please help. its on ratio.​

The general solution is given by: y = c1cos(5x) + c2sin(5x) + 1/25(- cos(ln(sec5x))) + 5xsin(5x)

The most general solution to the original nonhomogeneous differential equation can be found by adding the homogeneous solution and the particular solution together. That is,

y = y_h + y_p

= c1cos(5x) + c2sin(5x) + 1/25(- cos(ln(sec5x))) + 5xsin(5x)

This is the most general solution to the original nonhomogeneous differential equation. We can use the arbitrary constants c1 and c2 to find specific solutions for different initial conditions. The general solution is given by:

y = c1cos(5x) + c2sin(5x) + 1/25(- cos(ln(sec5x))) + 5xsin(5x)

This is the final answer. Note that we have used the terms "general solution" and "arbitrary constants" in our answer, as instructed.

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The volume of cuboid is

The surface area of cuboid is Total Surface area = 2 (Length x Breadth + breadth x height + Length x height)

Answer:

Volume = 904.32 units³

Step-by-step explanation:

Volume = 4/3πr³ = 4/3(3.14)(6³) = 904.32

Anomers of D-glucopyranose differ in their stereochemistry at C1. So, the last option is accurate.

The anomers of D-glucopyranose differ in their stereochemistry at the C1 carbon, which is also known as the anomeric carbon. The anomeric carbon is the carbon that becomes a new chiral center when a cyclic monosaccharide, such as D-glucopyranose, forms a hemiacetal or hemiketal ring structure through a reaction with an alcohol or amine group on the same molecule.

D-glucopyranose exists in two anomeric forms: alpha-D-glucopyranose and beta-D-glucopyranose. These two forms are called anomers because they have different configurations at the C1 carbon, resulting in different spatial arrangements of the hydroxyl group attached to the C1 carbon.

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Answer: See explanation

Step-by-step explanation:

We are informed that we should write a equation that represents the expression "Ali writes the expression "half of the sum of $9 and a number.".

Let the number be represented by x. The first equation based on the information given will be:

= 1/2(9 + x)

The second equation will be:

= (9 + x)/2

= 4.5 + 0.5x

Four of them have in all 504 cards.

Multiplication: In math, to multiply means to add equal groups. When we multiply, the number of things in the group increases. The two factors and the product are parts of a multiplication problem. In the multiplication problem, 6 × 9 = 54, the numbers 6 and 9 are the factors, while the number 54 is the product.

It is given that Stephanie has 126 basketball cards

and also said that her three friends have the same number of cards as she does

which gives 126 each of three friends so, three of them are having

friend 1 =126

friend 2=126

friend 3=126

=3×126 by combining three friends cards which gives,

=378

four of them will have 4×126=504 cards.

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Of them, four have all 504 cards.

What does "multiplication" mean?

Multiplication in mathematics is the addition of equal groups. The number of items in the group grows as we multiply. Parts of a multiplication issue include the product, the two factors, and the product. The factors in the multiplication problem 6 x 9 = 54 are the numbers 6 and 9, and the product is the number 54.

Given her collection of 126 basketball trading cards

and added that she shares the same number of cards with her three friends.

which amounts to 126 for each of the three friends, meaning that three of them

buddy 1 = 126

friend 2=126

friend 3=126

=3×126 by combining three friends cards which gives,

=378

four of them will have 4×126=504 cards.

Step-by-step explanation:

2524 ÷ 23 = 24a6u= 7

bengek hyung

Answer:

0.75

Step-by-step explanation:

The equation that has the same solution as x² - 10x -  11 = 0 is (x - 5)² = 36

From the question, we have the following parameters that can be used in our computation:

x² - 10x -  11 = 0

Rewrite as

x² - 10x = 11

Add to both sides the square of half the coefficient of x

So, we have

x² - 10x + (-10/2)² = 11  + (-10/2)²

Evaluate

x² - 10x + 25 = 36

So, we have

(x - 5)² = 36

Hence, the equation is (x - 5)² = 36

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Answer:

5/6

Step-by-step explanation:

Number of people in management majors = 10, number of people in world climate = 20.

Total number of people in class = Number of people in management majors + number of people in world climate = 10 + 20 = 30

Number of people with brown eyes = 10 / 2 + 20 / 2 = 5 + 10 = 15

Probability that a person chosen at random is a management major or has brown eyes = P(M or B)

P(M or B) = P(M) + P(B)

But probability of management major [P(m)] = Number of people in management majors / total number = 10 / 30 = 1/3

probability of brown eyes = Number of people with brown eyes / total number = 15 / 30 = 1/2

P(M or B) = P(M) + P(B) = 1/3 + 1/2 = 5/6

59 estimated by 65 would be 60.

To estimate a number by another number means to find a value that is close to the original number but is easier to work with or understand. Estimation is a method of making quick calculations or approximations, often without the use of a calculator or other precise tool.

To estimate 59 by 65, you can use rounding to the nearest ten. To do this, round both 59 and 65 to the nearest ten, which is 60. Therefore, 59 estimated by 65 is 60.

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Answer:

3.14 square inches or π square inches

Step-by-step explanation:

The radius of a circle is 1 inch. What is the area?

r=1 in

The formula for the area of a circle is given as:

πr²

The radius (r) = 1 inch

Hence,

Area of the circle = π × 1²

= 3.1415926536 square inches

Approximately = 3.14 square inches or we can say that the Area of the circle = π square inches

The union set combines the elements that are in different sets to form a new set

Assume that we have the following sets

The union of both sets is the collection of the elements of both sets (without repetition)

Assume that, we have:

A = {2,4,5}

B = {1,2,7}

The union of both sets would be:

A u B = {1,2,4,5,7}

See attachment for the graphical representation of the union set

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Answer:  \(4\sqrt{2}\)  (choice C)

Explanation:

In a 45-45-90 triangle, the hypotenuse is found through this formula

\(\text{hypotenuse} = \text{leg}\sqrt{2}\)

We could also use the pythagorean theorem with a = 4, b = 4 to solve for c.

\(a^2+b^2 = c^2\\\\c = \sqrt{a^2+b^2}\\\\c = \sqrt{4^2+4^2}\\\\c = \sqrt{2*4^2}\\\\c = \sqrt{2}*\sqrt{4^2}\\\\c = \sqrt{2}*4\\\\c = 4\sqrt{2}\\\\\)

The correct answer is the equation of the line is y = \(-\frac{2}{3} x - 2\)

Given the equation of the parallel line is 2x + 3y = 3

and the required line passes through the point (3, -4) where x is 3 and y is -4

We can write the given equation  as:

⇒ 3y = 3 - 2x

Dividing both sides by 3

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

On comparing this equation with y= mx+b, thus m = \(-\frac{2}{3}\) and the slopes of parallel lines are always equal.

Using the point slope form, we will derive the equation of line

⇒ \(y-y_1 =m ( x- x_1)\)

⇒ \(y- (-4) = -\frac{2}{3} (x-3)\)

⇒ \(y+4= -\frac{2}{3} (x) - \frac{2}{3} (-3)\)

⇒ \(y = -\frac{2}{3} (x) +2-4\)

⇒ \(y = -\frac{2}{3} (x) - 2\)

Hence, the equation of the required line is \(y = -\frac{2}{3} (x) - 2\)

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Answer: 1

I did this problem a couple times and got 1 every time

Answer:

in 2009, there were about 3.3 mil visitors, 2010 having 3.64 mil.
3.3 + 3.64 = 6.94

Step-by-step explanation:

In 2011 there were 3.39 million visitors and 2012 had 3.45
3.39 + 3.45 = 6.84

6.94 - 6.84 = 0.1

Therefore, there were 0.1 million more visitors in 2011 and '12 than 2009 and '10.


hopes this helps :)

Answer:

man I

Step-by-step explanation:

hey

Answer:

manatap Fanny neff

Franko

Step-by-step explanation:

alucard

Answer:The perimeter =12w

Step-by-step explanation:

Let the width represent W and Length represent L

Length= 5 x width

L=5W

W=W

Since perimeter =2(L+w)

Substitute for L=5w

=2(5w+w)

=2(6w)

=12w

Answer:

210

Step-by-step explanation:

1: Part/whole=%/100

2: 100-5=95

3: 3150/30=$105 uniforms.

Answer: $210

Hope this helps.

Answer:

40=(x/6)

40×6=240

x=240?

The value of x is 204 degree.

The point where they meet is called a vertex. When two lines intersect, the opposite (X) angles are equal.

As line UM and FQ is intersecting at point x.

Using Vertical opposite angle,

x/6= 40

x=40*6

x=240

Hence, the vertically opposite angle is 240.

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If n=2k  (means even value) is always possible to dissect a rectangle into n right triangles.

Dissect means to separate a dead person's or animal's body into its component for closer examination.

Dissect is to consider or talk about the specifics of something in order to fully comprehend it.

To dissect is to separate into components.

For n=2, it is easy to show that it is possible (just insert the diagonal).

For n=3, it is not possible ( I tried on some examples but not able to do it).

For n=4, it is possible first make two rectangle from the original rectangle then use the case of n=2

So if n=2k  (means even) then it is always possible.

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Answer:

Ahh so the distance I got this one.

so you multiply the time x the speed got it. ok here we go..

0.45x1.6=0.72.

therefore 0.72 is your answer hope I helped.

The ball land 0.72 meters away from the base of the table

Given the following parameters;

Required

Using the distance formula;

Distance = speed * time

Distance  = 1.6 * 0.45s

Distance = 0.72m

Hence the ball land 0.72 meters away from the base of the table

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Answer:

8%

Step-by-step explanation:

To find the percent change, we first have to find the amount changed, which is (46000-42500) = 3500. Then, we find what percentage that is of the original amount. Remember that when calculating percentage change, it's important to calculate change with respect to the initial value.

To find the percentage, we can divide 3500 by 42500, and multiply that by 100, resulting in 8 being our nearest whole percent

The system of equations with exactly one solution is A. {y = 3x + 1, y = −3x + 7}.

To determine which systems of equations have exactly one solution, we need to analyze the coefficients and constants in each equation.

A system of equations will have exactly one solution if the lines represented by the equations intersect at a single point. This occurs when the slopes (coefficients of x) and y-intercepts (constants) of the lines are different.

Let's analyze each option:

A. {y = 3x + 1, y = −3x + 7}

The slopes of both equations are 3 and -3, respectively, and they have different y-intercepts.

Therefore, this system has exactly one solution.

B. {y = 3x + 1, y = x + 1}

The slopes of both equations are 3 and 1, respectively, but their y-intercepts are the same.

This means the lines are parallel and will never intersect, so this system has no solution.

C. {y = 3x + 1, y = 3x + 7}

Both equations have the same slope (3) and different y-intercepts. This means the lines are parallel and will never intersect, so this system has no solution.

D. {x + y = 10, x + y = 12}

Both equations have the same slope (−1) and the same y-intercept (10 or 12). This means the lines are coincident (overlapping) and have infinitely many points of intersection, so this system has infinitely many solutions but not exactly one solution.

Therefore, the only system of equations with exactly one solution is A. {y = 3x + 1, y = −3x + 7}.

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The complete question =

Select all the systems of equations that have exactly one solution.

A. {y = 3x + 1 y =− 3x + 7

B. {y = 3x + 1 y = x + 1

C. {y = 3x + 1 y = 3x + 7

D. {x + y = 10 x + y = 12

The tangential and normal components of the acceleration vector are aT = 36t/(4t^2+1) and aN = -36t^2/(4t^2+1), respectively. These were obtained by finding the unit tangent and unit normal vectors and taking the dot product of the acceleration vector with each of them.

Given the position vector r(t) = 6(3t − t^3)i + 18t^2j, we can find the acceleration vector by taking the second derivative of r(t) with respect to time.

After differentiating twice and simplifying, we get a(t) = -36t^2i + 36tj. To find the tangential and normal components of the acceleration vector, we need to first find the unit tangent vector T(t) and unit normal vector N(t) at time t.

The unit tangent vector T(t) can be found by taking the derivative of the position vector r(t) with respect to time and dividing by its magnitude.

After simplifying, we get T(t) = (-2t)i + j. Dividing this by its magnitude, we get T(t) = (-2t/√(4t^2+1))i + (1/√(4t^2+1))j.

The unit normal vector N(t) can be found by taking the derivative of the unit tangent vector T(t) with respect to time and dividing by its magnitude. After simplifying, we get N(t) = (-1/√(4t^2+1))i + (-2t/√(4t^2+1))j.

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Answer:

Distributive Property

Step-by-step explanation:

You are distributing 3➡️(2-7)