What is 0.¯47 expressed as a fraction in simplest form?

Answer:

8 centimeters

Step-by-step explanation:

If you're given the circumference of a circle the way to find its diamter is to divdie that circumference by pi (3.14)

25.12/3.14 = 8

Answer:

y = -3x -7

Step-by-step explanation:

Subtract 21 and it would be 3y - 9x -21 = 0

Then divide by three and simplify

So your answer would be y = -3x - 7

Question 1: MetaSpace is unlikely to succeed in a legal battle against Marcus Superberg under the Australian Consumer Law.

Question 2: Ingrid may be entitled to workers compensation as an employee of RoadRunners.

Question 1:

Issue: Can MetaSpace succeed in a legal battle against Marcus Superberg under the Australian Consumer Law?

Rule: Under the Australian Consumer Law, businesses are prohibited from engaging in misleading or deceptive conduct in trade or commerce. To establish a claim, MetaSpace needs to show that Marcus Superberg made false representations about the security and privacy of DeltaVerse, which misled or deceived the general public.

Application: Marcus Superberg claims that DeltaVerse complies with privacy and cybersecurity legislation worldwide, and personal data cannot be accessed, stolen, or sold. He further claims to have an unbreakable unique algorithm protecting user data. Will Bates, the founder of MetaSpace, argues that such claims are impossible and accuses Marcus Superberg of misleading the public.

To assess MetaSpace's likelihood of success, it is important to determine if MetaSpace falls within the scope of consumers under the Australian Consumer Law. While MetaSpace is a competitor, it is possible for businesses to be considered consumers if they acquire goods or services for personal, domestic, or household use. If MetaSpace can establish that it falls within the definition of a consumer, it may have standing to bring an action against Marcus Superberg.

Conclusion: Based on the information provided, it is unclear whether MetaSpace can succeed in a legal battle against Marcus Superberg under the Australian Consumer Law. MetaSpace's ability to establish its consumer status and prove that Marcus Superberg engaged in misleading or deceptive conduct would be crucial factors in determining the outcome.

Question 2:

Issue: Is Ingrid entitled to workers compensation?

Rule: The entitlement to workers compensation depends on the classification of Ingrid's working relationship with RoadRunners. If she is considered an employee, she may be eligible for workers compensation benefits. However, if she is classified as an independent contractor, she may not have the same entitlements.

Application: Ingrid works for RoadRunners as a delivery courier, using her bicycle to deliver packages. She receives a fixed rate for each delivery, works at her own discretion, and follows RoadRunners' guidelines. She also faces penalties for exceeding the 15-minute delivery guarantee. Ingrid has been injured while performing her delivery duties.

To determine Ingrid's employment status, it is necessary to consider various factors, including the level of control exercised by RoadRunners over Ingrid's work, the degree of independence she has, the provision of equipment, and the nature of the work relationship. The fact that Ingrid uses the RoadRunners application and follows their guidelines suggests a degree of control indicative of an employment relationship.

If Ingrid is found to be an employee, she may be entitled to workers compensation benefits, including medical expenses and income replacement during her recovery period. However, if she is classified as an independent contractor, she may need to seek compensation through other avenues, such as a personal injury claim.

Conclusion: Based on the information provided, Ingrid may be entitled to workers compensation if she is classified as an employee of RoadRunners. The determination of her employment status will depend on a thorough assessment of the specific circumstances of her working relationship with RoadRunners, considering factors such as control, independence, and the nature of her work. Ingrid should seek legal advice to fully evaluate her entitlement to workers compensation benefits.

for such more question on compensation

https://brainly.com/question/14591988

#SPJ8

Answer:

Step-by-step explanation:

U think i9 know the answer to this question kids it is b I’m pretty sure it’s B

The derivatives of f(x) and g(x) are f'(x) = e^x and g'(x) = 4x^3.  The functions f(x) = e^x and g(x) = x^4 are given. We can find the values of f and g at specific points and calculate their derivatives to gain further insight into their behavior.

For f(x) = e^x, the function represents exponential growth. The value of f(x) increases rapidly as x increases. For example, when x = 0, f(0) = e^0 = 1. As x increases, the value of f(x) grows exponentially. The derivative of f(x) is f'(x) = e^x, which means the rate of change of f(x) at any point is equal to its current value.

For g(x) = x^4, the function represents a power function with even exponent. The value of g(x) increases as x increases, but at a slower rate compared to f(x). For example, when x = 0, g(0) = 0^4 = 0. As x increases, the value of g(x) increases, but not as rapidly as f(x). The derivative of g(x) is g'(x) = 4x^3, which means the rate of change of g(x) at any point is given by 4 times the cube of x.

In summary, f(x) = e^x represents exponential growth, where the value increases rapidly as x increases. g(x) = x^4 represents a power function, where the value increases but at a slower rate compared to f(x). The derivatives of f(x) and g(x) are f'(x) = e^x and g'(x) = 4x^3, respectively, providing information about their rates of change at any given point.

Learn more about derivation here:

https://brainly.com/question/27986273

#SPJ11

Answer:

Option C

Step-by-step explanation:

you cancel the whole parentheses.

So you know, x+6 can't equal to 0.

that's why there is a choice that is all real numbers but not -6.

Answer:

A. All real numbers

Step-by-step explanation:

Given

On cross multiplying,

Answer:

A. x= 4/5

B. x=4/5

Step-by-step explanation:

1) My guess would be B because in both of them you subtract 2 just not at the same time, I hope this is correct

The solution to the given initial-value problem, expressed as an elementary function, is y(x) = 9 - 72x - 72x².

To solve the initial-value problem y'' − 2xy' + 8y = 0 with initial conditions y(0) = 9 and y'(0) = 0 using the power series method, we can assume a power series solution of the form y(x) = ∑(n=0 to ∞) aₙxⁿ. Differentiating twice, we obtain y'' = ∑(n=0 to ∞) aₙn(n-1)xⁿ⁻² and y' = ∑(n=0 to ∞) aₙnxⁿ⁻¹. Substituting these expressions into the given differential equation and equating coefficients of like powers of x, we can derive a recurrence relation to determine the coefficients aₙ.

In the first paragraph, the summary of the answer is as follows:

By substituting the power series solution y(x) = ∑(n=0 to ∞) aₙxⁿ into the differential equation and equating coefficients, we obtain a recurrence relation for the coefficients aₙ. Solving this recurrence relation, we can determine the values of the coefficients aₙ and express the solution y(x) as an elementary function.

In the second paragraph, the explanation of the answer is provided:

Substituting the power series solution into the differential equation, we have:

∑(n=0 to ∞) aₙn(n-1)xⁿ⁻² - 2x ∑(n=0 to ∞) aₙnxⁿ⁻¹ + 8 ∑(n=0 to ∞) aₙxⁿ = 0.

Expanding the series and re-indexing the terms, we obtain:

a₀(0(-1)x⁻² + 8x⁰) + a₁(1(0)x⁻¹ - 2x¹ + 8x¹) + a₂(2(1)x⁰ - 2(1)x² + 8x²) + ∑(n=3 to ∞) (aₙn(n-1)xⁿ⁻² - 2aₙnxⁿ⁻¹ + 8aₙxⁿ) = 0.

Simplifying, we have:

8a₀ + a₁ + (2a₂ - 2a₀)x + ∑(n=3 to ∞) [(aₙn(n-1) - 2aₙn + 8aₙ)xⁿ] = 0.

To satisfy this equation, each coefficient of xⁿ must be zero. Therefore, we obtain a recurrence relation for the coefficients:

8a₀ + a₁ = 0,

2a₂ - 2a₀ = 0,

aₙn(n-1) - 2aₙn + 8aₙ = 0 for n ≥ 3.

Using the initial conditions y(0) = 9 and y'(0) = 0, we can determine the values of a₀ and a₁ as 9 and -72, respectively. Solving the recurrence relation, we find that a₂ = -72 and aₙ = 0 for n ≥ 3.

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

y(x) = 9 - 72x - 72x².

Hence, the solution to the given initial-value problem, expressed as an elementary function, is y(x) = 9 - 72x - 72x².

Learn more about elementary function:

brainly.com/question/7846182

#SPJ11

The Reynolds number (Re) is a dimensionless number that indicates the relative importance of inertial forces to viscous forces in a fluid flow.

The Reynolds number is defined as Re = (ρ * V * L) / η, where ρ is the fluid density, V is the fluid velocity, L is a characteristic length, and η is the fluid viscosity.

The Reynolds number helps to determine the regime of fluid flow, whether it is laminar, transitional, or turbulent. When Re is small, viscous forces dominate and the flow is laminar. When Re is large, inertial forces dominate and the flow is turbulent.

When Re is intermediate, the flow is transitional. The value of Reynolds number depends on fluid properties such as viscosity, density and velocity, as well as the characteristic length of the system.

To know more about Reynolds number  click on below link:

https://brainly.com/question/12977616#

#SPJ11

Complete question:

define the reynolds number. discuss how the involved parameters affect re value.

Answer:Next  homework  Score should be  87.

Step-by-step explanation:

STEP 1

Listing the scores in ascending order ie from least to greatest gives

74, 82, 83, 85, 87, 88, 91,92, 96

STEP 2

we find the median--- The median score is the score  that is in the middle of the set of results when arranged from lowest to highest as we have done above , which give  us 87 as the median.

74, 82, 83, 85,   87,    88, 91,92, 96

Also Mode is the score with the highest frequency , ie the score which appears more than other numbers. For now we have no mode as all the numbers occurred once

Therefore in next exam, I should get a score of 87,  making my scores to become

74, 82, 83, 85, 87, 87, 88, 91,92, 96

Now my mode becomes 87 ( highest frequency of  occurrence ) and

My median becomes (87+ 87)/2 = 87  ( with the addition of a new score the total score become ten, which is now even, so we divide the addtion of the two middle numbers by 2 )

The number of rides is the dependent variable, while the total cost is the independent variable.

In mathematical modeling, statistical modeling, and experimental sciences, there are dependent and independent variables. Dependent variables get their name because, during an experiment, their values are investigated under the presumption or requirement that they are dependent on the values of other variables according to some law or rule.

The variable that the researcher modifies or manipulates in an experiment is known as the independent variable. The measured reaction is the dependent variable. The dependent variable is dependent on the change in the independent variable, to put it another way.

To know more about dependent variable,

https://brainly.com/question/12918742

#SPJ4

The thickness of the clay layer, which drains only from the upper surface, can be determined based on the consolidation settlement observations. With 50% of consolidation settlement occurring in 1 hour for a 25 mm thick specimen, and a total primary consolidation settlement of 35 mm occurring over many years, the thickness of the clay layer is approximately 87.5 mm.

The consolidation settlement of a clay specimen can be used to estimate the thickness of a clay layer that drains only from the upper surface. In this case, the observed settlement data provides valuable information.

Firstly, we know that 50% of the consolidation settlement occurs in 1 hour for a 25 mm thick clay specimen. This is an important parameter for calculating the coefficient of consolidation (Cv) using Terzaghi's theory. From the Cv value, we can estimate the time required for full consolidation settlement.

Secondly, we are given that the same clay settles 10 mm over 10 years and eventually settles a total of 35 mm over a longer period. This long-term settlement is known as the total primary consolidation settlement. By comparing this settlement value with the settlement data from the oedometer test, we can determine the thickness of the clay layer.

To calculate the thickness, we can use the concept of the consolidation settlement ratio. The ratio of the total primary consolidation settlement to the consolidation settlement at 50% completion is equal to the ratio of the total thickness to the thickness at 50% completion. Applying this ratio, we can determine that the thickness of the clay layer, which drains only from the upper surface, is approximately 87.5 mm.

To learn more about thickness click here: brainly.com/question/23622259

#SPJ11

The correct answer is option C, when the distribution of the data is approximately symmetric and bell-shaped.

According to the Empirical Rule, also referred to as the 68-95-99.7 Rule, for a normal distribution, roughly 68% of the data will lie within one standard deviation of the mean, 95% of the data will lie within two standard deviations of the mean, and 99.7% of the data will lie within three standard deviations of the mean.

Only when the distribution of the data is symmetric and bell-shaped does this rule hold.

The Empirical Rule cannot be used to estimate percentages if the data is skewed to the left or right.

The Empirical Rule can be used to predict the population from which the data were taken, making it a useful tool when examining data with a normal distribution.

It's crucial to remember that this rule is merely an estimation and may not be correct depending on whether the data follows a normal distribution.

Complete Question:

The empirical rule can be used to estimate some specific percentages _______.

Select one:

A. when the distribution of the data is skewed to the right.

B . when the distribution of the data is skewed to the left.

C. when the distribution of the data is approximately symmetric and bell-shaped.

D. when the distribution of the data has any shape.

To learn more about distribution visit:

https://brainly.com/question/27820465

#SPJ4

Type I error is formed when she concludes the town's unemployment rate is not 9% when it actually is, which is an option (a).

Given that:

A large nationwide poll recently showed an unemployment rate of 9% in the US.

The mayor of a local town wonders if this national result holds true for her town, so she plans on taking a sample of her residents to see if the unemployment rate is significantly different than 9% in her town.

Here the null hypothesis is taken as that the unemployment rate is 9%, whereas the alternative hypothesis is that it is not 9%.

Type I error is the error formed when the null hypothesis is rejected, but the hypothesis is actually true.

So, here the conclusion is that the unemployment rate is not 9%, but it actually is 9%.

Hence, the correct option is (a).

Learn more about Errors here :

https://brainly.com/question/34299120

#SPJ12

Claim: The Champagne Fairs played a significant role in the globalization of trade during the Middle Ages.

Globalization is a complex and multifaceted phenomenon that refers to the increasing interconnectedness of the world's economies, societies, and cultures. It is the process of integration and interaction among people, companies, and governments of different nations, driven by advances in technology, communication, transportation, and trade.

Evidence 1: The Champagne Fairs brought together merchants from all over Europe, including Italy, Spain, and Germany, to exchange goods and ideas. The fairs served as a hub for international trade and communication, which allowed for the exchange of products and technologies that had previously been limited to specific regions. (Page 75)

Evidence 2: The Champagne Fairs also facilitated the growth of long-distance trade routes, which increased the circulation of goods across Europe. This led to the spread of new products and innovations, such as textiles and banking practices, which contributed to the growth of urban centers and the development of a European economy. (Page 76)

Evidence 3: The Champagne Fairs influenced the development of international commercial law, which helped to standardize business practices and reduce risk for traders. The Fairs were known for their well-organized and fair trading practices, which helped to establish trust among merchants and encourage the growth of trade across borders. (Page 78)

Conclusion: The Champagne Fairs were a pivotal event in the globalization of trade during the Middle Ages, connecting merchants from across Europe and facilitating the exchange of goods, ideas, and innovations. Through the establishment of international trade routes, the development of commercial law, and the growth of urban centers, the Fairs contributed to the development of a European economy and helped to pave the way for future globalization efforts.

To know more about exchange visit:

https://brainly.com/question/2206977

#SPJ1

Answer:

C) y= 2/3x -2/3

Step-by-step explanation:

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

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

y+2= 2/3x + 4/3

y= 2/3x -2/3

Percentage for lakeside is 38%

Percentage for Jungle is 26%

Percentage for Desert is 18%

Percentage for Coast is 12%

Percentage for Prairie is 6%

To determine the percentage, divide the given value by the total number and multiply by 100

Total  = 24000

Percentage for lakeside = \(\frac{9120}{24000}\) × 100

% of lakeside = \(0. 38\) × 100 = 38%

Percentage for Jungle = \(\frac{6240}{24000}\) × 100

% of Jungle = \(0. 26\) × 100 = 26%

Percentage for Desert = \(\frac{4320}{24000}\) × 100

% of Desert = \(0. 18\) × 100 = 18%

Percentage for Coast = \(\frac{2880}{24000}\) × 100

% of coast = \(0. 12\) × 100 = 12%

Percentage for Prairie = \(\frac{1440}{24000}\) × 100

% of Prairie = \(0. 06\) × 100 = 6%

Learn more about percentage here:

https://brainly.com/question/843074

#SPJ1

The maximum number of adult-sized T-shirts she can purchase is 55 T-shirts.

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

Adult sized T shirts cost $6.25 each

and, youth sized T shirts cost $4.50 each.

Let x represent the number of adult-sized T-shirts.

Antionette has $550 to purchase both adult sized and youth sized T shirts.

So, the inequality can be

6.25x + 4.5(45) ≤ 550

6.25x + 202.5 ≤ 550

6.25x ≤ 347.5

x ≤ 55.6

Hence, the maximum number of adult-sized T-shirts she can purchase is 55 T-shirts.

Learn more about Inequality here:

brainly.com/question/25285332

#SPJ1

Therefore, the solution to the given recurrence relation is: a_n = (α + β(-2))(3 - 2)^n + (α - β(-2))(3 + 2)^n

To find the solution to the given linear homogeneous recurrence with constant coefficients, we need to find the roots of the characteristic equation and determine the form of the solution.

The given recurrence relation is:

a_n = 2a_{n-1} + 6a_{n-2}

We can rewrite this as:

a_n - 2a_{n-1} - 6a_{n-2} = 0

To find the characteristic equation, we assume a solution of the form:

a_n = r^n

Substituting this into the recurrence relation, we have:

r^n - 2r^{n-1} - 6r^{n-2} = 0

Dividing the equation by r^{n-2} (assuming r \neq 0), we get:

r^2 - 2r - 6 = 0

This is a quadratic equation, and we can solve it to find the roots r_1 and r_2:

(r - 3)(r + 2) = 0

r_1 = 3, r_2 = -2

Since the roots are distinct, the solution to the recurrence relation is of the form:

a_n = (α + βs)(r + s)^n + (α - βs)(r - s)^n

where α, β, r, and s are constants to be determined.

For the given problem, the values of r, s, α, and β are as follows:

r = 3

s = -2

α = α (we cannot determine its specific value without additional information)

β = β (we cannot determine its specific value without additional information)

Therefore, the solution to the given recurrence relation is:

a_n = (α + β(-2))(3 - 2)^n + (α - β(-2))(3 + 2)^n

a_n = (α - 2β)(3^n) + (α + 2β)(-2^n)

Note: Without further information or additional initial conditions, we cannot determine the specific values of α and β.

Learn more about recurrence relation here:

https://brainly.com/question/4082048

#SPJ11

Answer:

First number is x

Second number is y

Step-by-step explanation:

x = 2y + 1

x + y = 25

(2y + 1) + y = 25

3y = 24

y=24/3

y = 8

x = 2(8) + 1

x = 16+1

x=17

Hope this helps!!

To verify the inequality without evaluating the integrals, we can use the properties of integrals.

First, we know that the integral of a positive function gives the area under the curve. Therefore, the integral of √(1-x^2) from -1 to 1 gives the area of a semicircle with radius 1. This area is equal to π/2, which is approximately 1.57.
Next, we can use the fact that the integral of a function over an interval is less than or equal to the product of the length of the interval and the maximum value of the function on that interval. Since the function √(1-x^2) is decreasing on the interval [-1,1], its maximum value is at x=-1, which is √2/2.
Using this property, we have:
∫1 -1 √(1-x^2) dx ≤ (1-(-1)) * √2/2 = √2
Finally, we can use a similar argument to show that the integral is greater than or equal to 2. Therefore, we have:
2 ≤ ∫1 -1 √(1-x^2) dx ≤ √2
To verify the inequality 2 ≤ ∫(1, -1) √(1 - x^2) dx ≤ 2√2 using properties of integrals, let's first establish that the integrand is non-negative on the interval [-1, 1]. Since 0 ≤ x^2 ≤ 1, we have 0 ≤ 1 - x^2 ≤ 1, so √(1 - x^2) is non-negative.
Now, consider the areas of two squares: one with side length 2 and the other with side length √2. The area of the first square is 2² = 4, and the area of the second square is (√2)² = 2. Since the integrand lies between 0 and 1, the area under the curve is less than the area of the first square but more than half of it (as it resembles half of the first square).
Therefore, 2 ≤ ∫(1, -1) √(1 - x^2) dx ≤ 2√2, as the area under the curve is between half of the first square's area and the second square's area.

To know more about integrals visit:

https://brainly.com/question/31744185

#SPJ11

it A

Step-by-step explanation:

Answer:

3%

Step-by-step explanation:

it seems there are 9 options that are more than $500, out of 25

there are 2 options for bankruptcy

9/25 x 2/25 = 18/625 = .0288 which rounds to 3%

A polynomial is a mathematical expression consisting of variables, coefficients, and exponents, we can be multiply two polynomials step by step.

Distribute each term of the first polynomial to every term of the second polynomial.

Combine like terms by adding the coefficients of the terms that have the same variables raised to the same powers.

Simplify the result by arranging the terms in descending order of the exponent of the variable.

For example, let's say you want to multiply (2x + 3) and (x - 4):

(2x + 3) * (x - 4) = 2x * x - 2x * 4 + 3 * x - 3 * 4

Simplify the terms: 2x^2 - 8x + 3x - 12

Combine like terms: 2x^2 - 5x - 12

Therefore, the product of (2x + 3) and (x - 4) is 2x^2 - 5x - 12.

To know more about Polynomial:

https://brainly.com/question/17419800

#SPJ4

Answer:

a=-10/9

Step-by-step explanation:

vertex=(0,10)  (h,k)

y=a^2x+bx+c

y=c=10 when x=0

the x intercepts are (0,3) and (0,-3)

y=a (x-h)^2+k

y=a(x-0)+10

y=ax^2+10

find a  at point (3,0)

y=a(3)^2+10

0=9a+10

9a=-10

a=-10/9

y=-10/9 x^2+10

check with points(-3,0)

0=-10(-3)^2/9+10

0=-90+90=0 correct

Answer:

D

Step-by-step explanation:

(-32÷4)^2 -9 + (-7)

=(8)^2 -9 + (-7)

Answer:

135.55

Step-by-step explanation:

Answer:

0.737 rounded to nearest hundredth =

0.74

0.737 rounded to nearest tenth =

0.7

The number before any decimal place below 5 will stay the same.

Answer:

Nearest hundreth 0.74

Nearest tenth 0.7

Step-by-step explanation:

If the number to the right of the place value is larger, then that number will go up by 1. If the number is lower, then the place value will stay the same, and the entier number will be shortened.

So 0.737 to the nearest hundreth becomes 0.74

And 0.737 to the nearest tenth becomes 0.7

The volume using washers is:

V = ∫\([24, 0] \pi (24^2 - x^2) dx.\)

The volume using shells is:

V = ∫\([0, \sqrt{24} ] 2\pi x(24 - x^2) dx.\)

To find the volume of the solid obtained by rotating the region bounded by y = 24, \(y = x^2\), and x = 0 about the y-axis, we can use both the washer method and the shell method.

Volume using washers:

In the washer method, we consider an infinitesimally thin vertical strip of thickness Δy and width x. The volume of each washer is given by the formula:

\(dV = \pi (R^2 - r^2)dy,\)

where R is the outer radius of the washer and r is the inner radius of the washer.

To find the volume using washers, we integrate the formula over the range of y-values that define the region. In this case, the y-values range from \(y = x^2\) to y = 24.

The outer radius R is given by R = 24, which is the distance from the y-axis to the line y = 24.

The inner radius r is given by r = x, which is the distance from the y-axis to the parabola \(y = x^2\).

Therefore, the volume using washers is:

V = ∫\([24, 0] \pi (24^2 - x^2) dx.\)

Volume using shells:

In the shell method, we consider an infinitesimally thin vertical strip of height Δx and radius x. The volume of each shell is given by the formula:

dV = 2πrhΔx,

where r is the radius of the shell and h is the height of the shell.

To find the volume using shells, we integrate the formula over the range of x-values that define the region. In this case, the x-values range from x = 0 to \(x = \sqrt{24}\), since the parabola \(y = x^2\) intersects the line y = 24 at \(x = \sqrt{24}\)

The radius r is given by r = x, which is the distance from the y-axis to the curve \(y = x^2.\)

The height h is given by \(h = 24 - x^2\), which is the distance from the line y = 24 to the curve \(y = x^2\).

Therefore, the volume using shells is:

V = ∫\([0, √24] 2\pi x(24 - x^2) dx.\)

Learn more about radius here:

https://brainly.com/question/11137975

#SPJ11