Consider the following differential equation to be solved using a power series as in Example 4 of Section 4.1. y' = xy Using the substitution y = cx, find an expression for the following coefficients. (Give your answers in terms of Co.) n = 0 200 C3 = 0 cs = (No Response) 10 C6 = (No Response) Find the solution. (Give your answer in terms of Co.) y(x) = Co. (No Response) n = 0

The two non negative real numbers with a sum of 64 that have the largest possible​ product are; 32 and 32.

Let the two numbers be x and y.

Thus, if their sum is 64, then we have;

x + y = 64

y = 64 - x

Their product will be;

P = xy

Putting (64 - x) for y in the product equation we have;

P = (64 - x)x

P = 64x - x²

Since the product is maximum, let us find the derivative;

P'(x) = 64 - 2x

At P'(x) = 0, we have;

64 - 2x = 0

2x = 64

x = 64/2

x = 32

Thus; y = 64 - 32

y = 32

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The number of possible values that can be assigned to the type "logic" is 2, and the correct answer is option c.2.

In logic, the type "logic" refers to a variable or proposition that can take on one of two possible values: true or false.

These values are commonly denoted as 1 (true) and 0 (false), or alternatively as "T" and "F".

Since the type "logic" can only have two possible values, the correct answer is option c.2.

There are no other valid values for this type.

It is important to note that in some programming languages or systems, additional representations or extensions of logic may exist.

For example, some languages may include a "null" or "undefined" value in addition to true and false.

However, in the context of a basic logic type, the number of possible values remains restricted to two: true and false.

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Only scenario 2 is Binomial here.

What exactly are binomials?

A binomial polynomial is a polynomial with just 2 terms. For example, x + 2 is a binomial, where x and 2 are two independent terms. Furthermore, the coefficient of x is one, the exponent of x is one, and the constant is two. As a result, a binomial is a two-term algebraic statement with variables, coefficients, exponents, and a constant.

x² + 4x is another example of a binomial polynomial. As a result of this binomial, we may assert the following:

The two words are x² and 4x.

x = variable

x² has an exponent of 2 and x is 1.

The coefficient of x² is one, whereas the coefficient of x is four.

Now,

As there are four requirements that must be satisfied for an experiment to be binomial and those are

and only scenario 2 satisfies these conditions.

Hence,

             Only scenario 2 is Binomial here.

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Answer: (3,2)

Step-by-step explanation:

For this set of system of equations, let's use elimination method to find x and y. Let's eliminate y first. In order to do so, the y values have to be the same. Therefore, you multiply the top equation by 3 and the bottom equation by 4.

9x+12y=51

-16x-12y=-72

Now, we can add the 2 equations together for the y to cancel out.

-7x=-21

x=3

Since we know x, we can plug it into any of the equations to find y.

3(3)+4y=17

9+4y=17

4y=8

y=2

With out x and y value, we can put them into an ordered pair. (3,2)

Answer:

113.142 mm

Step-by-step explanation:

Easy.

Formula:

pi x radius x radius

Solution: 3.141592654 or 22/7 for pi

22/7 x 6 x 6 = 113.142 mm

In this exercise we have to use our knowledge of finance to calculate the amount paid last week, so we have:

\(\$580\)

From the information given in the statement we have that:

Now performing the calculations of the values ​​previously informed, we have that:

\(40*10=400\\5*12=180\\400+180=580\)

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Answer:

.5 = 50%

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

So probabilityof getting a head or tail, when an unbiased coin is tossed is = 1

Before adding equations, one must first understand the problem and identify what you are trying to solve.

we must also make sure that both equations are written in the same form, and that all variables are written in the same order. we should also check to make sure that each equation contains the same number of terms and that all terms have the same variables.

Finally, we should check to make sure that the equations have the same number of unknown, so that the equations can be added together. If any of these conditions are not met, we should simplify the equations or manipulate them until all conditions are met.

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Given:

Stephen and Bridget win some money and share it in the ratio 4:1.

Stephen gets £33 more than Bridget.

To find:

The money they get altogether.

Solution:

Let Stephen and Bridget will get the amount of 4x and x respectively.

Stephen gets £33 more than Bridget.

\(4x-x=33\)

\(3x=33\)

Divide both sides by 3.

\(x=11\)

Now,

Stephen get: \(4(11)=44\)

Bridget get: \(11\)

Total amount = \(44+11=55\)

Therefore, the amount they will get altogether is £55.

Another term that accountants use to refer to "cost recovery" is "cost reimbursement."

In accounting, "cost recovery" refers to the process of recouping or recovering the expenses incurred by a company through various means such as sales revenue, reimbursements, or cost allocation.

Another term commonly used to describe this concept is "cost reimbursement." It signifies the reimbursement of costs to the company, ensuring that the expenses are covered and recovered, often through reimbursement agreements with clients or partners.

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Here is some info that might help


-2 factors is a hint



+0 +2 +4 is a fractor of 4/1


if not 41

Answer:

Pretty sure its 20

Step-by-step explanation:

I just did the math

Answer:

5 i think

Step-by-step explanation:

§(*￣▽￣*)§§(*￣▽￣*)§§(*￣▽￣*)§§(*￣▽￣*)§§(*￣▽￣*)§(∪.∪ )...zzz(∪.∪ )...zzz(∪.∪ )...zzz(∪.∪ )...zzz

Answer:

c)

Step-by-step explanation:

x - 2 ---------------> members in the band with the absentees.

So, x will give the number of members in the band

Answer:

sorry i can't clear

Based on the given function, the average temperature in the town between 3 A.M. (t= 3) and 6 A M. (t = 6), in degrees Fahrenheit is 57.797°. (Option B)

The temperature, in degrees Fahrenheit, in a small-town t hours after midnight (t 0) is modeled by the function g(t)= 65 - 8 sin (πt/12). Hence, the average temperature in the town between 3 A.M. (t= 3) and 6 A M. (t = 6), in degrees Fahrenheit is given by:

1/((6-3)) ∫_3^6▒〖(65-8 sin⁡(πt/12)dt〗

65/3 t+  32/π  cos⁡(πt/12)

(65π-16√2)/π

57.797

Note: The question is incomplete. The complete question probably is: On a certain day, the temperature, in degrees Fahrenheit, in a small-town t hours after midnight (t 0) is modeled by the function g(t)= 65 - 8 sin (πt/12). What is the average temperature in the town between 3 A.M. (t= 3) and 6 A M. (t = 6), in degrees Fahrenheit? A) 57.609° B) 57.797° C) 58.172° D) 59.907°.

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Answer:

1/4

Step-by-step explanation:

there are 2 footballers

and 8 other sports

therefore, 2/8 or 1/4

Answer:

V=128

Step-by-step explanation:

Answer:

V =128ft^3

Step-by-step explanation:

V=lwh=4*4*8=128

Answer:

La mitad es 500

Step-by-step explanation:

Answer:

500

Step-by-step explanation:

500 + 500= 1000

The equation of the line in R² through distinct points (x₁, y₁) and (x₂, y₂)  x(y₂ - y₁) - y(x₂ - x₁) = 0. The 3 × 3 determinant equation similar to Exercise 7 that describes the equation of the line through (x₁, y₁) with slope m is m -1 y₁ - mx₁ = 0 x y 1 ,x₂ y₂ 1 .

The equation of the line in R² through distinct points (x₁, y₁) and (x₂, y₂) x(y₂ - y₁) - y(x₂ - x₁) = 0, the point-slope form of the equation of a line.

The point-slope form of the equation of a line passing through a point (x₁, y₁) with slope m is given by

y - y₁ = m(x - x₁)

Substituting the given points (x₁, y₁) and (x₂, y₂),

For the point (x₁, y₁)

y - y₁ = m(x - x₁) (1)

For the point (x₂ y₂)

y - y₂ = m(x - x₂) (2)

To eliminate y, equation (2) from equation (1)

(y - y₁) - (y - y₂) = m(x - x₁) - m(x - x₂)

y - y₁ - y + y₂ = m(x - x₁) - m(x - x₂)

y - y + y₂ - y₁ = m(x - x + x₂ - x₁)

y₂ - y₁ = m(x₂ - x₁)

Rearranging the equation,

x(y₂ - y₁) - y(x₂ - x₁) = 0

For Exercise 8, to find a 3 × 3 determinant equation similar to that in Exercise 7 that describes the equation of the line through (x₁, y₁) with slope m, the point-slope form as before.

The equation of the line passing through (x₁, y₁) with slope m

y - y₁ = m(x - x₁)

Expanding the equation,

y - y₁ = mx - mx₁

Rearranging terms,

mx - y + y₁ - mx₁ = 0

Comparing this equation with the determinant equation from Exercise 7

x y ₁ , x₁ y₁ 1  = 0 x₂ y₂ 1

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Answer:

Remember that a line segment is the portion of a straight line that directly connects two given points. Unlike a line, it does not extend off to infinity in both directions. To find the length, we just use the distance formula between the two points provided.

Example:

Find the distance between (-2,8) and (-7,-5). Said another way, find the length of the line segment between points (-2,8) and (-7,-5).

First, find the distance between the x-coordinates. To do this, subtract one number from the other and then take its absolute value.

We have: |-2-(-7)| = |5| = 5.

Then repeat with the y-coordinates.

We have: |8-(-5)| = |13| = 13.

NOTE: It does NOT matter which way you subtract the numbers because the absolute value of the answer would be the same anyway.

Finally, to compete the length (or distance), square BOTH values, add them, and take the square root. Here's the first part:

\(5^{2}\)  +  \(13^{2}\)  = 25  +  169  =  194

Taking the square root of 194 and rounding to TWO decimal places, we get a distance of 13.93:

\(\sqrt(194)\)  =  13.93

By the way, what you are actually doing is using the Pythagorean Theorem on an imaginary right triangle with the line joining the two lines being the hypotenuse.

The general formula for distance between two points is the following:  \(\sqrt{x^2+y^{2}\)  , where x and y are the change in x and y between the two points.

Answer: The answer is 8

Step-by-step explanation:

Answer:

Both of the arrowed ones are the sides

Answer: 3x^3 + 2x^2 −27x −18

Step-by-step explanation below.

(x+3)(x−3)(3x+2)

=((x+3)(x−3))(3x+2)

=((x+3)(x−3))(3x)+((x+3)(x−3))(2)

=3x3−27x+2x2−18

=3x3+2x2−27x−18

Hope this helps!

Answer:

Stan BTS

Step-by-step explanation:

Answer:

I think it is the first one

Step-by-step explanation:

Aya can make 14 mats of 1 foot long.

Division is one of the fundamental arithmetic operation, which is performed to get equal parts of any number given, or finding how many equal parts can be made. It is represented by the symbol "÷" or sometimes "/"

Given that, Aya has 14\(\frac{2}{5}\) feet of chain. She wants to make pieces foot long mat.

Let can make x mats out of the given chain, since each mat is 1 foot long, so,

1×x =  14\(\frac{2}{5}\)

x = 72/5

x = 14.4

x ≈ 14

Hence, She can make 14 mats out of the given chain.

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The correct formula that defines an arithmetic sequence is option d) tn = 5n + 14.

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. In other words, each term can be obtained by adding a fixed value (the common difference) to the previous term.

In option a) tn = 5 + 14, the term does not depend on the value of n and does not exhibit a constant difference between terms. Therefore, it does not represent an arithmetic sequence.

Option b) tn = 5n² + 14 represents a quadratic sequence, where the difference between consecutive terms increases with each term. It does not represent an arithmetic sequence.

Option c) tn = 5n(n+14) represents a sequence with a varying difference, as it depends on the value of n. It does not represent an arithmetic sequence.

Option d) tn = 5n + 14 represents an arithmetic sequence, where each term is obtained by adding a constant value of 5 to the previous term. The common difference between consecutive terms is 5, making it the correct formula for an arithmetic sequence.

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Answer:

It is $66.50 cheaper to purchase a return trip ticket than it is to purchase 2 one-way tickets.

Step-by-step explanation:

It is asking us how much does 2 one-way tickets costs as opposed to a return trip ticket.  First, let's figure out how much does 2 one-way tickets cost.

Equation:

287.75 x 2 = 575.50

2 one-way tickets cost $575.50.

Then, to find the difference, subtract the return trip cost from the two one-way tickets.  

Equation: 575.50 - 509.00 = 66.50

The difference between the two is $66.5

Conclusion: It is $66.50 cheaper to purchase a return trip ticket than it is to purchase 2 one-way tickets.

I hope this helps!

Answer:

$ 66.50 cheaper

Step-by-step explanation:

A one way ticket cost $287.75 so two one way tickets cost $575.50. A return trip costs $509.00. 575.50-509.00=66.50

Therefore a return trip is $66.50 cheaper than two one way trip tickets. :))) <3

There are \($36,300$\) different teams that can be formed.

Hills class has 11 male and 12 female students and they need to choose 3 males and 3 females for the Dodgeball team to attempt to beat the faculty team. The number of ways to choose three males from a group of 11 is given by the combination formula: \($C(11,3)=165$\). Similarly, the number of ways to choose three females from a group of 12 is given by the combination formula: \($C(12,3)=220$.\)

Therefore, the number of ways to choose 3 males and 3 females from the class is the product of the two combinations: $C(11,3) \times C(12,3) = 165 \times 220

\(= 36,300$\) Therefore, there are \($36,300$\) different \(\($C(11,3) \times C(12,3)

= 165 \times 220\)\) teams that can be formed.

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