Answer:
\(9x^6-6x^3y^2+y^4\)
Step-by-step explanation:
We are applying the perfect square formula: \((a-b)^2 = a^2-2ab+b^2\)
In this case \((3x^3-y^2)^2\)
= \((3x^3)^2-2 *3x^3y^2+(y^2)^2\)
Now we simplify ----> \((3x^3)^2-2*3x^3y^2+(y^2)^2\)
= \(9x^6-6x^3y^2+y^4\)
HOPE THIS HELPS!
: Explain why L'Hopital's Rule is of no help in finding lim x -> [infinity] rightarrow infinity x+sin 2x/x. Find the limit using methods learned earlier in the semester.
The limit of the given expression is
lim x -> infinity (x + sin(2x))/x = 1 + 0 = 1
To answer your question, L'Hopital's Rule is of no help in finding lim x -> infinity (x + sin(2x))/x because L'Hopital's Rule applies to indeterminate forms like 0/0 and ∞/∞.
In this case, as x approaches infinity, both the numerator and denominator approach infinity, making the expression an indeterminate form of ∞/∞. However, applying L'Hopital's Rule requires taking the derivative of both the numerator and the denominator, and since sin(2x) oscillates between -1 and 1, its derivative (2cos(2x)) will not help in finding the limit.
To find the limit using methods learned earlier in the semester, we can rewrite the given expression as:
lim x -> infinity (x + sin(2x))/x = lim x -> infinity (x/x + sin(2x)/x)
Now, let's evaluate the limit for each term separately:
lim x -> infinity (x/x) = lim x -> infinity 1 = 1 (since x/x always equals 1)
lim x -> infinity (sin(2x)/x) = 0 (since the sine function oscillates between -1 and 1, its value divided by an increasingly large x will approach 0)
So, the limit of the given expression is:
lim x -> infinity (x + sin(2x))/x = 1 + 0 = 1
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7/15 * (9/-28)...pls answer fast!!,step by step explanation plsssssssssss
The value of the fraction 7/15 * (9/-28) is - 3/20.
How to calculate the fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
On the other hand, a fraction appears in the numerator or the denominator of a complex fraction. The value will be:
= 7/15 * (9/-28)
= -63 / 420
= -3/20
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Find the Quotient
5)9,374
Without actually solving the given differential equation, find the minimum radius of convergence R of power series solutions about the ordinary point x = 0. About the ordinary point x = 1. (x^2 - 2x + 10)y" + xy' - 4y =
Here, to find the minimum radius of convergence R of power series solutions about the ordinary point x = 0 and x = 1, for the differential equation (x^2 - 2x + 10)y" + xy' - 4y = 0, we can use the formula R = 1/limsup |an|^1/n.
Step:1 At x = 0, the power series solution is y = c_0 + c_1x + c_2x^2 + c_3x^3 + ... + c_nx^n + ... , and the coefficients an are given by c_n = (-1)^(n-1)*(n-1)!/[(x^2-2x+10)n!]. Thus, the minimum radius of convergence R at x = 0 is R = 1/limsup |c_n|^1/n.
Step:2 Similarly, at x = 1, the power series solution is y = c_0 + c_1(x-1) + c_2(x-1)^2 + c_3(x-1)^3 + ... + c_n(x-1)^n + ..., and the coefficients an are given by c_n = (-1)^(n-1)*(n-1)!/[((x-1)^2-2(x-1)+10)n!]. Thus, the minimum radius of convergence R at x = 1 is R = 1/limsup |c_n|^1/n.
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the
graph f(x) contains the point (5,-3). What point must lie on the
graph -1/3f(x)
write answer as point (x,y)
The graph f (2) contains the point (5, -3). What point must lie on the graph -f(x) ? Write answer as point (z,y).
Let's find the point on the graph \(\frac{-1}{3}\)f(x):
The graph of \(\frac{-1}{3}\)f(x) is a vertical scaling of the graph of f(x) with a scale factor of \(\frac{-1}{3}\). So, to find the point on the graph of \(\frac{-1}{3}\)f(x), we need to multiply the y-coordinate of the point on f(x) by \(\frac{-1}{3}\).
The given point on f(x) is (5, −3). So, the point on the graph of \(\frac{-1}{3}\)f(x) is
\((x, y) = (5, -3*-\frac{1}{3})= (5, 1)\).
Therefore, the point on the graph of \(\frac{-1}{3}\)f(x) is (x, y) = (5, 1).
Let's find the point on the graph of −f(x):
The graph of −f(x) is a reflection of the graph of f(x) about the x-axis. So, to find the point on the graph of −f(x), we need to change the sign of the y-coordinate of the point on f(x). The given point on f(x) is (5, −3).So, the point on the graph of −f(x) is (z, y) = (5, −(−3))= (5, 3).Therefore, the point on the graph of −f(x) is (z, y) = (5, 3).
Hence, the point on the graph of \(\frac{-1}{3}\)f(x) is (x, y) = (5, 1) and the point on the graph of −f(x) is (z, y) = (5, 3).
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A chi-square test involves a set of counts called ""expected counts. "" what are the expected counts?.
The expected counts are hypothetical counts that would occur if the null hypothesis were true.
A set of population proportions is expressed as the null hypothesis in a chi-square goodness-of-fit test, which is a hypothesis test. To establish if the sample data support the claim, the sample proportions are contrasted with the population proportions of the null hypothesis. If all of the sample proportions are significantly different from the hypothesized proportions, the null hypothesis is rejected.
Hypothesis:
In statistics, hypothesis testing is used to identify the variance in the group of data that results from genuine variation. Based on the presumptions, the sample data are taken from the population parameter. The hypothesis can be divided into many categories. A hypothesis is described in statistics as a formal statement that explains the relationship between two or more variables belonging to the specified population. It aids the researcher in converting the stated issue into an understandable justification for the study's findings. It explains and foretells the anticipated result in unambiguous terms. It provides examples of various experimental designs and guides the investigation of the research procedure.
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n employee randomly selects a chocolate, records their selection and returns the chocolate to the display. They select 10 chocolates in this way. Determine the probability that they select 3 white chocolates.
The probability of an employee randomly selecting three white chocolates out of ten is 0.25028228759765625 or approximately 0.25. Probability is the possibility that an event will occur.
The formula for calculating probability is as follows: P(A) = n(A) / n(S), where n(A) represents the number of favorable outcomes and n(S) represents the number of possible outcomes.
In the case where an employee randomly selects a chocolate, records their selection, and returns the chocolate to the display, selecting 10 chocolates in this way, the possible number of outcomes is 4 * 10 = 40, where the 4 represents the total number of chocolate types and the 10 represents the total number of chocolate selected.
The formula for the binomial distribution is as follows: P(X = x) = \((nCx) p^x (1 - p)^(n - x)\), where n is the total number of trials, x is the total number of successes, p is the probability of success, 1 - p is the probability of failure, and nCx is the binomial coefficient of x in n.
Using the binomial distribution formula, the probability of selecting three white chocolates is:
P(X = 3) = (10C₃) (1/4)^3 \((3/4)^(10 - 3)\) P(X = 3)
= (120) (1/64) (27/64)P(X = 3)
= 0.25028228759765625
Therefore, the probability of an employee randomly selecting three white chocolates out of ten is 0.25028228759765625 or approximately 0.25.
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what is this plsssssssssssssssssssssss helppppppppp
Please help I’ll give brainiest! Fill in the missing exponent !
Answer:
Answer is .............3.
Answer:
It's 3
So whenever u see a power outside the bracket u times it with the inner brackets
In the final answer a is with the power of 8 because 2 times 4 is 8
U do the opposite to find the power of b u divide 12 with 4 which will be 3 ☺️
b/12 = 5; b = 60 pls. Help by step please
Answer:
B=60
B divided by 12
60 divided by 12
60/12
12x5=60
60/12=5
Step-by-step explanation: took test
Find the volume of a cone with a diameter of 12 m and a height of 5 m.
A. 60 m3
B. 60 m3
C. 240 / m3
D. 1807 m3
Please help!!! Need fast will mark Brainiest if correct!
Answer:
60\(\pi\) m³
Step-by-step explanation:
Use the cone volume formula, V = \(\pi\)r²\(\frac{h}{3}\)
If the diameter is 12 m, the radius will be 6 m.
Plug in the height and radius into the formula, and solve:
V = \(\pi\)r²\(\frac{h}{3}\)
V = \(\pi\)(6²)\(\frac{5}{y}\)
V = \(\pi\)(36)\(\frac{5}{3}\)
V = 60\(\pi\)
So, the volume of the cone is 60\(\pi\) m³
One week, Huang ordered 1 pizza and 2 sodas for $12.
The next week, he ordered 3 pizzas and 4 sodas from the
same restaurant for $30. Write and graph a system of
equations to determine the cost of each pizza and the cost
of each soda from this restaurant.
Let x = the cost of a pizza
Let y = the cost of a soda
Answer: x=6 y=3
Step-by-step explanation:
12/2 = 6
1 pizza is 6 dollars
6/2=3
1 soda is 3 dollars
3*4=12
6*3=18
18+12=30
Help please, this is drag to correct spot question.
Answer:
1 Product of a power
2 Power of a power
3 Definition of negative exponents
Anybody know ? I need help
Answer:
b
Step-by-step explanation:
Answer:
i believe it is b)alternate exterior
Step-by-step explanation:
have a nice day
btw it will help a lot if you can mark me brainliest
State the domain and range for the following relations.
what is volume of rectangular pyramid with bases 6.3 mm and 2.4 mm and height 3.6 mm
Answer:
18.144 mm3
Step-by-step explanation:
V = l * w * h / 3
V: volume
I: base length
w: base width
h: pyramid height
Now, put the values in the formula to form an equation and solve it.
V = l * w * h / 3
= 6.3 * 2.4 * 3.6 / 3
= 18.144 mm3
Step-by-step explanation:
volume of rectangular based pyramid =l×b×h
(6.3×2.4×3.6)/318.144mm³stay safe healthy and happy.Find the number that makes the ratio equivalent to 4:8.
:64
Answer:
4:8 = 32:64
Step-by-step explanation:
4:8 = x:64
256=8x
32 = x
BRAINLIEST? TY!
The box that the kite came in is a rectangular prism with dimensions of 21/2” x 9 1/2” x 2”
The volume of the box is given as follows:
V = 199.5 in³.
How to obtain the volume of a rectangular prism?The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, according to the equation presented as follows:
Volume = length x width x height.
The dimensions for this problem, in inches, are given as follows:
10.5, 9.5 and 2.
Hence the volume of the box is given as follows:
V = 10.5 x 9.5 x 2
V = 199.5 in³.
Missing InformationThe problem asks for the volume of the box.
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PLEASSSSSEEE HELPPP ASPPP PLEASEEE
Answer:
x=1
i hope this helps!
Step-by-step explanation:
x+2/-1 =3
x+2 (1) =3
x+2 = 3
x=1
An item has listed price of $30. If the sales tax is 4% how much is the sales tax (in dollars)
Answer: $1.20
Step-by-step explanation:
To calculate sales tax, multiply the price by the tax percentage.
$30 x 0.04 (4% sales tax) = $1.20
What is the value of x in -4x+ (-3) = -x + 3
Answer:
Hello!! Your answer is x=−2
hope this helps good luck! <3
suppose that each party must select a speaker and a vice speaker. how many ways are there for the speaker and vice speaker to be selected in the demonstrators party?
There are n x (n-1) number of ways for the speaker and vice speaker to be selected in the demonstrator's party, where n is the number of members in the party.
For the demonstrator's party, the first position of the speaker can be filled by any of the n members. After the speaker is chosen, there are n-1 members left to select from for the position of vice speaker. Therefore, the total number of ways the speaker and vice speaker can be selected is n x (n-1).
For example, if the demonstrator's party has 4 members, there are 4 choices for the speaker position. After the speaker is chosen, there are 3 choices left for the position of vice speaker. So, the total number of ways to select a speaker and vice speaker in the party is 4 x 3 = 12.
This formula can be applied to any size of the party to determine the total number of possible ways to select a speaker and vice speaker.
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A city map uses a scale in which 2.5 centimeters represents 3 kilometers. The distance on the map between the post office and the
library is 9 centimeters.
What is the actual distance between the post office and library in kilometers?
0.83 kilometers
7.5 kilometers
10.8 kilometers
22.5 kilometers
Answer:
10.8 kilometers
x+y=4 2x-y=5
what is the answer
Answer:
x=3 y=1 is the answer if that is what you were looking for :)
Answer:
x = 3 and y = 1
Step-by-step explanation:
x + y = 4
2x - y = 5
We know x must be greater than y.
Let's try x = 3 and y = 1
3 + 1 = 4
6 - 1 = 5
Can you please help me answer the second question that has the cutoff values..
We know that
• The mean is 0.
,• The standard deviation is 1.00.
The cutoff value at +2.7% is found by adding the standard deviation three times to the mean.
The cutoff value at -2.7% is found by subtracting the standard deviation three times with the mean.
\(\begin{gathered} 0+3\cdot1.00=3.00 \\ 0-3\cdot1.00=-3.00 \end{gathered}\)Therefore, the cutoff values are -3 degrees and 3 degrees, approximately.In the past, the output of a process had a mean of 2.050 and a standard deviation of 0.020 liters. If a current sample of output had these values {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}, would that indicate that the process is still "in order" (as opposed to being "out of order")? What if the sample was {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}?
For the first sample {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}, the process is still "in order," while for the second sample {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}, the process might be "out of order."
To determine whether the process is still "in order" or "out of order," we can compare the current sample of output to the known mean and standard deviation of the process.
For the first sample {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}:
Calculate the sample mean by summing up all the values in the sample and dividing by the number of values (n = 10):
Sample mean = (2.038 + 2.054 + 2.053 + 2.055 + 2.059 + 2.059 + 2.009 + 2.042 + 2.053 + 2.047) / 10 = 2.048.
Compare the sample mean to the known process mean (2.050):
The sample mean (2.048) is very close to the process mean (2.050), indicating that the process is still "in order."
Calculate the sample standard deviation using the formula:
Sample standard deviation = sqrt(sum((x - mean)^2) / (n - 1))
Using the formula with the sample values, we find the sample standard deviation to be approximately 0.019 liters.
Compare the sample standard deviation to the known process standard deviation (0.020):
The sample standard deviation (0.019) is very close to the process standard deviation (0.020), further supporting that the process is still "in order."
For the second sample {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}:
Calculate the sample mean:
Sample mean = (2.022 + 1.997 + 2.044 + 2.044 + 2.032 + 2.045 + 2.045 + 2.047 + 2.030 + 2.044) / 10 ≈ 2.034
Compare the sample mean to the process mean (2.050):
The sample mean (2.034) is noticeably different from the process mean (2.050), indicating that the process might be "out of order."
Calculate the sample standard deviation:
The sample standard deviation is approximately 0.019 liters.
Compare the sample standard deviation to the process standard deviation (0.020):
The sample standard deviation (0.019) is similar to the process standard deviation (0.020), suggesting that the process is still "in order" in terms of variation.
In summary, for the first sample, the process is still "in order" as both the sample mean and sample standard deviation are close to the known process values.
However, for the second sample, the difference in the sample mean suggests that the process might be "out of order," even though the sample standard deviation remains within an acceptable range.
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your friend says that there are 36 feet in 12 yards is your friend correct? explain your reasoning.
PLEASE HURRY!!
Answer:
Yes
Step-by-step explanation:
1 yard is 3 feet. so 12 yards is 36 by 12*3
Which is one way to check 102 : 6 = 17?
A. 100:- 5 = 20
B. 105 - 10 = 10.5
C. 105 : 5 = 21
D. 102 : 10 = 10.2
Answer:
One way to check is 102 ÷ 6 = 17 is 100 ÷ 5 = 20.
Answer:
letter a
Step-by-step explanation:
Please help, I only have 1 attempt left to get it right, there is also no need to show your work if you don't want to.
How many pounds of $1.75/lb trail mix should a grocer combine with 3 lb of $3.75/lb trail mix to get $2.95/lb trail mix?
Answer:
1/2 lb
Step-by-step explanation:
(1)1.75 + 3(3.75) - 4 = 23.5/4
23.5x/4 = 2.95
23.5x = 11.8
x = 0.5
Answer:
2lb
I don't know what to write here but this is the answer
access whether relationship status is significantly linked to pretreatment drug use in past week reports in this sample. please provide the statistical test used, the degrees of freedom, the value of this test, and the p-value.
To determine whether relationship status is significantly linked to pretreatment drug use in past week reports, a statistical test such as the chi-square test of independence can be used. The chi-square test evaluates the association between two categorical variables.
The degrees of freedom for the chi-square test of independence are calculated as (r - 1) * (c - 1), where r represents the number of rows and c represents the number of columns in the contingency table.
The value of the test statistic, chi-square (χ²), is computed based on the observed frequencies in the contingency table. The chi-square test evaluates whether the observed frequencies differ significantly from the expected frequencies under the assumption of independence.
The p-value associated with the chi-square test indicates the probability of obtaining the observed association between relationship status and pretreatment drug use in the past week by chance alone. A small p-value (typically less than 0.05) suggests a significant relationship between the variables.
To provide the specific degrees of freedom, test statistic value, and p-value, I would need access to the data and the contingency table. Without the data, it is not possible to generate the exact values for the statistical test. However, by conducting a chi-square test of independence using the available data, you can obtain the degrees of freedom, test statistic value, and p-value to assess the significance of the relationship between relationship status and pretreatment drug use.
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