The first term is 9, each term is 8 more than double the previous term

Answer:

20mm

Step-by-step explanation:

The problem gives A=140mm^2 and h=14mm

It also gives the equation A=1/2bh

Plug in what you know --> 140=1/2(b)(14)

To solve for b, fist multiply 140 by 2

Now we have 280=14b

Divide by 14, and you get your answer of b=20mm

Answer:

The first on is -80,

next one is -60

third one 3

last one is -54

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I first combined like terms. next I subtracted the x on the left from both sides. Lastly, I subtracted 3 from both sides. hope this helped!

Answer:

The line segment that is a radius is FD.

Hope it will help:)❤

Answer:

Step-by-step explanation:

6 - 2x = 5x - 9x + 10  {add the like terms}

6 - 2x = - 4x + 10        {add (-6) to both side}

6 - 2x - 6 = - 4x + 10 - 6

-2x = - 4x + 4         {add 4x to both sides}

-2x + 4x = -4x + 4 + 4x

2x = 4           {divide both sides by 2}

2x/2x = 4/2

x = 2

The margin of error for a 99% confidence interval is approximately 1.41%. The margin of error is larger for a 90% confidence interval compared to a 99% confidence interval.

A confidence interval is a range of values within which the true population parameter is likely to fall. The margin of error represents the maximum amount of error that is acceptable in estimating the population parameter. In general, a higher confidence level requires a larger margin of error to ensure a more precise estimate.

When calculating a confidence interval, the critical value (also known as the z-score) is used to determine the margin of error. The critical value is based on the desired confidence level. A 99% confidence level corresponds to a larger critical value compared to a 90% confidence level. Since the margin of error is directly proportional to the critical value, a higher confidence level will result in a larger margin of error.

In summary, the margin of error for a 99% confidence interval is approximately 1.41%. The margin of error is larger for a 90% confidence interval compared to a 99% confidence interval because a higher confidence level requires a larger margin of error to provide a more precise estimate.

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Answer:

A.

Step-by-step explanation:

Answer:

23/27

Step-by-step explanation:

The square root of 529 is 23

while the square root of 729 is 27

Answer:

23/27

Step-by-step explanation:

529=23^2

729=27^2

sqrt{529/729} =sqrt{\(23^{2}\)/\(27^{2}\)}

= 23/27

Answer:

n³ - 7

Step-by-step explanation:

number = n

because 7 is less then the number cubed it's being subtracted by n³

Answer:

The Forth Answer

Step-by-step explanation:

I Think That Is correct

-1/7, since parallel lines have equal slopes.

Given that a line passes through the point (3,−7) and has a slope of −43. − 4 3 . Hence, the equation of the given line is 4x+3y+9=0.

Answer:

y = -4x/3 -3

Step-by-step explanation:

y -  y1 = m( x - x1 )

y - -7 = -4/3 ( x - 3 )

y + 7 = -4x/3 + 4

y = -4x/3 -3

y = -4x/3 -3 is the equation of the line

Answer: 16

Step-by-step explanation:

an = an-1+4 ==> change in every term is +4

1=1st term

7=7th term

-8+4*(7-1)=

-8+4*6=

-8+24=16

The activation energy of the reaction is approximately 126.8 kJ/mol. The calculation was done using the Arrhenius equation and the natural logarithm of the rate constants at the two temperatures.

To calculate the activation energy of a reaction, we can use the Arrhenius equation:

k = A * e⁽⁻ᴱᵃ/ᴿᵀ⁾

where k is the rate constant, A is the pre-exponential factor, Ea is the activation energy, R is the gas constant, and T is the temperature in Kelvin.

We have two rate constants at different temperatures, so we can set up two equations:

k₁ = A * e⁽⁻ᴱᵃ/ᴿᵀ₁⁾

k₂ = A * e⁽⁻ᴱᵃ/ᴿᵀ₂⁾

We want to solve for Ea, so we can take the natural logarithm of both sides of each equation:

ln(k₁) = ln(A) - Ea/RT₁

ln(k₂) = ln(A) - Ea/RT₂

We can subtract the second equation from the first to eliminate ln(A):

ln(k₁) - ln(k₂) = Ea/R * (1/T₂ - 1/T₁)

Now we can solve for Ea:

Ea = -R * (ln(k₁) - ln(k₂)) / (1/T₂ - 1/T₁)

Plugging in the given values, we get:

Ea = -8.314 J/mol/K * (ln(6.20 x 10⁻⁴) - ln(2.39 x 10⁻²)) / (1/760 K - 1/700 K)

Ea ≈ 126.8 kJ/mol

Therefore, the activation energy of the reaction is approximately 126.8 kJ/mol.

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Answer:

NM=27

Step-by-step explanation:

x+15+2x+34=13

49+3x+13

3x=36

x=12

NM=(12)+15

NM=27

The solutions to the quadratic equation \(2x^2 + 6x - 1 = 0\), obtained by completing the square, are x = -3 + √10 and x = -3 - √10.

To solve the quadratic equation\(2x^2 + 6x - 1 = 0\)by completing the square, follow these steps:

Ensure that the coefficient of \(x^2\) is 1. In this case, it is already 2, so we don't need to make any changes.

Move the constant term to the other side of the equation. Add 1 to both sides:

\(2x^2 + 6x = 1\)

Divide the coefficient of x by 2 and square it. In this case, (6/2)^2 = 9.

Add the result from step 3 to both sides of the equation:

\(2x^2 + 6x + 9 = 1 + 9\)

Simplifying, we get:

\(2x^2 + 6x + 9 = 10\)

Write the left side of the equation as a perfect square trinomial. In this case, it is \((x + 3)^2.\)

\((x + 3)^2 = 10\)

Take the square root of both sides:

\(√[(x + 3)^2] = ±√10\)

Simplifying:

\(x + 3 = ±√10\)

Solve for x by subtracting 3 from both sides:

x = -3 ± √10

So, the solutions to the quadratic equation \(2x^2 + 6x - 1\)= 0, obtained by completing the square, are x = -3 + √10 and x = -3 - √10.

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Answer:

Step-by-step explanation:

Let the missing part be x.

According to triangle proportionality theorem we have:

The missing length will be 14 units.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The triangle is shown is figure.

Now,

Let the missing length = x

So, By the definition of triangle proportionality theorem, we get;

⇒ x/28 = 6 /(18 - 6)

Solve for x as;

⇒ x/28 = 6 /(18 - 6)

⇒ x/28 = 6 / 12

⇒ x/28 = 1 / 2

⇒ x = 28/2

⇒ x = 14

Thus, The missing length will be 14 units.

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Answer:

Deductible

Step-by-step explanation:

you pay the first $1,000 of covered services yourself

$1000 represents the deductible amount.

In the case of an accident, the policyholder must pay a deductible as the first amount; the insurance company will only cover any expenses (losses) incurred after the deductible has been paid by the policyholder.

The consumer can first set his deductible while purchasing insurance.

Smaller deductibles often result in higher rates, and larger deductibles frequently result in lower premium payments.

The insurance company has asked Manny to pay the first $1000 in an instance when he was involved in an accident and incurred charges totaling $11,500. The $1,000 deductible amount.

Hence, the answer is deductible amount.

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Answer:

12/25

Step-by-step explanation:

Find the common factor that multiplies to 24 and 25. Then divided, and keep going until you CANNOT find one.

Answer:

\(\frac{12}{25} \\\)

Step-by-step explanation:

\(\frac{24}{50} \\\\\mathrm{Factor\:the\:number:\:}\:24=2\times\:12\\\\=\frac{2\times\:12}{50}\\\\\mathrm{Factor\:the\:number:\:}\:50=2\times\:25\\\\=\frac{2\times\:12}{2\times\:25}\\\\\mathrm{Cancel\:the\:common\:factor:}\:2\\\\=\frac{12}{25}\)

"Statistics: The Art and Science of Learning from Data" (4th edition) is a valuable resource for understanding and applying statistical principles, providing insights into data analysis and decision-making processes.

Statistics is the art and science of learning from data. It involves collecting, organizing, analyzing, interpreting, and presenting data to gain insights and make informed decisions. In the 4th edition of the book "Statistics: The Art and Science of Learning from Data," you can expect to find a comprehensive exploration of these topics.

This edition may cover important concepts such as descriptive statistics, which involve summarizing and displaying data using measures like mean, median, and standard deviation. It may also delve into inferential statistics, which involve making inferences and drawing conclusions about a population based on a sample.

Additionally, the book may discuss various statistical techniques such as hypothesis testing, regression analysis, and analysis of variance (ANOVA). It may also provide real-world examples and case studies to illustrate the application of statistical methods.

When using information from the book, it is important to properly cite and reference it to avoid plagiarism. Be sure to consult the specific edition and follow the guidelines provided by your instructor or institution.

In summary, "Statistics: The Art and Science of Learning from Data" (4th edition) is a valuable resource for understanding and applying statistical principles, providing insights into data analysis and decision-making processes.

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Evaluating p(4) using Horner's algorithm:

1. To use Horner's algorithm, we write the polynomial in nested form as follows:

p(z) = ((3z - 7)z - 5)z^2 + (z - 8)z + 2

Now, we can evaluate p(4) by starting from the inside and working our way out:

p(4) = ((3(4) - 7)4 - 5)4^2 + (4 - 8)4 + 2

= (5)4^2 - 4 + 2

= 78

Therefore, p(4) = 78.

2. Finding the Taylor series expansion of p(z) about z0 = 4:

To find the Taylor series expansion of p(z) about z0 = 4, we need to compute the derivatives of p(z) at z0 = 4. First, we compute p'(z) = 6z^2 - 28z^3 - 10z^2 + 2z - 8, then p''(z) = 12z - 84z^2 - 20z + 2, p'''(z) = 12 - 168z - 20, and so on.

Using these derivatives, we can write the Taylor series expansion of p(z) about z0 = 4 as follows:

p(z) = p(4) + p'(4)(z - 4) + p''(4)(z - 4)^2/2! + p'''(4)(z - 4)^3/3! + ...

Substituting in the values we computed, we get:

p(z) = 78 + 10(z - 4) - 41(z - 4)^2/2! - 14(z - 4)^3/3! + ...

Therefore, the Taylor series expansion of p(z) about z0 = 4 is:

p(z) = 78 + 10(z - 4) - 20.5(z - 4)^2 - 2.333(z - 4)^3 + ...

3. Using Newton's method to find a root of p(z):

To use Newton's method to find a root of p(z), we start with an initial guess z0 = 4 and iterate the formula z1 = z0 - p(z0)/p'(z0) until we reach a desired level of accuracy.

4. We already computed p'(z) in part 2, so we can use the formula to compute z1 as follows:

z1 = z0 - p(z0)/p'(z0)

= 4 - (78 + 10(4) - 20.5(4 - 4)^2 - 2.333(4 - 4)^3)/[6(4)^2 - 28(4)^3 - 10(4)^2 + 2(4) - 8]

= 3.9167

We can continue to iterate using this formula to get better approximations for the root of p(z).

Horner's algorithm is a fast and efficient way to evaluate a polynomial at a particular point. It involves using the distributive property of multiplication to rewrite a polynomial in a nested form, then evaluating the polynomial from the inside out.

In this problem, we will use Horner's algorithm to evaluate p(4) for a given polynomial, find its Taylor series expansion about the point z0 = 4, and then use Newton's method to find an approximation for a root of the polynomial.

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Answer:

Step-by-step explanation:

(x,y)→(11.2x,11.2y)

Using Exponential Smoothing ,

if the smoothing factor is higher that means more weight placed on recent

observations.

The weight , 1.2 is applied to the observations four periods ago.

Exponential Smoothing:

Exponential smoothing is a type of forecasting method that generates a forecast as a weighted average of the observed value and forecasted value. The weight is determined by the value of the smoothing parameter.

The exponential smoothing formula could be written as follows:

sₜ = α × xₜ + (1−α)sₜ₋₁

sₜ--> smoothed stati, xₜ--> current observations

sₜ₋₁--> previous Smooth statistic

α--> the smoothing factor

Thus the higher the smoothing factor, the more weight is placed on recent observations, and less weight is placed on past observations.

The weight placed on observations t periods before is α x t

Applying the formula, given a smoothing parameter of 0.3, the weight placed on observations four periods before is:

0.3×4 = 1.2

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Answer:

The number of times a variable appears in a date set is called a constant.

Answer:

one jumbo cost $4 and one chocolate cost $2

Step-by-step explanation:

Let the price eif one jumbo be x

Let the price of one chocolate be y

If one jumbo and 2 chocolate cost$6, then

x+2y= 6 ... 1

If one jumbo and 4chocolate cost $8, then;

x +4y = 8... 2

Subtract both equations

2y -4y = 6-8

-2y= -2

y = 1

Substitute y = 1 into 1;

From 1, x+2y = 6

x +2(1) = 6

x = 6-2

x = 4

Hence one jumbo cost $4 and one chocolate cost $2

Answer:

B

Step-by-step explanation:

From supplementary angles, y = 180 - 52 - 59 = 69. From sum of angles in a triangle, x = 180 - 63 - 69 = 48.

Answer:

x = 48

Step-by-step explanation:

First find y

52+y+59 = 180 since they from a straight line

y = 180-59-52

y = 69

Then we know the angles of a triangle add to 180

x+y+63 = 180

x+69+63 = 180

x = 180-69-63

x =48

Answer:

Step-by-step explanation:

Hello,

John : n

Brad : n + 12

n + n + 12 = 84

2n + 12 = 84

2n = 84 - 12

2n = 72

n = 72/2

n = 36

John $36 and Brad $36 + $12 = $48

Answer:

jhon =36 brad=48

Step-by-step explanation:

B=J+12

J+B=84

12+J+J=84

2J=72

J=36

B=J+12=36+12=48