Find the interval of convergence (if any) of the following power series. n! Σn=0 2η

Using Algebraic expression solution ,

The cost of three hats is $18 .

We have given that,

A hat company charge for design fee $4 per hat .

i.e design fee of one hat = $4

total cost of 5 hats = $30

let the cost of one hat without design fee be $x and total cost of one hat is $(x+4) .

using the above statement, we get an algebraic expression,

5( x+ 4)= 30

we solve the above algebra expression,

=> 5x + 20 = 30

=> 5x = 10

=> x = 2

so, cost of a hat without design fee is $2

and total cost of one hat is $6.

we have to calculate cost of 3 hats .

cost of one hat in hat company= $ 6

cost of three hats in hat company= $(6×3)

= $18

Hence, the total cost of 3 hats is $18.

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Answer:

100$

Step-by-step explanation:

he profit from 1 popcorn=0.85$

from 200=170$

170$-70$=100

Answer: 100 dollars

Step-by-step explanation:

part a. )

Side AB:

Length: dAB = √[(2 - 3)² + (7 - 0)²] = √(10) = 3.16

Slope: mAB = (7 - 0) / (2 - 3) = -7

Side AC:

Length: dAC = √[(6 - 3)² + (4 - 0)²] = √(25) = 5

Slope: mAC = (4 - 0) / (6 - 3) = 4/3

Side BC:

Length: dBC = √[(6 - 2)² + (4 - 7)²] = √(20) =  4.47

Slope: mBC = (4 - 7) / (6 - 2) = -3/4

part b.)

some special relationships between the sides of Triangle ABC:

We will  use the distance formula and slope formula.

The distance formula is:

d = √[(x2 - x1)² + (y2 - y1)²]

And the slope formula is:

m = (y2 - y1) / (x2 - x1)

Side AB:

Length: dAB = √[(2 - 3)² + (7 - 0)²] = √(10) ≈ 3.16

Slope: mAB = (7 - 0) / (2 - 3) = -7

Side AC:

Length: dAC = √[(6 - 3)² + (4 - 0)²] = √(25) = 5

Slope: mAC = (4 - 0) / (6 - 3) = 4/3

Side BC:

Length: dBC = √[(6 - 2)² + (4 - 7)²] = √(20)  = 4.47

Slope: mBC = (4 - 7) / (6 - 2) = -3/4

The slopes of sides AB and BC are negative, which indicates  that these sides slope downwards from left to right on the coordinate plane.

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The value of result after executing the statement is 30.

To evaluate the expression and find the value of result, let's break down the operations step by step, following the order of operations (PEMDAS/BODMAS):

Inside the parentheses, we have:

3 × 5 = 15

Next, the expression becomes:

15 × 24 / (15 - (7 - 4))

Inside the inner parentheses:

7 - 4 = 3

Now, the expression becomes:

15 × 24 / (15 - 3)

Inside the parentheses:

15 - 3 = 12

The expression simplifies to:

15 × 24 / 12

Multiplication:

15 × 24 = 360

Division:

360 / 12 = 30

Therefore, the value of result after executing the statement is 30.

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The mathematical expression 'result = (3 * 5) * 24 / (15 - (7 - 4))' simplifies to 'result = 15 * 24 / 12', leading to a final value of 30.

The task here is to understand and solve the provided mathematical expression, which is result = (3 * 5) 24 / (15 - (7 - 4)). However, this expression seems to contain a typo - there's an operation missing between (3 * 5) and 24. Let's assume that the operation is multiplication, turning the expression into result = (3 * 5) * 24 / (15 - (7 - 4)).

Then, performing the multiplication and division in order from left to right gives the result as 30.

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Answer:

20/27

Step-by-step explanation:

Answer:

1=8

2=16

5=40

6=48

10=80

12=96

Step-by-step explanation:

you have to multiply by 8 with the left numbers and you divide by 8 with the right numbers

The equations that are equivalent to E = mc² are c = √(E/m) and m = E/c²

Algebraic equations with equivalent solutions or roots are called equivalent equations. An equivalent equation is one that is created by adding or subtracting the identical quantity or expression from both sides of a given equation. An equation is equivalent if both sides are multiplied or divided by the same non-zero value.

Here we have

Given formula E = mc²

=> Divide the formula by m on both sides

=> E/m = mc²/m    

=> E/m = c²

=> c² = E/m

=> m = E/c²

Apply square root on both sides

=>  √c² = √(E/m)

=>  c =  √(E/m)

Therefore,

The equations that are equivalent to E = mc² are c =  √(E/m) and m = E/c²

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If person A and person B have equal positive amounts of goods X and Y and person A values good X more than good Y and person B values good Y more than good X, there are mutually beneficial trades available.

Mutually beneficial trades are the kind of trades that benefit both parties in a trade agreement. A mutually beneficial trade occurs when two countries or individuals trade and both benefit from the transaction. In the case where person A and person B have equal positive amounts of goods X and Y and person A values good X more than good Y and person B values good Y more than good X, there are mutually beneficial trades available. This is because person A would be more willing to trade his good Y for Person B’s good X since person A values good X more than good Y and person B would be more willing to trade his good X for person A’s good Y since person B values good Y more than good X. In this way, both parties would benefit from the transaction because they would be trading the goods they value less for the ones they value more.

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Answer:

Hope it helps dear.Please let me know

Answer:

The answer is 6 wholes and 7/8ths.

Answer: 4x -8+ 125x -4x +5

There are 30 students in the Maths class, 30 students in the English class and 40 students in the history class using Gauss-Jordan elimination to solve the system of equations.

We shall derive and solve the system of equations as follows:

homework questions corrected per week;

10x + 20y + 30z = 2100...(1)

number of homework papers corrected per week;

x + y + z = 100...(2)

x = number of students in the math class

y = number of students in the English class

z = number of students in the history class.

since the maths and English classes have the same number of students then x = y and: equations (1) and (2) becomes;

10x + 20x + 30z = 2100

30x + 30z = 2100

30(x + z) = 2100 {divide through by 30}

x + z = 70...(3)

x + x + z = 100

2x + z = 100...(4)

Subtract equation (3) from (4) to eliminate z

2x + z - x - z = 100 - 70

x = 30

Now we will substitute this value of x back into the equation (4) such that;

2(30) + z = 100

60 + z = 100

z = 100 - 30 {subtract 60 from both sides}

z = 40

So there are 30 students in the Maths class, 30 students in the English class and 40 students in the history class using Gauss-Jordan elimination to solve the system of equations.

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A change in a population that is not related strictly to the size of the population can be described as a change in the demographic makeup of the population. This refers to changes in the characteristics of individuals within the population, such as age, gender, education level, and ethnicity.

For example, if a population experiences an influx of young adults, this would represent a change in the demographic makeup of the population, even if the overall size of the population remains the same.

Other factors that can contribute to a change in the population's makeup include migration patterns, changes in birth rates and mortality rates, and shifts in cultural or social norms. These changes can have significant impacts on a population, affecting everything from economic growth to social dynamics. Understanding demographic changes is therefore critical for policymakers and researchers seeking to address issues such as inequality, public health, and urban planning. By analyzing population trends and anticipating future changes, we can better prepare for the challenges and opportunities that lie ahead.

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Answer:

12:55

Step-by-step explanation:

12 + 8+ 9 + 10 + 16 = 55

good luck, i hope this helps :)

Answer:

12/55

Step-by-step explanation:

Answer:

1) Iteration is similar to using a recursive formula because you use the output from the previous calculation as the input to find the next answer.

Iteration is similar to using a recursive formula because you use the output from the previous calculation as the input to find the next answer. The correct option is A.

The process of defining a problem or the solution to a problem in terms of a simpler version of itself is known as recursion. There are two kinds of recursion. The first is direct recursion, and the second is indirect recursion.

As a result, recursion is a method of problem-solving in which the solution is dependent on solutions to smaller instances of the same problem.

Therefore, the correct option is A, which is Iteration is similar to using a recursive formula because you use the output from the previous calculation as the input to find the next answer.

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Answer: B. Elevator 1 is 18 feet above ground level, and Elevator 2 is 20 feet below ground level.

Step-by-step explanation:

Let "up" be positive and "down" be negative.

Both elevators start at position x = 0

The change in x (Δx) of Elevator 1 is +18 feet, which means it is 18 feet above the origin (which is ground level)

The change in x (Δx) of Elevator 2 is -20 feet, which means it is 20 feet below the origin (which is ground level)

Therefore, Elevator 1 is 18 feet above ground level, while Elevator 2 is 20 feet below

Answer:

Awnser B :) Hope i helped

Step-by-step explanation:

The probability that the sample proportion will differ from the population proportion by less than 6% is 0.992.

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

цр = р

The standard deviation of this sampling distribution of sample proportion is:

бр = √ρ(1-ρ)÷n

The information provided is:

ρ = 0.22

ⁿ = 276

As the sample size is large, i.e. n = 276 > 30, the Central limit theorem can be used to approximate the sampling distribution of sample proportion.

Compute the value of P(р-p<0.06) as follows:

P(р-p<0.06) = P(р-p ÷ бp<0.06 ÷√0.22(1 - 0.22) ÷ 276

= P ( Z < 2.41 )

= 0.99202

≈ 0.992

Thus, the probability that the sample proportion will differ from the population proportion by less than 6% is 0.992.

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Answer:

To convert mm³ to cm³, we need to divide the volume in mm³ by the cube of the conversion factor (10 mm = 1 cm).

1 cm = 10 mm

1 cm³ = (10 mm)³ = 1000 mm³

So, to convert 8400 mm³ to cm³, we divide by (10 mm)³ = 1000 mm³:

8400 mm³ / 1000 mm³/cm³ = 8.4 cm³

Therefore, the volume of the die in cm³ is 8.4 cm³.

give thanks po and rate 5* if this helps u~

Taylor polynomials of degree 2 and 3 centered at x = 0 for the function f(x) = 16tan(x) are:

P2(x) = 16x + 8x^2

P3(x) = 16x + 8x^2

To find the Taylor polynomials centered at x = 0 for the function f(x) = 16tan(x), we can use the Taylor series expansion for the tangent function and truncate it to the desired degree.

The Taylor series expansion for tangent function is:

tan(x) = x + (1/3)x^3 + (2/15)x^5 + (17/315)x^7 + ...

Using this expansion, we can find the Taylor polynomials of degree 2 and 3 centered at x = 0:

Degree 2 Taylor polynomial:

P2(x) = f(0) + f'(0)(x - 0) + (1/2!)f''(0)(x - 0)^2

= 16tan(0) + 16sec^2(0)(x - 0) + (1/2!)16sec^2(0)(x - 0)^2

= 0 + 16x + 8x^2

Degree 3 Taylor polynomial:

P3(x) = P2(x) + (1/3!)f'''(0)(x - 0)^3

= 0 + 16x + 8x^2 + (1/3!)(48sec^2(0)tan(0))(x - 0)^3

= 16x + 8x^2

Therefore, the Taylor polynomials of degree 2 and 3 centered at x = 0 for the function f(x) = 16tan(x) are:

P2(x) = 16x + 8x^2

P3(x) = 16x + 8x^2

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After finalizing the  book size, the next order of business is to position the text block on the page. It refers to the tall column of type that makes up your text pages.

In most cases, people seem to want to put the text in the middle of the page. That’s understandable if all you’ve ever done with your word processor or layout program is to create single-page documents or short reports that are merged together.

But when your pages are going to end up bounded into a book, vertical centering isn’t the best way to go. That’s because the pages of a book, when you’re reading it, aren’t flat the way a single piece of paper.

As printed book isn’t going to open completely flat, we always leave more room on the inside margins of our pages.

We even have a language for referring to this inside margin, whether it’s the left side of the page (right-hand, or odd-numbered pages) or the right (left-hand, even-numbered pages). That inside margin is referred to as the “gutter” margin.

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The amount of natural gas that homeowners can expect to use per month is influenced by various factors, including insulation levels and outdoor temperature.

However, without additional information or an established relationship between these factors, it is not possible to provide a precise estimate.

Insulation levels and outdoor temperature are just a few of the many factors that affect natural gas usage.

Other factors such as the size and efficiency of the heating system, the size and layout of the home, the insulation of walls and windows, and individual usage patterns can significantly impact gas consumption.

To obtain a more accurate estimate, it is recommended to consult energy professionals, utility companies, or use energy consumption calculators specifically designed for estimating natural gas usage based on multiple variables.

These tools take into account various factors to provide a more accurate estimation of monthly natural gas consumption.

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Answer:

3,6,9

Step-by-step explanation:

123 456 789

Answer:

85

Step-by-step explanation:

hi plz mark brainlist

The probability that 117 or fewer of 205 randomly selected marketing researchers would disapprove of the practice = 0.0104.

When the sample size is large, the binomial distribution is employed instead of the normal approximation since the calculation becomes more complicated when the sample size is large.

Now,

Let the sample size be n and the number of people who disapprove of the practice be x.

Then, n = 205, x = 117

Then, by normal approximation, the value of mean (μ) will be given by:

μ = np = 205(0.65) = 133.25

Standard deviation (σ) = \(\sqrt{np(1-p)}\)

σ = 205(0.65)(1 - 0.65) = 133.25(0.35) = 6.83

The probability that 117 or fewer of 205 randomly selected marketing researchers would disapprove of the practice:

P(x ≤ 117) = P (x < 117 + 0.5) (By Continuity correction Factor)

=> P(x ≤ 117) = P ( x < 117.5)

=> P(x ≤ 117) = P ( z < \(\frac{117.5 - 133.25}{6.83}\))

=> P(x ≤ 117) = P ( z < -2.31)

=> P(x ≤ 117) = 0.0104

Hence, the probability that 117 or fewer of 205 randomly selected marketing researchers would disapprove of the practice = 0.0104.

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If im not mistaken and the correct answer is 4(x)+4(2)

Answer:

4(x)+4(2)

Step-by-step explanation:

in the term 4(x+2) the four is distributed to the x and the 2 making two seperate terms of 4 times x and then 4 times 2

Answer: y=150x+50

Step-by-step explanation:

y=150*7+50

y=1100

Answer:

(-3,2)

Step-by-step explanation:

the x component should be less than or equal to 3.

the y component is greater than -2.

Go through each option and you'll see that the only option that satisfies both conditions is 3.

The following can be used to rewrite the provided expression:            6(24) = 6(20 + 4).

The distributive Property states in that it is necessary to multiply every one of the two numbers by the factor before performing the addition operation when a factor is multiplied by that of the sum or addition of two terms. The distributive law, which states that in elementary algebra, equality is always true, is generalized by the distributive principle of binary operations.

The following generic form can be used to specify the distribution property:

a(b+c) = ab + bc

the following expression:

6(24)

We can observe the following by contrasting this to the general form:

a = 6

b + c = 24

Consequently, we must identify two integers from the options whose sum is 24.

These numbers, out of the options provided, are 20 and 4.

The following can be used to rewrite the provided expression:            6(24) = 6(20 + 4).

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