The indicated function
y1(x)
is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2,
y2 = y1(x)
e−∫P(x) dx
y
2
1
(x)
dx
(5)
as instructed, to find a second solution
y2(x).
x2y'' + 2xy' − 6y = 0; y1 = x2
y2 =
The indicated function y1(x) is a solution of the given differential equation, the second solution is mathematically given as
[tex]y2=\frac{-1}{5x^2}[/tex]
What is the second solution?Generally, the equation for the differential equation is mathematically given as
x^2y^2+2xy1-6y=0
Where
p(x)=2/x
[tex]y_2=y_1\inte\frac{p(x)dx}{y1^2}dx\\\\\int{1/y1^2e^{\intp(x)dx}}dx=\int1/x^4.xe^{-2/x dx}dx\\\\\int{1/y1^2e^{\intp(x)dx}}dx=\int1/x^4.xe^{-2logx}dx\\\\\int{1/y1^2e^{\intp(x)dx}}dx=\int1/x^4.x * x^{-2}dx[/tex]
y2=x^2*-1/5x^5=-1/5x^3
[tex]y2=\frac{-1}{5x^2}[/tex]
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-37+n=-56 for n how do I solve this
3 n - 5 p + 2 n = 10 p for n
Answer:
n = 3p
Step-by-step explanation:
3n + 2n - 5p = 10p
5n - 5p = 10p
5n = 15p
n = 3p
Answer:
1n = 5p
Step-by-step explanation:
Dose the table represent a function?
Answer:
You can also use tables to represent functions. Instead of using two ovals with circles, a table organizes the input and output values with columns. ... Remember, a function can only assign an input value to one output value. If you see the same x-value with more than one y-value, the table does not represent a function. so yeah it does represent a function.
Hope this helps, have a great day/night and stay safe!
(n-8)-(-2-2n) = what?
Answer:
3n−6
Step-by-step explanation:
n−8−(−2−2n)
Distribute the Negative Sign:
=n−8+−1(−2−2n)
=n+−8+(−1)(−2)+−1(−2n)
=n+−8+2+2n
Combine Like Terms:
=n+−8+2+2n
=(n+2n)+(−8+2)
=3n+ (−6 )
ANSWER:
3n−6
Solve the inequality below, then determine which number line shows the solution graphed correctly.
6x+12≥48
Answer:
Step-by-step explanation:
6x+12≥48
-12 -12
6x ≤ 36
6 6
x≤6
Need help with this question ASAP!!!!!
What's your question?
To solve the system of equations below, Becca isolated in the first
equation and then substituted it into the second equation. What was the
resulting equation?
x + y - 9
x2
1
25 36
O A.
25
36
O B.
9- у - у
1
25
36
O c.
X?
-Y? -9.1
25 36
O D.
25
36
Answer:
Option (B)
Step-by-step explanation:
Given system of equations is,
x² + y² = 9 ------(1)
[tex]\frac{x^2}{25}-\frac{y^2}{36}=1[/tex] -------(2)
From equation (1),
x² = 9 - y²
Substituting these values in equation (2),
[tex]\frac{9-y^2}{25}-\frac{y^2}{36}=1[/tex]
Therefore, Option (B) will be the correct option.
The temperature dropped 3 °F every hour for 6 hours. How much did the temperature drop in total
Answer:
18 degrees farenheit.
Step-by-step explanation:
i am having trouble doing this problem
Answer:
Step-by-step explanation:
A. when you multiply exponents with a common base you keep the base and add the exponents. In this case you would keep the 6 and add the -5 and 2 so the answer would be:
6^-3 which is not equivalent
B. You can distribute the exponent in to the parenthesis.
(1^5)/(6^2)^5
when you have an exponent to an exponent you mutliply. so the answer would be:
1^5/6^10
1^5 is always going to be 1 so you actually have:
1/6^10
when the exponent is on the bottom you can bring it to the top by making it negative, so the final answer for B is:
6^-10 which is equivalent
C. Same rules as B, multiply an exponent to an exponent.
6^(-5*2) = 6^-10 which is equivalent
D. When you are dividing exponents with a common base you subtract the top and bottom exponents. So in this case you have:
6^(-3-7) = 6^-10 which is equivalent
E. Using the rules from eariler the numerator can be simplified by adding the exponents.
6^5 * 6^-3 = 6^(5-3) = 6^2
which leaves you with:
6^2/6^-8
From there you can either bring the 6^-8 to the numberator to make it positive which simplifies to:
6^2 * 6^8 = 6^(2+8) = 6^10 which is not equivalent
or you can subtract the top and bottom exponents:
6^2/6^-8 = 6^(2-(-8))
the double negative cancels to a positive and you getL
6^(2+8) = 6^10 which is not equivalent
so B, C, and D are equal to 6^-10
What is the solution to this inequality? 6x−5>−29 A x>4 B x>−4 C x<−4 C x<4
Answer:
a
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The area of a square is 100 square centimeters. what is the perimeter
Answer:
Step-by-step explanation:
area of a square = S x S
side = ⱱarea
side = ⱱ100
side = 10cm
perimeter = 4s
= 4 x 10
=40cm
82 is what percent of 65.6?
Answer:
125
Step-by-step explanation:
82 percent of 65.6 is 125
Answer:
I hope I got your question correctly.
82% of 65.6 is 54.
Step-by-step explanation:
Consider this equation:
P%=[tex]\frac{x}{y}[/tex]
The value of P% here is 82, which is 0.82 in decimal form.
x is unknown
y is 65.6
Simply cross-multiply 65.6 and 0.82.
The result is 53.8 or 54.
What is the sum?
3/x +4/x^2
Answer:
[tex]\frac{3x + 4 }{x^{2}}[/tex]
Step-by-step explanation:
[tex]\frac{3}{x}+ \frac{4}{x^{2}} = \frac{3*x}{x*x} + \frac{4}{x^{2}}[/tex]
[tex]= \frac{3x}{x^{2}} + \frac{4}{x^{2}}\\\\\\=\frac{3x + 4 }{x^{2}}[/tex]
You have prizes to ren
My mom and dad have $822.00 in their savings account and $347.00 in their checking
account. How much more do my parents have in savings than in checking?
Answer:
$475.00
Step-by-step explanation:
Subtract $822.00 and $347.00 then you'll get $475.00
Translate this sentence into an equation.
28 is the product of Rhonda's age and 2.
Use the variable r to represent Rhonda's age.
The sentence "28 is the product of Rhonda's age and 2" can be translated into the following equation as 28 = 2 × r
In this equation, use the variable 'r' to represent Rhonda's age.
The equation states that the number 28 is equal to the product of 2 and Rhonda's age (r).
This equation describes the relationship between the value 28 and Rhonda's age.
If you know the value of 'r', you can solve for 28, and vice versa.
It's a simple way to express the given information mathematically.
Therefore, the given sentence about product of Rhonda's age and 2 is equal to 28 written in the equation form as 28 = 2 × r .
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Is it possible for the absolute value function to have negative values?
Answer:
Absolute value equations are equations where the variable is within an absolute value operator, like |x-5|=9. The challenge is that the absolute value of a number depends on the number's sign: if it's positive, it's equal to the number: |9|=9. If the number is negative, then the absolute value is its opposite: |-9|=9.
a girl spends 1/2of her money in a store. then she goes to another 1/2 of which was left with her. after she has rs 24 with how much money did she start ?
1/12
24 divided by 2 = 12
how do you work out 8^1/3÷5^-2
Answer:
the answer to your question is 50.
Can someone Help plz!!
Answer:
It's c
Step-by-step explanation:
The length of BC is 14.
Because according to pytheorem
H = p +b
can i have some helps plz
Pls ASAP if correct u get brainest
Answer:
I got 3
Step-by-step explanation:
If you do 8 x 1/2 x 3 You would get 12. Keep that 12 for later. then for the bottom half do 2 x 1/2 x 4 and I got 4. so do 12/4 and then that goes to 3.
Brainliest if right. A right rectangular prism is packed with cubes of side length inch. If the prism is packed with 12 cubes along the length, 8 cubes along the width, and 5 cubes along the height, what is the volume of the prism?
1)
cubic inches
2)
cubic inches
3)
cubic inches
4)
cubic inches
Answer:
480
Step-by-step explanation:
multiply all together
Brainliest plz
ASAP please give me the answerss!! Due! HELP PLEASE.
Part A
Katie just opened a checking account at the bank. Within the first month, she deposited three checks for $21.68, $42.09, and $65.44. She withdrew $4.64 for new pencils, $23.11 for earbuds, and $9.78 for movies from her account in the same month.
Write Katie’s withdrawals as negative rational numbers and her deposits as positive rational numbers.
Part B
Order the rational numbers from least to greatest and explain your reasoning.
Part C
At the beginning of the month Katie’s balance was $128. What was her balance at the end of the month after all of her deposits and withdrawals? You must show your work, no credit will be given for just an answer.
Answer:
(a) The deposits to be 21.68, 42.09, and 65.44 and the withdrawals to be -4.64, -23.11 and -9.78
(b) [tex]Order: -23.11, -9.78, -4.64, 21.68, 42.09, 65.44[/tex]
(c) [tex]Final\ Balance = \$219.68[/tex]
Step-by-step explanation:
Given
Deposits: $21.68, $42.09, and $65.44
Withdrawals: $4.64, $23.11 and $9.78
Solving (a): Write out the deposits as positive and the withdrawals as negatives
From (given) above, we have
The deposits to be 21.68, 42.09, and 65.44
and
The withdrawals to be -4.64, -23.11 and -9.78
Solving (b): Order from least to greatest.
Since the withdrawals are negative, the arrangement will start from there because negative numbers are lesser than positives.
Arranging the withdrawals from least to greatest, we have:
-23.11, -9.78, -4.64.
Arranging the deposits from least to greatest, we have:
21.68, 42.09, 65.44
Combine both together;
[tex]Order: -23.11, -9.78, -4.64, 21.68, 42.09, 65.44[/tex]
Solving (c):
[tex]Initial\ Balance = \$128[/tex]
Required
Determine the final balance
First we need to get the total deposits:
[tex]Total\ Deposits = \$21.68 + \$42.09 + \$65.44[/tex]
[tex]Total\ Deposits = \$129.21[/tex]
Next, we determine the total withdrawals:
[tex]Total\ Withdrawals = \$4.64 + \$23.11 + \$9.78[/tex]
[tex]Total\ Withdrawals = \$37.53[/tex]
The final balance is then calculated as:
[tex]Final\ Balance = Initial\ Balance + Total\ Deposits - Total\ Withdrawals[/tex]
[tex]Final\ Balance = \$128 + \$129.21 - \$37.53[/tex]
[tex]Final\ Balance = \$219.68[/tex]
Please help 7th Grade Math
Answer:
The expression of the area of rectangle ABCD as simplified polynomial will be:
[tex]A=16x^2-8x[/tex]
Hence, the 2nd option is correct.
Step-by-step explanation:
As we know that the area of a rectangle can be obtained by multiplying the length by the width.
i.e.
[tex]A=l\times w[/tex]
Given
The length of a rectangle ABCD = [tex]l[/tex] = [tex](x+5) + (3x) + (4x-9)[/tex]
The width of a rectangle = [tex]w[/tex] = [tex]2x[/tex]
so the expression of the area of rectangle ABCD as simplified polynomial will be:
[tex]A=l\times w[/tex]
[tex]A=\left[\left(x+5\right)\:+\:\left(3x\right)\:+\:\left(4x-9\right)\right]\:\times \left[2x\right][/tex]
[tex]=\left(\left(x+5\right)+\left(3x\right)+\left(4x-9\right)\right)\left(2x\right)[/tex]
[tex]=\left(x+5+3x+4x-9\right)\times \:2x[/tex]
[tex]=2x\left(8x-4\right)[/tex]
[tex]=16x^2-8x[/tex]
Therefore, the expression of the area of rectangle ABCD as simplified polynomial will be:
[tex]A=16x^2-8x[/tex]
Hence, the 2nd option is correct.
What is the slope of the line that passes through the points (7,-4) and (7,0)?
Write your answer in simplest form.
Answer
The x value is the same between these two values, which gives an undefined slope, I think
Step-by-step explanation:
Answer:
Yes the answer is undefined
Step-by-step explanation:
Look it up
Find the slope of the line through the given points.
(10, 11) and (15, 16)
Answer:
Step-by-step explanation:
-5/-5
What's 2/5 divided by 4 ( simplest form)
Answer:
1/10
Step-by-step explanation:
[tex]\frac{2}{5} \div 4 = \frac{2}{5} * \frac{1}{4}[/tex]
we multiply by the reciprocal when we work with fractions and division.
Now you just multiply across.
Therefore, you have 2/20, which simplifies to 1/10.
A fraction is a part of a whole.
It is expressed as a quotient, in which the numerator is divided by the denominator.
The simplest form of 2/5 divided by 4 is 1/10.
What is a fraction?A fraction is a part of a whole.
It is expressed as a quotient, in which the numerator is divided by the denominator.
Example: 2/3, 5/7, 1/3
We have,
2/5 ÷ 4
= (2/5) / 4
= 2 / (4 x 5 )
We cancel the common factor from the numerator and denominator.
= 2 / (2 x 2 x 5)
= 1 / (2 x 5)
= 1 / 10
We see that there is no common factor to be canceled out from the numerator and the denominator.
= 1/ 10 is our simplest form.
Thus the simplest form of 2/5 divided by 4 is 1/10.
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1. 25/120 as a decimal
2. 1 7/8 as a decimal
3. 1/6 as a decimal
4. 11/40 as a decimal
5. 5 13/50
Answer:
1. 0.2083
2. 1.875
3. 0.16666667
4. 0.275
5. 5.26
Brainliest Please! :)
Read this entry from a blog about service dogs. Lexie, an eight-month-old black Labrador retriever, is sleeping quietly at my feet. I can’t help but think that her soft, velvety ears and alert brown eyes would make her the perfect "doggie model" for pet magazines and pet store ads. However, Lexie will soon have a much more important job to do. In a few months, she will become the loyal companion and service dog for a young man who has been blind since birth. She will help him board public transportation, such as buses, subways, and trains, and she will help him safely cross busy intersections. Lexie will even help the young man avoid obstacles, such as high curbs and low overhangs. Like all dogs in our organization, Lexie has undergone months of specialized training to help a visually impaired person lead an active and independent life. Which statement about this blog is true? Its primary purpose is to persuade; its secondary purpose is to inform. Its primary purpose is to inform
Answer:
The True Statement about this blog is stated below:
Its primary purpose is to inform.
Step-by-step explanation:
When an author's or speaker's purpose is to inform, the author or speaker usually enlightens their readers or audience about real-world topics. The best way they achieve this is by providing lots of facts about the topic. Informational texts or speeches are oriented towards imparting information or knowledge to the reader or audience with the purpose of educating them on a particular topic. This is clearly achieved in this passage about Lexie. Facts are provided about Lexie's ability to help the visually impaired person, including the specialized training that the dog has undergone recently.