MATHEMATICS HIGH SCHOOL

Solve the differential equation by separation of variables
x(dy/dx)=4y

Answers

Answer 1
Answer: get all your x one on side and y on the opposing sideso we have
xdy=4ydx
dy/y=4dx/x
integrate both sides
lny=4lnx+C
 y=e^(4lnx+C)
The answer is y=cx^4

Related Questions

Forty-two is what percent of 70? A.21% B.60% C.74% D.167%
Two angles are supplementary. One angle is 5* less than four times the other find the measures of the angles
Find the value of f (-9)
Which expression gives the volume of a sphere with radius 8?A. 4(83) B. (82) C. (83) D. 4(82
Graph x^3-x^2-2x=0 what are the solutions of the equation

Round .0091 to the thousandths

Answers

The answer is 0.009.
Hope this helps!:)
0.0091 rounded to the nearest thousandths would be 0.009. This is because the 1 after the 9 is BEFORE 5 so it stays as 9, and we remove the 1. 

Answer:- .0091 rounded to the nearest thousandths is .009.

Hope I helped ya!! xD

What is the slope of the line shown in the graph? A coordinate plane is shown. Points are graphed at negative 3 comma 2 and negative 1 comma negative 1. The points are connected by a line. −3 over 2 −1 over 2 3 over 2 Undefined

Answers

The slope of a line is the rate of change of the line

The slope of the line is -3/2

The points on the line are given as:

\mathbf{(x,y) = \{(-3,2)\ (-1,-1)\}}

The slope (m) is calculated as:

\mathbf{m = (y_2 - y_1)/(x_2 - x_1)}

So, we have:

\mathbf{m = (-1-2)/(-1--3)}

\mathbf{m = (-3)/(2)}

Rewrite as:

\mathbf{m = -(3)/(2)}

Hence, the slope of the line is -3/2

Read more about slopes at:

brainly.com/question/3605446

Answer:

-3 over 2

Step-by-step explanation:

I took the test and got it right and just wannted to verify. Also because since 1,1 is that it would be proportional if it wwas 3,3 but it is -3,2.

PLEASE MAKE BRANLIEIEST AND 5.0

Which key features of the function representing the nail’s travel can be used to determine the amount of time it takes for the nail to reach the same orientation it had when it entered the tire?

Answers

Answer:

  the function's period

Step-by-step explanation:

A periodic function has the same values in the same sequence for each period of the function. The nail will return to the same orientation after any integer number of full periods of the function.

There are two boards, a and b. The total length of both is 28 feet. Board b is at least 5 feet longer than board a, but the difference is not more than 12 feet. What are the possible lengths of the two boards?

Answers

Answer:

Step-by-step explanation:

Let a represent the length of board a.

Let y represent the length of board b.

The total length of both is 28 feet. This means that

a + b = 28

Board b is at least 5 feet longer than board a. This means that

b ≥ a + 5

The difference between both boards is not more than 12 feet. This means that

b - a < 12

Substituting a = 28 - b into b ≥ a + 5, it becomes.

b ≥ 28 - b + 5

b ≥ 28 - b + 5

2b ≥ 28

b ≥33/2

b ≥ 16.5

16.5 - a < 12

4.5 < a

a > 4.5

The possible lengths of board a is

8 to 11.5 feet

The possible lengths of board b is

16.5 to 20 feet

For an arts and crafts project, a student cut a triangle out of a rectangular piece of paper. If the triangle has a base of 6 inches and a height of 8 inches, and the rectangle has a length of 11 inches and a width of 12 inches, what is the area of the leftover paper after the triangle is cut out

Answers

Area of left over paper=area of rectangle - area of triangle =132-24 =108inches^2

Answer:

Area of left over paper=area of rectangle - area of triangle =132-24 =108inches^2

Step-by-step explanation:

Please help very urgent will give brainliest

Answers

Answer: x= 45 degrees

Step-by-step explanation: The angle of a square is 90 degrees and it already tell you the other side is 45 degree so 90 - 45 = 45. So that means the answer is 45 degrees.

Since the sum of all the angles of any triangle is 180 degrees, just add 90 and 45 (the answer being 135), then subtract 135 from 180 (answer is 45).

Therefore, the missing answer is 45 degrees.
Other Questions
Which formula can be used to describe the sequence?-3, 3/5, -3/25, 3/125, -3/625 A. f(x) = -3(1/5)^x-1 B. f(x) = -3(1/5)^x-1 C. f(x) = -1/5(3)^x-1 D. f(x) = -1/5(-3)^x-1
Factor the expression completely.4x2 - 12x + 9
For which data sets is the median a better measure of center than the mean? Choose all answers that are correct. A. Dorian drove 56, 62, 68, 71, 104, and 507 mi on 6 consecutive days. B. Mandy entered pumpkins weighing 2, 8.5, 9.2, 9.8, and 10.1 lb in the contest at the county fair. C. The winning times in each of the 5 heats of the 400-meter dash were 1:01, 1:03, 1:03.4, and 1:04.9 min. D. The bakery shop sold 46, 51, 62, and 72 cupcakes on each of the last 2 Saturdays and Sundays.
Johanna is mixing red and blue paint to make purple paint for her bedroom. the amount of red paint and blue paint she needs is directly proportional to each other. if she uses three pints of blue paint and five pints of red paint, it makes the perfect shade of purple to match her bed comforter. johanna wants to make one more batch of purple paint in the exact same shade. if she only has 15 pints of red paint left, how much blue paint does she need?