Answers
Answer:
B
Step-by-step explanation:
This is a ratio of polynomials. As n approaches infinity, an approaches 4n / n⁸ = 4 / n⁷, which is a convergent p-series.
Using Limit Comparison Test:
an = (2 + 4n) / (1 + n²)⁴
bn = 4 / n⁷
lim(n→∞) an / bn = 1
The limit is greater than 0, and bn converges, so an also converges.
Related Questions
Jeffrey thinks that the largest place value that 8.21 and 19.5 have in common is the tens place Austin thinks that the largest place value they have in common is the ones place
Answers
Answer:
Austin is correct.
Step-by-step explanation:
19.5 has a tens, ones, and tenths place. 8.21 has a ones, tenths, and hundredths place.
Answer:
Neither are correct.
Step-by-step explanation:
8.21:
Tens Place - 0
Ones Place - 8
Tenths Place - 2
Hundredths Place - 1
19.5:
Tens Place - 1
Ones Place - 9
Tenths Place - 5
Hundredths Place - 0
None of the places are in common, so neither Jeffery nor Austin is correct.
A single die is rolled twice. The set of 36 equally likely outcomes is {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 1), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6),}. Find the probability of getting two numbers whose sum is less than 10.
Answers
what is the value of x,if x=9-9/4
Answers
Answer:
X=6 3/4
Step-by-step explanation:
IF X=9-9/4(X=9-2 1/4) THEN X=6 3/4. HOPE THIS HELPS
what is 2/16 as a decimal
Answers
Dr. Pagels is a mammalogist who studies meadow and common voles. He frequently traps the moles and has noticed what appears to be a preference for a peanut butter-oatmeal mixture by the meadow voles vs apple slices are usually used in traps, where the common voles seem to prefer the appe slices. So he conducted a study where he used a peanut butten oatmeal mixture in half the traps and the normal apple slices in his remaining traps to see if there was a food preference between the two different votes
Indicate which of the following is the null hypothesis, and which is the alternate hypothesis
a. There food preferences among vole species are independent of one another.
b. There is a relationship between voles and food preference.
c. To test for independence, we need to calculate the Chi-square statistic.
These are the data that Dr. Pagels collected
meadow voles common voles
apple slices 15 21
peanut butter-oatmeal 25 16
Answers
Answer:
The food preferences among vole species are independent of one another.
Step-by-step explanation:
The hypothesis can be defined as follows:
H₀: The food preferences among vole species are independent of one another.
Hₐ: There is a relationship between voles and food preference.
The data provided is:
meadow voles common voles
apple slices 15 21
peanut butter-oatmeal 25 16
A Chi-square test for the Goodness of fit will be used.
The expected values are computed using the formula:
[tex]E_{i}=\frac{\text{ith Row Total}\times \text{jth Column Total}}{N}[/tex]
Consider the Excel sheet attached.
The Chi-square statistic value is 2.861.
Compute the degrees of freedom as follows:
df = (r - 1)(c - 1)
= (2 - 1)(2 - 1)
= 1
Compute the p-value as follows:
[tex]p-value=P(\chi^{2}_{(1)}>2.861)=\text{CHISQ.DIST.RT(2.861,1)}=0.091[/tex]
The p-value = 0.091 > α = 0.05
The null hypothesis will not be rejected.
Thus, it can be concluded that the food preferences among vole species are independent of one another.
Find the area of the circle look no
Answers
Area of a complete circle is area = pi x r ^2
Area = 3.14 x 4^2
Area = 3.14 x 16
Area = 50.24 square units.
1/4 of the circle is missing, so multiply the area of the full circle by 3/4:
50.24 x 0.75 = 37.68 cubic units.
An object is moving at a speed of 6 miles per month. Express this speed in feet per hour.
Answers
Answer:
44 ft/hr
Step-by-step explanation:
First, we convert miles to feet.
6 mi*5280 = 31680 feet
Now we convert a month to hours. For this question, lets say that a month is equal to 30 days.
30*24 hrs = 720 hrs
Now we have this speed -
31680 ft/720 hrs
Now we simplify this to -
44 ft/hr
So in conclusion, the speed of 6 miles per month is equivalent to the speed of 44 feet per hour.
Which expression is equivalent to i233?
Answers
Answer:
radical sign of -233
Step-by-step explanation:
Answer:
Step-by-step explanation:
We have to find the value of the expression i^{233}i
233
We know that the below values.
i
2
=−1
i
4
=1
Hence, in order to find the value of the given expression, we can first rewrite it in terms of i^4i
4
i^{233}=(i^4)^{58}
233
=(i
4
)
58
⋅i
Now, we know that i^4=1i
4
=1
Hence, we have
i^{233}=(1)^{58}
233
=(1)
58
⋅i
i^{233}=
233
=1⋅i
i^{233}=ii
233
=i
Tabithas living room is rectangle that measures 19 3/4ft by 12ft find the perimeter and the area of the room
Answers
Answer:
237ft²
63.5ft
Step-by-step explanation:
Given parameters:
Length = 19[tex]\frac{3}{4}[/tex] ft
Width = 12ft
Unknown:
Area of rectangle = ?
Perimeter of rectangle = ?
Solution:
Area of rectangle = length x width
= 19[tex]\frac{3}{4}[/tex] x 12
= [tex]\frac{79}{4}[/tex] x 12
= 79 x 3
= 237ft²
Perimeter of rectangle = 2(length + width)
= 2 (19.75 + 12 )
= 63.5ft
n= 9c-80 solve for c. if n= 19 what is the value of c?
Answers
Answer:
Step-by-step explanation:
n = 9c - 80
n = 19
19 = 9c - 80
-9c = -80 - 19
-9c = -99
c = 99 / 9
c = 11
Hope this helps
plz mark as brainliest!!!!!!
help please !!!!!!!!!!!!!
Answers
Answer:
f(4)= -10
If g(x) =2, then x=0
Step-by-step explanation:
This need help jxb...
Answers
Answer:
That would be y = 2x.
Match each equation with its solution equation n-13=-12
Answers
Answer:
n=1, :) :P UwU TwT -_-
Answer:
n = 1
Step-by-step explanation:
n-13=-12
n-13-(-12)=0
n-1=0
n=1
Aniya is helping her father paint a fence. She can paint 2 sections of the fence in 15 minutes. How many minutes will it take Aniya to paint 12 sections of the fence.
Answers
Answer:
90 minutes
Step-by-step explanation:
Since 15 divided by 2 is 7.5, it takes 7.5 minutes to paint 1 section. 7.5 times 12 is 90, meaning that is takes 90 minutes for her to paint 12 sections.
The question I need help in is the middle one. PLEASE I NEED ANDWER ASAP!
Answers
Answer:
3.25
Step-by-step explanation:
I plugged in 5 for x and got 3.25 when I solved
I need help with 15-19 plz
Answers
Here,
g (x) = -3x + 1
then ,
g(10) = -3 (10) + 1
= -30 +1
= - 29
Again,
g(-6) = -3 (-6) + 1
= 18 + 1
= 19
Complected *******
Thank me later.
which represents 8(95) using the distributive property to simplify
Answers
Answer:
8*90 + 8*9 = 760
Step-by-step explanation:
Because, 8(95) just means 8 times 95 so you just distribute 8 to 90 and 5.
help im confused..........
Answers
Answer:
rvefncoqjefadsNofvewnvfeeljjnfvqe
Step-by-step explanation:
fdcopjsfddcaxjefwpojdsjandipewhhqdaspcixpjewfs;odkcnewoasjjncikkjasn;kcjnnsixjfiasxhcjnsdaxo[okckiefihihehabficphbkjckd khksdk a help me
Answer:
lol im confused aswell
Step-by-step explanation:
What is 11/9 as a decimal?
Answers
hope this helped:))
you could put a - over the 2 to show it continues because it’s 1.22222222 and so on
With the money she had saved by working, Jennifer wanted
Answers
Answer:a car
Step-by-step explanation:
Write two numbers that when rounded to the greatest place value have an estimated sum of 11,000 and an estimated difference of 3,000. Then find the exact sum and the exact difference. Provide a detailed explanation as to how you reached your answers and why they will work.
Answers
Answer:
x + y = 10,999.5 (rounded up to 11000)
x - y = 3,000.3 (this would be rounded down to 3000)
Step-by-step explanation:
Assume;
Two numbers are x, y
So,
x + y = 11,000 .......eq1
x - y = 3,000 .........eq2
eq1 + eq2
So,
2x =14,000
x = 7,000
So y = 4,000
For rounding number
x = 6,999.9 (rounded up to 7,000)
y = 3,999.6 (rounded up to 4,000)
Sum;
x + y = 10999.5 (rounded up to 11000)
x - y = 3000.3 (this would be rounded down to 3000)
What is the least common denominator of 2/3, 1/6 and 11/12
Answers
Answer:
2/3 = 8/12
1/6 = 2/12
11/12 = 11/12
3х3 - 2х2
Simplify if not possible write simplified
Answers
Answer:
[tex] \large{3 \times 3 - 2 \times 2}[/tex]
[tex] \large{9 - 4}[/tex]
[tex] \large{5}[/tex]
Please help with question plaaseeee
Answers
Answer:
Yes it is.Step-by-step explanation:
The graph is proportional because
it is in a straight line in the graph.
Hope this helps! <3
Helppp me plssss! ASAP
Answers
Answer:
140 ft.
Step-by-step explanation:
first find the area of the rectangle
16 x 8 = 128
Area: 128
then find the area of the triangle
Base: 4
Height: 6
Area: 12
Then all u need to do is add
12 + 128 = 140
Sofia is creating a budget to save $120 for a week of soccer camp. She earns money by working as a mother's helper on Saturday mornings and Wednesday afternoons. She earns $20 each time she works. She wants to save $7.50 a week for the camp. Her mother wants her to save $5 a week for college. She is planning on spending $5 a week for snacks and $5 a week for entertainment.
Answers
Answer:
18 weeks
Step-by-step explanation:im gay
!!!TIME LIMIT PLZ HURRY!!!Which describes the relationship between <1 and <2?
Answers
Answer:
adjacent
Step-by-step explanation:
this just means they are next to each other, like they share a ray
Answer:
they are adjacent
Step-by-step explanation:
Adjacent means they are next to each other; and both these angles are right beside each other
The following is the prime factorization of which composite number? 2 to the 2nd power times 3 to the 2nd power times 5
120
60
20
180
Answers
4 X 9 X 5 = 36 X 5 = 180
so the answer is 180
hope this helps
The cost of making a phone is $152. A store sells the phone for $281.20 select all the the expressions that could be used to find the percentage of markup for the ohone
Answers
Answer:
[tex]\frac{100 * (281.20 - 152)}{152}[/tex][tex](\frac{281.20}{152}-1 ) * 100[/tex]Step-by-step explanation:
The above two expressions can be used to find the percentage of mark-up for the phone.
The first expression for instance will give;
[tex]= \frac{100 * (281.20 - 152)}{152}\\\\= \frac{12,920}{152}\\\\= 85[/tex]
= 85%
The second expression will give;
[tex]= (\frac{281.20}{152}-1 ) * 100\\\\= 0.85 * 100\\\\= 85[/tex]
= 85%
Both of them will show that an 85% mark-up has been added to the cost of the phone.
PLEASE HELP,, thank you so much if you do
i’m really confused on how to answer this question could anyone who understands this please help me
i’ll give brainliest
Answers
Answer:
(x)^2+(5)^2=(9)^2
Step-by-step explanation:
(a)^2+(b)^2=(c)^2
(x)^2+(5)^2=(9)^2
x^2+25=81
-25 -25
x^2=56
x=28
p.s. this ^2 means squared