Answers
Answer:
None of the above
Step-by-step explanation:
According to the divergence test, if the limit of a sequence as n approaches infinity does not equal 0, then the series diverges. (Notice that if the limit does equal 0, the series doesn't necessarily converge).
According to the geometric series test, a geometric series converges if -1 < r < 1, and diverges otherwise.
The first series is a geometric series with r = -5/3. So it diverges.
The second series is also a geometric series:
3ⁿ⁻¹ / 2ⁿ = ⅓ (3ⁿ / 2ⁿ) = ⅓ (3/2)ⁿ
r = 3/2, so it diverges.
For the third series, the limit as n approaches infinity equals 1. This fails the divergence test, so this series also diverges.
For the fourth series, the limit as n approaches infinity equals 1. This fails the divergence test, so this series also diverges.
Related Questions
Solve the following compound inequality: 4x + 8 15
Answers
Answer:
4x - 8 = 15
4x = 15 + 8
4x = 23 (divide both sides by 4 to get x)
4x/4 = 23/4
x = 5.75
Step-by-step explanation:
x = 5.75!!!!!
The Baltic Sea is almost completely surrounded by countries in Europe. The average depth of the Baltic Sea is 52 meters below the surface. The deepest point in the Baltic Sea is 407 meters lower than this.
What is the deepest point in the Baltic Sea relative to the surface?
Answers
Answer:
-459
Step-by-step explanation:
-52 - 407 = -552 + (-407) = -459
Find the value of xx, yy, and zz in the parallelogram below.
Answers
Answer:
Step-by-step explanation:
Opposite sides of a parallelogram are congruent, so:
[tex]8x+3=19 \longrightarrow x=2[/tex]
[tex]27=-y-5 \longrightarrow y=-32[/tex]
The radii of two similar cones are 27:125. What is the ratio of their areas?
Answers
Answer:
729 : 15,625
Step-by-step explanation:
the ratio of their areas is 27² : 125² = 729 : 15,625
From a group of six people, two individuals are to be selected at random. How many selections are possible?
Answers
Answer:
15
Step-by-step explanation:
Question 8 of 10
Which describes the money that a business makes when it sells goods or
services for more than it spent on the goods and services?
A. Cost
Ο Ο
B. Revenue
C. Loss
D. Profit
O
SUBMIT
Answers
Have a good day!!!!!
The money that a business makes when it sells goods or services for more than it spent on the goods and services is profit.
Option D is the correct answer.
What is a profit?Profit is the difference between the selling price and the cost price.
We have,
Revenue refers to the total income that a business generates by selling goods or services.
Cost refers to the total expenses incurred by a business in order to produce and sell those goods or services.
Profit is the difference between revenue and cost.
It is the money that a business makes when it sells goods or services for more than it spent on producing and selling them.
Profit is important for businesses as it allows them to invest in growth and development, pay dividends to shareholders, and sustain their operations over the long term.
Thus,
The money that a business makes when it sells goods or services for more than it spent on the goods and services is profit.
Learn more about profits here:
https://brainly.com/question/15699405
#SPJ5
The scale of the drawing was 1 centimeters:4 meters.What is the ratio of the drawing?
Answers
9514 1404 393
Answer:
1 : 400
Step-by-step explanation:
A meter is 100 cm, so 4 m = 400 cm.
1 cm : 4 m = 1 cm : 400 cm = 1 : 400
Answer:
1:400 w7uwuwwuwiwiwyyyuuiyy
Find g'(x) given that g(x) = x^3 cos(πx)
Answers
Answer:
[tex]3x^2 cos (\pi x)-\pi x ^3sin(\pi x)[/tex]
Step-by-step explanation:
Product rule, noticing that the second function is composed.[tex]g'(x) = (3x^2)\cdot cos(\pi x) + (x^3) \cdot [-\pi sin(\pi x)] = 3x^2 cos (\pi x)-\pi x ^3sin(\pi x)[/tex]
Hello!
We can use the product rule to differentiate this function.
Let g(x) = f(x) · h(x).
Recall the following:
[tex]\frac{dy}{dx} f(x) * h(x) = f'(x)h(x) + h'(x)f(x)[/tex]
In this instance, let:
[tex]f(x) = x^3\\\\h(x) = cos(\pi x)[/tex]
Differentiate each.
f(x):
Use the product rule:
[tex]\frac{dy}{dx}x^n = nx^{n-1}\\\\f'(x) = 3x^{3-1} = 3x^2[/tex]
h(x):
Use the chain rule.
[tex]h'(x) = \pi (1) * -sin(\pi x) = -\pi sin(\pi x)[/tex]
Now, we can use the above product rule.
[tex]g'(x) = 3x^2 * cos(\pi x) + (-\pi sin(\pi x) * x^3)\\\\\boxed{g'(x) = 3x^2cos(\pi x) - \pi x^3 sin(\pi x)}[/tex]
(3х +20) (5х – 16)
Find x
Answers
Answer:
x=18?
Step-by-step explanation:
oops if its expanding brackets x doesnt equal to 18
Answer:
The Value Of X Is 15x^2+52 hope it helps u
Determine the value of x circles
Answers
PLEASE HELP PLEASE PLEASEEEE TY
Answers
Answer: 120
Step-by-step explanation: To find the volume of these two combined, we must use V = s*s*s. 4 * 10 * 2 = 80, and 2 * 5 * 4 = 40, and since we are combining this together for an added volume (since it is a tower), it is 120 inches cubed.
A major grocery store chain is trying to cut down on waste. Currently, they get peaches from two different distributors, WholeFruits and GreenGrocer. Out of two large shipments, the manager randomly selects items from both suppliers and counts the number of items that are not sell-able due to bruising, disease or other problems. She then makes a confidence interval. Is there a significant difference in the quality of the peaches between the two distributors
Answers
There is a significant difference in the quality of the peaches between the two distributors because:
We are 95% confident that the proportion of non sell-able items for Whole Fruits is anywhere between 0.064 and 0.156 HIGHER than the proportion of non sell-able items for Green Grocer.What does confidence interval of 95% mean?A confidence interval is a term that connote an estimate (plus or minus) the variation that may be seen in that specific estimate.
A 95% confidence interval implies that if a person do a research such as (two different distributors, e.g. WholeFruits and GreenGroce) and took 100 different samples and then compute a 95% confidence interval for each sample, it therefore means that about 95 of the 100 confidence intervals will hold the true mean value (μ).
See options below
We are 95% confident that the proportion of non sell-able items for Whole Fruits is anywhere between 0.064 and 0.156 LOWER than the proportion of non sell-able items for Green Grocer.
We are 95% confident that the proportion of non sell-able peaches for Whole Fruits is about -0.064 and 0.156.
We are 95% confident that the proportion of non sell-able items for Whole Fruits is anywhere between 0.156 LOWER and 0.064 HIGHER than the proportion of non sell-able items for Green Grocer.
We are 95% confident that the proportion of non sell-able peaches from Whole Fruits is anywhere between 0.064 and 0.156.
We are 95% confident that the proportion of non sell-able items for Whole Fruits is anywhere between 0.064 and 0.156 HIGHER than the proportion of non sell-able items for Green Grocer.
Learn more about confidence interval from
https://brainly.com/question/15712887
$641.29 is what percent of $986,60?
I need this ASAP
Answers
Answer:
65%
Step-by-step explanation:
You start by dividing 641.29 by 986.60 (641.29/986.60). This gets you .65, which as a percentage is 65%
How many lateral faces does a triangular pyramid have?
one
two
three
four
Answers
Answer:
three
Step-by-step explanation:
The lateral faces are any faces besides the base.
In summary, we will count how many sides there are in a triangular pyramid, and subtract one for the base.
-> A triangular pyramid has four sides / faces
-> A triangular pyramid has three lateral faces
Answer: 3
Step-by-step explanation: i did the quiz
Please solve with explanation (10 points)
Answers
Answer:
Question (a)
[tex]x^2-a^2-bx-ab=0[/tex]
Write in standard form [tex]ax^2+bx+c=0[/tex]:
[tex]\implies x^2-bx-(a^2+ab)=0[/tex]
Therefore,
[tex]a=1[/tex][tex]b=-b[/tex][tex]c=-(a^2+ab)[/tex]Using quadratic formula:
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
[tex]\implies x=\dfrac{b\pm\sqrt{(-b)^2+4(1)(a^2+ab)} }{2(1)}[/tex]
[tex]\implies x=\dfrac{b\pm\sqrt{b^2+4a^2+4ab} }{2}[/tex]
[tex]\implies x=\dfrac{b\pm\sqrt{(b+2a)^2} }{2}[/tex]
[tex]\implies x=\dfrac{b \pm (b+2a)} {2}[/tex]
[tex]\implies x=\dfrac{2b+2a} {2}=b+a[/tex]
[tex]\implies x=\dfrac{-2a} {2}=-a[/tex]
Question (b)
[tex]6x^2-15ax=2bx-5ab[/tex]
Write in standard form [tex]ax^2+bx+c=0[/tex]:
[tex]\implies 6x^2-15ax-2bx+5ab=0[/tex]
[tex]\implies 6x^2-(15a+2b)x+5ab=0[/tex]
Therefore,
[tex]a=6[/tex][tex]b=-(15a+2b)[/tex][tex]c=5ab[/tex]Using quadratic formula:
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
[tex]\implies x=\dfrac{(15a+2b)\pm\sqrt{(-15a-2b)^2-4(6)(5ab)} }{2(6)}[/tex]
[tex]\implies x=\dfrac{(15a+2b)\pm\sqrt{225a^2+60ab+4b^2-120ab} }{12}[/tex]
[tex]\implies x=\dfrac{(15a+2b)\pm\sqrt{225a^2-60ab+4b^2} }{12}[/tex]
[tex]\implies x=\dfrac{(15a+2b)\pm\sqrt{(15a-2b)^2} }{12}[/tex]
[tex]\implies x=\dfrac{(15a+2b) \pm (15a-2b) }{12}[/tex]
[tex]\implies x=\dfrac{30a }{12}=\dfrac52a[/tex]
[tex]\implies x=\dfrac{4b}{12}=\dfrac13b[/tex]
Question (c)
[tex]\dfrac{x^2}{x-1}=\dfrac{a^2}{2a-4}[/tex]
Cross multiply:
[tex]x^2(2a-4)=a^2(x-1)[/tex]
Write in standard form [tex]ax^2+bx+c=0[/tex]:
[tex](2a-4)x^2-a^2x+a^2=0[/tex]
Therefore,
[tex]a=(2a-4)[/tex][tex]b=-a^2[/tex][tex]c=a^2[/tex]Using quadratic formula:
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
[tex]\implies x=\dfrac{a^2\pm\sqrt{(-a^2)^2-4(2a-4)(a^2)} }{2(2a-4)}[/tex]
[tex]\implies x=\dfrac{a^2\pm\sqrt{a^4-8a^3+16a^2} }{4a-8}[/tex]
[tex]\implies x=\dfrac{a^2\pm\sqrt{a^2(a-4)^2} }{4a-8}[/tex]
[tex]\implies x=\dfrac{a^2\pm a(a-4)}{4a-8}[/tex]
[tex]\implies x=\dfrac{a^2\pm (a^2-4a)}{4a-8}[/tex]
[tex]\implies x=\dfrac{2a^2-4a}{4a-8}=\dfrac{2a(a-2)}{4(a-2)}=\dfrac12a \ \ \ (a\neq 2)[/tex]
[tex]\implies x=\dfrac{4a}{4a-8}=\dfrac{a}{a-2} \ \ \ \ (a\neq 2)[/tex]
please help
every package of a certain caculator also includes 4 batteries. select all equations that represent the relationship between the number of packages and the number of batteries
a.) p = 4b
b.) b = 4p
c.) p=1/4b
d.)b= 1/4p
Answers
Answer:
c
Step-by-step explanation:
Lotto Texas offers multi-million dollar jackpots with drawings every Wednesday and Saturday. Lach $1 ticket allows the player to pick 6
numbers from 54. To win the jackpot, all 6 numbers must match (in any order)
How many different lottery tickets could be sold?
How many ways are there to win the jackpot? I
How many ways are there to match 5 of 6 numbers?
How many ways are there to match 3 of 6 numbers?
How many ways are there to match 4 of 6 numbers?
Answers
The computation of the probability from the jackpots drawings of Lotto Texas shows that the number of different lottery tickets that could be sold is 25827165.
How to calculate the probability?The number of different lottery tickets that could be sold will be:
= 54C6
= 54! / (54-6)!6!
= 54! / 48!6!
= 25827165
The number of ways that are there to match 5 of 6 numbers will be:
= 6C5 × (54 - 6)C1
= 6 × 48
= 288
The number of ways that are there to match 3 of 6 numbers will be:
= 6C3 × (54 - 6)C3
= 20 × 17296
= 345920
The number of ways that are there to match 4 of 6 numbers will be:
= 6C4 × (54 - 6)C2
= 15 × 1128
= 16920
Learn more about probability on:
https://brainly.com/question/25870256
100 POINTS
how much money would we have if we did only interest on this account in 11 years When kolton starts college?
Answers
What are the coordinates of your new IMAGE A’B’C’?
A’=____
B’=____
C’=____
Answers
Answer:
Sensor Calibration
Convert between coordinate systems of every sensor, image, vehicle and global coordinate axis system. So data from a sensor can be mapped globally.
Calibration of a camera helps to convert a pixel in an image to
Computer Vision
Step-by-step explanation:
One year, the population of a city was 354,000. Several years later it was 414,180. Find the percent increase.
Answers
well, from 354000 to 414180, their difference is 414180 - 354000 = 60180.
if we take 354000 to be the 100%, what is 60180 off of it in percentage?
[tex]\begin{array}{ccll}amount&\%\\\cline{1-2}354000&100\\60180&x\end{array}\implies \cfrac{354000}{60180}=\cfrac{100}{x}\implies \cfrac{100}{17}=\cfrac{100}{x}\\\\\\100x=1700\implies x=\cfrac{1700}{100}\implies x=17[/tex]
The percent increase in the population is 17%.
What is the percentage?The percentage is a ratio that can be expressed as a fraction of 100.
Given that, the population of the city increased from 354000 to 414180.
The amount of increase is:
414180 - 354000
= 60180
The percent increase is given by:
(60180/354000) × 100%
= 17%
Hence, the percent increase in the population is 17%.
Learn more on percentages here:
https://brainly.com/question/14979505
#SPJ6
23 divided by 8 I need help
Answers
Answer:
2.875
Step-by-step explanation:
Answer:
2.875
Step-by-step explanation:
its not a whole number its a fraction or decimal but i gave u the decimal
please help me asap
Answers
Answer:
The second option: Waxing crescent - first quarter; Waning gibbous - third quarter
Here is a prism. Its face is made from 6 identical squares
with side length 2 cm.
12 cm
2 cm
Diagram not drawn to scale
Work out the volume of the prism.
State the unit of your answer.
Answers
The volume of the prism that its faces is made from 6 identical squares is 48 cm³.
Volume of a square prismA square prism is a 3-dimensional cuboid where the base and top are equal squares.
v = a²hwhere
a = side length
h = height
Therefore,
a = 2 cm
h = 12 cm
Therefore,
v = a²h
v = 2² × 12
v = 4 × 12
v = 48 cm³
learn more on prism here: https://brainly.com/question/3533018
Answer:
288cm (cubed)
Step-by-step explanation:
4*2=8*12=96
6*2=12*12=144
2*2=4*12=48
144+96+48=288
Find the value of x?
Answers
Answer:
x=25
All triangles must equal 180
95+35=130
What is another name for k in algebra
Answers
Awnser me pkeaeeeeeeeeee
Answers
Answer:
46.01
Step-by-step explanation:
i.e sum of all the purchases + 7% of the total purchase.
Solve the equation. Check your solution using substitution.
{45.28 = 19.83 + z}
Group of answer choices
z=25.45
z=65.11
z=897.9
z=2.28
Answers
Answer:
z=25.45
because {45.28=19.83+25.45}
{45.28=45.28}
g - 32 = 52
a) obtain a formula for g
b) Solve for g
Answers
Answer:
a) obtain a formula for g
=> g - 32 = 52
=> g = 52 + 32
b) Solve for g
=> 52 + 32
=> g = 84
Answer:
a) obtain a formula for g
Calculate the sum of first n natural numbers as sumtotal= n*(n+1)/2.
Create a variable sum to store the sum of array elements.
Traverse the array from start to end.
Update the value of sum as sum = sum + array[i]
Print the missing number as SumTotal – sum.
b) Solve for g
g = 84
Hope it helps!!!Brainliest pls!!!
Which number is divisible by both 3 and 9?
OA) 21,369
OB) 27.621
OC) 27,629
OD) 36,663
Answers
Answer: A) 21,369
Step-by-step explanation: since 21,369 can be divided by 3 and = a whole number then it's divisible and also it's divided without a remainder / it's compatible so, 21,369/3= 7,123 which makes (A) your correct answer
Help help math math math math
Answers
Answer:
(-2, -2)
Step-by-step explanation:
Firstly you can substitute the y= -6x -14 Directly into the other equation having one equation that looks like this 8x+3(-6x-14)= -22 then solve for X and substitute in the y equation you also get the y value
Answer:
(-2, -2)
Step-by-step explanation: