The general solution of the equationy′+2xy2=0can be written in the formy(x)=g(x)+C1whereCis an arbitrary constant. Findg(x)g(x)=

Answers

Answer 1

The general solution of the equation y′+2xy2=0 can be written in the form y(x)=g(x)+C1 where C is an arbitrary constant.

To find g(x), we need to solve the equation.

First, we can separate the variables by rewriting the equation in the form y'= -2x*y2. Then, we can take the integral of both sides of the equation. This gives us:

∫ y' dx = -2x ∫ y2 dx

We can use the power rule to integrate the right side of the equation, giving us:

∫ y' dx = -2x * (y3/3) + C2

Next, we can solve the left side of the equation. Using the fundamental theorem of calculus, we get:

y(x) = ∫ y' dx = ∫ -2x*y2 dx = -2x*(y3/3) + C2 + C3

Therefore, the general solution for the equation y′+2xy2=0 is given by y(x) = -2x*(y3/3) + C1, where C1 is an arbitrary constant.

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Related Questions

can someone help the last problem i am confuse ​

can someone help the last problem i am confuse

Answers

Answer:

$1.03

Step-by-step explanation:

total cost / 17 burgers

17.51 ÷ 17 = 1.03

The chi-square test of independence is typically used to analyze the relationship between two variables when

both variables are nominal.

the two variables have been measured on different individuals.

the observations on each variable are within-subjects in nature.

all of the above

Answers

The chi-square test of independence is typically used to analyze the relationship between two variables when both variables are nominal, the two variables have been measured on different individuals and the observations on each variable are within-subjects in nature. The answer is  D. all of the above

The chi-square test of independence is a statistical test that is used to determine if there is a significant association between two categorical variables. It is commonly used when both variables are nominal, meaning they consist of categories or groups rather than numerical values.

When conducting the chi-square test of independence, the data is typically collected by measuring the two variables on different individuals or units.

For example, researchers may collect data on the gender (nominal variable) and political affiliation (nominal variable) of different individuals and analyze whether there is a relationship between the two variables.

The test examines the observed frequencies of the different categories in a contingency table and compares them to the expected frequencies under the assumption of independence. If the observed and expected frequencies significantly differ, it suggests that there is an association between the two variables.

Therefore, the chi-square test of independence is applicable when both variables are nominal and the data is collected on different individuals. This allows researchers to investigate the relationship between the variables and determine if they are associated or independent.

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6. Which of the following is a continuous random variable:
5
-X=number of incoming flights at a local airport
-T=winning time in the men's 100-meter dash at the 2016 Olympics
-P=number of points scored by Stephen Curry a game
-H=the number of hats sold on Tuesday

Answers

Answer:

T

Step-by-step explanation:

guys pls help me!!!!!

guys pls help me!!!!!

Answers

X should be 54 because of alternate angles
Hope this helps :)
Tell me if I’m wrong

(n^3+3n^2-15n+19)/(n-2) Synthetic Division

Answers

The quotient is n^2+5n-5 and the remainder is 9. The solution has been obtained by using the synthetic division.

What is synthetic division?

Synthetic division is typically used to identify the zeroes of polynomials and is described as "a simplified method of dividing a polynomial with another polynomial equation of degree 1."

We are given the expression as (n^3+3n^2-15n+19)

The expression is to be divided by (n-2)

So, by using the synthetic division, we get

2 |  1     3     -15      19    

     -     2      10     -10        

     1     5      -5       9    

Quotient =  n^2+5n-5

Remainder = 9

Hence, the quotient is n^2+5n-5 and the remainder is 9.

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3 Hassan recorded the number of people in 60 passing cars.
Here are his results. Find:
a the missing frequency
b the modal number of people in a car
c the median
d the mean.

Answers

a) The missing frequency is 20

b) The modal number of people in a car is 1

c) The median is 3

d) The mean is 0.95

The sum of the frequencies must be 60.

The missing frequency by subtracting the sum of the other frequencies from 60

60 - (28 + 3 + 7 + 1 + 1) = 20

To find the median, we need to arrange the data in order from smallest to largest:

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 6

There are 60 numbers in total, so the median is the average of the 30th and 31st numbers:

median = (3 + 3)/2 = 3

The mode is the value with the highest frequency, which is 1.

mean = (1 x 28 + 2 x 20 + 3 x 3 + 4 x 7 + 5 x 1 + 6 x 1) / 60

= (28 + 40 + 9 + 28 + 5 + 6) / 60

= 0.95

Therefore, the missing frequency, mode, median and mean has been found

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The given question is incomplete, the complete question is

Hassan recorded the number of people in 60 passing cars

people 1 2 3 4 5 6

frequency 28 ? 3 7 1 1

a)find the missing frequency

b)median

c)modal

d)mean

a:b = 1:6 b:c = 3:1 work out a:c

Answers

The ratio of a to c based on the given proportions is 1:2

Ratio and proportion

Ratio are written as fractions. Given the following ratios

a:b = 1:6 b:c = 3:1

This can be expressed as fractions as shown:

a/b = 1/6 and b/c = 3/1

Cross multiply

6a = b and b = 3c

Equate both equations to have

6a = 3c
a/c =3/6
a/c =1/2

Hence the ratio of a to c based on the given proportions is 1:2

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what is the slope of a line that passes through (1,1) and (3,5)

Answers

Answer is slope = 2

Step by step

For points (1, 1) and (3, 5)

The formula for slope is
y2 - y1 over x2 - x1

5 - 1 over 3 - 1

4 over 2 = 4/2 or slope of 2

Answer:

slope is 2.

Step-by-step explanation:

(1,1) which is x¹and y¹

(3,5)which is x²and y²

so,

by using the formula,

slope= y2-y1over x2-x1

= 3-1over 5-1

= 2 over4

=2.

How many meters can the car travel on 3 liters of gas?

Answers

Answer:

36,000 meters

Step-by-step explanation:

36,000 meter is the answer

PLZZZZZZ SOMMMEONEEEE HELLLPPPPPP

PLZZZZZZ SOMMMEONEEEE HELLLPPPPPP

Answers

Answer:

\(9^{12}\)

Step-by-step explanation:

Using the rule of exponents

\((a^m)^{n}\) = \(a^{mn}\) , then

\((9^3)^{4}\) = \(9^{3(4)}\) = \(9^{12}\)

Find y'' if y = sec(x)

Answers

Answer:

y" = sec(x) · [sec²(x) + tan²(x)]

Step-by-step explanation:

Remember your Trig derivatives.

Derivative of sec(x) is sec(x)tan(x)

Derivative of tan(x) = sec²(x)

Product Rule:

f'(x)g(x) + f(x)g'(x)

Step 1: Find 1st derivative of sec(x) (Trig Rule)

y' = sec(x)tan(x)

Step 2: Find 2nd derivative (Product Rule and Trig Rule)

y" = sec(x)sec²(x) + sec(x)tan(x)tan(x)

y" = sec³(x) + sec(x)tan²(x)

y" = sec(x) · [sec²(x) + tan²(x)]

Which trigonometric function(s) have a value of sqrt 3 / 2 ?
a sin pi/3
b sin 5pi / 6
c cos 5pi / 3
d cons pi / 6

Answers

Answer:

sin (π/3)= √3/2

cos (π/6) =√3/2

A group contains n men and n women. How many ways are there to arrange these people in a row if the men and women alternate? Justify.

Answers

So, there are (n!)^2 ways to arrange n men and n women in a row if they alternate genders.

We need to use the principle of multiplication. We first choose the position of the first person in the row, which can be any of the n men or n women. Without loss of generality, let's say we choose a man. Then, for the next position, we need to choose a woman since we are alternating genders. There are n women to choose from. For the third position, we need to choose another man, and there are n-1 men left to choose from (since we already used one). For the fourth position, we need to choose another woman, and there are n-1 women left to choose from. We continue this pattern until all n men and n women are placed in the row.

Using the principle of multiplication, we can find the total number of ways to arrange the people by multiplying the number of choices at each step. Therefore, the total number of ways to arrange the people in a row if the men and women alternate is:

n * n-1 * n * n-1 * ... * 2 * 1

This can be simplified to:

(n!)^2

So, there are (n!)^2 ways to arrange n men and n women in a row if they alternate genders.

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that's it can you did it?​

that's it can you did it?

Answers

Answer:

no sorry

Step-by-step explanation:

i just need the points tho so thanks

Answer:

\( \sqrt[3]{16 {a}^{3} } = \sqrt[3]{2(8) {a}^{3} } = 2a\sqrt[3]{2} \)

I hope I helped you^_^

Which ratios is equivalent to 12 over 2 ?

Answers

Answer: 12:2, 6:1, 24:4

Step-by-step explanation:

Please do 25 and 26 or atleast one

Please do 25 and 26 or atleast one

Answers

For 25, I would begin with working out the difference in price.

$450 - $360 = $90

Then, $450 is 100% of the cost, therefore we want to know how much it has decreased.

I would work out 1% of $450. [$450 / 100 = $4.50]

Now if we divide $90 (the change in cost) by $4.50, we can tell what percent of a decrease we have.

90 / 4.5 = 20

Therefore we have a 20% decrease.

find an equation for the perpendicular bisector of the line segment whose endpoints are (-8,-5) and (-4,1)

Answers

Answer:

y = -x - 8

Step-by-step explanation:

Midpoint of the line:

x = (x1 + x2)/2 = (-8 + -4)/2 = -12/2 = -6

y = (y1 + y2)/2 = (-5 + 1)/2 = -4/2 = -2

so midpoint is (-6,-2)

Slope of the line: Slope m = (y2-y1)/(x2-x1)

m = (-1 - -5)/(-4 - -8) = (-1 + 5)/(-4 + 8) = 4/4 = 1

Perpendicular lines have slopes that are negative reciprocals of one another

so slope of the perpendicular line is -1/1 is -1

y = mx + b

y = -x + b

Using (-6,-2)

-2 = -(-6) + b

-2 = 6 + b

b = -8

so y = -x - 8

Answer:

\(y=\frac{3}{2}x-3\)

Step-by-step explanation:

Step 1: Perpendicular bisector

To find the perpendicular bisector of the segment, apply the midpoint formula:

\(\bigg(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\bigg)\)

Points: {(-8, -5, (-4, 1)}

x₁ = -8      first x value

x₂ = -4     second x value

y₁ = -5     first y value

y₂ = 1      second y value

Plug the points into the formula:

\(\bigg(\frac{-8+(-4)}{2}, \frac{-5+1}{2}\bigg)\)

Solve:

\(\bigg(\frac{-8+(-4)}{2}, \frac{-5+1}{2}\bigg)\)

\(=\bigg(\frac{-12}{2}, \frac{-4}{2}\bigg)\)

\(=(-6,-2)\)

The midpoint is (-6, -2).

Step 2: Slope

To find the slope (m), apply the formula:

\(\frac{y_2-y_1}{x_2-x_1}\)

(point location is the same as previous step)

Plug the points into the formula; then solve:

\(\frac{1-(-5)}{-4(-8)}\)

\(=\frac{6}{4}\)

\(m=\frac{3}{2}\)

The slope is 3/2

Step 3: Solving for b

\(y = mx+b\)

\(-6=\frac{3}{2}(-2)+b\)

\(\frac{3}{2}\left(-2\right)+b=-6\)

\(-\frac{3}{2}\cdot \:2+b=-6\)

\(-3+b=-6\)

\(-3+b+3=-6+3\)

\(b=-3\)

Therefore, the equation is \(\bold{-6=\frac{3}{2}(-2)-3}\)

what does the activity ratio measure in the value stream

Answers

The activity ratio in the value stream measures the efficiency of the production process by evaluating the ratio of value-added activities to non-value-added activities.

The activity ratio is a performance metric used in value stream mapping, which is a lean management tool for analyzing and improving the flow of materials and information in a production process.

It focuses on distinguishing value-added activities, which directly contribute to meeting customer requirements, from non-value-added activities, which do not add value but consume resources and time.

By calculating the activity ratio, organizations can assess the proportion of time and resources spent on value-added activities versus non-value-added activities.

A higher activity ratio indicates that a greater portion of resources is dedicated to value-added activities, indicating improved efficiency and reduced waste.

Conversely, a lower activity ratio suggests a higher proportion of resources being utilized for non-value-added activities, indicating potential areas for improvement and waste reduction.

The activity ratio serves as a valuable diagnostic tool for organizations to identify process inefficiencies, bottlenecks, and areas for improvement. By analyzing the activity ratio, organizations can streamline their processes, eliminate waste, and optimize resource allocation to enhance overall productivity and customer value.

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How do you know if a graph is wider or narrower than the parent function?

Answers

The parabola narrows as the quadratic coefficient increases. The parabola's width increases as the quadratic coefficient decreases.

Define the condition for wider graph of the parent function?

The graphs' width and whether or not they slant upward or downward depend on the quadratic term's coefficient, a for the parent function.

The parabola ends point up when the quadratic coefficient is positive.The parabola's ends point down when the quadratic coefficient is negative.The parabola narrows as the quadratic coefficient increases.The parabola's width increases as the quadratic coefficient decreases.The axis of symmetry is moved away from the y-axis by the linear-term coefficient b. The quadratic coefficient's sign and the linear coefficient's sign both affect the shift's direction.The y-intercept is impacted by the constant term c. The intercept point just on y-axis increases higher the higher the number is.

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A person is skateboarding to their local skate shop to pick up some sick rims. They skate at 8 miles per hour. The store is 2.5 miles away. How long will it take them to get to the store in hours?

Answers

Answer: 0.3125 hours

Step-by-step explanation:

The formula for time taken to cover a distance is:

= Distance / Speed

Distance = 2.5 miles

Speed = 8 miles per  hour

Time taken = 2.5 / 8

= 0.3125 hours

In minutes this is:

= 0.3125 * 60 mins

= 19 mins approx

In June, Clarissa used 1 gigabytes of data on her cell phone. Given that June has 30 days, how much data did she use on average per day?​

Answers

Answer: 33.33 megabytes per day

Step-by-step explanation:

From the question, we are informed that in June, Clarissa used 1 gigabytes of data on her cell phone. Since June has 30 days, the amount of data she uses on average per day? will be:

= 1000megabyte/30

= 33.33mb

Note that:

1000 megabytes = 1 gigabyte

The area of a rectangle is 280 and one dimension is 14. What is the other dimension?

Answers

Answer:

20

Step-by-step explanation:

280 divided by 14 is 20

Area= (length)(width)

280= (14)(x)

280=14x

divide by 14

20=x

Write an algebraic expression for the word phrase below.

twelve more than m machines

Answers

Answer:

12 + m

Step-by-step explanation:

it's 12 more, which would be +12 because it's adding 12

Hamid has gained weight.He now weighs 88kg,which is 10% higher than his normal weight.What is Hamids normal weight?

Hamid has gained weight.He now weighs 88kg,which is 10% higher than his normal weight.What is Hamids

Answers

Answer:

10÷100 x 88=8,8 this is the answers

pizzas. kids
3 7
_ _
_ _
_ _
_ _

pizzas. kids 3 7_ __ __ __ _

Answers

Answer:

pizza                 kids

3                          7

6                         14

12                        28

24                       56

48                       112

-----------------------------------------

:)

the answer above is correct. because you basically just have to multiply the number by 2!!

Write the linear equation for the graph of line q.

y = x+

Write the linear equation for the graph of line q.y = x+

Answers

find slope; -1/2
y intercept: 3

y = -.5x +3

There are two unit rates for every rate, true or false?

Answers

Answer:

True

Step-by-step explanation:

A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. This is not a ratio of two like units, such as shirts. This is a ratio of two unlike units: cents and ounces

it should be true. Let me know if I'm incorrect.

The area of a rectangle is 42 square centimeters it's length is 7 centimeters.

Answers

Answer:

6 cm

Step-by-step explanation:

A = l · w                     Substitute what you know A = 42; l = 7

42 = 7 ·w                   Solve

42/7 = w

6 = w                        cm · cm = cm²

An automatic machine in a manufacturing process is operating groperly if the iengths of an important subcomponent are normally distributed with a mean of izal cri and a otandard deviation of 5.6 cm. A. Find the probability that one selected subcomponent is longer than 122 cm, Probability = B3. Find the probability that if 3 subcomponents are randomly selected, their mean length exceeds 122 cm. Probability win C. Find the probabilify that if 3 are randomly selected, ail 3 have lengths that exceed 122 cm. Probability =

Answers

A. The probability that one selected subcomponent is longer than 122 cm can be found by calculating the area under the normal distribution curve to the right of 122 cm. We can use the z-score formula to standardize the value and then look up the corresponding probability in the standard normal distribution table.

z = (122 - μ) / σ = (122 - 100) / 5.6 = 3.93 (approx.)

Looking up the corresponding probability for a z-score of 3.93 in the standard normal distribution table, we find that it is approximately 0.9999. Therefore, the probability that one selected subcomponent is longer than 122 cm is approximately 0.9999 or 99.99%.

B. To find the probability that the mean length of three randomly selected subcomponents exceeds 122 cm, we need to consider the distribution of the sample mean. Since the sample size is 3 and the subcomponent lengths are normally distributed, the distribution of the sample mean will also be normal.

The mean of the sample mean will still be the same as the population mean, which is 100 cm. However, the standard deviation of the sample mean (also known as the standard error) will be the population standard deviation divided by the square root of the sample size.

Standard error = σ / √n = 5.6 / √3 ≈ 3.24 cm

Now we can calculate the z-score for a mean length of 122 cm:

z = (122 - μ) / standard error = (122 - 100) / 3.24 ≈ 6.79 (approx.)

Again, looking up the corresponding probability for a z-score of 6.79 in the standard normal distribution table, we find that it is extremely close to 1. Therefore, the probability that the mean length of three randomly selected subcomponents exceeds 122 cm is very close to 1 or 100%.

C. If we want to find the probability that all three randomly selected subcomponents have lengths exceeding 122 cm, we can use the probability from Part A and raise it to the power of the sample size since we need all three subcomponents to satisfy the condition.

Probability = (0.9999)^3 ≈ 0.9997

Therefore, the probability that if three subcomponents are randomly selected, all three of them have lengths that exceed 122 cm is approximately 0.9997 or 99.97%.

Based on the given information about the normal distribution of subcomponent lengths, we calculated the probabilities for different scenarios. We found that the probability of selecting a subcomponent longer than 122 cm is very high at 99.99%. Similarly, the probability of the mean length of three subcomponents exceeding 122 cm is also very high at 100%. Finally, the probability that all three randomly selected subcomponents have lengths exceeding 122 cm is approximately 99.97%. These probabilities provide insights into the performance of the automatic machine in terms of producing longer subcomponents.

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99% of all confidence intervals with a 99% confidence level should contain the population parameter of interest. true or false

Answers

The statement that 99% of all confidence intervals with a 99% confidence level should contain the population parameter of interest is false.

A confidence interval (CI) is essentially a range of estimates for an unknown parameter in frequentist statistics. The most frequent confidence level is 95%, but other levels, such 90% or 99%, are infrequently used for generating confidence intervals.

The confidence level is a measurement of the proportion of long-term associated CIs that include the parameter's true value. This is closely related to the moment-based estimate approach.

In a straightforward illustration, when the population mean is the quantity that needs to be estimated, the sample mean is a straightforward estimate. The population variance can also be calculated using the sample variance. Using the sample mean and the true mean's probability.

Hence we can generally infer that the given statement is false.

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i need help solving for these in seventh grade, petra was taught how to study and take notes, but she has never used those skills because she earned good grades without them. however, after failing her first two ap psychology exams, she begins to use these techniques for the first time and continues to use them after she is rewarded with higher grades. this is an example of complete the statement: typically, homemade explosives are produced from products that are: a. legally accessible in retail establishments across the country. b. available from a limited number of retailers who specialize in construction materials. c. controlled to prevent purchase without providing identification. d. purchased by individuals holding special permits. A) At 37 C, if the plasma pH is 7.40 and the plasma concentration of HCO3- is 28.0 mM, what is the plasma concentration of H2CO3? The pKa of carbonic acid is 3.57. Plasma concentration of H2CO3 = __________ mM? B) What is the plasma concentration of CO2(dissolved)? The equilibrium constant for the hydration of CO2 is 3.00 x 10^-3 at 37 degrees celsius. Plasma concentration of CO2(dissolved)= ____________mM? C) If metabolic activity changes the concentration of CO2 (dissolved) to 5.25 mM and [HCO3-] remains at 35.0 mM, what is the pH of the plasma? plasma pH= _______? please help:) Find the magnitude of vector v given that its component form is = (5,12). When drawing the Lewis structure of the H,CO molecule, the structure should represent a total of 12 valence electrons. Based on the elements present, a total of electrons are needed for a stable structure. Thus, there should be bonds in the structure, The ____... - atom should be in the center with ____... and _____. 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