Answer:
[tex]y=\frac{-1}{2} \sqrt[]{4x^2+4c_{1}^2} -c_{1}\ or \ \frac{1}{2} \sqrt[]{4x^2+4c_{1}^2} -c_{1}[/tex]
Step-by-step explanation:
As it is first order nonlinear ordinary differential equation
Let y(x) = x v(x)
2xy/(x²+y²)=2v/(v^2+1)
dy=xdv+vdx
dy/dx=d(dv/dx)+v
x(dv/dx)+v=(2v)/(v^2+1)
dv/dx=[(2v)/(v^2+1)-v]/x
[tex]\frac{dv}{dx}=\frac{-(v^2-1)v}{x(v^2+1)}[/tex]
[tex]\frac{v^2+1}{(v^2-1)v}dv=\frac{-1}{x}dx[/tex]
∫[tex]\frac{v^2+1}{(v^2-1)v}dv[/tex] = ∫[tex]\frac{-1}{x}dx[/tex]u=v^2
du=2vdv
Left hand side:
∫[tex]\frac{v^2+1}{v(v^2-1)}dv[/tex]
=∫[tex]\frac{u+1}{2u(u-1)}du[/tex]
=[tex]\frac{1}{2}[/tex]∫[tex](\frac{2}{u-1} -\frac{1}{u} )du[/tex]
=[tex]ln(u-1)-\frac{ln(u)}{2} +c[/tex]
=[tex]ln(v^2-1)-\frac{ln(v^2)}{2}+c[/tex]
Right hand side:
[tex]=-ln(x)[/tex]
Solve for v:
[tex]v=-\frac{-c_{1}+\sqrt{c_{2}+4x^2 } }{2x} \ or \ \frac{-c_{1}+\sqrt{c_{2}+4x^2 } }{2x}\\[/tex]
[tex]y=\frac{-1}{2} \sqrt[]{4x^2+4c_{1}^2} -c_{1}\ or \ \frac{1}{2} \sqrt[]{4x^2+4c_{1}^2} -c_{1}[/tex]
c) 20 blank CD-Roms cost £3.20
How much do 75 CD-Roms cost?
Answer:
the cost of 75 CD Roms is £12
Step-by-step explanation:
The computation of the 75 CD roms cost is shown below:
Since it is mentioned that
for 20 blank CD roms it cost £3.20
So for 75 CD Roms, the cost would be
= £3.20 × 75 ÷ 20
= £12
Hence, the cost of 75 CD Roms is £12
Which number line shows the solution to the inequality 9x-4<5? I NEED IT ASAP PLSS free 15 points
Answer:
B would be your answer I think Don't hold me to it!
Step-by-step explanation:
Answer:B -4-2 0 2 4
Step-by-step explanation:
How many miles will Mrs. Garcia drive in eight hours if she is traveling 65 mph? _ miles
Answer:
she would probably drive 520 miles in she is driving 65 mph for a whole 8 hours
Step-by-step explanation:
Answer:
520
Step-by-step explanation:
This is a very simple explanation.
Mrs. Garcia drives eight hours...at 65mphs throughout the trip.
How many miles has she drove?
All you need to do is multiply 8x65 and you will get 520.
Mrs. Garcia drove a total of 520 miles.
How much will the class members earn if they spend six weeks doing yard work? How much will they earn if they spend six weeks having a car wash
Use the number line to complete the statements.
The opposite of 4 is ____.
(1). -8
(2). -4
(3). 0
(4). 4
The opposite of –8 is _____.
(1). -8
(2). 0
(3). 4
(4). 8
Answer:
(2). -4
(4). 8
Step-by-step explanation:
The opposite of a negative or positive number will always be it's absolute value.
1. Lisa drives her car 46 km south and then 13 km east.
How far is she from her starting point?
Show work
I need the answer please help
Answer:
Check pdf
Step-by-step explanation:
A report describes the results of a large survey that was conducted for the Center for Disease Control (CDC). The sample was selected in a way that the CDC believed would result in a sample that was representative of adult Americans. One question on the survey asked respondents if they had learned something new about a health issue or disease from a TV show in the previous 6 months. Data from the survey was used to estimate the following probabilities, where
L = outcome that a randomly selected adult American reports learning something new about a health issue or disease from a TV show in the previous 6 months
and
F = outcome that a randomly selected adult American is female
Data from the survey were used to estimate the following probabilities:
P(L)= 0.58 P(F)= 0.50 P(L and F)= 0.31
Are the outcomes L and F independent? Use probabilities to justify your answer.
Answer:
Since [tex]P(L \cap F) \neq P(L)P(F)[/tex], the outcomes L and F are not independent.
Step-by-step explanation:
Independent events:
Two events, A and B are independent, if:
[tex]P(A \cap B) = P(A)P(B)[/tex]
Are the outcomes L and F independent?
We are given that:
[tex]P(L \cap F) = 0.31[/tex]
Multiplication of the probabilities:
[tex]P(L)P(F) = 0.58*0.5 = 0.29[/tex]
Since [tex]P(L \cap F) \neq P(L)P(F)[/tex], the outcomes L and F are not independent.
I need help doing this please
Step-by-step explanation:
what is the question asking
PLEASE HELP IF POSSIBLE, ASAP!!!!!!!! :)
The Sum of all 3 needs to equal 1
A. 1/9 + 1/2 + 1/3 = 17/18
B. 1/9 + 2/9 + 1/3 = 6/9 = 2/3
C. 1/6 + 3/9 + 1/3 = 3/18 + 6/18 + 6/18 = 15/18
D. 2/9 + 8/18 + 1/3 = 4/18 + 8/18 + 6/18 = 18/18 = 1
The answer is D
I don't know what to do
Use the distributive property to write an equivalent expression. (6+8)x 2
13 + 4 (2x + 5)
Help pls
Answer:
8x + 33
Solution:
13 + 4 (2x+5)
4 • 2x = 8x
4 • 5 = 20
20 + 15 = 33
8x + 33 Is your answer
PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((
what is the median of 6 8 10 12 12 15 15 20?
Answer:
I think is 12..........
Answer:
It‘s either 12 or 12.5
Step-by-step explanation:
Another game you’ve set up at casino night involves rolling a fair six-sided die followed by tossing a fair coin. In this game, players earn points depending on the number they get on the die and which side of the coin turns up. For example, the player earns 5 points for getting (2, tails) Question 5 Find the probability that the outcome is either tails with any number, or heads with a number grater than 1
Answer:
tails with any number is 1/2, heads with greater than 1 is .4125
Step-by-step explanation:
Which statements describe valid ways to rewrite a percent as a fraction? Check all that apply.
Write a fraction using the percent over 10 and simplify.
Write a fraction using the percent over 100 and simplify.
Divide the percent by 100, write it as a fraction, and simplify.
Multiply the percent by 100, write it as a fraction, and simplify.
Answer:
Write a fraction using the percent over 100 and simplify. AND. Divide the percent by 100, write it as a fraction, and simplify.
Step-by-step explanation:
Let's test all the answers and see which statements are true.
Let's just use 50 as the percent to test it. These statements should end up looking like [tex]\frac{1}{2}[/tex]
Write a fraction using the percent over 10 and simplify.
[tex]\frac{50}{10} =5[/tex], half of ten is 5, so this makes it invalid.
Write a fraction using the percent over 100 and simplify.
[tex]\frac{50}{100} =\frac{1}{2}[/tex], this is valid.
Divide the percent by 100, write it as a fraction, and simplify.
[tex]\frac{50}{100} =\frac{1}{2}[/tex], valid!
Multiply the percent by 100, write it as a fraction, and simplify.
[tex]50*100=500[/tex], invalid.
The two valid statements are: Write a fraction using the percent over 100 and simplify. AND. Divide the percent by 100, write it as a fraction, and simplify.
Answer:
abc
Step-by-step explanation:
Can someone help me I don’t know how to do this it’s hard and confusing me
9514 1404 393
Answer:
increasing on 0 < x < 2f(2) = 4decreasing on 2 < x < 5Step-by-step explanation:
You need to know that an even function is symmetrical about the y-axis. The graph to the right of the y-axis is the mirror image of the graph to the left. With that in mind, the questions are easily answered.
It might help to draw the function graph, as we did in the attached. Then it is more straightforward to see what is happening in each of the intervals.
The function is increasing in the interval 0 < x < 2.
The function value at x=2 is 4: f(2) = 4.
The function is decreasing in the interval 2 < x < 5.
Formula for area the area of a triangle
I seriously need help with this. I pay attention in class it's just so confusing!! I'm giving extra points. Now 15. Please tell the truth <3
Answer:
D
Step-by-step explanation:
Its D because A is all 90 degrees
Not C because all 90
help me please asap!!!
Answer:
122°
Step-by-step explanation:
<ADC is an inscribed angle and its measure is equal to half of the arc it sees (minor arc AC)
if ADC is 61° then minor arc AC is 2 × 61 = 122
ABC is the center angle and so its measure is equal to the arc it sees which is 122°
Write the expression 12 x 4^2 in words
Answer and Step-by-step explanation:
Twelve times four squared.
This is how you would write the expression in word format.
#teamtrees #PAW (Plant And Water)
Answer:
Twelve times four squared.
Step-by-step explanation:
3. Mrs. Hilt has a pizza that is 35 inches in diameter. What is the radius of that pizza?
In a school of 330 students, 85 of them are in the drama club,
200 of them are in a sports team and 60 students do drama and sports.
Find the probability that a student chosen at random isn't in the drama club
or in a sports team.
You may wish to complete the Venn diagram to help you.
E
Drama
Sports
Question Feedback
Answer:
7/22
Step-by-step explanation:
From the question given above, the following data were:
Drama n(D) = 25
Sport n(S) = 140
Both drama and sport n(DnS) = 60
Not in drama or sport n(DnS)ᶜ = 105
Total or sample space n(S) = 330
Probability of not in drama or sport P(DnS)ᶜ =?
The probability that the student chosen is not in drama or sport can be obtained as follow:
P(DnS)ᶜ = n(DnS)ᶜ / nS
P(DnS)ᶜ = 105 / 330
Express the above to its lowest terms
P(DnS)ᶜ = 7/22
Therefore, the probability that the student chosen is not in drama or sport is 7/22
Help! I’ll reward brainest its pretty easy
Help!! Pythagorean theorem
Answer:
The Pythagorean theorem only works for right triangles. This is not a right triangle.
x = 23
All interior angles of a triangle = 180 degrees.
A + B + C + 180
(3x) + (2x+12) + (2x+7) = 180
7x + 19 = 180
7x = 161
x = 23
A = 3(23) = 69 degrees
B = 2(23) + 12 =58 degrees
C = 2(23) + 7 = 53 degrees
Answer:
x=23
Step-by-step explanation:
u see this is how the Pythagorean theorem works a^2 + b^2 = c^ i hope this helps have a great day bye please mark as brainliest :D
Five houses in the neighborhood sold this month for the following prices:
$328,000, $297,500, $415,000, $389,000, $345,000.
The house with the highest selling price sold for how much more than the median selling price?
Answer:
70,000
Step-by-step explanation:
Median= 345,000
Higest selling house= 415,000
415,000-345,000= 70,000
Write the fraction 1/5 as a percent.
Answer:
20%
Step-by-step explanation:
Brenda sells necklaces at the 23rd Street Flea market. It costs her $10.00 in materials to make the necklaces. She decides to mark-up the price of her ned
by 75% to make a profit. An hour before the flea market closes she decided to reduce the leftover necklaces by 20% from the morning's price. How much
she selling her necklaces at the end of the day?
$20.00
Answer:
$ 14.00
Step-by-step explanation:
10 · 1.75 = 17.50
17.50 · .20 = 3.5
17.50 - 3.50 = 14.00
good luck, i hope this helps :)
How do u turn 4 into a fraction
Answer:
4/1
Step-by-step explanation:
Multiply both the numerator and denominator by the value you chose in step 2. So to turn the whole number 4 into halves, you would multiply 4/1 by 2/2 and reach a value of 8/2. This completes the conversion of the whole number four into a fraction.
Answer:
4/1
Step-by-step explanation:
u put it over 1. Any whole number over one is considered a fraction, but its still the same number.