Answer:
[tex]\mathbf{3x^2y^3+2xy^4=C}[/tex]
Step-by-step explanation:
From the differential equation given:
[tex]6xy^3 +2y ^4 +(9x^2y^2+8xy^3) y' = 0[/tex]
The equation above can be re-written as:
[tex]6xy^3 +2y^4 +(9x^2y^2+8xy^3)\dfrac{dy}{dx}=0[/tex]
[tex](6xy^3 +2y^4)dx +(9x^2y^2+8xy^3)dy=0[/tex]
Let assume that if function M(x,y) and N(x,y) are continuous and have continuous first-order partial derivatives.
Then;
M(x,y) dx + N (x,y)dy = 0; this is exact in R if and only if:
[tex]\dfrac{{\partial M }}{{\partial y }}= \dfrac{\partial N}{\partial x}}} \ \ \text{at each point of R}[/tex]
relating with equation M(x,y)dx + N(x,y) dy = 0
Then;
[tex]M(x,y) = 6xy^3 +2y^4\ and \ N(x,y) = 9x^2 y^2 +8xy^3[/tex]
So;
[tex]\dfrac{\partial M}{\partial y }= 18xy^3 +8y^3[/tex]
[tex]\dfrac{\partial N}{\partial y }[/tex]
Let's Integrate [tex]\dfrac{\partial F}{\partial x}= M(x,y)[/tex] with respect to x
Then;
[tex]F(x,y) = \int (6xy^3 +2y^4) \ dx[/tex]
[tex]F(x,y) = 3x^2 y^3 +2xy^4 +g(y)[/tex]
Now, we will have to differentiate the above equation with respect to y and set [tex]\dfrac{\partial F}{\partial x}= N(x,y)[/tex]; we have:
[tex]\dfrac{\partial F}{\partial y} = \dfrac{\partial}{\partial y } (3x^2y^3+2xy^4+g(y)) \\ \\ = 9x^2y^2 +8xy^3 +g'(y) \\ \\ 9x^2y^2 +8xy^3 +g'(y) =9x^2y^2 +8xy^3 \\ \\ g'(y) = 0 \\ \\ g(y) = C_1[/tex]
Hence, [tex]F(x,y) = 3x^2y^3 +2xy^4 +g(y) \\ \\ F(x,y) = 3x^2y^3 + 2xy^4 +C_1[/tex]
Finally; the general solution to the equation is:
[tex]\mathbf{3x^2y^3+2xy^4=C}[/tex]
Researchers conducted a study to determine whether the majority of community college students plan to vote in the next presidential election. They surveyed 650 randomly selected community college students and found that 55% of them plan to vote.
Which of the following are the appropriate null and alternative hypotheses for this research question?
A)
0: =0.50
: ≠0.50
B)
0: =0.50
: >0.50
C)
0: =0.55
: ≠0.55
D)
0: =0.55
: >0.55
Answer is:
B
Answer:
[tex]H_{0} = 0.5[/tex]
[tex]H_{a} > 0.5[/tex]
Option b
Step-by-step explanation:
Researchers conducted a study to determine whether the majority of community college students plan to vote in the next presidential election.
The null hypothesis is always an equalityu related to the expected, or tested value. In this question, the tested value is half of the students, a proportion of 0.5, that is: [tex]H_{0} = 0.5[/tex]
The alternate hypothesis is related to the test we are taking. In this question, we are testing if the majority of the students plan to vote, that is, if the proportion of the students that plan to vote is higher than 0.5. So [tex]H_{a} > 0.5[/tex]
So the correct answer is given by option B.
If a regression analysis shows an R factor of 0.15, it is safe to assume a perfect positive relationship between cost and volume. a strong negative relationship between cost and volume. a strong positive relationship between cost and volume. a very weak relationship between cost and volume.
Answer:
a very weak relationship between cost and volume
Step-by-step explanation:
The R factor is used to access the strength of the relationship between a dependent and independent variable. The R factor ranges between - 1 and 1. With negative values depicting a negative linear relationship and positive values meaning a positive relationship. The closer the R factor is to - 1 or + 1, the greater the strength, a value of 0 means, no correlation exists.
Hence, a R factor of 0.15 depicts a positive but very weak relationship between cost and volume as the R value is close to 0.
Which digit in the following number is the one that determines its precision? 2801.3
The answers 3
Answer:
3
Step-by-step explanation:
what is the volume of a hemisphere with a diameter of 41.6m, rounded to the nearest 10th of a cubic meter
Explanation is in the file
tinyurl.com/wtjfavyw
Simplify the expression.
4.6r + 2.8r
. Robbie decides to make 12 batches of chicken noodle soup. How much ground black pepper should he use? ( THERE ARE 1/8 TEASPOON OF GROUNDPM PEPPER IN ONE BATCH) pls put in fraction form
the answer for your question is 1 1/2
Each side of a square piece of glass is 8 centimeters long. What is the piece of glass's area?
Answer:
area=l²
l=8
area=8²
=8×8
=64
The piece of glass's area is is 64 square cm.
What is the length of the square?Diagonals of a Square A square has two diagonals, they are equal in length and intersect in the middle.
The length of square is given by;
[tex]\rm Length =a^2[/tex]
Each side of a square piece of glass is 8 centimeters long.
The piece of glass's area is;
[tex]\rm Glass \ area=a^2\\\\ Glass \ area=8^2\\\\ Glass \ area=64[/tex]
Hence, the piece of glass's area is is 64 square cm.
Learn more about square length here;
https://brainly.com/question/11472698
#SPJ2
Solve for X in the figure below, knowing line L is parallel to line M. Thank You!
Answer:
3x+5= 65°( alternate interior angles)
3x=60
x=60/3=20°
Step-by-step explanation:
Answer:
x = 18.67
Step-by-step explanation:
3x + 5 = 61
-5 -5
3x = 56
divide by 3
x = 18.67
help me i am gonna give points to the people give me correct answer
Answer:
lol
Step-by-step explanation:
Answer:
Arjan should look for other cards that add up to $$94%
Step-by-step explanation:
I don't know it but I guess this one, let me know if it help
An elliptical table is being cut from a rectangular piece of wood that is 12 feet by 10 feet. Legs of the table will be
attached at the foci. Which equation models the largest ellipse that can be cut from the rectangle and describes
where the legs will be attached?
Answer:
B on edge
Step-by-step explanation:
just got it wrong
3. Temperature
(THIS IS NOT A MULTIPLE CHOICE)
Answer:
a) clusters: none, gaps: 99, and 100, peaks: 101, outliers: none.
b) center of distribution:
median: 101, mean: 99.9090.
(a)
The outliers are the values that are far from the middle.
In this case, the outliers are 97, 98, 98, 98.
A cluster occurs when the data occurs within a small interval.
In this case, there's a cluster between 100 and 102.
According to the dot plot, there's a gap from 98 to 101.
At last, the peak is at 101, which is the value with the highest frequency.
(b)
The given data set doesn't form a normal distribution because there's no data in the middle of the data set, instead, there's a gap. Additionally, the spread or range of the data set is 5, where the majority of the data is not in the middle which mean the dispersion of the data is important.
PLS HELP WILL GET BRAINIEST A'B'C'is a translation of ABC. What is the length of A'C'?
Answer:
6 units
Step-by-step explanation:
There is only a translation being shown, meaning that the shape is only moving. It is not getting larger or smaller.
Answer:
your answer will be option C.6
because the length does not change on translation
Step-by-step explanation:
have a nice day
help pleaseee i need this
Consider circle E.
A
B
26
D
E
F
What is the mBC ?
mBC
Please help
Step-by-step explanation:
< AEB + < BEC = 180° {BEING LINEAR PAIR }
26° + < BEC = 180°
< BEC = 180° - 26°
< BEC = 154°
ARC BC = < BEC ( relation between arc and central angle)
Arc BC = 154°
Hope it will help :)
Edgenutiy which triangle is a 30 60 90
Answer:
yeah its a right triangle
Step-by-step explanation:
If there’s 30 candies in 1.5 ounce bag how many candies are in a 4.2 ounce bag
Answer:
84 candies in a 4.2 ounce bag
Step-by-step explanation:
30/1.5 = 20 candies per ounce
20(4.2) = 84 candies in a 4.2 ounce bag
Find the difference f(x) - g(x) for functions f(x) = 6x^{2} + 2x -14 and g(x) = -x^{2} + 10x - 4
5x^{2} + 8x - 10
5x^{2} + 12x - 18
-7x^{2} + 12x - 18
7x^{2} - 8x - 10
Answer:
Your answer is the 4th one , 7xpower2 - 8 x - 10
code is formed using four of these letters: A, B, I. K, N, O, and T. (Note that the order of the letters in the code matters; for example, ABIK
different code from BAIK.
The size of the sample space is
. The probability that the first three letters of the four-letter code are vowels is
Answer:
The size of the sample is 840.
The probability that the first three letters of the four-letter code are vowels is=\frac{1}{35}=
35
1
Step-by-step explanation:
Th total number of letters given to form code of 4 letters = 7
Since, the order of the letters in the code matters, which means there is no repetition.
The total number of ways to form the code size =7*6*5*4=8407∗6∗5∗4=840
Therefore, The size of the sample is 840.
Since, there are 3 vowels and rest of 4 letters are consonant.
The number of ways to form code such that the first three letters of the four-letter code are vowels =3\times2\times1\times4=243×2×1×4=24
The probability that the first three letters of the four-letter code are vowels is
=\frac{24}{840}=\frac{1}{35}
840
24
=
35
1
Help please i'll give you brainliest
The number of cars in 25 families is shown in the table. Calculate the mean number of cars in a family.
No of cars Frequency
1 5
2 10
3 7
4 2
5 1
Answer:
Mean = 11.8
Step-by-step explanation:
Given the following data;
Total number of cars (n) = 5
Number of cars (x) = 1, 2, 3, 4, 5
Frequency (F) = 5, 10, 7, 2, 1
F(x) = (1*5) + (2*10) + (3*7) + (4*2) + (5*1)
F(x) = 5 + 20 + 21 + 8 + 5
F(x) = 59
To find the mean;
Mean = F(x)/n
Mean = 59/5
Mean = 11.8
5=10+n/6
5(6)=10+n(6)
30=10+n
-10 -10
Answer: sooooo....... the answer is n=20
Step-by-step explanation: did you really needed the answer for this?
Answer:
n = -30
Step-by-step explanation:
5 = 10 + n/6
-5 = n/6
n = -30
Find the arithmetic series a=2 d=5 n=20 find Sn
Step-by-step explanation:
Sn=n/2{2a+(n-1)d}
=10(4+95)
=10(99)
=990
The image shows the first parade float the students decorate.
What is the volume of the float?
Answer:
312 ft³
Step-by-step explanation:
4x4x6=96
12x6x3=216
96+216=312
What is the median of this set of data?
362, 187, 211, 298, 331, 250, 347, 199
Answer:
274
Step-by-step explanation:
Hey There!
So if you didnt know the median is the middle number ( in value) of the set
So first we would like to arrange the numbers in order from least to greatest
187 , 199 , 211 , 250 , 298 , 331 , 347 , 362
Then we take the middle number(s)
if there is just one then that is the answer but if there is two than we add them together and divide that by 2
In this case there are two which would be 250 and 298
So we add them together
250+298=548
Then we just divide that by 2
[tex]\frac{548}{2} =274[/tex]
Therefore the median is 274
hope this helps :)
Step-by-step explanation:
l hope this answer is helpful to you
What is the measure of angle R?
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
mZR
=
Answer:
m<R = 22.62°
Step-by-step explanation:
Reference angle = R
Opposite = 5 cm
Hypotenuse = 13 cm
Apply the trigonometric function SOH:
Sin R = Opp/Hyp
[tex] Sin (R) = \frac{5}{13} [/tex]
[tex] R = sin^{-1}(\frac{5}{13}) [/tex]
R = 22.6198649°
m<R = 22.62° (nearest hundredth)
3x2^+2(x+4x) when x=2
Answer:
32
Step-by-step explanation:
Given the algebraic expression;
[tex] 3x^{2} + 2(x + 4x) = 0 [/tex]
When x = 2
It simply means that we would substitute the value of x into the equation.
[tex] 3*2^{2} + 2(2 + 4*2) [/tex]
[tex] 3*4 + 2(2 + 8) [/tex]
[tex] 12 + 2(10) [/tex]
[tex] 12 + 20 [/tex]
[tex] 12 + 20 = 32 [/tex]
find the area of iscolces triangle 13cm
b=2A
hb
For an isosceles triangle, the area can be easily calculated if the height (i.e. the altitude) and the base are known. Multiplying the height with the base and dividing it by 2, results in the area of the isosceles triangle.
Which graph shows an increasing linear function? p.s dont mind the tabs lol!!!
Solve these and show your work pls!
Answer :the 1st and 3rd are true
Step-by-step explanation:
you do the math how their set up so just right those and you can get your answer that way. (if your adding a positive and negative your basically subtracting so just write in the order their in; if you subtracting a negative from a positive it equals a positive; if your subtracting a negative from a negative or the answer is positive; if your subtracting a positive from a negative its negative) i hope this helps if u have any more questions just message me and i will be happy to help you anytime!!! <3
Tell whether c = 3 is a solution of c + 7 = 10.
a) Yes
b) No
Answer:
a) Yes
Step-by-step explanation:
Because, 3+7=10
Answer: yes
Explanation: In this problem, to determine whether c = 3
is a solution to the equation, we substitute 3 in for c.
So we have (3) + 7 = 10.
Simplifying the left side of the equation, (3) + 7 is 10.
So we have 10 = 10 which is a true statement so our answer is yes.