Answer:
you have to move it to an adjacent side. hope this helped have a nice day:)
If k‐th term of a sequence is ak = ( -1) ^k(2-k)k/2k-1
,what is its next term ak+1 when k is even?
Given:
kth term of a sequence is
[tex]a_k=\dfrac{(-1)^k(2-k)k}{2k-1}[/tex]
To find:
The next term [tex]a_{k+1}[/tex] when k is even.
Solution:
We have,
[tex]a_k=\dfrac{(-1)^k(2-k)k}{2k-1}[/tex]
Put k=k+1, to get the next term.
[tex]a_{k+1}=\dfrac{(-1)^{k+1}(2-(k+1))(k+1)}{2(k+1)-1}[/tex]
If k is even, then k+1 must be odd and odd power of -1 gives -1.
[tex]a_{k+1}=\dfrac{(-1)(2-k-1)(k+1)}{2k+2-1}[/tex]
[tex]a_{k+1}=\dfrac{(-1)(1-k)(1+k)}{2k+1}[/tex]
[tex]a_{k+1}=-\dfrac{1^2-k^2}{2k+1}[/tex] [tex][\because (a-b)(a+b)=a^2-b^2][/tex]
[tex]a_{k+1}=-\dfrac{1-k^2}{2k+1}[/tex]
Therefore, the next term is [tex]a_{k+1}=-\dfrac{1-k^2}{2k+1}[/tex].
Select the correct answer.
Which expression represents a difference of squares?
A.
81 − 49y2
B.
t2 + 100
C.
4x2 − 16x
D.
25k − 64
Answer:
The answer is A I'm not 100 percent sure
Answer:
A.
81 − 49y2
Step-by-step explanation:
edmentum answer---
Movie tickets are $4.00 for children and $8.00 for adults. The total amount of ticket sales in one night was $1,176. There was 172 tickets sold.
Define the variables used in this example.
Your answer:
m= money
t=tickets
c=children
a= adults
t= tickets
c=children
Answer:
122 tickets were sold for adults and the rest is for children.
Step-by-step explanation:
Rodrigo is tracking the number of visitors at two parks. He created these functions to model the total number of people visiting each park, where x is the number of hours after sunrise.
West Park: A(X) = -0.68x^3 + 7.05x^2 + 3.25x
East Park: B(x) = -2.08x^2 +22x+ 5
Which function models the total number of visitors at both parks each hour after sunrise?
A T(x) = -0.68x^3 + 9.13x^2 + 22x + 8.25
B. T(x) = -0.68x^3 + 4.97x^2 + 25.25x + 5
C. T(x) = -2.76x^3 + 7.05x^2 + 25.25x + 5
D. T(x) = -2.76x^3 + 29.05x^2 + 8.25
Answer:
The function that models the total number of visitors at both parks each hour after sunrise: [tex]\mathbf{T(x) = -0.68x^3 + 4.97x^2 + 25.25x + 5}[/tex]
Option B is correct.
Step-by-step explanation:
Function for West Park: A(X) = [tex]-0.68x^3 + 7.05x^2 + 3.25x[/tex]
Function for East Park: B(x) = [tex]-2.08x^2 +22x+ 5[/tex]
We need to find the function that models the total number of visitors at both parks each hour after sunrise?
For finding total number of visitors we need to sum functions of A(X) and B(X) to get T(X)
So, we have
[tex]T(X)=A(X)+B(X)\\T(X)=-0.68x^3 + 7.05x^2 + 3.25x+(-2.08x^2 +22x+ 5)\\T(X)=-0.68x^3 + 7.05x^2 + 3.25x-2.08x^2 +22x+ 5\\Combining like terms\\T(X)=-0.68x^3+7.05x^2-2.08x^2+3.25x+22x+5\\T(X)=-0.68x^3+4.97x^2+25.25x+5[/tex]
So, function that models the total number of visitors at both parks each hour after sunrise: [tex]\mathbf{T(x) = -0.68x^3 + 4.97x^2 + 25.25x + 5}[/tex]
Option B is correct.
Answer: For plato family
B. T(x) = -0.68x^3 + 4.97x^2 + 25.25x + 5
Step-by-step explanation:
I just took the test
If f(x) = 2x^2-4x-3
and g)-2x^2-16. find f(x) + g(X)
4X^24X +13
4XN2-4x-13
4X- 19
4X^2- 4x -19
Answer:
-4x - 19
General Formulas and Concepts:
Algebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
f(x) = 2x² - 4x - 3
g(x) = -2x² - 16
Step 2: Find f(x) + g(x)
Substitute: f(x) + g(x) = 2x² - 4x - 3 - 2x² - 16Combine like terms (x²): f(x) + g(x) = -4x - 3 - 16Combine like terms (Z): f(x) + g(x) = -4x - 19A customer purchased a total of 16 washcloths and towels Each washcloth cost $10.50 and each towel cost $15.00. The customer
spent $226,50 all together.
How many washcloths did the customer buy?
Answer:
3
Step-by-step explanation:
15*13=195
10.5*3=31.5
195+31.5=226.50
A 3-quart container of disinfectant costs $11.76. What is the price per cup?
Answer:
$2.94 per cup
Step-by-step explanation:
4 cups in a quart. 11.76÷4=2.94
what is the slope of the line through (-1, 2) and (-3, -2)
A. -1/2
B. -2
C. 2
D. 1/2
2
Step-by-step explanation:
-2 -2/ -3+1 = -4/-2 = 2
you just have to use the slope formula
Answer:
C. 2
The slope is 4/2 which is simplified to 2
What is the equation in point-slope form of the line passing through (-1,3) and (1, 7)?
O a
y - 7 = 4(x - 1)
Ob
y-7 = 2(x - 1)
ос
y- 3 = 2(x - 1)
Od
y- 3 = 4(x + 1)
Answer:
y - 3 = 2(x+1)Step-by-step explanation:
The equation of the line in point slope form is expressed as;
y - y0 = m(x-x0)
m is the slope
(x0, y0) is a point on the line
Get the slope;
Given the points (-1,3) and (1, 7)
m = y2-y1/x2-x1
m = 7-3/1+1
m = 4/2
m = 2
Substitute the point m = 2 and the point (-1, 3) into the formula above as shown;
y - y0 = m(x-x0)
y - 3 = 2(x-(-1))
y - 3 = 2(x+1)
Hence the required equation is y - 3 = 2(x+1)
Suri decided to get braces to straighten her teeth. The cost of the treatment plan was $5,000 which Suri was able to pay off over time. Each month Suri paid $125 until her account balance was $0 Which of the
following equations represents the account balance B (m) after m months?
A: B(m) 5000m- 40
B: B(m)-4Om + 5000
C: B(m) = 5000m- 125
D: B(m) =-125m + 5000
Answer:
d
Step-by-step explanation:
you have to divide 125 from 5000 so i believe i am right but if im not then im sorry
on average, how many times must a 6-sided die be rolled until the sequence 65 appears (i.e., a 6 followed by a 5)?
A 6-sided die must be rolled 36 times before sequence 65 appears. (i.e., a 6 followed by a 5)
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
Let E as the expected rolls, and E₆ as the expected rolls given we rolled a 6.
Given that we rolled a 6, there is a 1/6 chance that two rolls will be enough, a 4/6 chance that we didn't roll a 5 or 6 and so spent two rolls, and a 1/6 chance that we rolled a 6 and only wasted one roll:
E₆ = (1/6)2 + (4/6)(E+2) + (1/6)(E₆ + 1)
Rearrange the terms and apply arithmetics operations
E₆ = (4E + 11)/5
According to the question,
We have 5/6 that we rolled [1,5]
So we wasted a roll, and 1/6 that we rolled a 6,
E = (1/6)×E₆ + (5/6)×(E+1)
Substitute the value of E₆ in the equation,
E = (1/30)×(4E+11) + (5/6)×(E+1)
E = 36
Hence, a 6-sided die must be rolled 36 times before sequence 65 appears.
Learn more about probability here:
brainly.com/question/11234923
#SPJ4
HELP ASAPPPP THANK YOU
Which is taller, the Burj Khalifa or a stack of the money it cost to build the Burj Khalifa
The structure known as the Burj Khalifa is taller than a stack of the money it took to construct it.
What is Burj Khalifa?The Burj Khalifa is an iconic skyscraper in Dubai, United Arab Emirates. With a height of 828 meters (2,716 ft), it is now the highest structure in the world.
The Burj Khalifa's construction began in 2004 and was finished in 2009. The skyscraper was constructed by the architectural firm Skidmore, Owings & Merrill and was mostly funded by the government of Dubai.
The Burj Khalifa stands 828 meters (2,716 ft) tall. According to sources, the overall cost of constructing the Burj Khalifa was around $1.5 billion USD. A stack of $1.5 billion USD would be roughly 165 metres (541 feet) tall if the typical US $100 bill has a thickness of 0.11 millimeters.
Therefore, the structure known as the Burj Khalifa is taller than a stack of the money it took to construct it.
Learn more about Burj Khalifa, here:
https://brainly.com/question/838196
#SPJ2
1. Miguel is taking a quiz that contains 5 questions.
Each question is worth 20 points, with no partial
credit. If x represents the number of questions
answered correctly and y represents the number
of points awarded, this function can be
represented by the equation y = 20x.
What is a reasonable domain for this function?
A. x ≤ 5
B. 0≤x≤5
C. {0, 1, 2, 3, 4, 5}
D. {0, 20, 40, 60, 80, 100}
Answer:
C. {0, 1, 2, 3, 4, 5}
Step-by-step explanation:
There are 6 possible outcomes: 0 points (0 questions correct), 20 points (1 question correct), 40 points (2 questions correct), 60 points (3 questions correct), 80 points (4 questions correct) and 100 points (5 questions correct). The number of points is equal to the number of questions answered times 20. The x value can only be equal to the possible number of questions answered correctly: 0, 1, 2, 3, 4, 5.
A is incorrect because it includes negative numbers and decimals. Decimal values aren't possible because no partial credit is given for the questions. Negative numbers are incorrect because you cannot answer negative questions.
B is incorrect because it includes fractions.
D is incorrect because it lists the y values (what 20x is equal to) instead of the x values.
i need help with this can you?
Answer:
A and D
Step-by-step explanation:
pls make me brainliest
Answer:
Step-by-step explanation: d , c
The length of a rectangular field is three times its width.
a) Write an expression for the perimeter of the field.
b) Find the perimeter if the field is 300 m wide.
c) Find the length and width of the field if the perimeter is 1600 m.
Answer:
a) 3×L = width
b) 300 + 100 × 2 = 800
c) length = 600 & width = 200
Who ever gets the corrects answer will get brainleyist.
I AM STUCK AND NEED HELP will give 30 points
A system of equations is graphed on the coordinate plane.
2y=3x−1
4y=6x−2
Select the number of solutions for the system of equations from the drop-down menu.
infinite solutions
one solution
or
no solutions
Explanation:
Despite there only being one line shown, there are actually two lines here. One just happens to be directly on top of the other.
We can see this by noting that 2y = 3x-1 turns into 4y = 6x-2 when we multiply both sides by 2. Multiplying both sides by the same number keeps the same equation, so that's why we have identical graphs.
The two identical graphs intersect each other infinitely many times, leading to infinitely many solutions. All solutions are (x,y) points on the blue line. Two such solutions are (1,1) and (3,4). All solutions are of the form [tex]\left(x, \frac{3x-1}{2}\right)[/tex]
A man bought a calf for $200 and sold it for
$250. What was his gain as a percentage of the
cost price?
Answer:
Step-by-step explanation:
250 is 125% of 200
So,
He gained 25% in profit
Based on the information given his gain as a percentage of the cost price is 25%.
Using this formula
Cost price percentage=Selling price-Cost price/Cost price
Where:
Selling price=$250
Cost price=$200
Let plug in the formula
Cost price percentage=$250-$200/$200
Cost price percentage=$50/200
Cost price percentage=0.25×100
Cost price percentage=25%
Inconclusion his gain as a percentage of the cost price is 25%.
Learn more here:https://brainly.com/question/18522227
50-50+50-25÷3-2+9×5 ~2~3~5 ×0
Answer:
The answer for this mathematical problem is 119/3.
Step-by-step explanation:
Your alternative answers are the following:
39 2/339.6Hope this helps and if you could mark me as brainliest. Thanks!
Answer:
84.6666666667
Step-by-step explanation:
Will mark Brainliest just answer the following questions
Answer:
domain: infinity to infinity
range: (-4, infinity)
increasing: (5, infinity)
decreasing: (2, 5)
maximum: na
minimum: y=-4
f(2)= 10
f(x)=-4, x= -8
Step-by-step explanation:
sorry if any of these are incorrect, I've learned to answer 3 different ways from 3 different teachers
Answer true or false for the numbers 18 and 30.
A common factor is 9.
O True
O False
Answer:
false
Step-by-step explanation:
9 does not go into 30
Three students were working on 630,000÷700 in math class.
a. Desiree finds the quotient is 9,000 and Micah finds the quotient is 900.
Determine which student found the correct quotient.
Question 2
Explain your thinking.
Question 3
b. Delilah finds her answer is 90, but she copied the expression incorrectly from the board. If her reasoning and answer for the expression she copied are correct, what expression might she have written?
Step-by-step explanation:
a) Desiree is correct 630000÷70=900
Which answer choice do I choose
Answer:
g = 2d - 8
g + d = 46
Step-by-step explanation:
It is given that the guitarist wrote eight less than twice as many songs as the drummer did, hence one would multiply by the number of songs the drummer wrote by two, and subtract eight.
It is also given that the combined total of songs that they both wrote is 46, hence one would add up the songs that they wrote, and attain a result fo 46.
Answer:
c
Step-by-step explanation:
Tim weighting this bc it said
8–2(x + 10) = 4.-6
What is the value of x?
Jessie deposited $6,000 in a savings account. The amount in the account after 1,2,3 years is shown below. $6,240, $6,480, $6,720
Which expression represents the total amount in her account at the end of the t years
Answer: 6000+240t I think
Step-by-step explanation:
How many mililiters is 3.78 liters
Answer:
3780
Step-by-step explanation:
Whats the answer giving brainliest:)(: .........
Answer:
D. x-91
Step-by-step explanation:
x will stand for the unknown number.
x minus 91 is the word form of x-91, so this is the answer.
How do you find the slope on a graph?
Answer:
I am unsure of the specifics, I always used slope-intercept form.
Step-by-step explanation:
If there is a specific question you are struggling with try entering the problem in m-a-t-h-w-a-y. This always helps me.
What is m∠PQR? please help
Answer:
127
Step-by-step explanation:
The angles add up to 180° since they are on a straight line. Find 3x - 5.
3x - 5 + x + 1 = 180
4x - 4 = 180
4x = 180 - 4
= 176
x = 176 ÷ 4
x = 44
3x - 5 = 3(44) - 5
= 132 - 5
= 127
Answer:
Step-by-step explanation:
<PQR=3X-5