Answer:
210.25
Step-by-step explanation:
841/4=210.25
How do you do this question?
Exact value: [tex]c = \frac{-11+\sqrt{165}}{22}[/tex]
Approximate value: c = 0.08387
Round the approximate value however you need to
==============================================
Work Shown:
Let x = 1+c
[tex]\displaystyle S = \sum_{n=2}^{\infty}(1+c)^{-n}\\\\\\\displaystyle S = \sum_{n=2}^{\infty}x^{-n}\\\\\\\displaystyle S = \sum_{n=2}^{\infty}\frac{1}{x^n}\\\\\\\displaystyle S = \frac{1}{x^2}+\frac{1}{x^3}+\frac{1}{x^4}\ldots\\\\\\[/tex]
We have an infinite geometric series here. The first term is a = 1/(x^2). The common ratio is r = 1/x.
Each new term is found by multiplying the previous term by 1/x.
Assuming -1 < r < 1 is true, the infinite geometric sum is
[tex]S = \frac{a}{1-r}\\\\\\S = \frac{1/x^2}{1-1/x}\\\\\\S = \frac{1/x^2}{x/x-1/x}\\\\\\S = \frac{1/x^2}{(x-1)/x}\\\\\\S = \frac{1}{x^2}\div\frac{x-1}{x}\\\\\\S = \frac{1}{x^2}*\frac{x}{x-1}\\\\\\S = \frac{1}{x^2-x}\\\\\\[/tex]
Plug in S = 11 and solve for x
[tex]S = \frac{1}{x^2-x}\\\\11 = \frac{1}{x^2-x}\\\\11(x^2-x) = 1\\\\11x^2-11x = 1\\\\11x^2-11x-1 = 0\\\\[/tex]
Use the quadratic formula to find the two solutions
[tex]x = \frac{11+\sqrt{165}}{22} \approx 1.08387\\\\x = \frac{11-\sqrt{165}}{22} \approx -0.08387\\\\[/tex]
Using these x values, we find that the corresponding r values are
r = 1/x = 1/(1.08387) = 0.92262
r = 1/x = 1/(-0.08387) = -11.92321
The first r value makes -1 < r < 1 true, but the second r value does not. So we will be ignoring the solution x = -0.08387
----------------------------------------------
Using the solution that corresponds to x = 1.08387, we find the value of c is
[tex]x = c+1\\\\c = x-1\\\\c = \frac{11+\sqrt{165}}{22}-1\\\\c = \frac{11+\sqrt{165}}{22}-\frac{22}{22}\\\\c = \frac{11+\sqrt{165}-22}{22}\\\\c = \frac{-11+\sqrt{165}}{22}\\\\c \approx 0.08387\\\\[/tex]
Give brainliest answer
Answer:
6
Step-by-step explanation:
if a triangle is reflected, its area stays the same. the height is 3, and the base is 4. the formula for the area of a triangle is 1/2 (b)(h), so that is 1/2 (3)(4) which equals 6 square units.
in the real world humans hear sound as an analog signal. this means the signal is a continuous waveform which is completely processable by human ears. however machines 'hear' sound a little differently as they process sound digitally which is a discrete waveform. when sound is recorded or transmitted electronically the continuous (analog) waveform is sampled to convert it to a discrete (digital) sequence. sampling is the process of reducing a continuous time signal to a discrete-time signal. as the sampling rate increases the sound quality of the recording or transmission will improve. the graphs below represent two different samples of pure tone. sample one is taken 8 times per unit of time. sample two is taken 16 times per unit of time. a) why would sample 2 reproduce a better replication of the pure signal? b) write a sinusoid model for sample 2
Answer:
y=7.75cos(pi/8(x)) + 7.75
Step-by-step explanation:
A= 15.5 - 0 = 15.5/2 = 7.75 (Max Y - Min Y)
P = 16-0 (Distance between Max x and next Max x)
F= Pi/8
Midline= 7.75
Vertical Shift = Midline = 7.75
Answer for A since the other person answered only B
Sample 2 would reproduce a better replication of the pure signal because it records more frequently, meaning that it would be closer to being a continuous waveform when compared to sample 1.
A hotel manager is buying wallpaper for the rooms in his
hotel. Each roll of wallpaper costs $48. If he spent $5,568,
how many rolls of wallpaper did the hotel manager buy?
1,017
106
1,016
116
Please help what is -0.5 divided by -1/5
If the odds for a certain event are 5 to 12, what is the probability of the event occuring? Write your answer
as a simplified fraction.
Answer:
5/12
Step-by-step explanation:
Isn't this just a ratio?
Given the linear function 2x - y= 5 what is the slope? And As x increase does y increase or decrease and as x decreases does y increase or decrease
Answer:
The slope is 2. As x increase y is increase and as x decrease y decrease
The area of a square sports arena is 10,000 m² what are the dimensions of the sports arena on the map.
Answer:
Step-by-step explanation:10,000square you have to multiply them my all squares to get the answer
A bakery sells, on average, 100 special breads per day and collects with these sales, on average, R $ 300.00. It was found that the quantity of special breads sold daily increases if the price is reduced, according to the equation q = 400 - 100p, in which q represents the quantity of special breads sold daily and p, its price in reais. In order to increase the flow of customers, the bakery manager decided to run a promotion. To do so, it will modify the price of special bread so that the quantity to be sold daily is as large as possible, without decreasing the average daily collection on the sale of this product. The price p, in reais, of the special bread in this promotion should be in the range
a) R $ 0.50 p
b) R $ 1.50 p
c) R $ 2.50 p
d) R $ 3.50 p
e) R $ 4.50 p
If the price is p and the quantity of bread sold is q = 400 - 100p, the average collection, in reais, depending on the price p, is given by R (p) = (400 - 100p). P
For this collection to be R $ 300.00, you must have:
(400 - 100p). p = 300 ⇔ 4p - p² = 3 ⇔ p² - 4p + 3 = 0 ⇔ p = 1 or p = 3
R $ 300.00
The current price is R $ 3.00, as R $ 300,000 / 100 = R $ 3
To maintain the collection, the price must be lowered to R $ 1.00 (R $ 0.50 <R $ 1.00 <R $ 1.50)
ANSWER: letter A
Carlos cut Start Fraction 5 Over 12 End Fraction of a yard of cloth into 5 pieces of equal length. What was the length of each piece of cloth?
Start Fraction 1 Over 60 End Fraction of a yard
Start Fraction 1 Over 25 End Fraction of a yard
Start Fraction 1 Over 12 End Fraction of a yard
One-fifth of a yard
Answer:
C.1/12
Step-by-step explanation:
Divide 5/12 by 5 since he cut it into 5 equal pieces
Kia Read for a total of 60 minutes on Monday and Tuesday. He read for 60 minutes on Tuesday. How many minutes did he read on Monday?
Find the equation of a line that passes through the points (1, 2) and (5,8).
1: y= 3/2 + 1/2
2: y= 3/2 + 1
3: y= 3/2 + 2
Answer:
1: y = 3/2 + 1/2
Step-by-step explanation:
y1 -y2/x1 - x2
8-2 / 5-1
6/4 = 3/2
y-2=3/2(x-1)
y-2=3/2x - 3/2
y-2 +2= 3/2x - 3/2 +2
y=3/2x + 1/2
5.) You are working for a car dealership. You are doing an inventory of the lot. You counted 34
trucks. 15 cars, and 8 SUVs. What is the ratio of SUVs to total vehicles on the lot?
Answer: 8 SUVs to 57 total
Step-by-step explanation: You add 34 + 15 + 8 which gives you 57 Then you see there are 8 SUVs. So the answer is 8 to 57.
Sorry. I kinda got ahead of myself and excited. Guess mistakes happen. I was right the first time. I'm just so tired right now
FIRST ANSWER GETS BRAINLIEST!!!
Describe how to model -3x + 7 = 28 with algebra tiles.
Answer:
-7
Step-by-step explanation:
-3x+7=28
-7=28
-7
-3x/21
x=-7
If he drank 80% of his water on his entire hike, how much did he drink?
Not enough information is given to answer this question. If there was 100% water at the beginning of the hike and now there is 80% it would be 20% but without the information, you cant know.
Is 2|12 true or false
Answer:
true
Step-by-step explanation:
Because it is
The houses on a city block were thought to be valued at $175,000, $163,000,
$142,000, $135,000, $191,000, $122,000, and $147,000, respectively. But a
public assessor has determined that the value of each house is actually
$20,000 higher than previously thought. According to the public assessor,
what is the median value of the houses?
O A. $162,000
O B. $167,000
O c. $155,000
O D. $147,000
SUBMIT
Answer:
$167,000
Step-by-step explanation:
THAT'S THE ANSWER.COM
The median value of the houses is $167,000.
MedianWhat is median value?The middle number in a collection of numbers is known as the median.
How median is calculated?Check to see if 'n' is an even number of values.Find the two numbers that are in the centre of the table of data. Adding the two middle numbers together and dividing the result by two will yield the average of the two numbers.The median is the outcome of this average.Calculation for the median of the houses:The initial value of the 7 houses were,
$175,000, $163,000, $142,000, $135,000, $191,000, $122,000, and $147,000.
As, the value of each house were increased by $20,000.
The value of houses after increment,
$195,000, $183,000, $162,000, $155,000, $211,000, $142,000, and $167,000.
Arrange the values in the increasing order.
$142,000, $155,000, $162,000$, 167,000, $183,000, $195,000, $211,000.
Since, the given data has 7 values which is a odd number. So, values come in the middle is $167,000.
Therefore, the median value of the houses is $167,000.
To know more about how to find average?, here
https://brainly.com/question/130657
#SPJ2
find the value of x.
(6x+8)
(7x-7)
Answer:
ITS 95
Step-by-step explanation:
TRY CALCULATING IT
sorry i don't know
sbhwgwvhwhev
have a random argument with yourselves
Answer:
ok
Step-by-step explanation:
Jose is riding his bicycle. He rides at a speed of 12 kilometers per hour fore 38.4 kilometers. For how many hours does he rides
Answer:
3.2 hours
Step-by-step explanation:
The two triangles shown are similar. Find the value of a/b
Answer:
[tex] \frac{a}{b} = 1.5 [/tex]
Step-by-step explanation:
Given that both ∆s are similar, therefore the ratio of their corresponding sides will be the same.
This means: [tex] \frac{2.1}{a} = \frac{1.4}{b} [/tex].
Since this equation is true, rewrite so that you have [tex] \frac{a}{b} [/tex]
[tex] \frac{2.1}{a} = \frac{1.4}{b} [/tex]
Cross multiply
[tex] a*1.4 = b*2.1 [/tex]
Divide both sides by 1.4
[tex] a = \frac{b*2.1}{1.4} [/tex]
Divide both sides by b
[tex] \frac{a}{b} = \frac{2.1}{1.4} [/tex]
[tex] \frac{a}{b} = 1.5 [/tex]
The value of [tex]\dfrac{a}{b}[/tex] is [tex]1.5[/tex].
Given:
Two triangles in the given figure are similar.
To find:
The value of [tex]\dfrac{a}{b}[/tex].
Explanation:
The corresponding sides of two similar triangles are proportional.
[tex]\dfrac{a}{2.1}=\dfrac{b}{1.4}[/tex]
It can be rewritten as:
[tex]\dfrac{a}{b}=\dfrac{2.1}{1.4}[/tex]
[tex]\dfrac{a}{b}=1.5[/tex]
Therefore, the value of [tex]\dfrac{a}{b}[/tex] is [tex]1.5[/tex].
Learn more:
https://brainly.com/question/25187489
11. Mark builds 3 Lego towers. Each tower is made of 5 square layers
which have a width and length of 5 Lego pieces. Suddenly, Mark's little
brother breaks one and runs off with 45 pieces. Use the expression to show
how many pieces Mark is left with.
Answer:
Step-by-step explanation:
(Graph attached)
Please show work
What is the average speed of the runner at 4 seconds
Think about the proportion and the cross products for this problem:
Shelley sold one customer 5 peanut butter biscuits for $3. She sold another customer 7 beef treats for $4.20.
Answer:
The ratios are equivalent
The ratios are a proportion
(3.1 · 10² ) (2 · 10³) Write in Scientific Notation.
Answer:6.03*10^3
Step-by-step explanation:
(3.1 *10^2)(2*10^3)
2*10^3=20*10^2
(3.1*10^2)(20*10^2)
(60.3*10^2)=
6.03*10^3
Solve for x in the equation x squared minus 10 x + 25 = 35
Answer:
x=1
Step-by-step explanation:
10x+25=35
10x+25=35
-25 -25
10x=10
10 divided by 10 is 1
A well is 20ft deep. A snail at the bottom of the well climbs upto 4ft each day and slips back 2ft every night.how many days the snail to reach the too
Answer:
10 days
Step-by-step explanation:
4ft-2ft= so the snail moves 2ft every 24hrs
20ft÷2ft= takes the snail 10 days
Answer:
Defining Variables:
Let the number of days the snail takes to climb = x days
Total distance climbed in x days = x*4
Total distance slipped in x days = 2*x
Solving for the number of days:
Since the total distance the snail climbs is 20ft (depth of well)
The total distance climbed - total distance slipped = 20
replacing the variables
4x - 2x = 20
2x = 20
x = 10
Therefore, it will take the snail 10 days to reach the top
Identify the independent and dependent variables: The cost to gift wrap an order is $ 3 plus $1 per item wrapped
Answer: Indep. is: $3 and the dependent is $1
Step-by-step explanation:
Every item is $3, but if you add more then you also add $1
Simplify the expressions by distributing and combining like terms 5/8x-2(7-1/4x)
A couch and coffee table cost a total of $1156. The cost of the couch is three times the cost of the coffee table find the cost of each item.
Answer:
The couch is 867 and the coffee table is 289
Step-by-step explanation:
The question states that the couch is 3 times the cost of the coffee table. This means this includes the cost of the couch and the coffee table. So I would do 1156= x+3x, which equals 1156=4x. X is the cost of the coffee table. 3x is the cost of the couch. I'd divide 1156 by 4 and get 289. Now you take 289 and plug it in the equation, 1156=x+3x. X would equal to 289, and 3x would equal to 867.