Answer the following. Solve for X

A constant is fixed, which is arbitrary since you don't know what that fixed number is the arbitrary denotes that no particular value has been ascribed.

The order of a differential equation is equal to the number of arbitrary constants in its general solution.

The highest-order derivative that a differential equation has is used to define the equation's order. The highest-order derivative of a differential equation is defined as its degree, which is expressed as a power. The formula:

c1=a1+ib1

and  c2=a2+ib2

the solution will be

y(x)=(a1+ib1+a2+ib2)cos(ax)+i(a1+ib1−a2−ib2)sin(ax)

If and only if

a2=a1

and  b2=−b1

will be the solution real because of complex conjugates using this property.

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Full question

Can arbitrary constants in solutions to 2nd-order linear differential equations be complex?

Relative interest refers to the comparison of interest rates between different financial instruments or investment opportunities. It allows individuals or investors to assess and evaluate the attractiveness of various options based on their potential returns.

1. Understand the basic concept: Interest is the cost of borrowing money or the return earned on invested funds. Relative interest involves comparing the interest rates of different financial instruments or investments to determine which one offers a more favorable return.

2. Identify the investment options: Start by identifying the different investment opportunities or financial instruments available. These can include savings accounts, certificates of deposit (CDs), bonds, stocks, or other investment vehicles.

3. Research interest rates: Research and gather information about the current interest rates offered by each investment option. This information can usually be found on financial websites, through financial institutions, or by consulting with a financial advisor.

4. Compare interest rates: Once you have the interest rates for each investment option, compare them side by side. Look for the differences in rates and identify which options offer higher or lower returns.

5. Assess risk and return: Consider the level of risk associated with each investment option. Higher returns often come with higher risk, so it's essential to evaluate the risk-reward tradeoff.

6. Make an informed decision: Based on the comparison of interest rates and the risk-reward assessment, make an informed decision on which investment option aligns with your financial goals and risk tolerance.

Always remember to consider your financial goals, risk tolerance, and consult with a financial advisor if needed.

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Answer:

Step-by-step explanation:

You want the area of a decagon with radius 9 units, and a rectangular prism whose net is shown.

The regular decagon can be considered to be comprised of 10 congruent isosceles triangles with side length 9 and vertext angle 360°/10 = 36°.

The area of each triangle is ...

  A = 1/2r²sin(θ) . . . . . where r is the side length and θ is the vertex angle

The area of 10 such triangles will be ...

  decagon area = 10(1/2)(9²)sin(36°) ≈ 238.1 . . . . square units

The area of the decagon is about 238.1 square units.

The surface area of the prism is the sum of the areas of the rectangles making up the net. The area of each rectangle is the product of its length and width.

The set of rectangles vertically down the center of the figure has height 2(11 +14) and width 15, so its area is 15·2·(11 +14) = 750 cm².

The two "wings" on either side of that central set of rectangles each have area 11·14 = 154 cm².

The total area of the net is ...

  750 cm² + 2(154 cm²) = 1058 cm²

The surface area of the prism is 1058 cm².

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\(\\ \sf\longmapsto xy=7\)

\(\\ \sf\longmapsto y=\dfrac{7}{x}\)

Hence

.\(\\ \sf\longmapsto y\propto \dfrac{1}{x}\)

Inverse variation

Answer:

One.

Step-by-step explanation:

Every possible plane section of a sphere will produce a circle.

Answer:

5.3 x 10^-23 g

Answer:

54 refrigerators

Step-by-step explanation:

In order to find the amount of refrigerators this month, we can do it in one of 2 ways.

The easier way is to multiply 45 by 1.20:

(45)(1.20) = 54

1.20 represents a 120%. This is because 45 refrigerators is 100% of last month, and Simon repaired 20% more, so 100 + 20 = 120.

The next way would be to multiply 45 by 0.20, and then add it to 45.

(45)(0.20) = 9

45 + 9 = 54

Both of the ways result in 54. So, Simon repaired 54 refrigerators this month.

Hope this helps! If you have any questions about my work, please let me know in the comments below!

Answer:

1.a) 90 1.b) 32

Step-by-step explanation:

1.) 1^2 + 2^3 + 3^4

Squared means how much times to multiply the same number.

So, 1^2= 1x1=1

2^3=2x2x2=8

3^4=3x3x3x3=81.

So, 81+8+1=90

2. 4^2=4x4=16+2^4=2x2x2x2=16

16+16=32

Please mark me brainliest :)

Answer:

Explanation: 250 x 0.40 = 100

Using sampling concepts, it is found that it is not a random sample, as it considers only the books in her bedroom, hence books from other people in the household are likely to not be considered.

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which has to involve all groups in the population.

In this problem, a random sample should involve the books of all people in the household, not only Jamaya's. Hence, it is not a random sample, as it considers only the books in her bedroom, hence books from other people in the household are likely to not be considered.

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The given polynomial 81a² − 25z⁶ is not a difference of two squares because −25z⁶ is not a perfect square.

We can see that 81a² is a perfect square because it is equal to (9a)². However, 25z⁶ is not a perfect square because it can't be written as the square of a single term.

Therefore, we cannot factor 81a² − 25z⁶ into the difference of two squares.

\( \: \: \: \)

Answer: B. Two billion, eighty million :)

Answer:

Option 3: -2

Step-by-step explanation:

The slope of the graph is negative, and the only option with a negative term for the slope is -2.

So the slope of the graph is -2.

Answer:

0.753

Step-by-step explanation:

do 753/1000 and do the long division

Answer:

Step-by-step explanation: $130-$70 lift = $60/$20 per hour= 3 hours ski time

The total centimeters that the plants grew in all was 200 centimeters or 2.00 centimeters when written as a decimal.

Centimetres (cm) is a unit of length in the metric system, equal to one-hundredth of a metre. It is commonly used in everyday life, for example when measuring the height of a person or the size of a room. Centimetres are also used in scientific and engineering measurements, such as the size of an object or the distance between two points. Centimetres are divided into millimetres, which are one-thousandth of a metre.

This can be written as a decimal as 2.00 centimeters.

To determine the total centimeters, we simply add the individual centimeter measurements of the two plants.

Daysha's plant grew 100 centimeters and India's plant grew 100 centimeters.

Therefore, the total centimeters that the plants grew in all was 200 centimeters, or 2.00 centimeters when written as a decimal.

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Answer: Y

Step-by-step explanation:

Since f(x) passes through (0,3), its inverse should pass through (3,0).

Also, since f(x) has a negative slope, so its inverse should also have a negative slope.

The graph of the inverse of function is shown in figure.

We have to given that,

Function is defined as,

f (x) = - 3x + 3

Hence, The inverse of function f (x) is,

f (x) = - 3x + 3

y = - 3x + 3

Solve for x,

3x = y + 3

Divide by 3;

x = (y + 3) / 3

Hence,

f⁻¹ (x) = (x + 3) / 3

f⁻¹ (x) = x/3 + 1

Therefore, The graph of the inverse of function is shown in figure.

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Answer:

5 squareroot 2

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Answer:

Step-by-step explanation:

\(\sqrt{10} \times \sqrt{5} =\sqrt{2 \times 5 } \times \sqrt{5} =(\sqrt{5})^{2} \sqrt{2} =5\sqrt{2}\)

y2-y1/x2-x1

= (-1-3)/(5+1)

= -4/6

= -2/3

y = -(2/3)x + c

3 = (2/3) + c

c = -2/3 + 3

c = -2/3 + 9/3

c = -7/3

y = (2/3)x + (7/3)

Answer:

Given:

Area of the sector (A) = 104π/9 square inches

Central angle (θ) = 65 degrees

The formula for the area of a sector of a circle is:

A = (θ/360) * π * r^2

We can rearrange this formula to solve for the radius (r):

r^2 = (A * 360) / (θ * π)

Plugging in the given values:

r^2 = (104π/9 * 360) / (65 * π)

r^2 = (104 * 40) / 9

r^2 = 4160 / 9

r^2 ≈ 462.22

Taking the square root of both sides:

r ≈ √462.22

r ≈ 21.49

Therefore, the radius of the circle is approximately 21.49 inches.

Answer: 8 inches

Step-by-step explanation:

The table of the number of students is a two-way table, and can be used to determine probability

The probability that a selected person is a girl and do not want the time to be increased is 0.193

The question is incomplete, so I will give an instance on how to calculate probability using the table

The table entries are given as:

           Increase the Time    Do Not   Increase the Time  No Opinion

Boys                 35                                     19                                    6

Girls                  50                                     28                                    7​

In the above table, the total number of students is:

Total = 35 + 19 + 6 + 50 + 28 + 7

Total = 145

From the table, 28 girls do not want to increase time.

So, the probability that a selected person is a girl and do not want the time to be increased is:

p = 28/145

Divide

p = 0.193

Hence, the probability that a selected person is a girl and do not want the time to be increased is 0.193

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Answer: \(g(-2)=2a\)

Step-by-step explanation:

\((f \cdot g)(-2)=f(-2)g(-2)\\\\\therefore a \cdot g(-2)=2a^2 \implies g(-2)=2a\)

The function g(-2) from the given functions is 2a.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given functions are f(-2)=a and (f·g)(-2)=2a².

Here, (f·g)(-2)=2a²

f(-2)·g(-2)=2a²

a·g(-2)=2a²

g(-2)=2a²/a

g(-2)=2a

Therefore, the function g(-2) is 2a.

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Answer:

B

seems to be the most precise. I don't know what it means by precise but B is the lucky guess

Answer:

\(\sf\frac{q-2ts}{2(s+t)} =r\)

Step-by-step explanation:

q = 2ts + 2sr + 2rt

First, subtract 2ts from both sides.

q - 2ts = 2sr + 2rt

Now, take the common factor out.

q - 2ts = 2r ( s + t )

Divide both sides by ( s + t ).

\(\sf\frac{q-2ts}{(s+t)} =2r\)

Now divide both sides by 2 and make "r" the subject.

\(\sf\frac{q-2ts}{2(s+t)} =r\)

The result of the unknown variable x is equivalent to 7

Linear equations are equation that has a leading degree of 1. Given the expression below:

5(3x − 15) + 16 = 5x + 11

Expand the expression

5(3x) - 5(15) + 16 = 5x + 11

15x - 75 + 16 = 5x + 11

15x - 5x - 59 - 11 = 0

10x - 70 = 0

10x = 70

Divide both sides by 10

10x/10 = 70/10

x = 7

Hence the value of x makes the equation true is 7

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Question

Which division problem does the diagram below best illustrate?

A diagram with 5 ovals containing 7 squares.

30 divided by 5 = 6

35 divided by 7 = 5

21 divided by 7 = 3

40 divided by 5 = 8

Answer:

B

The division which correctly illustrates a diagram with 5 ovals containing 7 squares is: 35 divided by 7 = 5

"It is the process of breaking a number up into equal parts."

"It is a statement which consists of equal symbol between two algebraic expressions."

For given example,

A diagram with 5 ovals containing 7 squares,

This means, there is an unknown number X such that:

⇒ X/7 = 5

Now, we can solve the equation for X.

⇒ X/7 = 5

⇒ (X/7) × 7= 5 × 7

⇒ X = 35

Therefore, the division which correctly illustrates a diagram with 5 ovals containing 7 squares is: 35 divided by 7 = 5

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Answer:

Step-by-step explanation:

To find the value of x we can use either sine or cosine

Using cosine we have

From the question

x is the hypotenuse

4 is the adjacent

We have

We have the final answer as

Hope this helps you

Step-by-step explanation:

Sinø=opp/hyp

Sin45=4/x. (× b.s by x)

xSin45=4. (÷ b.s by Sin 45)

x=4/Sin45

x=4.7

Answer:

I'm not saying this is right, but I'd try it...

Step-by-step explanation:

Look at the X.

It's positionined by a 5.

There's no h, but we can infer that the line has something to do with it.

Look at the line's points.

Try to find an equation.

Answer:

Step-by-step explanation:

for 5 it is the blues

Answer:

D is the answer

Step-by-step explanation: