Answers
Answer:
(-11 + √165) / 22
Step-by-step explanation:
∑₂°° (1 + c)⁻ⁿ
= ∑₂°° (1 / (1 + c))ⁿ
= ∑₁°° (1 / (1 + c))ⁿ⁺¹
This is a geometric series with a₁ = 1/(1+c)² and r = 1/(1+c).
The sum of an infinite geometric series is:
S = a₁ / (1 − r)
Therefore:
11 = 1/(1+c)² / (1 − 1/(1+c))
11 = 1 / ((1+c)² − (1+c))
11 ((1+c)² − (1+c)) = 1
11 (1 + 2c + c² − 1 − c) = 1
11 (c + c²) = 1
11c² + 11c − 1 = 0
c = [ -11 ± √(11² − 4(11)(-1)) ] / 22
c = (-11 ± √165) / 22
c cannot be between -2 and 0, so c = (-11 + √165) / 22.
Related Questions
If a room has 28 people in it, how many people Are in a room 14 times it’s size?
Answers
Answer:
392
Step-by-step explanation:
times 28 by 14 and youll get 392 - may i get brainliest :)
Answer:
392 people would be in the room
Step-by-step explanation:
you do 8 times 4 which is 32 then you multiply 8 times 10= 80 add them together 112, then multiply 20 times 4= 80, finally 10 time 20=200 add all together it equals 392
An outlier is often defined as a number that is more than 1.5 times the interquartile range below the first quartile or above the third quartile. Using the definition of an outlier and the given information, which of the following can be concluded?
A. The median is greater than the mean, and the distribution has only one outlier. The median is greater than the mean, and the distribution has only one outlier.
B. The median is greater than the mean, and the distribution has two outliers. The median is greater than the mean, and the distribution has two outliers.
C. The median is less than the mean, and the distribution has only one outlier. The median is less than the mean, and the distribution has only one outlier.
D. The median is less than the mean, and the distribution has two outliers.
Answers
Full question attached
Answer
Option A: the median is greater than the mean and the distribution has only one outlier
Explanation:
From the data median is definitely greater than mean as we can see from the data of siblings, median which is middle number is somewhere greater than the mean 3.5 from the question. Also from the definition of an oulier and given that the median is just one middle number in data, there is just one outlier in the data
On average, Starla drinks 5/6
of a 12 ounce glass of water in 1/3
of an hour.
How much water does she drink in an hour?
O 10 ounces
12 ounces
20 ounces
30 ounces
Answers
A ramp that is used to load a truck makes supplementary angles with the ground. The ramp has an incline (<1) of 28. What is the measure of <2?
Answers
Answer:
Step-by-step explanation:
two angles are said to be supplementary if their sum is 180 degrees
Hence <1 + <2 = 180
Given
<1 = 28
Required
<2
Substitute into the formula
28+<2 =180
<2 = 180-28
<2= 152
Hence the measure of <2 is 152 degrees
Consider the following data on x = weight (pounds) and y = price ($) for 10 road-racing bikes.
Brand Weight Price ($)
A 17.8 2,100
B 16.1 6,250
C 14.9 8,370
D 15.9 6,200
E 17.2 4,000
F 13.1 8,500
G 16.2 6,000
H 17.1 2,580
I 17.6 3,500
J 14.1 8,000
Required:
Use the F test to determine whether the weight for a bike and the price are related at the 0.05 level.
Answers
Answer:
There is a significant relation between weight and price
Step-by-step explanation:
Brand Weight(x) Price ($) (y)
A 17.8 2100
B 16.1 6,250
C 14.9 8,370
D 15.9 6,200
E 17.2 4,000
F 13.1 8,500
G 16.2 6,000
H 17.1 2,580
I 17.6 3,500
J 14.1 8,000
Null Hypothesis : [tex]H_0: \mu =0[/tex]
Alternate Hypothesis : [tex]H_a: \mu \neq 0[/tex]
Given : SST=51956800 SSE= 7312286.84 n = 10
SSR = SST-SSE
SSR=51956800-7312286.84
SSR=44644513.16
Level of significance =[tex]\alpha = 0.05[/tex]
[tex]F=\frac{\frac{SSR}{m}}{\frac{SSE}{n-k}}[/tex]
Where m = no. of restrictions
k = No. of independent variables
[tex]F=\frac{\frac{44644513.16}{1}}{\frac{ 7312286.84}{10-2}}[/tex]
F=48.843
Degree of freedom 1 = 1
Degree of freedom 2 = 10-2=8
Using calculator
p-value is .000114.
p value < α
So, we reject the null hypothesis .
Hence There is a significant relation between weight and price
If the equation were 6x + 2 = 5x + 17, would there be one unique solution? What is it, and what would it mean in terms of the situation?
Answers
Answer:
15
Step-by-step explanation:
6x +2 =5x +17
6x - 5x =17 - 2
x =15
unique solution
Given:
p: student achieves 90 percent on the geometry final.
q: student will receive a passing grade in geometry class.
Which statement is logically equivalent to q - p?
If a student achieves 90 percent on the geometry final, then the student will pass geometry class.
If a student passes geometry class, then the student achieved 90 percent on the geometry final.
If a student did not achieve 90 percent on the geometry final, then the student did not pass geometry class.
Olfa student did not pass geometry class, then the student did not achieve 90 percent on the geometry final.
Answers
Answer:
c
Step-by-step explanation:
What is the slope of the line on the graph
ОА. 5/9
OB. 5/7
OC. 7/5
OD. 9/7
Answers
What is the capital of peru
Answers
Answer:
☆<《HOPE IT WILL HELP YOU 》>☆
Step-by-step explanation:
capital of Peru is Lima
Simplify fully
x² – 9/3x²+8x-3 divided by x-3/x+2
Answers
Answer:
-(x(2x squared-8x+3))/(x-1)(x+3)
Step-by-step explanation:
This can't be simplified very far, but the answer is above. Hope it helps!
The simplified equation of x² – 9/3x²+8x-3 divided by x-3/x+2 is (x-3)(4x+1)/(3x-1)(x+2).
What is Simplification?Simplification is the process of replacing a mathematical expression by an equivalent one, that is simpler. Therefore,
WE need to simplify the given;
[tex]\dfrac{x^{2}-9 }{3x^{2} +8x-3}+\dfrac{x-3}{x+2}[/tex]
3x² + 8x - 3 = (3x - 1)(x + 3)
x² - 9 = (x - 3)(x + 3)
Then;
[tex]\dfrac{(x-3)(x+3)}{(3x-1)(x+3)} +\dfrac{x-3}{x+2} =\dfrac{(x+2)(x-3)(x+3)+(x-3)(x+3)(3x-1)}{(3x-1)(x+3)(x+2)}[/tex]
Therefore,
[tex]\frac{(x+2)(x-3)(x+3)+(x-3)(x+3)(3x-1)}{(3x-1)(x+3)(x+2)}=\frac{((x+3)(x-3)((x+2)+(3x-1)))}{(3x-1)(x+3)(x+2)}[/tex]
[tex]\dfrac{((x+3)(x-3)((x+2)+(3x-1)))}{(3x-1)(x+3)(x+2)}=\dfrac{(x-3)((x+2)+(3x-1))}{(3x-1)(x+2))}[/tex]
[tex]\dfrac{(x-3)((x+2)+(3x-1))}{(3x-1)(x+2))} = \dfrac{(x-3)(x+2+3x-1)}{(3x-1)(x+2)}[/tex]
[tex]\dfrac{(x-3)(x+2+3x-1)}{(3x-1)(x+2)}=\dfrac{(x-3)(4x+1)}{(3x-1)(x+2)}[/tex]
Hence, The simplified equation of x² – 9/3x²+8x-3 divided by x-3/x+2 is (x-3)(4x+1)/(3x-1)(x+2).
Learn more about simplification;
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a store sells jump rope. Each jump rope cots the sa
Answers
You haven't finished the question.
You need to finish the question before it can be answered.
Divide. -4 1/3 divided by 2 3/5
Answers
three numbers that have 2, 4, and 8 as factors. What other factors do these numbers have in common?
Answers
Michael is renting a bicycle for $12 per hour. How many cents per minute?
Answers
Answer:
0.20
Step-by-step explanation:
write an equation for the line Below
Answers
Answer:
y=-1/2x
Step-by-step explanation:
Answer:
y=-1/2x
Step-by-step explanation:
shown in graph
This graph shows the solution to which inequality?
(3,-1)
(-3,-3)
Answers
Answer:
its c. y>1/3x-2
Step-by-step explanation:
Just took the quiz
Hey I have a question for y’all, what helps build preseverance in your opinion ?
Answers
Answer:ummm......
Step-by-step explanation:
what ur questions I don't get it
Hello Can someone help me please???
What is the factored form of 5x2 – 19x + 12?
A.) (5x – 3)(x – 4)
B.) (5x – 4)(x – 3)
C.) (5x – 12)(x – 1)
D.) (5x – 1)(x – 12)
Answers
Explanation: Multiply using distributive property to get 5x^2-19x+12
Answer:
pretty sure its B
Step-by-step explanation:
hope this helps ;)
John's sister is twice his age. In 5 years the sum of their ages will be 31. How old are John and his sister now? Briefly explain how you arrived at your answer.
Answers
Like usual, we can solve this question using an equation. Let’s assume that John’s age is x, and his sister’s age is y.
x = 2y
To figure out John’s age, we need to know his sister’s age. He’s 2 times older than his sister.
x + y = 27
The sum of their ages is 27, and we can substitute the value of x here to figure out y.
2y + y = 27
We can now simplify this, and get y by itself.
3y = 27
Now, we can divide by 3 to get the y by itself.
y = 9
We now know that John’s sister is 9.
Now, using our original equation, we can substitute in the value of y.
x = 2(9)
We can simplify this.
x = 18
John’s age is 18!
Hope this helps.
Find the measure of angle b
Answers
Answer:
40 degrees
Step-by-step explanation:
180-140=40
Answer:
40° that's the answer hope I helped
Add.
0.125 + 0.25 + 0.33
Answers
Answer:
0.705
Step-by-step explanation:
Answer: the answer is .705
Step-by-step explanation:
the numbers 0.25 and 0.33 are technically 0.250 and 0.330
so just line them up and add. 0.250+0.125+0.330=0.705
$8000 is compounded semiannually at a rate of 7% for 20 years.
Answers
Liam earns $7.00 an hour shoveling snow. What is the relationship between the number of hours and the amount he earns?
Answers
okay that's alll guess
lines of best fit (regression lines) must touch all dada points on a scatter plot
true or false
Answers
Answer:
False
Step-by-step explanation:
A regression line tries to average out all data points, so it may not touch any of them.
Daniel has to carry 32 boxes to his room. He can
carry 4 boxes on each trip. How many trips will
Daniel take? Show your work?
Answers
So 8 trips in total
Daniel will take 8 trips.
What is division?The division is one of the four basic mathematical operations, the other three being addition, subtraction, and multiplication.
Now it is given that,
Number of boxes = 32
Number of boxes can be carried in each trip = 4
So, Number of trips = Number of boxes / Number of boxes can be carried in each trip
⇒ Number of trips = 32/4
⇒ Number of trips = 8
this is the required number of trips Daniel will take.
Thus, Daniel will take 8 trips.
To learn more about Division here :
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HELP!!!!!
answer asap! this is due in two hours!!
Answers
Answer:
it is 56
Step-by-step explanation:
there are 4 sides and they are all 10 and if you add them they are 40 and if you do the bottom it is 16 and 40 + 16 is 56 hope it helps
Online concerts tickets cost 37$ each, plus a service charge of 8.50$ per ticket. The web site also charges a transaction fee of 14.99$ for the purchase. You paid 242.49$. How many tickets did you buy?
Answers
Answer:
5 tickets
Step-by-step explanation:
45.50t + 14.99 = 242.49
-14.99 -14.99
45.50t = 227.5
t = 5
Ms. Ramirez is throwing a fundraising event to
raise money for new chromebooks for GWCP.
Ms. Ramirez is charging $35 an an entrance fee
and then additionally guest can buy raffle tickets
for prizes. Ms. Colsant comes to the event,
purchases 4 raffle tickets and spends a total of
$62. How much is Ms. Ramirez charging for raffle
tickets at the event?
Students, write your response!
Pear Deck interest
Answers
Currently, Trevon is three times as old as Janice. In four years, the sum of their ages will be 48. If Janice's
current age is represented by n, which of the following equations could be used to correctly solve for n?
Answers
Answer:
n+3n+4=48
Step-by-step explanation:
If a mother is 20 years old when her baby is born how old will she be when she is twice as old as her child
Answers
Answer:
40.
Step-by-step explanation: