The landscape designer has drawn an angle on one side of the yard and wants to draw the same angle on the other side. Describe three different ways he can do this.

The partial fraction decomposition of X₁(s) is (A / (s - r₁)) + (B / (s - r₂)) + (C / (s - r₃)).

To express the fraction X₁(s) = (s² + 4s + 3s) / (s³ + 5s² + 2s + 8) in partial fraction form, we need to decompose the rational function into simpler fractions. The general form of a partial fraction decomposition is:

X₁(s) = (A / (s - r₁)) + (B / (s - r₂)) + (C / (s - r₃))

where A, B, and C are constants, and r₁, r₂, and r₃ are the roots of the denominator polynomial.

To find the roots of the denominator, we set the denominator equal to zero and solve for s:

s³ + 5s² + 2s + 8 = 0

The roots of this cubic polynomial can be found using numerical methods or factoring techniques. Let's assume the roots are r₁, r₂, and r₃.

Then, we can express X₁(s) in partial fraction form as:

X₁(s) = (A / (s - r₁)) + (B / (s - r₂)) + (C / (s - r₃))

where A, B, and C are the constants we need to determine.

To find the values of A, B, and C, we can multiply both sides of the equation by the denominator (s³ + 5s² + 2s + 8) and simplify. This will give us a system of equations that we can solve to find the values of A, B, and C.

(s³ + 5s² + 2s + 8) * X₁(s) = A + B(s - r₁) + C(s - r₂)(s - r₃)

Expanding the left side and comparing coefficients, we get:

s² + 4s + 3s = A + (B + C) * s² + (-B * (r₁ + r₂ + r₃) + C * (r₁r₂ + r₁r₃ + r₂r₃)) * s + B * r₁r₂ + C * r₁r₃ * r₂r₃

By comparing the coefficients of the powers of s on both sides, we obtain a system of equations. Solving this system will give us the values of A, B, and C.

Once we have the values of A, B, and C, we can substitute them back into the partial fraction expression:

X₁(s) = (A / (s - r₁)) + (B / (s - r₂)) + (C / (s - r₃))

This completes the partial fraction decomposition of X₁(s).

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Answer:

24 cm

Step-by-step explanation:

(4+4) + (8+8)

Answer:

look at the screenshot

Step-by-step explanation:

MRK ME BRAINLIEST PLZZZZZZZ

Using the value of ∫01x3+1dx obtained above, we can approximate the value of∫0.50x3+1dx as:Simpson's Rule ∫abf(x)dx≈b−a3n[f(a)+2∑i=12n−1f(ai)+4∑i=14n−1f(xi)+f(b)]≈15[0+2{(13)3+1}+4{(14)3+1}+13+3]≈0.7828Therefore, the solution to part b at x=0.5 to three decimal places is approximately equal to 0.7828.

The solution to part b at x

=0.5 to three decimal places using Simpson's Rule with n

=4 is given as follows:Approximate the value of∫01x3+1dx, with Simpson's Rule using n

=4 subintervals.Simpson's Rule formula for integrating a function, f(x), with n subintervals is given as:Simpson's Rule ∫abf(x)dx≈b−a3n[f(a)+2∑i

=12n−1f(ai)+4∑i

=14n−1f(xi)+f(b)]where h

=(b−a)n and xi

=a+ih for i

=1,2,3,...,n.Substituting a

=0, b=1, f(x)

=x3+1, and n

=4 in Simpson's Rule formula:∫01x3+1dx≈14[0+2{(13)3+1+(23)3+1}+4{(14)3+1+(34)3+1}+13+3]≈1.1354The value of ∫01x3+1dx is approximately equal to 1.1354, using Simpson's Rule with n

=4 subintervals. We want to approximate the solution to part b at x

=0.5 to three decimal places. Using the value of ∫01x3+1dx obtained above, we can approximate the value of∫0.50x3+1dx as:Simpson's Rule ∫abf(x)dx≈b−a3n[f(a)+2∑i

=12n−1f(ai)+4∑i

=14n−1f(xi)+f(b)]≈15[0+2{(13)3+1}+4{(14)3+1}+13+3]≈0.7828Therefore, the solution to part b at x

=0.5 to three decimal places is approximately equal to 0.7828.

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Answer:

A = 2

Step-by-step explanation:

If A = 4 when B = 88, we can divide both A and B by 2 to find their values.

88/2 = 44

4/2= 2

We can also check this by dividing 88 by 4 to figure out that A = 1 when B = 22

We can then multiply both the values of A and B to get a proportional relationship of A = 2, B = 44

(sorry if this is confusing but I hope it helped)

Answer:

the right is the answer :>

Step-by-step explanation:

The total number of boxes required to cover the kitchen floor is 14.

The dimensions of the kitchen floor are 14' × 24'

⇒Length of the kitchen floor = 14 feet

⇒Width of the kitchen floor= 24 feet

The area of the kitchen floor= Length × Width

⇒ Area = 14 × 24

⇒ Area = 336 sq. ft.

Since, 4 boxes of flooring cover 100 sq. ft.

∴1 box will cover = 100/4 sq. ft.

⇒25 sq. ft.

Now, Number of boxes required to cover the floor of the kitchen will be,

⇒ Area of the floor / Area covered by 1 box of flooring

⇒336/25

⇒ 13.44

∴ The total number of boxes required to cover the kitchen floor is 14 (rounded up from 13.44).

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Answer: 0.167

Step-by-step explanation:

Given: Total batteries = 10

Batteries that are still working = 6

Number of ways to pick 3 working batteries = \(^6C_3=\dfrac{6!}{3!3!}\)

\(=\dfrac{6\times5\times4\times3!}{6\times3!}\\\\=20\)

Number of ways of pick 3 batteries out of 10 =

\(^{10}C_3=\dfrac{10!}{3!7!}=\dfrac{10\times9\times8\times7!}{6\times7!}\\\\=120\)

Required probability = \(\dfrac{20}{120}=0.167\)

Hence, the probability that all of the first 3 she chooses will work = 0.167

Answer: There are 7.67 calories / 12 grams = 0.639 cashews in 1 gram of cashews.

Step-by-step explanation: To find the number of calories in 1 gram of cashews, we divide the total number of calories in 28 grams by 28: 161 calories / 28 grams = 5.75 calories/gram.

Since 12 grams contains 5.75 x 12 = <<12*5.75=69>>69 calories, each cashew contains 69 calories / 9 cashews = <<69/9=7.67>>7.67 calories.

Dividing by the weight of each cashew, we find that there are 7.67 calories / 12 grams = 0.639 cashews in 1 gram of cashews.

Answer:

0.23

Step-by-step explanation:

If there are 161 calories in 28 grams of dry roasted cashews, that means that one gram of cashews contains 161/28 = 5.75 calories.

If you ate 9 cashews totaling 12 grams, that means you consumed 12/9 = 1.33 grams per cashew.

Therefore, there are 1.33/5.75 = 0.23 cashews in one gram.

In 1940, John Atanasoff, a physicist from Iowa State University, wanted to solve a 29 x 29 linear system of equations. To solve this system using Gaussian elimination, it would have required approximately 29^3/3 = 24389 arithmetic operations.

In 1940, John Atanasoff developed the Atanasoff-Berry Computer (ABC), which was the first electronic computer. Atanasoff wanted to use the ABC to solve a 29 x 29 linear system of equations.

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Answer:

well you answered the question in your question: you have Area = 136 square units. How you got it, you need to be more specific. Maybe it's because the side lengths are 2 * 68 for example. If anything provide more info. tried to help the best I can

Step-by-step explanation:

1) The solution to the initial-value problem is y(t) = 2 cos(4t) - (1/2) sin(4t).

2) The solution to the initial-value problem is y(t) = 0.

Let's solve the initial-value problems given.

Initial-Value Problem: y'' + 16y = 0, y(0) = 2, y'(0) = -2

We have a second-order linear homogeneous differential equation. To solve this, we assume a solution of the form y(t) = \(e^{rt\), where r is a constant to be determined.

Substituting this assumed solution into the differential equation, we get the characteristic equation:

\(r^2\) + 16 = 0

Solving the characteristic equation for r, we have:

r = ±4i

Since the roots are complex (r = 4i and r = -4i), the general solution will involve complex exponentials.

The general solution for the differential equation is:

y(t) = \(c_1\) cos(4t) + \(c_2\) sin(4t)

To find the particular solution that satisfies the initial conditions, we substitute the initial conditions y(0) = 2 and y'(0) = -2 into the general solution:

y(0) = \(c_1\) cos(0) + \(c_2\) sin(0) = \(c_1\) = 2

y'(0) = -4\(c_1\) sin(0) + 4\(c_2\) cos(0) = 4\(c_2\) = -2

Solving these equations, we find \(c_1\) = 2 and \(c_2\) = -1/2.

Therefore, the solution to the initial-value problem is:

y(t) = 2 cos(4t) - (1/2) sin(4t)

2) Initial-Value Problem: y'' + y' + 2y = 0, y(0) = y'(0) = 0

We have a second-order linear homogeneous differential equation. To solve this, we assume a solution of the form y(t) = \(e^{rt\), where r is a constant to be determined.

Substituting this assumed solution into the differential equation, we get the characteristic equation:

\(r^2\) + r + 2 = 0

Solving the characteristic equation for r, we have:

r = (-1 ± √(1 - 4(1)(2)))/2

= (-1 ± √(-7))/2

= (-1 ± i√7)/2

Since the roots are complex, the general solution will involve complex exponentials.

The general solution for the differential equation is:

y(t) = \(c_1\) \(e^{-t/2\) cos((√7/2)t) + \(c_2\) \(e^{-t/2\) sin((√7/2)t)

To find the particular solution that satisfies the initial conditions, we substitute the initial conditions y(0) = 0 and y'(0) = 0 into the general solution:

y(0) = \(c_1\) = 0

y'(0) = -(1/2)\(c_1\) + (√7/2)\(c_2\) = 0

Solving this equation, we find \(c_1\) = 0 and \(c_2\) = 0.

Therefore, the solution to the initial-value problem is:

y(t) = 0

In this case, the zero solution satisfies the initial conditions.

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The better buy is given by the following brand:

Brand A.

The better buy is obtained applying the proportions in the context of the problem.

A proportion is applied as the cost per ounce is given dividing the total cost by the number of ounces.

Then the better buy is given by the option with the lowest cost per ounce.

The cost per ounce for each brand is given as follows:

$8 per ounce is a lesser cost than $9.3 per ounce, hence the better buy is given by Brand A.

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Answer:

\(-7\dfrac12\)

Step by step explanation:

\(-7.5=-\dfrac{75}{10}=-\dfrac{15}2=-7\dfrac{1}2\)

Drawing a number line is a useful way to visualize the relationship between tons and pounds and can help make conversions easier to understand.

If we were to draw a number line that shows the relationship between tons and pounds, we would start with the fact that one ton is equivalent to 2000 pounds. We would then draw tick marks on the number line for every whole number from 0 to 10, with each tick mark representing 100 pounds. So, the tick mark at 0 would represent 0 pounds, the tick mark at 1 would represent 100 pounds, the tick mark at 2 would represent 200 pounds, and so on. The tick mark at 20 would represent 2000 pounds, or one ton.

We could then continue the number line past 20 to show larger quantities of tons and pounds, with each additional tick mark representing another ton (2000 pounds). For example, the tick mark at 30 would represent 3000 pounds, or 1.5 tons, the tick mark at 40 would represent 4000 pounds, or 2 tons, and so on.

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The shaded area should be adjusted to reflect the new producer surplus for Micronesian firms, which will be larger than it was before trade due to higher price they can receive by exporting their timber to world market.

The measure of the size of a two-dimensional surface or shape is area. It is typically measured in square units, such as square meters or square feet, and represents the amount of space that is enclosed by the shape or surface.

To shift the world price line in a way that results in Micronesia exporting timber, we need to assume that the world price of timber is higher than the domestic price in Micronesia before trade. This would create an incentive for Micronesian firms to sell their timber on the world market, where they can receive a higher price.

Shift the world price line upward to a point where it intersects with Micronesia's supply curve.

This will create a new equilibrium point where the quantity of timber supplied by Micronesia equals the quantity demanded by the world market.

To adjust the shaded area to correctly represent producer surplus for Micronesia's firms once the country is open to international trade, we need to consider the changes in producer surplus resulting from the new equilibrium price.

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Therefore , the solution of the given problem of equation comes out to be  x = 0.34 and x = 3.66.

For one-variable equations, regression modeling employs the polynomial solution x = ax2 + b + c=0. According to the First premise of Algebra, there's can only be a single solution because this premise has a second order. Both straightforward and intricate solutions are accessible. An "non-linear formula" encounters four variables, as the name implies. This suggests that there might be a single squared word.

Here,

a. If I had to hazard an estimate as to this quadratic's equation, I'd say:

=>  y = -2x² + 8x + 5

b. Because the graph is a downward-facing parabola, I believe this equation fits the graph.

c. We must multiply the equation in order to organize the quadratic in standard form:

=>  y = -2x² + 8x + 5

=>  y = -2(x² - 4x - 2.5) (factor out the leading coefficient)

=>  y = -2(x - 2)² + 9 (complete the square and simplify)

In standard form, the quadratic is now written as

=>   y = -2(x - 2)2 + 9.

=>  b² - 4ac = (8)² - 4(-2)(5) = 64 + 40 = 104

d. Applying the quadratic formula to the equation:

=>  a = -2, b = 8, c = 5

=>  x = √(b² - 4ac) - (-b) / 2a

=>  x = (-8 +/- √(104)) / -4

=> x = (2 + √(26))/2

The answers are thus x = 0.34 and x = 3.66.

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PLEASE GIVE ME BRAINLIEST!

I hope this helps.  thank you and have a good day ;)

Answer:

{6,341}

Step-by-step explanation:

{-3,453+5,748} is the same as 5,748 - 3,453, which is equal to 2,295.{8,9703-12,749} is the same as 8,703 - 12,749, which is equal to -4,046.

{2,295} - {-4,046} = {6,341}

The probability of selecting blue marble and green marble is 1/13.

A probability is a number that reflects the chance or likelihood that a particular event will occur. The certainty of an event is 1 which is equivalent to 100%.

Probability = sample space/total outcome

total outcome = 13

The probability of picking blue in the first pick = 6/13

since there is no replacement, the total outcome for the second pick = 12

The probability of picking green in the second pick = 2/12 = 1/6

Therefore the probability of selecting blue and green marble = 6/13 × 1/6

= 1/13

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Answer:

36 in.

Step-by-step explanation:

Step 1:

Area = Length × Width   Equation

Step 2:

6 × 6  Multiply

Answer:

36 inches

Hope This Helps :)

The chance to not hit the target is 65 percentage. This means that there is a 65% chance that the hunter will miss the target.

The percentage of a hunter to hit a target is .35, which means that there is a 35% chance that the hunter will hit the target. This leaves a 65% chance that the hunter will miss the target. This means that there is a 65% chance that the hunter will not hit the target. This percentage is determined by the accuracy of the hunter, the size of the target, and any other external factors that may affect the accuracy of the hunter's shot. Accuracy is determined by the hunter's skill, experience, and the quality of the equipment used. The size of the target is also a factor, as it can be harder to hit a smaller target. Additionally, any environmental factors present, such as wind or rain, can cause the shot to go astray. All of these factors combine to determine the chance that the hunter will have to make or miss the target.

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The histograms demonstrate that as sample size increases, the distribution of sample means becomes more normal, which is in line with the central limit theorem.

Histograms can be used to graphically represent a probability distribution, which is a measure of how likely it is that a random variable will take on a particular value.

The central limit theorem states that as the sample size increases, the sampling distribution of the mean approaches a normal distribution, regardless of the shape of the population distribution.

The histograms demonstrate this by showing the distribution of sample means for different sample sizes. As the sample size increases, the shape of the histogram becomes more normal, with a narrower and taller distribution.

Therefore, this demonstrates that the central limit theorem holds true, as the distribution of sample means becomes more normal as sample size increases, regardless of the shape of the population distribution.

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Answer:

C: 9

Step-by-step explanation:

3^4/3^2

3*3*3*3/3*3 cancel out 2 threes from the bottom and top.

3*3=9

Answer:

First clear your question please.

Step-by-step explanation:

Answer:

-59 im pretty sure

Answer:

Jay is 18

Step-by-step explanation:

Because if Nadia is 6 and Jay is 3 times her age, then he would be 18.

Also, you add 10 to both of their ages, there is an age gap of 12 years.

The answer is A. The normal distribution in its standardized form has a mean of 0 and a standard deviation of 1. This means that the distribution is centered around 0, and the spread of the data is determined by the standard deviation of 1. This is useful in statistical analysis because it allows us to compare data from different distributions on a standardized scale.

The normal distribution is a continuous probability distribution that is often used in statistical analysis. It is characterized by a bell-shaped curve and is symmetrical around its mean. In its standardized form, the normal distribution has been transformed to have a mean of 0 and a standard deviation of 1. This transformation is achieved by subtracting the mean of the distribution from each data point and dividing by the standard deviation. This standardization allows us to compare data from different normal distributions on a standardized scale.

The normal distribution has many properties that make it useful in statistical analysis. It is often used as a model for many real-world phenomena, such as the distribution of human height, IQ scores, and many others. The normal distribution is also useful because it is well understood and has many mathematical properties that make it easy to work with.

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Answer: b) write an equation that you can use to get the amount of the tip. t= __ ($__)

Step-by-step explanation: You want to leave a 20% tip on a meal that cost $45.

First, convert the 20% to an actual number that can be used in a calculation. For percents,this is always done by simply dividing the percent (in this case 20%) by 100%.So, the conversational term "20%" becomes 20% / 100% = 0.20 in terms of a real mathematical number.

Second, you need to find out what 20% of your $45 meal cost is.This is always done by multiplying 0.20 by $45.00, or

0.20 x $45.00=$9.00.

So, the amount of tip you are going to leave is $9.00.

This makes the total cost of your meal (to write on your charge)

$45.00 + $9.00 = $54.00.

I hope this helps <3

Answer:

a) $9

b) t = 20 × ($45) ÷ 100

c) $54

Step-by-step explanation:

So,

a) How much of a tip will they leave?

➵ (45 × 20) ÷ 100

➵ (900) ÷ 100

➵ $9

b) Write an equation that you can use to get the amount of the tip.

➵ t = 20 × ($45) ÷ 100

c) Ricardo's family paid $__ for dinner.

➵ Their total bill is $45 and the 20% tip

➵ $45 + $9

➵ $54