(1 point) for what values of p is the series convergent? ∑n=2[infinity](−1)n−1(lnn)pn2
Answers
The series converges for all values of p > 0. This can be shown using the alternating series test and the fact that the terms of the series are alternating and decreasing in absolute value for n ≥ 3.
We can use the alternating series test to show that the series converges for all p > 0.
First, note that the terms of the series are alternating and decreasing in absolute value for n ≥ 3:
|(-1)^(n-1)(ln n)p/n^2| = [(ln n)p/n^2] ≤ [(ln 3)p/n^2] for n ≥ 3.
To apply the alternating series test, we need to show that the sequence of absolute values of the terms converges to zero. This follows from the fact that:
lim_{n->∞} [(ln 3)^p/n^2] = 0,
which can be shown using the squeeze theorem with the inequality [(ln n)^p/n^2] ≤ [(ln 3)^p/n^2].
Therefore, by the alternating series test, the series converges for all p > 0.
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Related Questions
a manufacturer claims that their batteries, type a, exceeds their competitor, type b. a consumer organization collected data on the life of two types of automobile batteries. the summary statistics for 12 observations of each type are:
Answers
The manufacturer claims that their batteries, Type A, exceed their competitor, Type B. However, based on the summary statistics collected by the consumer organization, no definitive conclusion can be drawn as to which battery type lasts longer.
The summary statistics for Type A and Type B batteries must be compared to determine which one lasts longer. The statistics to compare include the mean, median, and range of each battery type.
If the mean and median lifespans of Type A are higher than those of Type B, and if the range of Type A is smaller than that of Type B, then it can be concluded that Type A lasts longer.
However, if the statistics show the opposite, or if there is overlap between the ranges of the two types, then no definitive conclusion can be made as to which battery type lasts longer.
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a common technique in the field of testing is to arrange scores so that a test will have a mean of 75 and a standard deviation of 15. for such a test, a. what scores separate the middle 25% from the rest? b. what proportion would be expected to score 68 and above? c. what proportion would be expected to score between 45 and 55? (worth 1.5) d. what proportion score above 35? e. what score separates the top third on such a test?
Answers
The required scores and proportion for the mean = 75 and standard deviation = 15 is given by,
Separates 25% and rest is 64.95 and 85.05.
Expected proportion for 68 and above is 32.12%.
Expect proportion between 45 and 55 is 6.9% .
Expect proportion score above 35 is 0.38%
Separates the top third of the distribution is 81.6.
Mean 'μ' = 75
Standard deviation 'σ' = 15
Scores that separate the middle 25% from the rest,
Scores that correspond to the 25th and 75th percentiles of the distribution.
Use a standard normal distribution table get corresponding z-scores.
z-score that corresponds to the 25th percentile is -0.67,
And the z-score that corresponds to the 75th percentile is 0.67 (since the distribution is symmetric).
Using the formula z = (x - μ) / σ,
where μ = 75 and σ = 15
For the 25th percentile,
-0.67 = (x - 75) / 15, which gives x = 64.95
For the 75th percentile,
0.67 = (x - 75) / 15, which gives x = 85.05
Scores that separate the middle 25% from the rest are 64.95 and 85.05.
Proportion of people who score 68 and above,
Proportion of the distribution that corresponds to a z-score of
(68 - 75) / 15 = -0.47 (rounded to two decimal places).
Using a standard normal distribution table
Proportion of the distribution that corresponds to a z-score of
-0.47 is 0.3212.
Expect about 32.12% of people to score 68 and above.
Proportion of people who score between 45 and 55,
Proportion of the distribution that corresponds to z-scores of
(45 - 75) / 15 = -2
And (55 - 75) / 15 = -1.33.
Using a standard normal distribution table
Proportion of the distribution that corresponds to a z-score of
-2 is 0.0228
And the proportion that corresponds to a z-score of -1.33 is 0.0918.
Proportion of people who score between 45 and 55 is
representing the difference between these two proportions,
0.0918 - 0.0228 = 0.069.
Expect about 6.9% of people to score between 45 and 55.
Proportion of people who score above 35,
Proportion of the distribution that corresponds to a z-score of
(35 - 75) / 15 = -2.67.
Using a standard normal distribution table
Proportion of the distribution that corresponds to a z-score of
-2.67 is 0.0038.
Expect about 0.38% of people to score above 35.
Score that separates the top third of the distribution,
score that corresponds to the 67th percentile (since the distribution is symmetric).
Using a standard normal distribution table or calculator,
z-score that corresponds to the 67th percentile is 0.44.
Using the formula z = (x - μ) / σ,
where μ = 75 and σ = 15,
0.44 = (x - 75) / 15, which gives x = 81.6
Score that separates the top third of the distribution is 81.6.
Therefore, the required scores for mean and standard deviation is ,
Scores that separate the middle 25% from the rest are 64.95 and 85.05.
Expected proportion is 32.12% of people to score 68 and above.
Expect proportion is 6.9% of people to score between 45 and 55.
Expect proportion is 0.38% of people to score above 35.
Score that separates the top third of the distribution is 81.6.
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Your school is donating items to the local food pantry. Your homeroom is having a competition to see who will donate the most items. You have already donated 14 items and plan to donate 3 more each week. Your friend has already collected 8 items and plans to collect 5 more items each week. Write and solve a system of equations for the number of weeks (x) when you both donate the same number of items (y).
Answers
The number of weeks (x) when you both donate the same number of items (y) is equal to 3 weeks.
How to write and solve a system of linear equations?In order to write and solve a system of linear equations to describe this situation, we would assign variables to the number of weeks and number of items respectively, and then translate the word problem into algebraic equation as follows:
Let the variable x represent the number of weeks.Let the variable D represent the donations.Let the variable y represent the number of items.Since you have already donated 14 items and plan to donate 3 more each week, a linear equation which represents this situation is given by;
D = 3x + 14 ........equation 1.
Since you have already donated 8 items and plan to donate 5 more each week, a linear equation which represents this situation is given by;
D = 5x + 8 ........equation 2.
Equating equation 1 and equation 2, we have:
3x + 14 = 5x + 8
5x - 3x = 14 - 8
2x = 6
x = 6/2
x = 3 weeks.
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What is the distance between (-6, 7) and (-8,6)?
Answers
Answer:
2
Step-by-step explanation:
start with x
if you go from -6 to -8 then you are going down 2 which is -2
now lets do y
if you go from 7 to 6 its down 1 which is -1
-2/-1 would simplify out to a positive so the answer is 2
√32x+1
= 9x-2 minta tolong dengan ini
Answers
We have:
√32x + 1 = 9x - 2
<=> √32x - 9x = -2 - 1
<=> (√32 - 9)x = -3
<=> x = -3/(√32 - 9) = (27+12√2)/49
ANSWER: x = (27+12√2)/49
P/s: i'm not pretty sure
Ok done. Thank to me :3
A person places $6770 in an investment account earning an annual rate of
7.6%, compounded continuously. Using the formula V = Pert, where Vis
the value of the account in t years, P is the principal initially invested, e is the
base of a natural logarithm, and r is the rate of interest, determine the
amount of money, to the nearest cent, in the account after 13 years.
Answers
The future value in 13 years when compounded continuously is; $18183.25
How to solve Continuous Compounding?Continuous compounding is defined as the process of calculating interest and reinvesting it into an account's balance over an infinite number of periods.
The formula for continuous compounding is;
V = Pe^(rt)
where;
V is the value of the account in t years
P is the principal initially invested
e is the base of a natural logarithm.
r is the rate of interest
We are given;
P = $6770
r = 7.6% = 0.076
t = 13
Thus;
V = 6770 * e^(0.076 * 13)
V = $18183.25
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When the coordinates 1 1 7 3 8 0 and 2 − 2 are joined which shape is formed 5 points group of answer choices trapezoid rectangle rhombus square?
Answers
the coordinates (1,1), (7,3), (8,0) and (2,-2) are joined which shape is formed as Square
When the coordinates (1,1), (7,3), (8,0) and (2,-2) are joined, a square is formed. The sides are equal length and the angles are all 90 degrees.The coordinates (1,1), (7,3), (8,0) and (2,-2) are points on a two-dimensional plane. When the points are connected, a square is formed. A square is a four sided shape with four 90 degree angles and four equal length sides. The length of each side can be calculated by finding the distance between the two points. For example, the distance between (1,1) and (7,3) is 6 units. Therefore, the length of each side of the square is 6 units.
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Find an expression for the number of n-combinations of the multiset {n⋅a,1,2,⋯,n} (a occurs n times and is distinct from 1,..,n which each occur once) with exactly k occurrences of a, where k is between 0 and n. Explain your reasoning.
Answers
The number of n-combinations of the multiset {n⋅a, 1, 2, ..., n} with exactly k occurrences of a: C(n, k) * C(n+1-k, n+1-k), where C(n, k) represents the number of combinations of n items taken k at a time. To find the number of n-combinations of the multiset {n⋅a, 1, 2, ..., n} with exactly k occurrences of a, where k is between 0 and n, we can use the concept of combinations with repetition.
The total number of elements in the multiset is n + (n-1) + (n-2) + ... + 2 + 1 = n(n+1)/2. This includes n occurrences of a.
We need to choose k occurrences of a from the n occurrences, which can be done in C(n, k) ways. Here, C(n, k) represents the number of combinations of n items taken k at a time.
The remaining (n+1) - k elements can be chosen from the numbers 1 to n, each occurring once. The number of ways to choose these elements is C(n+1-k, n+1-k).
To find the total number of n-combinations with exactly k occurrences of a, we multiply the number of ways to choose k occurrences of a and the number of ways to choose the remaining (n+1) - k elements:
Total number of n-combinations = C(n, k) * C(n+1-k, n+1-k)
This expression gives us the number of n-combinations of the multiset {n⋅a, 1, 2, ..., n} with exactly k occurrences of a.
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Select the four primary cartographic elements Select 4 correct answer(s) Orientation (North Arrow) Scale Legend Text (Title/Subtitle/etc.) Neatline Border Inset map
Answers
, the correct answers are:
Orientation (North Arrow)
Scale
Legend
Neatline Border
The four primary cartographic elements are:
Orientation (North Arrow): This element indicates the orientation or direction of the map, typically pointing towards the north. It helps users understand the map's alignment and relation to the real world.
Scale: The scale provides a ratio or representative fraction that shows the relationship between distances on the map and corresponding distances on the Earth's surface. It helps users determine the actual size or distance of features on the map.
Legend: The legend, also known as a key, explains the symbols, colors, and other graphic elements used on the map. It helps users understand the meaning or representation of various features or data.
Neatline Border: The neatline border defines the outer boundary of the map. It is a solid line that encloses the map area and separates it from the surrounding space or background.
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bus 1 leaves at 8 am at 80 mph from point b to point a, 550 miles away. bus 2 leaves point a at 8:30am to point b at 90 mph. what time will they pass each other?
Answers
The bus 2 will pass bus 1 at 12.30 pm, when both are at 360 miles.
The bus 1 starts half hour earlier than bus 2. But since bus 2 is faster, it will overtake at some point. At 8 am, bus 1 will start. By the time 8.30, it will cover a distance of 40 miles.
Bus 2 starts at 8.30, So it will be at 0 miles.
By 10, the bus 1 will be at 160 miles, bus 2 at 135 miles
By 10.30, the bus 1 will be at 200 miles, bus 2 at 180 miles.
By 11.30, bus 1 will be at 280 miles, bus 2 will be at 270 miles
By 12.30, bus 1 will be at 360 miles, bus 2 will be at 360 miles.
So at the 360 the, the both the buses passes each other.
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Which expression is the factored form of 2x² 7x 3?
Answers
The expression 2x² + 7x + 3 can be factored as (2x + 3)(x + 1).So, the factored form of 2x² + 7x + 3 is (2x + 3)(x + 1).
To factor this expression, we can use the method of grouping. First, we rewrite the expression as:
2x² + 7x + 3
Then, we group the first and last terms and the middle term:
(2x² + 3) + (7x)
Next, we try to factor in the first group. Since 2x² + 3 can be rewritten as (2x + 1)(x + 3), we can factor the entire expression as:
(2x + 1)(x + 3) + (7x)
Finally, we can rearrange the terms to get the factored form:
(2x + 7x) + (1)(3)
This simplifies to:
(2x + 7x)(1) + (3)
Which is equal to:
(2x + 7x + 3)
And finally:
(2x + 7x + 3) = (2x + 3)(x + 1)
So, the factored form of 2x² + 7x + 3 is (2x + 3)(x + 1).
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Suppose a random sample of size 45 is selected from a population with σ = 11. Find the value of the standard error of the mean in each of the following cases (use the finite population correction factor if appropriate).
a. The population size is infinite.
b. The population size is N = 50,000.
c. The population size is N = 5000.
d. The population size is N = 500.
Answers
The value of the standard error of the mean in each of the following cases:
a. The population size is infinite = 1.4142
b. The population size is N = 50,000 = 1.4135
c. The population size is N = 5000 = 1.4073
d. The population size is N = 500 = 1.343
The standard error is a statistical technique used to measure variability. SE is the abbreviation. A statistic's or parameter estimate's standard error is the standard deviation of its sample distribution. It can be defined as an approximation of that standard deviation.
Standard error calculation:
σ = 10
n = 50
A) when size is infinite, the standard deviation of the sample mean is given by the formula;
σ_x' = σ/√n
Thus,
σ_x' = 10/√50
σ_x' = 1.4142
B) size is given, thus, the standard deviation of the sample mean is given by the formula;
σ_x' = (σ/√n)√((N - n)/(N - 1))
Thus, with size of N = 50,000, we have;
σ_x' = 1.4142 x √((50000 - 50)/(50000 - 1))
σ_x' = 1.4142 x 0.9995
σ_x' = 1.4135
C) at N = 5000;
σ_x' = 1.4142 x √((5000 - 50)/(5000 - 1))
σ_x' = 1.4073
D) at N = 500;
σ_x' = 1.4142 x √((500 - 50)/(500 - 1))
σ_x' = 1.343
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5/4=y−14 help meeeee
Answers
Answer:
y= 61/4
Step-by-step explanation:
-y=-14-5/4
-y=-61/4
-1(-y=-61/4)
y= 61/4
research shows that ethnicity is often a bigger barrier to advancement into top leadership positions than being a woman.
Answers
It is important to approach statements like this with caution and consider the complexity of the factors at play in career advancement and leadership positions.
While research may indicate that ethnicity can be a significant barrier to advancement in some cases, it is crucial to recognize that experiences can vary based on individual circumstances, industries, and regions. Gender and ethnicity intersect in complex ways, and the challenges faced by women of different ethnic backgrounds can differ significantly.
It is essential to avoid generalizations and recognize that multiple factors contribute to the barriers individuals face in reaching top leadership positions. These factors can include implicit biases, cultural norms, lack of representation, access to opportunities, networking, and organizational structures. Intersectionality, which considers how different aspects of a person's identity can intersect and create unique experiences, is also a crucial perspective to consider when discussing barriers to advancement.
To fully understand and address the barriers individuals face in reaching top leadership positions, it is necessary to consider a comprehensive range of factors and engage in ongoing research, dialogue, and efforts to promote equity, diversity, and inclusion in the workplace.
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based on past​ experience, a bank believes that​ 8% of the people who receive loans will not make payments on time. the bank has recently approved 600 loans. describe the sampling distribution model of the proportion of clients in this group who may not make timely payments. round the standard deviation to one decimal place.
Answers
With a standard deviation of 7.1%, if the bank chooses 600 consumers at random, we may assume that 8% of them won't pay on time.
How is standard deviation calculated in this case?The binomial distribution with parameters n = 600 and p = 0.08 is the sample distribution model for the percentage of clients who might not make payments on time.
The distribution's mean is equivalent to n * p = 600 * 0.08 = 48.
The square root of n * p * (1 - p) = sqrt(600 * 0.08 * 0.92) = sqrt(49.92) 7.1 represents the standard deviation.
In other words, if the bank randomly selects 600 clients, we can anticipate that 8% of those clients will not make payments on time, with a standard deviation of 7.1%.
If we repeatedly went through this process, the standard deviation shows how much the fraction of non-payers would change. Taking this into account is crucial when making choices based on the outcomes sample.
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Find the axis of symmetry, vertex and y - intercept of the function
Answers
Answer:
see explanation
Step-by-step explanation:
The axis of symmetry is a vertical line with equation x = c
Where c is the x- coordinate of the turning point, that is
x = - 1
The coordinates of the vertex, the turning point are (- 1, - 6 )
The y- intercept is where the graph crosses the y- axis , that is
y- intercept = - 3
A dozen eggs cost $2.49. What is the cost per egg?
Answers
Answer:
i think its $0.20
Step-by-step explanation:
12 1
------ = ---------
2.49 0.20
1 egg = $0.20
how many different three-letter words (including nonsense words) are there in which successive letters are different?
Answers
16250 many different three-letter words—including nonsense words—have different letters in the next position.
Given that,
We have to find how many different three-letter words—including nonsense words—have different letters in the next position.
We know that,
The number of alphabets are 26
First letter has 26 choices.
Second letter can not be same has first letter so 25 choices.
Third letter can not be same has second letter so 25 choices.
So,
Total words = 26×25×25=16250
Therefore, 16250 many different three-letter words—including nonsense words—have different letters in the next position.
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Use the graph of f(x) and the description of g(x) to compare the functions.
Answers
The comparison results are as follows -
f(x) has greater y - intercept than that of g(x).g(x) has lesser relative minimum value than f(x)What is a function?A function is a relation between a independent variable and a dependent variable such that the value of dependent variable depends upon the independent one. For example -
f(x) = 4x + 5
h(x) = 7x + 9
Given are two functions such f(x) and g(x).
The y - intercept is a point on the y - axis where the graph of the function cuts the y - axis. It can be seen that the y - intercept[c] of f(x) has a positive value as it is above the origin and that of g(x) has a negative value. Therefore, f(x) has greater y - intercept than that of g(x). Mathematically - c[f(x)] > c[g(x)]
A relative minimum point is a point where the function changes direction from decreasing to increasing. The relative minimum point of f(x) has the coordinates (0.8, - 1.5) and that of g(x) is (-1, -2.25). Therefore, g(x) has lesser relative minimum value as -2.25 < -1.5.
Therefore -
f(x) has greater y - intercept than that of g(x).g(x) has lesser relative minimum value than f(x)To solve more questions on relative max. and min. points, visit the link below-
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Help with math please! This is table to linear equation (level 3)
Answers
Answer:
y = -5x-4
Step-by-step explanation:
start with slope-intercept form:
-9-11/1+3 = -20/4 = -5
your slope is -5
next, do point-slope form:
y+9 = -5(x-1)
y+9 = -5x+5
-9 -9
y = -5x-4
at a checkout counter customers arrive at an average of 1.5 per minute. find the probabilities that (a) at most 4 will arrive in any given minute. (b) at least 3 will arrive during an interval of 2 minutes.
Answers
(a) The probability of at most 4 customers arriving in any given minute is 0.835.
(b) The probability of at least 3 customers arriving in an interval of 2 minutes is 0.668.
Step by step explanation:
(a) To find the probability of at most 4 customers arriving in any given minute, we need to use the Poisson Distribution formula: P(X ≤ x) = Σ (e-λ λk) / k!
where λ is the mean number of customers arriving in one minute, which is 1.5.
Therefore, P(X ≤ 4) = Σ (e-1.5 (1.5)k) / k! = 0.835.
(b) To find the probability of at least 3 customers arriving in an interval of 2 minutes, we need to use the same Poisson Distribution formula.
This time, λ = 3 (the mean number of customers arriving in two minutes).
Therefore, P(X ≥ 3) = 1 - Σ (e-3 (3)k) / k! (where k ranges from 0 to 2)
= 1 - (0.224 + 0.452 + 0.224) = 0.668.
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the serving size for the granola that ted likes to eat for breakfast is 3/4 cup. how many servings are there in a box that holds 13 cups? (what operation should be used here? solve the problem.)
Answers
With one third of a serving remaining, there are 17 servings are there in a box that holds 13 cups.
Given that:
Each cup holds a bit more than 1 serving, so we know there are at least 13 servings in a box.
We need to know how many servings of 3/4 cup can be obtained from 13 cups.
now we need to divide 13 by 3/4
=13 ÷ 3/4
= 13 × 4/3
= 52/3
= 17\(\frac{1}{3}\)
With one third of a serving remaining, there are 17 servings total.
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12 POINTS TO THE BRAINLIEST ANSWER!!!! PLEASE HELP!! Tess and Dan have $24.00 each to spend at a book fair, where all students receive a 15% discount. They both want to purchase a copy of the same book, which normally sells for $24.50 plus 10% sales tax. To check if she has enough to purchase the book, Tess takes 15% of $24.50 and subtracts that amount from the normal price. She takes 10% of the discounted selling price and adds it back to find the purchase amount. Dan takes 85% of the normal purchase price and then computes 110% of the reduced price. Is Tess correct? Is Dan correct? Do they have enough money to purchase the book? Explain your answer using complete sentences. PLEASE ANSWER ALL QUESTIONS
Answers
Answer:
yes Dan and Tess have enough money because the price is 22.9075 after discount
Step-by-step explanation:
the original price of the book=24.50
the price of the book with taxes : 24.5+(24.5*10 %)=26.95 Dollars
the price for the students is : 24.50-(24.5*15%)=20.825
the price to students +tax= 20.825+(20.825*10%)= 22.9075
See what Tess did:she took 15 % from original price :24.50-(24.5*15%)=20.825
she took 10 % of discounted price :20.825.50*10%= 1.04125
adds it back to find the purchase amount:1.04125+20.825=21.86625
what Dan did:Dan takes 85% of the normal purchase price: 24.50*85%= 20.825
then compute 110% to the discounted price: 20.825*110%=22.9075
Dan is right, he will pay 22.9075 which is actually the price that the student pay for the book after the discount. what Tess is that she calculated the tax before discount, she has to calculate the tax after discount.
solve for z40=19+1/4z
Answers
To solve this equation for z, we can proceed as follows:
1. Subtract 19 from both sides of the equation:
\(40-19=19-19+\frac{1}{4}z\Rightarrow21=\frac{1}{4}z\)2. Multiply by 4 to both sides of the equation (Multiplication property of equality):
\(4\cdot21=4\cdot\frac{1}{4}z\Rightarrow84=\frac{4}{4}z\Rightarrow z=84\)Therefore, the value for z is equal to 84.
Determine the average rate of return for a project that is
estimated to yield total income of $382,000 over four years, cost
$695,000, and has a $69,000 residual value.
_ %
Answers
The average rate of return for a project that is estimated to yield a total income of $382,000 over four years, cost $695,000, and has a $69,000 residual value is 4.5% .
Here's how to solve for the average rate of return:
Total income = $382,000
Residual value = $69,000
Total cost = $695,000
Total profit = Total income + Residual value - Total cost
Total profit = $382,000 + $69,000 - $695,000
Total profit = -$244,000
The total profit is negative, meaning the project is not generating a profit. We will use the negative number to find the average rate of return.
Average rate of return = Total profit / Total investment x 100
Average rate of return = -$244,000 / $695,000 x 100
Average rate of return = -0.3518 x 100
Average rate of return = -35.18%
Rounded to one decimal place, the average rate of return is 35.2%. However, since the average rate of return is negative, it does not make sense in this context. So, we will use the absolute value of the rate of return to make it positive.
Average rate of return = Absolute value of (-35.18%)
Average rate of return = 35.18%Rounded to one decimal place, the average rate of return for the project is 4.5%.
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Solve the following quadratic equation for all values of xx in simplest form.
4(x-2)^2=16
Answers
Answer:
\(x=4,\:x=0\)
Step-by-step explanation:
\(\mathrm{Divide\:both\:sides\:by\:}4\)
\(\frac{4\left(x-2\right)^2}{4}=\frac{16}{4}\)
\(\mathrm{Simplify}\)
\((x-2)^{2} =4\)
\(\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\)
\(x=4,\:x=0\)
Tell me if it's censored since my wifi is terrible.
You buy a lottery ticket to a lottery that costs $10 per ticket. There are only 100 tickets available to be sold in this lottery. In this lottery there are one $475 prize, two $95 prizes, and four $30 prizes. Find your expected gain or loss. (Round your answer to two decimal places.)
Answers
There is a profit of $39.7.
It is given that there 100 tickets costing $10 per ticket.
You must look first for the probability of the 4 prizes which are $475, $195, $30, and no prize.
P ($475 prize) = 1/100 or 0.01
P ($95 prize) = 2/100 or 0.02
P ($30 prize) = 4/100 or 0.04
P (No prize) = 100/100 – 1+2+4/100 =93/100 .93
Expected gain or loss is computed by: (P(x)* n)
E= (475-10)*.01 + (95-10)*0.02 + (30-10)* 0.04 + (-10)*.93
= 46.5 + 1.70 + 0.8 – 9.3
E = 39.7
There is a profit of $39.7.
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Could someone please help??
TYY!!! <33
Answers
Answer:
25×124/100=31
120×175/100=210
35×160/100=56
72×165/100=118.8
Answer:
5) 31
6) 210
7) 14
8) 25.2
Step-by-step explanation:
25+6=31
120+90=210
35-21=14
72-46.8=25.2
X over 3 = 2 over 10
Answers
Answer:
x=3/5
Step-by-step explanation:
x/3=2/10
x/3=1/5
x=3/5
Answer:
x = 0.6
Step-by-step explanation:
x/3 = 2/10
x/3 = 0.2
Multiply both sides by 3
x = 0.6
Which kind of growth is the best fit for explaining the growth of this particular function? The function is 2n3 1. constant 2. exponential 3.polynomial 4. linear
Answers
The best fit for explaining the growth of this particular function is option 3, polynomial.
A polynomial function is a function that can be expressed in the form of f(x) = aₙxⁿ + aₙ₋₁xⁿ⁻¹ + ... + a₂x² + a₁x + a0, where n is a non-negative integer and a0, a1, a2, ..., an are constants.
In this case, the function is 2n³, which can be expressed as f(n) = 2n³ + 0n² + 0n + 0. This is a polynomial function of degree 3, which means it is a cubic function. ( 3)
Constant functions have the form f(x) = c, where c is a constant. Exponential functions have the form f(x) = abx, where a and b are constants and b is positive.
Linear functions have the form f(x) = mx + b, where m and b are constants. None of these functions match the form of the given function, so the best fit for explaining its growth is a polynomial function.
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