You can use the same technique I showed in another one of your questions (24467305).
Partial fractions:
[tex]\dfrac2{(2n-1)(2n+1)} = \dfrac a{2n-1} + \dfrac b{2n+1} \\\\ \implies 2 = a(2n+1) + b(2n-1) = (2a+2b)n + a- b \\\\ \implies \begin{cases}2a+2b=0 \\ a-b = 2\end{cases} \implies a = 1, b=-1[/tex]
Then we have a telescoping sum,
[tex]S = \displaystyle \sum_{k=1}^n \frac 2{(2k-1)(2k+1)} \\\\ S = \sum_{k=1}^n \left(\frac1{2k-1} - \frac1{2k+1}\right) \\\\ S = 1-\frac13 + \frac13 - \frac15 + \cdots +\frac1{2n-3}-\frac1{2n-1}+\frac1{2n-1}-\frac1{2n+1} \\\\ S = 1 - \frac1{2n+1} = \boxed{\frac{2n}{2n+1}}[/tex]
(And in case you were actually interested in an infinite sum, we can see that this converges to 1 as n goes to ∞.)
Escribe en forma radical las siguientes potencias de exponente fraccionario.
Answer:
[tex] {49}^{ \frac{1}{2} } = \sqrt{49} = 7[/tex]
[tex] {2}^{ \frac{2}{3} } = \sqrt[3]{( {2})^{2} } = \sqrt[3]{4} = 1.5874[/tex]
I hope I helped you^_^
How many 3/4 ounce spoonfuls of sugar
are in a 5 1/2 ounce bowl?
show work please
Answer: [tex]\frac{22}{3}[/tex]
Step-by-step explanation: Divide
[tex]5\frac{1}{2}\div \frac{3}{4}[/tex]
Step 1: Convert the mixed number to improper fraction
[tex]5 \frac{1}{2} =\frac{11}{2}[/tex]
[tex]= \frac{11}{2}\div \frac{3}{4}[/tex]
Step 2: Reciprocal
[tex]\frac{11}{2}\times \frac{4}{3}[/tex]
Step 3: Divide the common factors
[tex]4 \div 2 = 2\\\\=\frac{11}{1}\times \frac{2}{3}[/tex]
Step 4: Multiply
[tex]\frac{11\times \:2}{1\times \:3}\\\\=\frac{22}{3}[/tex]
2) Jessica went to the mall. She paid $14.57 on shorts and $10.20 on pants
with two $20 bills. She went to 2 shops. How much money did Jessica get in change?
Answer:
15.23
Step-by-step explanation:
First, you add 14.57 with 10.20 which equals 24.77.
then you minus 24.77 from 40 which equals 15.23!
hope this helps you :D
Hello :D
To do this you need to do:
$20 x 2 = $40.00
$14.57 + $10.20 = $24.77
$40.00 - $24.77 = $15.23
The answer is $15.23. I hope this helps :)
Jill can't wait to make a chocolate chip zucchini bread with zucchini from her garden. Her recipe calls for 8 ounces of chocolate chip per loaf. If she has enough zucchini to make 4 loaves of zucchini bread, how many chocolate chips does she need?
Hello!!!
Answer:
3 3/8
Have a nice day!!!
Convert:
220 cm into m
72 kg into gm
1 day into sec
You worked 48 hours. Anything over 40 hours is time-and-a-half. You made $789.52. What is your
hourly rate?
Answer:
$18.95
Step-by-step explanation:
Answer:
If you have nonexempt employees, you have to pay them overtime, or time and a half, for any hours worked over 40 during the workweek.
a) f(4) =
8(1) =
b) Estimate the f intercepts?
c) Estimate the g intercepts?
d) For what value of x is f(x) = g(x)?
e) For what value of x is f(x) < g(x)?
Answer:
following. Write your answer as fraction in lowest terms. (f + g)(-5) = d. [4 pt.] ...
10 pages·
Step-by-step explanation:
marke me as brainst plz
Horse races are often measured in furlongs. Oakland Park is 6 furlongs. How long is that in miles? (1 furlong = 1/8 mile)
A. 48 Miles
B. 1.33333 Miles
C. 0.75 Miles
D. 2 Miles
Which is true about the polynomial 3x - 4 + 5x2?
A
It is a binomial with a degree of 2.
B
It is a trinomial with a degree of 2.
C
It is a binomial with a degree of 3.
D
It is a trinomial with a degree of 3.
Answer:
b its a trinominal with a degree of 2
The polynomial, 3x - 4 + 5x², is a trinomial with a degree of 2.
What is a polynomial?An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.
Given:
We have the polynomial,
3x - 4 + 5x²
To find the degree of a polynomial:
We take the highest powered variable, and the order of that variable is equal to the degree of the polynomial.
Here, the highest power is 2.
So, the degree is 2.
And the polynomial has three terms.
So, the polynomial is trinomial.
Therefore, it is a trinomial with a degree of 2.
To learn more about the Polynomials;
brainly.com/question/11536910
#SPJ5
E
F G
H
+_+
7
TI
の
3
4
5
What letter is located at approximately V22
Answer:
I'm not completely sure but I think it's A E
The front of a house is in the shape of a hexagon with two right angles.
The other four angles are all the same size.
Calculate the size of one of these angles.
Answer: 135°
Step-by-step explanation:
The sum of the interiors angles of the hexagone is (6-2)*180°=720°
Two angles are right: 2*90°=180°
The sum of the four angles is 720°-180°=540°
Each angle is 540°/4= 135°
what are the two consecutive numbers when squared differ by 75
Answer:
8 and 9
hope it helps pls mark me as the brainliest and follow me:)
Pls help I’m really confused How are vertical
angles and adjacent
angles different?
What are
complimentary and
supplementary
angles?
What’s the rate of change of the table above?
A) -1/3
B) 1/2
C) -1/4
D) 1/5
answer is option D
because you can divide them like
[tex] \frac{2}{10} = \frac{1}{5} \\ \\ \frac{4}{20} = \frac{1}{5} \\ \\ \frac{6}{30} = \frac{1}{5} \\ \\ \frac{8}{40} = \frac{1}{5} [/tex]
so the option is D
please mark this answer as brainlist
Explain what the vertical line test is and how it is used.
Answer:
The vertical line test is a way to figure out if a figure on a graph is a function. Imagine a vertical line goes across the graph from left to right. If the line touches two points at the same time, it's not a function.
Answer:
Sample Response: The vertical line test is a way to determine if a relation is a function. This test determines if one input has exactly one output on the graph. If any vertical line passes through more than one point on the graph, then the relation is not a function because two different outputs have the same input.
D =m/v
solve for m
(it said it had to be at least 20 characters so… ur mom)
Answer:
m=D x V
or M=DV
Step-by-step explanation:
first step is to cross multiply so that M can stand alone
help please (picture)
Explanation:
The scale factor 3/2 is the same as 1.5
We multiply this by the perimeter 18 to get 18*1.5 = 27
The perimeter is 27 units.
This trick works because we're multiplying each length by 1.5, so ultimately the perimeter is multiplied by this same scale factor.
The product of a number and ten is equal to ninety
Step-by-step explanation:
[tex]take \: the \: number \: = x \\ then \: x \times 10 = 90 \\ x = \frac{90}{10 } = 9 \\ thank \: you[/tex]
What are the coordinates of the vertex of the function f(x) = x2 – 12x + 5?
ООО
(6, 31)
(-6, 31)
(6, -31)
(-6, -31)
Answer:
What are the coordinates of the vertex of the function f(x) = x2 − 12x + 5?
(6, 31) (−6, 31) (6, −31) <<<CORRECT (−6, −31)
Step-by-step explanation:
November 2021 EDGE
The cost of 6 pounds of almonds is $23.28. What is the constant of proportionality that relates y, the cost in dollars, to x, the number of pounds?
Answer:
3.88
Step-by-step explanation:
y = 23.28/6 x
y = 3.88 x
so, the constant of proportionality is 3.88
find the maximum number of clildren whom 24 sweters and 36 trowser can be equally divided
Answer: 12 people each person would get 2 sweethers and 3 trowser
Step-by-step explanation:
the GCF of 24 and 36 is 12 then 24/12=2 and 36/12=3
How many such subsets?
Step-by-step explanation:
rational numbers, irrational numbers, integers, whole numbers, and natural numbers.there are five subset
what number can go into 2470,121 and 45
Answer:
Step-by-step explanation:
All of these numbers can be divided by 2, 3, 5, 7, 11, 13...
There is no whole number if you want to divide each number.
121 only goes into 1, 11, and 121. No other numbers have 11
45/2 = 22.5
45/3 = 15
45/5 = 9
2470/2 = 1235
2470/3 = 823.33333...
2470/5 = 494
121/2 = 60.5
121/3 = 40.33333...
121/5 = 24.2
Pretty please help!!! Will mark brainiest!!
One day, the ticket-selling employees forgot to count how many people came to the park. Using the inverse function (3x - 84 = y) and the number of popcorn bags sold, calculate the approximate park attendance for the following:
a. 30 bags of popcorn
b. 130 bags of popcorn
c. 520 bags of popcorn
Answer:
Step-by-step explanation:
We calculate terms in parentheses: +(3x-84-()), so:
3x-84-()
We add all the numbers together, and all the variables
3x
Back to the equation:
+(3x)
x=0/3
x=0
Answer: b
Step-by-step explanation: y=3x−84.
y=3x−84
Find the perimeter of the shape in terms of X
Please help me
Answer:
10x + 21
Step-by-step explanation:
5x + 2x-9 + 3x + 30 = 10x + 21
please help I need football
Answer:
9x^2 sqrt2x ahhhh
the sum of 5/6 and three times a number is equal to 1/2 subtracted from four times the number. Find the number
Answer:
n = 4/3
Step-by-step explanation:
5/6 + 3n = 4n - 1/2
5/6 + 1/2 = 4n - 3n
4/3 = n
Year 8 maths Finding the rule using a table of values
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, a) and (x₂, y₂ ) = (1, b)
m = [tex]\frac{b-a}{1-0}[/tex] = b - a
y = (b - a)x + c
(a)
with coefficient of x being b - a
(b)
The line crosses the y- axis at (0, a ) ⇒ c = a
y = (b - a)x + a
PLEASE HELP I WILL MARK YOU BRAINLIEST
Last year, the girl's basketball team had 20 ninth-grade students and 10 sixth-grade students. what was the ratio of sixth-grade students to total students on the team
10:30
please mark me brainliest
Evaluate x2 – 4x – 5, when x = -4
Answer:
3
Step-by-step explanation:
-8+16-5
Answer:
13Step-by-step explanation:
x2 - 4x - 5
4×2 - 4×4 - 5
8 - 16 - 5
8 - 21 = - 13
