feet across and is enclosed by a fence. We want to calculate the perimeter.
The perimeter of a circle will be:
= πd
where,
π = 3.142
d = 12 feet
Therefore, the length of the fence will be:
=πd
= 3.142 × 12
= 37.7 feet
The length of the fence is 37.7 feet.
Read related link on:
https://brainly.com/question/19633520
At a restaurant, the bill comes to $30. If you decide to leave a 10% tip, how much total do you need to pay? Give your answer to the nearest dollar.
Answers
Answer:
$3
Step-by-step explanation:
you multiply 30 by 0.10 giving you 3
This assignment is due in a little can you guys help me, please?
Answers
Answer and Step-by-step explanation:
First, read through the phrase and then break it down.
4 less than the product (multiplying) of 7 and a number (can be noted as 'x')
7x - 4 is the answer, since 4 will be less than the product of 7 and a number, with x being the placeholder.
#teamtrees #WAP (Water and Plant)
Find the area, in square units, of the shaded region without counting every square. (please help)
Answers
so the area of each individual triangle is 4
4x4=
16 units^2
The ratio of the number of text messages sent by Diego to the number of text messages sent by his sister is 3 to 4. Diego sent 18 text messages. How many more text messages did his sister send?
Answers
Answer:
His sister sent 6 more messages than Diego.
Step-by-step explanation:
Ratio of Diego's messages to his sister's messages = 3 : 4
Text messages sent by Diego = 18
Text messages sent by his sister = x
Ratio = 18 : x
It is a proportional relationship,
3 : 4 :: 18 : x
Product of extremes = Product of means
3x = 18*4
3x = 72
[tex]\frac{3x}{3}=\frac{72}{3}\\x=24[/tex]
Difference = 24 - 18 = 6
Therefore,
His sister sent 6 more messages than Diego.
Please help I will mark brainlist
True or False: The magnitude of a resultant vector will always be larger than individual vectors that are both in the first quadrant
Answers
Answer:
I believe that it is false
Find the area of the following shape:
Answers
Answer:
63 in^2
Step-by-step explanation:
Area = base x height
Base: 7
Height: 9
9 x 7 = 63
Answer:
63 inches squared or [tex]63in^{2}[/tex]
Step-by-step explanation:
The answer is 63 inches squared.
The area of a parallelogram is always base times height.
In this case, the base is seven and the height is nine.
To find the area, we must multiply nine by seven
We get 63
But, we are multiplying inches and inches together
When we multiply something by itself, it becomes squared
Since we are multiplying inches by inches, it becomes inches squared
Therefore, the area of the shape is 63 inches squared, or
[tex]63in^2[/tex]
Can someone help me Write an equation for this graph?
Answers
Find the zero of the linear function F(x)=-4x+5
Answers
Answer:
[tex]\frac{5}{4}[/tex]
Step-by-step explanation:
we can find the zero of the linear function
F(x)= -4x+5 ,by solving the equation -4x+5 = 0
Solving the equation:
-4x+5 = 0
⇔ -4x = -5
[tex]\Longleftrightarrow x=\frac{-5}{-4} =\frac{5}{4}[/tex]
⇔ x = 1.25
PLEASE HELP!! I HAVE TO TURN IT IN BY THE END OFF THE DAY (PLEASE DONT GUESS)
Answers
Answer:
Step-by-step explanation:
There are two 35° angles, so the triangle is isosceles.
The width of a rectangle measures (5v-10w)centimeters, and its length measures (2v+3w)centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?
A) −14w+14v
B)−10+6w+14v
C)−14+14v
D)7v−7
Answers
Answer:the perimeter of the rectangle =A) (−14w+14v) centimeters
Step-by-step explanation:
Step 1
The perimeter of a Rectangle is given as 2 (l+ w)
If Length = 2v+3w centimeters.
and width =5v-10wcentimeters
Then Perimeter =2 (2v+3w + 5v-10w)
Perimeter=2(7v -7w)
Perimeter= 14v - 14w or can be written as -14w +14v
.) The total cost of a pizza and 3 drinks is $19. The price of the pizza is $10 and each drink is the
same price, d.
6) Which model represents the situation?
10
d
d
d
19
10
d
19
10-d
10-d
10-d
19
10
10
10
d
19
o
Answers
Answer:
The total cost of a pizza and 3 drinks is $19. The price of the pizza is $10 and each drink is the
same price, d.
6) Which model represents the situation?
I need help with these 2 questions!! please 20 points!!!
Answers
9514 1404 393
Answer:
45 cm²38 cm²Step-by-step explanation:
The conventional way to work these problems is to make use of the formulas for areas of a triangle, rectangle, and semicircle. If you've used these formulas for a while, you recognize that they give you certain relationships that may make these problems easy to do mentally.
__
1. The area of a triangle is half the product of height and width, so is equivalent to the area of a rectangle either half as high, or half as wide. We note that the width of the sail is 5 cm, so half that is 2.5 cm--exactly the same as the height of the boat's hull. That means we can add the height of the sail to the length of the boat, and the total area can be considered to be the same as that of a rectangle that is
2.5 cm high × (12 cm + 6 cm) long = (2.5)(18) cm² = 45 cm²
__
2. The usual formula for the area of a circle is ...
A = πr²
When expressed in terms of diameter, this becomes ...
A = π(d/2)² = (π/4)d²
Then the area of a semicircle is half that, or (π/8)d². This is equivalent to the area of a rectangle that is "d" wide and "π/8·d" high. That is, the approximate area of the semicircle is that of a rectangle 4 cm high by (π/8·4 cm) = π/2 cm wide. In other words, the semicircle effectively adds π/2 cm to the left end of the 6 cm central rectangle of the figure.
As discussed above, the area of a triangle is equivalent to the area of a rectangle half as high. In this figure, the triangle is 10-6 = 4 cm wide, so can be considered to contribute 4/2 = 2 cm to the right end of the 6 cm central rectangle.
If we consider π ≈ 3, then the approximate area of the figure is ...
(4 cm)(3/2 cm + 6 cm + 2 cm) = (4)(9.5) cm² = 38 cm²
__
The exact value is 4(8+π/2) = 32+2π ≈ 38.283 cm².
what is 0.5( -16p - 6) = ?
Answers
Answer:
−8p−3
Step-by-step explanation: