What percentage of those who were married were obese?
a. 25.6%(331/1293)
b. 44.4% (147/331)
c. 32.8%(424/1293)
d. 34.7% (147/424)

The inequality is 10j is less than or equal to 130

10j ≤ 130

(a)the body temperature of the 1601 lb man will increase by approximately 3.0 °C.(b)the body temperature of the 160 lb man will increase by approximately 2.4 °C.

The specific heat of a human is given as 3.47 J/°C. Using this information, we can calculate the increase in body temperature when a certain number of calories are converted into heat energy. In the first scenario, a 1601 lb man consumes a candy bar containing 287 Cal. In the second scenario, a 160 lb man consumes a roll of candy containing 41.9 Cal. We will calculate the increase in body temperature for each case.

(a) To calculate the increase in body temperature for a 1601 lb man who consumes a candy bar containing 287 Cal, we need to convert calories to joules. Since 1 Calorie (Cal) is equal to 4184 joules, we have:
Energy = 287 Cal × 4184 J/Cal = 1.2 × \(10^6\) J
Now, using the specific heat formula Q = mcΔT, where Q is the energy, m is the mass, c is the specific heat, and ΔT is the change in temperature, we can rearrange the formula to solve for ΔT:
ΔT = Q / (mc)
Assuming the mass of the man is converted to kilograms, we have:
ΔT = (1.2 × \(10^6\) J) / (1601 lb × 0.4536 kg/lb × 3.47 J/°C) ≈ 3.0 °C
Therefore, the body temperature of the 1601 lb man will increase by approximately 3.0 °C.
(b) For a 160 lb man who consumes a roll of candy containing 41.9 Cal, we repeat the same calculation:
Energy = 41.9 Cal × 4184 J/Cal = 1.75 × \(10^5\) J
ΔT = (1.75 × \(10^5\) J) / (160 lb × 0.4536 kg/lb × 3.47 J/°C) ≈ 2.4 °C
Thus, the body temperature of the 160 lb man will increase by approximately 2.4 °C.

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Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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Answer:

1/2

Step-by-step explanation:

Answer:

The equation:

6x + 2 = 20

The answer:

x = 3

Step-by-step explanation:

8x-7+3x-11=180

11x-18=180

x=18

2y+23=4y+8

2y=15y=15/2

4y+8=3z²-5

y=15/2=> 30+8=3z²-5

43=3z²

z=±√(43/3)

Answer:

9 sides

Step-by-step explanation:

Formula for finding interior angles of all polygons : 180 ( n - 2) / n = A

(n being the amount of sides it has)

This information is important so you can plug in the numbers that you already know

We know that the interior angle measures to 140 degrees

180 (n - 2) / n = 140

multiply both sides by "n"

(n - 2) x 180 = 140n

Distribute 180 to what's inside the parenthesis

180n - 360 = 140n

Subtract 140n and add 360 to each side (which just moves 360 to the other side of the "="

40n = 360

Divide 40 by both sides

n = 9

hope this helps :)

The power series representation of f(x) =x²/(x⁴ + 16) is given by:

f(x) = (1/4i) × ∑[(-1)ⁿ ×(x²/4i)ⁿ  + (-x²/4i)ⁿ ] and the interval of convergence for this series is -2 < x < 2.

To find the power series representation of the function f(x) = x²/(x⁴ + 16), we can start by decomposing the denominator as a difference of squares:

x⁴ + 16 = (x²)² + 4²= (x² + 4i)(x²- 4i),

where i is the imaginary unit.

Next, we can rewrite the function f(x) as a partial fraction:

f(x) = x²/[(x² + 4i)(x² - 4i)].

We can express the function f(x) as a sum of two fractions:

f(x) = A/(x² + 4i) + B/(x² - 4i),

where A and B are constants to be determined.

To find the values of A and B, we can multiply both sides of the equation by (x² + 4i)(x² - 4i) and then simplify:

x²= A(x² - 4i) + B(x² + 4i).

Expanding the right side, we get:

x² = (A + B)x² + (4B - 4Ai).

From this equation, we can equate the coefficients of the like terms:

1 = A + B,

0 = 4B - 4Ai.

Solving these equations simultaneously, we find A = 1/8 and B = 7/8.

Now, we can rewrite the function f(x) as:

f(x) = (1/8)/(x² + 4i) + (7/8)/(x² - 4i).

Next, we can expand each term using the geometric series:

1/(x² + 4i) = 1/(4i) × 1/(1 - (-x²/4i)) = (1/4i) × ∑((-x²/4i)ⁿ),

and

1/(x² - 4i) = 1/(-4i)×1/(1 - (x²/4i)) = (-1/4i) × ∑((x²/4i)ⁿ).

Substituting these series expansions into f(x), we get:

f(x) = (1/4i) × ∑((-x²/4i)ⁿ) + (-1/4i) × ∑((x²/4i)ⁿ).

f(x) = (1/4i) × ∑((-1)ⁿ × (x²/4i)ⁿ) + (-1/4i) × ∑((x²/4i)ⁿ).

Now, we can combine the two series into one and simplify the expression:

f(x) = (1/4i) × ∑[(-1)ⁿ ×(x²/4i)ⁿ  + (-x²/4i)ⁿ ].

To find the interval of convergence, we need to consider the convergence of each term separately.

Let's examine the absolute value of the common ratio, r, for each term:

|r| = |x²/(4i)| = |x²|/|4i| = |x²|/4.

For convergence, we require |r| < 1:

|x²|/4 < 1.

Simplifying this inequality, we find:

|x²| < 4.

Taking the square root of both sides:

-2 < x < 2.

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E(S) = N * μ = μ * E(N). Therefore, the expected value of the sum S is μ times the expected value of N, where μ represents the mean of Xi.

The expected value of the sum S, where S = X1 + X2 + ... + XN, can be determined by utilizing the properties of conditional expectation.

Given that Xi are identically distributed random variables with mean μ and N is a random variable independent of Xi, the expected value E(S) can be calculated as the product of the expected value of Xi and the expected value of N, which results in E(S) = μ * E(N).

Since Xi are identically distributed random variables with mean μ, the expected value of each Xi is μ. Now, let's consider the expected value of N, denoted as E(N). E(N) represents the average value or expected number of terms in the sum S.

To calculate E(N), we need to consider the distribution of N. Given that N takes values in the non-negative integers and is independent of Xi, we can use the properties of conditional expectation to find E(N).

Conditioning on N, we can write S as a sum of N terms: S = X1 + X2 + ... + XN. Taking the expectation on both sides, we have E(S) = E(X1 + X2 + ... + XN). Since Xi are identically distributed, we can rewrite it as E(S) = N * E(X1).

Thus, E(S) = N * μ = μ * E(N). Therefore, the expected value of the sum S is μ times the expected value of N, where μ represents the mean of Xi.

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Answer:

Step-by-step explanation:

5) 121/11 = 11 meals / day

6) 50/10 = 5 min/call

7) 91/7 = 13 books / week

8) 1275 ants/5 ant holes = 255 ants / ant hole

Maximizing the sum or mean difference between the residuals squared, do not accurately describe the goal of the least squares regression line.

The least squares regression line minimizes the sum of the residuals squared. This means that it aims to minimize the difference between the observed values and the predicted values squared.

This is done by finding the line that has the smallest overall distance from the data points.

The other options, such as maximizing the sum or mean difference between the residuals squared, do not accurately describe the goal of the least squares regression line.

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The least squares regression line minimizes the sum of the residuals squared.

In regression analysis, the least squares regression line is a line that best fits a set of data points by minimizing the sum of the squared differences between the observed values and the predicted values.

The residuals are the differences between the observed values and the predicted values, and squaring them ensures that negative and positive differences are both considered.

By minimizing the sum of the squared residuals, the least squares regression line finds the line that is closest to all the data points.

For example, let's say we have a dataset of 10 data points.

The least squares regression line is determined by finding the line that minimizes the sum of the squared differences between the observed values and the predicted values for each data point.

This means that the line is positioned in a way that it is as close as possible to all the data points, minimizing the overall error.

By minimizing the sum of the residuals squared, the least squares regression line provides the best fit to the data and can be used to make predictions or analyze relationships between variables.

It is widely used in various fields, including statistics, economics, and social sciences.

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The objective of this research is to collect data on a specific component of the off-campus student population.The amount of time they spend travelling to courses each week.

a) The population for this study is all off-campus students at this college, and the sample is a random sample of 45 off-campus students who are polled. The sample is chosen at random to be representative of the entire population.

b) The data being gathered is the amount of time the surveyed students spend each week travelling to school. Because it reflects a numerical measurement, this is quantitative data. This information will be used to calculate the average commuting time for off-campus students and to identify any possible concerns or areas for improvement in commuting.

c) This is a descriptive research, since it seeks to characterise and summarise the features of the off-campus student population in terms of commuting time. The study's purpose is to better understand off-campus students' commuting patterns and gather ideas into how to enhance their commuting experience.

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Hello!

A°)

3x + 2y = 6

3x = 6 - 2y

x = 2 - 2/3y

5x - 2y = 26

5(2 - 2/3y) - 2y = 26

10 - 10/3y - 2y = 26

-10/3y - 6/3y = 26 - 10

-16/3y = 16

-16y = 48

y = 48/-16

y = -3

3x + 2y = 6

3x + 2*(-3) = 6

3x - 6 = 6

3x = 12

x = 12/3

x = 4

B°)

12x + 3y = 3

4x + y = 1

y = 1 - 4x

12x + 3(1 - 4x) = 3

12x + 3 - 12 = 3

12x - 9 = 3

12x = 12

x = 12/12

x = 1

12*1 + 3y = 3

12 + 3y = 3

3y = 3 - 12

3y = -9

y = -9/3

y = -3

Answer:

Each area is equal to half the area of ABCD

Step-by-step explanation:

AX ≅ CY    

In parallelogram, opposite sides are equal.

AB = CD

AX + XB = CY + YD

 CY + XB = CY + YD

          XB = CY + YD - CY

XB  = CY

Both trapezoids have equal area

Area of AXYD + area of BXYC =  area of ABCD        

Answer:

A. )  Each area to equal to half of the area of ABCD

Step-by-step explanation:

Edge 2021

The corresponding parts are:

The statement is given as:

△ABC was transformed using two rigid transformations.

The rigid transformations imply that:

The images of the triangle after the transformation would be equal

So, the corresponding parts are:

The results are true because rigid transformations do not change the side lengths and the angle measures of a shape

To do this, we simply make use any of the following congruent theorems:

The classmate's claim is that

Only two pairs of corresponding parts are enough to prove the congruent triangle

The above is true because of the following congruent theorems:

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Answer:

Step-by-step explanation:

Answer:

Mira con el gran boludin que me vengo a encontrar ahora, ya me pasaron 3 iguales a vos y a todos les rspondi y entendieron que al menos tienen que usar el 80% de su cerebro para resolver un problema que te lo resuelve un nene con sindrome de asperger en 7 segundos, así queres que te expliquemos algo nene desnutrido

\(\huge\purple{Hi!}\)

Except for 2 and 5, all prime numbers end in the digit 1, 3, 7 or 9.

Artificial Intelligence (AI) is a branch of computer science focused on the creation of intelligent machines that work and react like humans. AI, unlike traditional programming, uses algorithms to enable machines to learn from their experiences, identify patterns in the data, and make decisions.

Factors in the global and local environment conducive to the development of AI are discussed below:

Global Environment: The following factors in the global environment are conducive to AI development: Advancement in Technology: In recent years, there has been a rapid advancement in technology. Various factors such as Big Data, the Internet of Things (IoT), and the Cloud have contributed to the development of AI. With the rise of automation in businesses and industries, AI has become more important than ever before. Investment: Companies such as Microsoft, and Amazon are investing heavily in AI. Tech start-ups are also mushrooming all over the world, focusing on AI, making it a competitive industry with a promising future. Demographic Change: Changes in the global demographic profile may lead to an increase in demand for AI. AI applications, such as autonomous cars, are being developed to meet the needs of an aging population, while virtual assistants are being developed to support younger generations.

Local Environment: Local factors also play an important role in the development of AI. These include The Availability of Talent: The availability of a skilled workforce is crucial for the development of AI. Companies need to hire data scientists, AI developers, and engineers, who can build and maintain AI models. Infrastructure: AI systems require high-end infrastructure such as servers, storage, and bandwidth. The availability of this infrastructure is important for AI development. Education: Education is an essential factor in the development of AI. With the rise of AI, educational institutions must incorporate AI in their curriculum to ensure that graduates have the necessary skills to meet the demands of the industry. Funding: The availability of funding is crucial for AI development. Governments and private institutions should invest in AI start-ups, research, and development, to ensure that AI reaches its full potential.

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Answer:

The initial value of the computer

Explanation:

The v-intercept of the line is the point when the graph goes through the v-axis. At this point, t=0, meaning no time has yet passed. Since no time has passed, the v equals the original value of the computer at the v-intercept, meaning the answer is the initial value of the computer.

Answer:

Your expression would be 9x + 3y

Step-by-step explanation:

Coefficients with the same variables can be added together

Answer:

42

Step-by-step explanation:

✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨

Slope intercept form:

(y2-y1)/(x2-x1)

(-1-(-1)/(6-5)=

0/1=

0

Slope is zero

So, since y is always -1 and the slope is zero, the equation will e

y= -1

Answer:

5-2x

Step-by-step explanation:

A factor for this biquadratic polynomial equation is 9(y^3+3).

The factor(s) of a polynomial equation are numbers or expressions, that if multiplied together, give the result of the original polynomial equation.

The original polynomial equation is calculated as:

= 6z^4 -4+9(y^3+3)

=  6z^4 - 4+9y^3 + 27

= 6z^4 +9y^3 + 23

The factor from the biquadratic polynomial equation is 9(y^3+3).

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The dimensions of the rectangle has a width = 12cm and length = 5cm.

In calculating the area of a rectangle, we multiply its length and width.

Let us use the letter x to represent the width, so that the length = x - 7

hence we calculate for the unknown x as follows;

x(x - 7) = 60

expand and equate to zero to derive a quadratic equation

x² + 7x - 60 = 0

by factorisation;

x² - 12x + 5x - 60 = 0

x(x - 12) +5(x -12) = 0

(x + 5)(x - 12) = 0

thus for x + 5 = 0

x = -5

and for x - 12 = 0

x = 12

Therefore, x = 12 is true for the quadratic equation and also for the width = 12 and length = 5cm for the rectangle.

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If cosA = 24/25 tanB = 4/3 and angles A and B are in Quadrant I. The value of tan(A-B) is -23/33.

We can start by using the identity: tan(A - B) = (tan A - tan B)/(1 + tan A tan B)

From the given information, we have:

cos A = 24/25, which means sin A = sqrt(1 - cos^2 A) = 7/25 (since A is in Quadrant I)

tan B = 4/3, which means sin B = 4/sqrt(4^2 + 3^2) = 4/5 and cos B = 3/sqrt(4^2 + 3^2) = 3/5

Now, we can use the definitions of sine and cosine to find tan A:

tan A = sin A / cos A = (7/25)/(24/25) = 7/24

Substituting the values we have found into the formula for tan(A - B), we get:

tan(A - B) = (tan A - tan B)/(1 + tan A tan B)

= [(7/24) - (4/3)]/[1 + (7/24)(4/3)]

= (-13/72)/(25/72)

= -13/25

Therefore, tan(A - B) = -13/25.

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Answer:

4,500,000m

Step-by-step explanation:

1.20m=120cm

5m=500m

v=l*b*h

v=120*500*75

v=4,500,000