Answers
Hello!
This is a problem about the general solution of a differential equation.
What we can first do here is separate the variables so that we have the same variable for each side (ex. [tex]dy[/tex] with the [tex]y[/tex] term and [tex]dx[/tex] with the [tex]x[/tex] term).
[tex]\frac{dy}{dx}=\frac{x-1}{3y^2}[/tex]
[tex]3y^2dy=x-1dx[/tex]
Then, we can integrate using the power rule to get rid of the differentiating terms, remember to add the constant of integration, C, to at least one side of the resulting equation.
[tex]y^3=\frac{1}{2}x^2-x+C[/tex]
Then here, we just solve for [tex]y[/tex] and we have our general solution.
[tex]y=\sqrt[3]{\frac{1}{2}x^2-x+C}[/tex]
We can see that answer choice D has an equivalent equation, so answer choice D is the correct answer.
Hope this helps!
Related Questions
7x+4=25
two step equation
Answers
Answer:
x = 3
Step-by-step explanation:
7x + 4 = 25
7x + 4 - 4 = 25 - 4
7x = 21
x = 3
Answer:
x = 3
Step-by-step explanation:
Hey! Hope this helps you!
Have a nice day <3
14ab5 - 2ab5 + 4b2 +b
Answers
Answer:
80ab + 9b
Step-by-step explanation:
Step 1: 14 x 5 + 2ab x 5 + 4b x 2 + b
Then......
Multiple the numbers: 14 x 5 = 70
Step 2: = 70ab + 2 x 5ab + 4 x 2b + b
Then......
Multiple the numbers: 2 x 5 = 10
Step 3: = 70ab + 10ab + 4 x 2b + b
Then......
Multiple the numbers: 4 x 2 = 8
Step 4: = 70 ab + 10ab + 8b + b
Then......
Add similar elements: 70ab + 10ab = 80ab
Step 5: = 80ab + 8b + b
Then......
Add similar elements: 8b + b = 96
80ab + 9b
( I HOPE THIS HELPED!)
The volume of the Moon is about 2.8 x 10^10 cubic kilometers. The volume of Earth is about 1.9 x 10^12 cubic kilometers. The number of Moons that can fit inside Earth can be found by dividing Earth's volume by the Moon's volume. About how many Moons can fit inside Earth?
Answers
Answer:
50 moons can fit inside Earth.
Step-by-step explanation:
The Volume of Earth is
1.09 × 10 ^12
cubic kilometres
The Volume of The Moon is
2.18 x 10^ 10
cubic kilometers
Hence the number of Moons that can fit in Earth is
Step-by-step explanation:
Simplify 4x + 3x² + x² - 3x
Answers
Answer:
[tex]x + {4x}^{2} [/tex]
Step-by-step explanation:
simplify by combining like terms
4x - 3x = x
[tex]3x ^{2} + {x}^{2} = {4x}^{2} [/tex]
we're left with
[tex]x + {4x}^{2} [/tex]
Answer:
4x²+x
Step-by-step explanation:
4x-3x+3x²+x²
4x minus 3x is x and 3x² +x² is 4x²
therefore,
4x²+x
Trinity can run around the perimeter of her school's sports field in 4.75 minutes. It takes Jing 1.2 minutes longer. Alberto can run around the perimeter of the field in 5.9 minutes. Which correctly compares Jing's running time to Alberto's running time?
Answers
NEEDED ASAP WILL GIVE BRAINLIEST TO BEST ANSWER
Answers
Answer:
for 14 is Surface are =2*(7*5+7*3+5*3)= 142 feet cubefor 13 Surface are= 2*(9*7.2+9*9+7.2*9)= 421 m cube
(1 point)
The number of eggs that a female house fly lays during her lifetime is normally distributed with mean 790 and standard deviation 92.
Random samples of size 98 are drawn from this population, and the mean of each sample is determined. What is the probability that
the mean number of eggs laid would differ from 790 by less than 30? Round your answer to four decimal places.
Answers
Answer:
0.9988 = 99.88% probability that the mean number of eggs laid would differ from 790 by less than 30.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean 790 and standard deviation 92.
This means that [tex]\mu = 790, \sigma = 92[/tex]
Samples of 98
This means that [tex]n = 98, s = \frac{92}{\sqrt{98}}[/tex]
What is the probability that the mean number of eggs laid would differ from 790 by less than 30?
This is the pvalue of Z when X = 790 + 30 = 820 subtracted by the pvalue of Z when X = 790 - 30 = 760. So
X = 820
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{820 - 790}{\frac{92}{\sqrt{98}}}[/tex]
[tex]Z = 3.23[/tex]
[tex]Z = 3.23[/tex] has a pvalue of 0.9994
X = 760
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{760 - 790}{\frac{92}{\sqrt{98}}}[/tex]
[tex]Z = -3.23[/tex]
[tex]Z = -3.23[/tex] has a pvalue of 0.0006
0.9994 - 0.0006 = 0.9988
0.9988 = 99.88% probability that the mean number of eggs laid would differ from 790 by less than 30.
Assume your home is assessed at $245,000. You have a $171,000 loan for 25 years at 6 percent. Your property tax rate is 1.4 percent of the assessed value. In year one, you would pay $10,260 in mortgage interest and $3,430 in property tax (1.4 percent on $245,000 assessed value).
Answers
Answer: $3,833.20
Step-by-step explanation:
Mortgages interest and property tax are both federal deductions so they will reduce taxes:
= 10,260 + 3,430
= $13,690
The tax saving is therefore:
= 13,690 * tax rate
= 13,690 * 28%
= $3,833.20
Let f(x)=x^2-6 and g(x)=7x
Please help thank you
Answers
Since plugging in x makes the equations stay the same, just add f(x) and g(x)
x^2 - 6 + 7x
Solution: x^2 + 7x - 6
solve for x in 2.3^x-81-3^x
Answers
Answer:
===================
Solved by graphing: x =~ 3.711448
-----------
You can use a graphing calculator, or numerical
what is the arc length of s in the figure below
Answers
Answer:
2.18ft
Step-by-step explanation:
what is the arc length of s in the figure below
Length of the arc = theta/360 * 2πr
r is the radius = 1ft
theta = 125 degrees
Substitute into the formula
Length of the arc = 125/360 * 2(3.14)* 1
Length of the arc = 785/360
Length of the arc = 2.18ft
Hence the length of the arc is 2.18ft
Combine like terms:
7x + 3x + 4y - X+.5y
Answers
Answer:
9x + 4.5y if .5y is a decimal point, 9x + 9y if the dot is a typo
Step-by-step explanation:
If the dot is real,
7x + 3x + 4y - x + 0.5y
10x + 4y - x + 0.5y
10x - x + 4y + 0.5y
9x + 4.5y
If the dot is a typo,
7x + 3y + 4x - x + 5y
10x + 4y - x + 5y
10x - x + 4y + 5y
9x + 9y
Answer:
the answer is 9x + 9y
7x + 3x + 4y - x + 5y
7x + 3x - x + 4y + 5y
10x - x + 4y + 5y
9x + 9y
How many meters are in a exameter?
Answers
Answer:
1E18 OR 10^18
Step-by-step explanation:
The formula is multiply the length by 1e+18
Someone explain and help me do this for me I really need the help
Answers
Answer:
74.13
6×10=60
A=pi r^2
3.14×3^2=28.26
28.26/2 =14.13 (because it is half a circle)
14.13+60=74.13
not sure if that is correct but that is what i got
Unit 11 Homework 1: Area of Plane Figures
Answers
Answer: 4. 432 cm^2/2 = 216 cm^2
6. 309.76 mm^2
8. pi * 22^2 = 484pi (or, approximately 1,519.76) in^2
484/2 = 242pi or 759.88 in^2.
10. 297.84 in^2/2 = 148.92 in^2
Step-by-step explanation:
To find the area of a triangle, you take the base and multiply by the height, and then divide by 2. Hence giving me the answers I obtained in #4 and #10.
A square is equal on all sides, so you would just square the measurement of the one side.
To find the area of a circle, you would do pi times the radius^2. Since this is a semicircle, you actually should divide the number you got by 2. (Which is why I did so up above).
Answer: There’s nothing
Step-by-step explanation:
What is 4x minus x squared?
Answers
Answer:
3x^2
Step-by-step explanation:
the answer isssssssssssssssssssssssssss 3x^2.
Which of the following expressions is equivalent to (13 + 2) (13 - 2)?
a. 152 +112
b. 15² – 11²
c. 132 +22
d. 132 - 22
Answers
Answer:
d. 13^2 - 2^2
Step-by-step explanation:
The product of a sum and a difference is a difference of squares.
(13 + 2)(13 - 2) = 13^2 - 2^2
Answer: d. 13^2 - 2^2
what is the value of. view image
Answers
I am really confused what a mean is in math
Answers
Answer:
A mean in math is when you have a set of numbers, you add up all numbers of the set and then divide that sum by the total amount of numbers.
Example: 3,6,8,9
3+6+8+9=26
26/4 (because there is four numbers)
26/4= 6.5
So the mean of that set will be 6.5
Step-by-step explanation:
In which quadrants is sine positive?
O A. I and IV
B. I and III
C. II and IV
D. I and II
Answers
Answer:
D. I and II
Step-by-step explanation:
In the first quadrant (I), all ratios are positive. In the second quadrant (II), sine (and cosec) are positive.
The solution is, sine is positive in, D. I and II. Option (D) is correct because, In the first quadrant (I), all ratios are positive. In the second quadrant (II), sine (and cosec) are positive.
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles.
here, we have,
We are given to select the correct answer from the options provided.
The rule of signs for the trigonometric ratios in the four quadrants are as follows :
Quadrant I : All the three ratios, tangent, sine and cosine are positive.
Quadrant II : Only sine is positive, cosine and tangent are negative.
Quadrant III : Only tangent is positive, sine and cosine are negative.
Quadrant IV : Only cosine is positive, sine and tangent are negative.
so, we get,
In the first quadrant (I), all ratios are positive. In the second quadrant (II), sine (and cosec) are positive.
Therefore, using the above rules, we can say that the options (B), (C) and (A) are incorrect.
so, we have,
Option (D) is correct because, In the first quadrant (I), all ratios are positive. In the second quadrant (II), sine (and cosec) are positive.
To learn more about trigonometric relations click :
brainly.com/question/14450671
#SPJ7
Simply each answer .
Answers
Answer:
मुझे गर्म गले पसंद है
Step-by-step explanation:
Can somebody please help me with this ?
Answers
Answer:
8x, 2x^2, 6xy, 5y.
Step-by-step explanation:
Hello, 5x+3x would be 8x since 5+3 is 8. 7x^2-5x^2 would be 2x^2 since 7-5 is 2 (exponents stay the same). 2xy+4xy is 6xy since 2+4 is 6. Lastly, 8y-3y is 5y since 8-3 is 5.
y=3x+2 find the oder pairs
Answers
Answer:
x y
0 2
1 5
Step-by-step explanation:
Directions: Type your answer in the box below without using the ($) symbol.
Wesley had $792.38 in his checking account. He made the following transactions:
• He bought groceries at Food Lion using his debit card for $58.62.
• He received $50.00 for his birthday and deposited the money into his checking account.
• He made a withdrawal at the ATM from his checking account in the amount of $120.00. • He purchased a pair of shoes from the mall using his debit card in the amount of $64.98.
What was the final balance in his checking account after these transactions?
Answers
Answer:
Wesley's final balance in his checking account after these transactions is $598.78.
Step-by-step explanation:
792.38 - 58.62 + 50 - 120 - 64.98 = 598.78
What formula can be used to find circumference? Choose all that apply. *
Cat
2r
nd
2nd
Answers
Answer:
circumference =pi ×diameter
OR
pi × radius × 2
What is the mean of the set of data given below? 13 8 9 6 10 8
Answers
Answer:
Mean = The numbers added up and divided by the number of numbers.
Step-by-step explanation:
= (13 + 8 + 9 + 6 + 10 + 8) / 6
= 54 / 6
= 9
The mean is 9.
14x1/2 consider the expression
Answers
Answer: 7
Step-by-step explanation:
14*1=14
14/2=7
Hey guys!!! I forgot how to do this :/ lol
whats 10+4÷2?
Answers
Answer:
12
Step-by-step explanation:
where is the whole number in 34.50
Answers
Answer:
34
Step-by-step explanation:
X^2+3x-18 what are the zeros of r(x)?
Answers
Answer:
Step-by-step explanation:
18 has factors of 9 and 2 or 6 and 3
Those factors must differ by 3, so 6 and 3 in some order is your answer.
(x + 6) (x - 3) = r(x)
You have to make x a value that turns the factor into 0.
x + 6 = 0
x = - 6
x - 3 = 0
x = 3
So the zeros are (3,0) and (- 6,0)