p > −5 is the values of p in this series convergent. The given series is σn = 1 ∞ (−1)n−1/nP+5P.
The series in question is a type of alternating series, given by Σ((-1)^(n-1)/n^p) from n=1 to infinity. To determine the values of p for which the series converges, we can apply the Alternating Series Test. This test states that a series converges if:
1. The terms are decreasing in absolute value (i.e., |a_n+1| <= |a_n| for all n)
2. The limit as n approaches infinity of the terms is 0 (i.e., lim(n->∞) |a_n| = 0)
For this series, the terms are a_n = (-1)^(n-1)/n^p. First, let's check if the terms are decreasing:
|a_n+1| = |(-1)^n/(n+1)^p| <= |(-1)^(n-1)/n^p| = |a_n|
Since p > 0, this inequality holds true as the denominators (n^p) increase as n increases.
Now, let's check the limit:
lim(n->∞) |(-1)^(n-1)/n^p| = lim(n->∞) |1/n^p| = 0
This limit holds true if p > 0, as the denominator grows much faster than the numerator in this case.
So, based on the Alternating Series Test, the series converges for all values of p > 0.
The given series is σn = 1 ∞ (−1)n−1/nP+5P. We have to find out for which values of p, the given series is convergent. Using the Alternating Series Test, we can determine whether the series converges or not. The conditions for the Alternating Series Test are as follows: The alternating series σn = 1 ∞ (−1)n−1bn is convergent if(bn) is a positive, non-increasing sequence and limn→∞bn=0.
From the given series, bn = 1/nP+5P > 0 for all n ≥ 1.If we differentiate bn with respect to p, we getdbn/dp
= [(−1/nP+5P ) (−n/(P+5))−(−1/nP+5P ) (−5n/(P+5))] / (P+5)²
= (5/n(P+5)²) > 0 for all n ≥ 1
Therefore, bn is an increasing sequence with respect to p.
For p > −5, bn → 0 as n → ∞. Thus, we can apply the Alternating Series Test for p > −5.For p ≤ −5, the series is divergent as the sequence bn is not non-increasing. For p > 0, bn is an increasing sequence. Therefore, the series is divergent. Thus, the given series is convergent for p > −5 and divergent for p ≤ −5 and p > 0. :
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just please help me I honestly can’t even
Answer:
im pretty sure they are both 5. its a ratio of 5 to 1
Pleassse help with this
Help me with a question?
Answer:
B
Step-by-step explanation:
You can eliminate A and D.
A is vertical, which means it has an undefined slope.
D is a positive slope. If you follow the line from left to right it goes up hill.
B has a slope of -2. Find to points on line B, (-3, 2) and (-2, 0). If you move from (-3, 2) to (-2, 0) using rise/run you will get a -2/1.
Help me please answer thanks
Find the slope of each line
Answer:
The slope of the blue line is undefined
Step-by-step explanation:
This is because a vertical line cannot have a numerical value for it's slope. Also, there is no y-intercept
A ceiling fan has 19-inch blades(so the radius of the circular fan is 19 inches). Suppose the dan turns at a rate of 69 revolutions per minute.
a) Find angular speed of the fan in radians per minute
b) Find the linear speed of the tip of a blade in inches per minute
Angular speed of the fan in radians per minute is 421 (crad /min) , The linear speed of the tip of a blade in inches per minute is
What the linear speed and angular speed?Suppose the dan turns at a rate of 69 revolutions per minute.
Angular speed of the fan in radians per minute is
According to the problem
w = 2zn
(a) w = 2z * 67
= 134z
≈ 421 crad /min)
Angular speed of the fan in radians per minute is 421 (crad /min)
The linear speed of the tip of a blade in inches per minute is
(b) v = 2z * 19 * 67
{ v = 2zrn}
=2546z
7988(cin / m * in)
The linear speed of the tip of a blade in inches per minute is 7988(cin / m * in)
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Anyone know the answer?
Answer:
?
Step-by-step explanation:
The graph shows the relationship between miles and kilometres.
a)
Convert 20 miles
to km.
b)
Convert 64 km
to miles.
By cross multiplication, we have found the following results:
a) 20 miles are equal to 32.180 kilometers.
b) 64 kilometers are equal to 39.776 miles.
How to convert a distance value into another distance unit
In this problem we must convert a given value in a unit into its equivalent quantity in another unit of same kind. We must convert miles to kilometers and viceversa by using conversion rates and cross multiplication.
First, we must convert a distance of 20 miles to kilometers by cross multiplication:
x = 20 mi × (1.609 km / 1 mi)
x = 32.180 km
Second, we must convert a distance of 64 kilometers to miles by cross multiplication:
x = 64 km × (1 mi / 1.609 km)
x = 39.776 mi
RemarkThe graph is missing, but this question can resolved by using conversion rates, that is, a mile equal 1.609 kilometers.
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Answer:
here is the answer⬇️
I need help with this question
The length of the legs of the right triangle are 2.83 units.
How to find the side of a right triangle?A right tangle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.
Therefore, the legs of the triangle can be found using trigonometric ratios.
Hence,
sin 45 = opposite / hypotenuse
sin 45 = a / 4
cross multiply
a = 4 × 0.70710678118
a = 2.83 units
Therefore,
cos 45 = b / 4
cross multiply
b = 0.70710678118 × 4
b = 2.82842712475
b = 2.83 units
Therefore, the legs are 2,83 units
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Carry the 20×09 adjustments to 20×10 to update the opening balances (page 6). 4.Find 20×10 adjusting entries and other required balances and entries for 20×10 (page 6 ). Adjustment entries in 20X10: Land adjusting entry carried from last year to update the opening balances in 20×10. 1) Adjustment for prior year end's accumulated depreciation, income tax payable and retained earnings. Carried in 20×10 to update 20×09 opening balances. 2) Cepreciation adjusting entry in 20×10. 3) Depreciation adjusting entry in 20×10. Plugged in number to update the Retained Earnings as at December 31, 20×10. \begin{tabular}{|l|l|} \hline Credit adjustment in 20×10 Income Statement from entry (3) above : & $750,000 \\ \hline Debit adjustment in 20×10 Income Statement from entry (4) above: & $225,000 \\ \hline Plugged in number to RE to show the effect of adjustments on net income : & $525,000 \\ \hline \end{tabular} Cash Accumulated depreciation of the equipment sold Cost of the equipment Gain from sale of the equipment MC TRAVEL INC. Balance Sheet December 31, \$
In 20×10, the adjustment entries include updating opening balances for prior year's accumulated depreciation, income tax payable, and retained earnings. There are also two depreciation adjusting entries. The credit adjustment in the Income Statement is $750,000, and the debit adjustment is $225,000 to update retained earnings.
The adjustment entries for 20×10 include the following:
1) Adjustment for prior year end's accumulated depreciation, income tax payable, and retained earnings carried in 20×10 to update the 20×09 opening balances.
2) Depreciation adjusting entry in 20×10.
3) Depreciation adjusting entry in 20×10 to update the retained earnings as at December 31, 20×10.
The credit adjustment in the 20×10 Income Statement from entry (3) is $750,000, and the debit adjustment from entry (4) is $225,000. A plugged-in number of $525,000 is used to update the retained earnings and show the effect of adjustments on net income.
The adjustment entries in 20×10 are necessary to update the opening balances from the previous year and reflect the changes in various accounts. The first entry adjusts for the accumulated depreciation, income tax payable, and retained earnings from the prior year to update the opening balances in 20×10. The second and third entries involve depreciation adjusting entries for 20×10. These entries account for the depreciation expense incurred during the year and update the retained earnings accordingly.
The credit adjustment in the 20×10 Income Statement from entry (3) represents the increase in income due to the adjustments made. The debit adjustment from entry (4) represents the expenses incurred. A plugged-in number of $525,000 is used to update the retained earnings, reflecting the overall effect of the adjustments on net income.
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Rafael plays a trivia game with 2 rounds. In the first round, he earns 5 points for answering a question correctly and loses 3 points for answering a question incorrectly. In the second round, he earns 10 póints for answering a question correctly and loses 4 points for answering a question incorrectly. The equations below represent Rafael's performance in each round. 5x– 3y = 22 10x – 4y= 46 Which condition must be true to make the pair of equations a system of equations?
a He answers a total of 15 questions correctly.
BHe answers the same number of questions correctly as he answers incorrectly in each round.
C He answers twice as many questions correctly in the second round as he answers correctly in the first round.
DHe answers the same number of questions correctly in both rounds and the same number of questions incorrectly in both rounds
Answer:
D. He answers the same number of questions correctly in both rounds and the same number of questions incorrectly in both rounds.
Step-by-step explanation:
In the first equation he earns 5 points and loses 3 points. The value of one question is 5 points, and the value of losing one question is 3 points. The same goes for the second equation except the fact that its 10 points and 4 points lost instead.
12345678910112131415161718192021212223242526272829303132333435363738394041424344454647484950
Answer: what what! Confused
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
Which of the following is an example of linear growth?
A. A baby gains 0.5% of its weight each week
B. An investment of $100 at an annual interest rate of 0.75%, compounded monthly
c. Depositing $5.00 in a savings account each week for t weeks
D. A bacterial culture doubles in size each day
Answer:
c. Depositing $5.00 in a savings account each week for t weeks
Step-by-step explanation:
Depositing $5.00 in a savings account each week for t weeks will be the correct example of linear growth.
What is a linear function?A linear function is a function in which any two quantity varies linearly with respect to each other.
In another word, a linear function is that function whose slope will be constant and will plot a straight line.
A certain kind of relationship called a function binds inputs to essentially one output.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
The linear function will be that where the value of the next period can be calculated
For example y =2x here we can calculate y by just x
In given option (C) we can see that the difference between any two consecutive months can be calculated next month.
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180(n-2) Divided by n
Answer:
180n−360/n
Step-by-step explanation:
all you do is change the (n-2) into 360 and you have your answer!
also you multiply the 180 and n
plz mark me brainliest!
Jesse needs 8 1/4 feet of chain to complete an outdoor project. He has two small pieces measuring 2 1/8 feet and 3 3/4 feet. How many
feet of chain does Jesse need to purchase?
Answer:
2 3/8
Step-by-step explanation:
You add 2 1/8 and 3 3/4 together= 5 7/8
Then subtract 5 7/8 from 8 1/4= 2 3/8
The length in feet of chain that Jesse needs to purchase is 2 3/8 feet.
What is Addition?Addition can be defined as the process of adding two numbers such that the result is the combined value of the two numbers.
Given that Jesse needs 8 1/4 feet of chain to complete an outdoor project. Also, He has two small pieces measuring 2 1/8 feet and 3 3/4 feet. Therefore, we can write,
The length of the chain that Jesse needs = 8 1/4 feet
= 8 + 1/4 feet
= 8.25 feet
The length of the first small chain piece = 2 1/8 feet
= 2 + (1/8) feet
= 2.125 feet
The length of the second small chain piece = 3 3/4 feet
= 3 + (3/4) feet
= 3.75 feet
Now, the length of the chain that Jesse needs to buy is,
Length of the chain that Jesse needs = Total length of chain needed - length of the first small chains - length of the second small chains
Length of the chain that Jesse needs = 8.25 feet - 2.125 feet - 3.75 feet
= 2.375 feet
= 2 (3/8) feet
= 2 3/8 feet
Hence, the length in feet of chain that Jesse needs to purchase is 2 3/8 feet.
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whats circumference (dummy terms)
Answer:
Circumference is the distance from the one end of a circle to another
Answer:
Circumference is the length around the circle.
Step-by-step explanation:
The formula to find it would be pi times radius squared.
In a large city school system with 20 elementary schools, the school board is
considering the adoption of a new policy that would require elementary students to pass
a test in order to be promoted to the next grade. The PTA wants to find out whether
parents agree with this plan.
Listed below are some ideas proposed for gathering data. For each, indicate what kind
of sampling strategy is involved and what (if any) biases might result.
a. Put a big ad in the newspaper asking people to log their opinions on the PTA website.
b. Randomly select one of the elementary schools and contact a parent for each student
in the school.
c. Send a survey home with every student, and ask parents to fill it out and return it the
next day.
d. Randomly select 20 parents from each elementary school. Send them a survey, and
follow up with a phone call if they do not return the survey within a week.
e. Run a poll on the local TV news, asking people to dial one of two phone numbers to
indicate whether they favor or oppose the plan.
f. Hold a PTA meeting at each of the 20 elementary schools, and tally the opinions
expressed by those who attend the meetings.
g. Randomly select one class at each elementary school and contact each of those
parents.
h. Go through the district’s enrollment records, selecting every 40th parent. PTA
volunteers will go to those homes to interview the people chosen.
a. This is a voluntary response sampling strategy. Bias may occur because only those with strong opinions are likely to respond, which may not represent the views of all parents.
b. This is cluster sampling. Bias may occur if the selected school is not representative of the entire city's school system.
c. This is a census. Bias may occur if some parents do not return the survey, leading to nonresponse bias.
d. This is stratified random sampling. Bias may be minimized as each school is fairly represented, but nonresponse bias could still occur if some parents do not return the survey or respond to the phone call.
e. This is a voluntary response sampling strategy. Bias may occur as only those watching the news and with strong opinions are likely to participate, which may not represent the views of all parents.
f. This is convenience sampling. Bias may occur because only those attending the PTA meetings will have their opinions counted, which may not represent the views of all parents.
g. This is cluster sampling. Bias may occur if the selected classes are not representative of the entire city's school system.
h. This is systematic random sampling. Bias may be minimized as the sample is spread evenly throughout the enrollment records, but nonresponse bias could still occur if some parents are not available for the interview.
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7/8 - 1/4 = ? (simplfy it )
Answer:
I think the answer is 5/8 if I am doing the math right
Step-by-step explanation:
Answer:
5/8
Step-by-step explanation:
7/8 - 1/4
7/8 + 1/4
7/8 + -1/4
7/8 + -2/8
7/8 + -2/8
7 + -2/8=
5/8
hope this helped you, i didnt search up the answer on a calc lm.ao
A. The y-intercept will shift up.
B. The y-intercept will shift down.
C. The slope of the line will increase.
D. The slope of the line will decrease.
As the y-intercept increases, the graph of the line shifts up;
As the y-intercept decreases, the graph of the line shifts down
There are two perspectives on this issue. The graphical technique would be the first method.
If we merely alter the y-intercept, the slope remains unchanged;
The vertical axis is the y-axis;
A higher or lower y-intercept can be obtained by shifting the line's point of intersection with the y-axis, respectively.
Now, using algebraic reasoning, a line has the general form of the following equation:
When x = 0, the y-intercept is essentially computed as follows:
y = b:
The graph shifts up or down depending on how much we change the b value, which also affects how much the y value changes.
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Anyone mind helping out!
Answer:
x = -1
x = -9
Step-by-step explanation:
sqrt of 16 can be -4 and 4.
sqrt of (x + 5)² = x + 5
x + 5 = 4
x + 5 - 5 = 4 -5
x = -1
x + 5 = -4
x + 5 - 5 = -4 - 5
x = -9
A pair of shoes cost $16. What is the price of the shoes after a 30% discount?
Answer:
$4.80
Step-by-step explanation:
$16×30%
= $16×(30/100)
=$16×0.3
=$4.80
To solve the system of linear equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 by using the linear combination method, Henry decided that he should first multiply the first equation by –3 and then add the two equations together to eliminate the x-terms. When he did so, he also eliminated the y-terms and got the equation 0 = 0, so he thought that the system of equations must have an infinite number of solutions. To check his answer, he graphed the equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 with his graphing calculator, but he could only see one line. Why is this?
Henry could only see one line since both lines had the same slope, which means that the graphs of both equations will be identical and hence overlap.
Identify the linear equation?Linear equations in a system 3x + 2y = 4, and 9x + 6y = 12
We must demonstrate why Henry could only make out one line when he plotted the equations 3x-2y=4 and 9x-6y=12 on a graph.
Take the provided linear equation system into consideration.
3x - 2y = 4 ................(1)
9x - 6y = 12 ..................(2)
Due to the fact that equation (2) is a multiple of equation (1), 3 (3x - 2y = 4) = 9x - 6y = 12
The slopes of the provided equations are also same.
Difference with regard to x for equation (1) yields,
additional to equation (2),
With regard to x, we can differentiate to get,
The graphs of both equations will overlap since both lines have the same slope and hence have the same appearance on the graph.
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The number of days between May 20 and November 22 is: Multiple Choice O None of these O 186 O 183 O 197 O 206
The number of days between May 20 and November 22 is 182 days. Option C, 183 is the closest answer to the correct answer.
To determine the number of days between May 20 and November 22, we first need to determine the number of days in each month. Here are the days in each month of the year: January: 31 days, February: 28 days (or 29 in a leap year)March: 31 days, April: 30 days, May: 31 days, June: 30 days, July: 31 days, August: 31 days, September: 30 days, October: 31 days, November: 30 days, December: 31 days. Using the formula D = (M2 - M1) × 30 + (D2 - D1) where D is the number of days, M is the month, and D is the date, we can calculate the number of days between May 20 and November 22:D = (11 - 5) × 30 + (22 - 20)D = 6 × 30 + 2D = 180 + 2D = 182.
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What is the solution to the system graphed below?
Answer:
(-4,-1)
Step-by-step explanation:
If I am reading this question correctly, to find a solution to a graph you find the ordered pair of where the two lines intersect.
these two lines intersect at, (-4, -1)
find TX if RX=16 and if RX is ⅓ of TX
Answer:
48
Step-by-step explanation:
16 x 3
Boomer, the dog, eats \dfrac32 \text { kg} 2
3
kgstart fraction, 3, divided by, 2, end fraction, start text, space, k, g, end text of dog food each week. How many grams of dog food will Boomer eat in 444 weeks?
Answer:
Step-by-step explanation:
\(\frac{3}{2} \times 444\\=3 \times 222\\=666~kg\)
Answer:
6,000 grams.
Sorry but no explanations.
the manager of a paint supply store wants to determine if the mean amount of paint contained in 1- gallon cans purchased from a nationally known manufacturer is actually more than 1-gallon. it is known that for this manufacturer the population standard deviation of the amount of paint is equal to 0.01 gallons. a random sample of 55.0 cans is selected, and the mean amount of paint per 1-gallon can is 0.987 gallons. use a significance level of 0.05. is (are) the critical region(s) for this test in the left tail, right tail, or both tail(s)?
In this case, the critical region will be in the right tail.
To answer this question, you need to conduct a hypothesis test to determine whether the mean amount of paint in 1-gallon cans from this manufacturer is significantly different from 1 gallon. The null hypothesis for this test is that the mean amount of paint in 1-gallon cans from this manufacturer is equal to 1 gallon, and the alternative hypothesis is that it is greater than 1 gallon.
To determine the critical region(s) for this test, you need to decide on the significance level, which is given as 0.05. This means that you will reject the null hypothesis if the test statistic falls in the critical region with a probability of less than 0.05.
In this case, since the alternative hypothesis is that the mean amount of paint in 1-gallon cans is greater than 1 gallon, the critical region will be in the right tail. This means that you will reject the null hypothesis if the test statistic falls in the right tail with a probability of less than 0.05.
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30 points! please help! find the equation of the line that is perpendicular to y=-2/3x and contains the point (4,-8).
Answer:
Step-by-step explanation:perp. 3/2
y + 8 = 3/2(x - 4)
y + 8 = 3/2x - 6
y = 3/2x - 14
Which one of the following lines is the graph of the
equation y = 2x - 3?
I'll give you brainliest!
Answer:
Line D
Step-by-step explanation:
The -3 is the y intercept, so the line must cross the y axis at -3.
The 2 is the slope. Slope is rise/run so the line needs to rise 2 for each run of 1 (up 2 right 1).
The only line that does both of these things is Line D.
Solve: 4x^2 = 32 thanks
Answer:
D.Step-by-step explanation:
It is difficult to describe, but you just need to follow through the steps acorddingly.