Answer:
Step-by-step explanation:
Please clarify the Question
dy/dx=2xy/x²+y² solve
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]
2/4 of Zaria's hair bows are pink, 1/4 are purple, and the rest are orange. What fraction of Zaria's hair bows are orange?
James had a large bag of raisins. He ate
3/4
of it. Then, he shared the rest of the raisins with 2 friends and himself (3 people in total). What portion of the whole bag of raisins did each of his friends get? Choose the numbers to complete the fraction?
Choose...
Choose...
PLEASE HELP ASAP
Answer:
1/12
Step-by-step explanation:
3/4=9/12
12/12-9/12=3/12
(3/12)/3=1/12
Answer:
The friend both get 1/12
Step-by-step explanation:
Hope this helps!
Sylvan drove 128.6 km each day for 8 days. He drove 44.3 km each day for 12 days. What was the total distance Sylvan drove?
Answer:
If x and y are the hours she drove at the different rates, then:
x+y=5
80x+100y=440
-------
80x+100y=440
80x+80y=400
20y=40
y=2
x=3
She drove 3 hours at 80 kmh and 2 hours at 100kmh!!!!!!!
Step-by-step explanation:
Write an
equation and solve.
Ten less than five times a number is 45. the equation is
(x*5)-10=45=equation
im extra so x would be 7
can somebody help me?
Answer:
1 and 2
Step-by-step explanation:
HELP ASAP !!!
Which of the following are identities? Check all that apply.
Answer:
A,CAND D
Step-by-step explanation:
ADD ME AS BRAINLIEST
Answer:
they should all be checked
Step-by-step explanation:
ap3x
What is the slope of the line that passes through the points
(-16, -5) & (-15, -7)
Answer:
slope=-2
Step-by-step explanation:
Okay so we just take those coordinates and apply them to this formula:
y2-y1/x2-1
then simplify to get -2
if you want me to elaborate just say the word
does 5+4=8 and does 1+1=2
Answer:
5 + 4 = 8 (False)
1 + 1 = 2 (True)
Step-by-step explanation:
First Case:
5+4=8
No this is not correct as when 5 is added to 4 then the result should be - (1+1+1+1+1) + (1+1+1+1)
= 1 + 1 + 1 + 1 + 1 + 1 + 1 +1 +1
= 9
So this is not correct.
Second Case:
1 + 1 = 2
Yes this is correct when 1 and 1 are added for two times it results in 2.
Jayden has $10 in a savings account. The interest rate is 5%, compounded annually.
To the nearest cent, how much interest will he earn in 2 years?
$
Submit
Answer:
$1
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year,
then, solving our equation
I = 10 × 0.05 × 2 = 1
I = $ 1.00
The simple interest accumulated
on a principal of $ 10.00
at a rate of 5% per year
for 2 years is $ 1.00.
A college student takes the same number of credits each semester. She had 12 credits when she started, and after 6
semesters, she had 96 credits.
Which of these expresses the rate at which she is earning credits?
Answer:
x = 14
Step-by-step explanation:
Credits = 12 Semesters = 6 Total Credits = 96
6x = 96 - 12
6x = 84
Divide 6x = 84 by 6.
x = 14
[tex]\frac{96 credits-12 credits}{6 semesters} =\frac{84 credits}{6 credits} = \frac{14 credits}{1 semester}[/tex]
evaluate 3× +7 for x=5.
Answer:
The answer is 22!
Step-by-step explanation:
3*5 = 15, 15+7 = 22
Brainliest pls! :D
Plz help solve this math problem
Answer:
3 8/9
Can I get Brainliest?
Answer:
3 8/9
Step-by-step explanation:
9 goes into 35 3 times with a remainder of 8
A triangle has side lengths of 13 cm and 6 cm. Which could be the value of the third side, 21 cm or 17 cm?
Answer:
No
FDSAdsadasdsadaaaaaaaaaaaaaaa
help with number 5 please
Answer:
60
Step-by-step explanation:
Rosie bought 1 2/5 pounds of cantaloupe. She also bought watermelons that were 3 1/3 times the weight of the cantaloupes. How much did the watermelons weigh?
Answer:
4 2/3 pounds of watermelon.
--
I hope this helped you!
how do I add this? 1 3/4 + 3 2/8
Answer:
5
Step-by-step explanation:
Answer:
The answer would be 5
Step-by-step explanation:
What is the difference between the two slopes? Chris (4, -3) and (6, 9) Amelia (-1, 6) and (1, 4) this is slope
Can some please help and if you get it right I will mark Brainly!!!
Answer:
(2, 7)
Step-by-step explanation:
bc if you plug in the points into the equation you get 3(2)+4(7) is greater or equal to 20. 3(2)+4(7) is 34 and that is greater than 20
Riley bought 50 foot or rope. He cut off pieces that total 34’8” so far. How much rope does he have left
Answer:
the answer is 15'2" of the rope that is left
Step-by-step explanation:
Question 1 of 10
The graphs below have the same shape. What is the equation of the red
graph?
f(x) = 4 – x²
g(x) = ?
g(x) =
How many solutions does this system have?
->
2x-3y = 10
-4x+6y=-20
one
two
an infinite number
no solution
Answer: I think there is only one
Step-by-step explanation:
Answer:
an infinite number
Step-by-step explanation:
Let's solve for y for both equations.
[tex]2x-3y=10\\-3y=10-2x\\y=\frac{2}{3}x-\frac{10}{3}[/tex]
[tex]-4x+6y=-20\\6y=4x-20\\y=\frac{4}{6} x-\frac{20}{6}[/tex]
By reducing fractions we get:
[tex]y=\frac{2}{3}x- \frac{10}{3}[/tex]
These two equations are EXACTLY the same.
Therefore, this system has an infinite number amount of solutions.
Using desmos graphing calculator, you can't see both lines because they're exactly the same line.
why is angle 3 congruent to angle 7?
Answer:
they are congruent because they are corresponding angles
Step-by-step explanation:
We need a rock garden with a perimeter of 12 feet and an area of 8 square feet
Length: Feet
Width: Feet
Answer:
Length: 4 feet
Width: 2 feet
Step-by-step explanation:
The only possibilities that could get an area of 8 feet are 4 x 2 and 8 x 1
However, it has to be 4 x 2 because the 8 x 1 dimension won't have a perimeter of 12 feet.
The dimensions of 4 x 2 will have an area of 8 square feet, since 4(2) = 8
It will also have a perimeter of 12 feet because 4 + 4 + 2 + 2 = 12
So, the length is 4 feet and the width is 2 feet
I have no idea what to do
Answer:
the second is correct
Step-by-step explanation:
choose as brainliest
The national weather service reports the daily temperature in degrees
Fahrenheit. The scientific community reports temperature in degrees Celsius.
The formula F = 1.8C + 32 relates Celsius, C, to Fahrenheit F Solve the formula
for C.
Answer:
[tex]C =\frac{5}{9}(F - 32)[/tex]
Step-by-step explanation:
Given
[tex]F = 1.8C + 32[/tex]
Required
Solve for C
[tex]F = 1.8C + 32[/tex]
Subtract 32 from both sides
[tex]F-32 = 1.8C + 32-32[/tex]
[tex]F-32 = 1.8C[/tex]
Divide both sides by 1.8
[tex]\frac{1}{1.8}(F - 32) = C[/tex]
Express the decimal as fraction
[tex]\frac{1}{18/10}(F - 32) = C[/tex]
[tex]\frac{10}{18}(F - 32) = C[/tex]
Simplify
[tex]\frac{5}{9}(F - 32) = C[/tex]
[tex]C =\frac{5}{9}(F - 32)[/tex]
what does it mean to be a solution to an inequality
Answer:
Rule 1. Adding/subtracting the same number on both sides.
Example: The inequality x-2>5 has the same answer as the inequality x > 7.
Rule 2. Switching sides and changing the orientation of the inequality sign.
Example: The inequality 5-x> 4 has the same solutions as the inequality 4 < 5 - x.
Done ✔
is this right ? if not please help me !
ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
What’s the meaning of elimination in English?
[tex] \huge \sf \ \star \purple{Answer} \star[/tex]
the act, process, or an instance of eliminating or discharging: such as. a : the act of discharging or excreting waste products from the body
the act, process, or an instance of eliminating or discharging: such as. a : the act of discharging or excreting waste products from the body.
orElimination is the process of getting rid of something, whether it's waste, errors, or the competition. Elimination comes from the Latin word limen, which means threshold. The Romans added an “e” to the beginning and created the verb eliminare, which means to banish or to push over the threshold and out the door.
[tex] \huge{ \bf \color{red}{hope \: it \: helps}}[/tex]
Juhi sells a washing machine for Rs 13500. She loses 20% in the bargain . What was the price at which she bought it
➽ Let the cost price of the washing machine be a variable and apply the condition that the loss Juhi faced was 20% of the cost price, i.e., Rs. 13,500 is 80% of the cost price to form an equation. Solve the equation to get the answer.
Solution :➽ The selling price of the washing machine after bargain = Rs 13, 500
➽ percentage of loss she had in the bargain = 20 %
let the price paid by juhi be x
➽ Now interpreting the statement in the question
in mathematical form we get :
[tex] \implies[/tex] loss = Rs 2 / 10 × 2
[tex] \implies[/tex] Loss = Rs 2 / 10 × x
➽ According to the simple marketing norm, if we subtract the loss from the buying price, we will be getting the selling price for which Juhi sold the washing machine.
Profit / loss = purchasing price - Selling price
Substituting the values the above equation, we get;
[tex] \implies[/tex] 2 x / 10 = x - 13500
[tex] \implies[/tex] 2 x / 10 = x - 13500 / 2
On cross-multiplication, we get;
2 x = 10 ( x - 13500 )
[tex] \implies[/tex] 2 x = 10 x - 13500
[tex] \implies[/tex] 8 x = 13500
∴ x = 13500 / 8 = 16875
∴ Hence the price that Juhi paid for buying the Washing machine was Rs. 16,875.Additional information :
❑ Don’t get confused and take the 20% of the selling price while you solve, as you should be very clear that the percentage loss or profit are terms related to the actual pricing not to the price for which you crack the deal. The other way of thinking of this is that the selling price might vary from buyer to buyer depending on the bargain they put in, but the percentage should be defined from a fixed mark so that you can easily handle it. The reason that most products in the market have an MRP tag on it making it easier for all the sellers to handle their margins.