What are the steps of Product of the Form?

It will cost $211.05 to pour the concrete slab for the patio.

First, we have to convert the dimensions of the patio into yards.

11 feet = 3.67 yards (since there are 3 feet in a yard)

Next, we need to convert the depth of the concrete from inches to yards.

3 inches = 0.25 yards (since there are 36 inches in a yard)

Volume of patio is

Volume = Length x Width x Depth

= 3.67 yards x 3.67 yards x 0.25 yards

= 3.35 cubic yards

Cost = Volume x Price

= 3.35 cubic yards x $63.00

= $211.05

Therefore, it will cost $211.05 to pour the concrete slab for the patio.

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If in  triangle ABC, EG = x inches and BG = (5x - 12) inches, the length of EB is 7x - 12 inches.

In triangle ABC, the centroid G is the point of intersection of the three medians AD, BE, and CF. We are given that EG = x inches and BG = (5x - 12) inches. We need to find the length of EB.

We can use the fact that the centroid G divides each median in the ratio of 2:1. Let M be the midpoint of AC, and let N be the midpoint of BC. Then, we have:

BE/EN = 2/1

Using this proportion, we can solve for EB as follows:

BE/EN = 2/1

BE/(BN + EN) = 2/1

BE/((5x - 12)/2 + x) = 2/1 (substituting BN = (5x - 12)/2 and EN = x)

BE/(7x/2 - 6) = 2/1

BE = 2(7x/2 - 6)

BE = 7x - 12

In conclusion, we can use the fact that the centroid divides each median in the ratio of 2:1 to find the length of EB in triangle ABC. We can solve for the unknown using a proportion and the lengths of the medians that pass through it.

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Complete question is:

Answer:

12

Step-by-step explanation:

i got it right

Using percentages the number of people is who watch the fireworks is 647.

A percentage is a ratio out of hundred.

Since we have 492 people who choose to watch the fireworks from the castle and this is 76% of the people who watch the fireworks at all, how many people watch the fireworks altogether?

Now, percentage = number/total × 100 %

Now, we require the total number. Making the total number subject of the formula, we have that

total = number × 100 %/percentage

Since

So, substituting the values of the variables into the equation, we have that

total = number × 100 %/percentage

total = 492 × 100 %/76%

= 6.474 × 100 %

= 647.4

≅ 647

So, the number of people is 647.

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The value of x in the right triangle is 26.43 degrees.

A right-angle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

According to the position of the angle, the sides of the right-angle triangle are as follows:

Therefore, let's use trigonometry to find the side x of the right triangle.

Hence,

sin 27 = opposite / hypotenuse

opposite side = 12 units

hypotenuse = x

sin 27  = 12 / x

cross multiply

x = 12 / sin 27

x = 12 / 0.45399049974

x = 26.4323002709

Therefore,

x = 26.43 degrees.

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Yes.

It is true that if v1, v2, ..., vp are vectors in Rⁿ, then Span{v1, v2, ..., vp} is the same as the column space of the matrix [v1 v2 ... vp].

True, let A = [v1 v2 ... vp] be the matrix columns are the given vectors.

The column space of A is the set of all linear combinations of the columns of A, which is exactly the same as the span of the vectors v1, v2, ..., vp.

In other words, any vector that can be written as a linear combination of the columns of A is also in Span{v1, v2, ..., vp}, and vice versa.

The tools of linear algebra to study the span of a set of vectors, by considering the column space of the corresponding matrix.

Techniques like row reduction and rank to determine if a set of vectors is linearly independent or spans the whole space Rⁿ.

Yes, the given vectors should be used as the matrix columns in A = [v1 v2... vp].

The span of the vectors v1, v2,..., vp is exactly the same as the column space of A, which is the set of all linear combinations of the columns of A.

This means that any vector that can be expressed as a linear combination of columns from A is also a vector in Spanv1, v2,..., vp and vice versa.

By taking into account the column space of the associated matrix, the techniques of linear algebra may be used to examine the range of a collection of vectors.

To establish if a group of vectors spans the whole space Rn or is linearly independent, use methods like rank and row reduction.

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The best answer is the nearby population and local average income.

What is the average?

This is the arithmetic mean and is calculated by adding a group of numbers and then dividing by the count of those numbers. For example, the average of 2, 3, 3, 5, 7, and 10 is 30 divided by 6, which is 5.

The independent variables in a regression analysis are the variables that are believed to have an impact on the dependent variable.

In this case, the dependent variable is expected sales, and the independent variables are factors that could influence sales at a particular location.

Of the options given, nearby population and local average income are both factors that could reasonably be expected to have an impact on expected sales at a store location.

A larger nearby population may indicate more potential customers, while a higher local average income may indicate more purchasing power among those customers.

The other options, number of rainy days and number of snow days, sales and expenses, and number of employees and size of the building, are all variables that could be relevant in other contexts, but are less directly related to expected sales at a store location.

Hence, The best answer is the nearby population and local average income.

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The degree of the polynomial is 8, which is the highest exponent of the variable x.

The leading coefficient is -1.

To find the maximum number of real zeros, we can use Descartes' rule of signs. First, we count the number of sign changes in the coefficients of the polynomial.

- from -1x⁸ to -3x⁷ (change from negative to negative)

- from -3x⁷ to +3x⁵ (change from negative to positive)

- from +3x⁵ to -4 (change from positive to negative)

Therefore, there are either 3 or 1 positive real zeros.

Next, we count the number of sign changes in the coefficients of f(-x), which is the polynomial with its terms reversed in order.

- from -1(-x)⁸ to -3(-x)⁷ (change from negative to negative)

- from -3(-x)⁷ to +3(-x)⁵ (change from negative to positive)

Therefore, there are either 2 or 0 negative real zeros.

Since the number of positive real zeros is either 3 or 1, and the number of negative real zeros is either 2 or 0, the maximum number of real zeros is 3.

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If a model predicting minutes includes "ftmade" as an explanatory variable, the model would have two parameters: the intercept and the slope of "ftmade." The intercept represents the expected minutes when "ftmade" is zero, and the slope represents the expected increase in minutes for every one-unit increase in "ftmade."

The number of parameters in a model that predicts mins by including ftmade as an explanatory variable depends on the type of model being used.

If a simple linear regression model is used, the model would have two parameters: the intercept and the slope coefficient for the ftmade variable.

If a multiple linear regression model is used, which includes more than one explanatory variable, the model would have additional parameters for each additional explanatory variable included.

For example, if the model also included the variables age and gender, the model would have four parameters: the intercept, the slope coefficient for ftmade, the slope coefficient for age, and the coefficient for gender (assuming gender is coded as a binary variable).

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This type of data is considered "behavioral data."

Behavioral data refers to information collected on a user's actions, such as their phone usage habits, in this case, the number of times they talk to someone for more than 20 minutes within a week. The cell phone carrier can analyze this data to gain insights into customer behavior and preferences.

Behavioral data is valuable for various purposes, including customer analytics, personalized marketing, service optimization, and network planning. By analyzing this type of data, companies can gain a better understanding of their customers' preferences, usage patterns, and needs, allowing them to make data-driven decisions to improve their services and tailor their offerings accordingly.

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a' is factoring out from the [tex]ax^2+bx[/tex]

The correct option is (2)

Here is the some steps from the question:

Step 1: –c = [tex]ax^2 + bx[/tex]

Step 2: -c = [tex]a[x^2+\frac{b}{ax} ][/tex]

The best explains or justification of step 2:

=> 'a' is taken out common from [tex]ax^2+bx[/tex] .

When we take out 'a' we divide each term by 'a'. so it becomes :

[tex]a[x^2+\frac{b}{ax} ][/tex]

Hence, 'a' is factoring out from the [tex]ax^2+bx[/tex]

So, We can call the 'factoring the binomial'

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The given question is incomplete, complete question is:

A student is deriving the quadratic formula. Her first two steps are shown. Step 1: –c = ax2 + bx Step 2: -c = a[x^2+b/ax] Which best explains or justifies Step 2?

(1) division property of equality

(2) factoring the binomial

(3)completing the square

(4)subtraction property of equality

Answer:

-----------------

To find the distance you can use the formula:

Given:

First, we need to convert the time from minutes to hours:

Now, set up the equation using the given values and units:

Answer:x-1

Step-by-step explanation: the expression is already simplified.

The system of equation for the given system  in the form x = p(t)x + f(t) is equal to x = [-1 -3t] x + [sint]

                    [0 + 3]x +  [cost]  

System of equation is,

,x₁′=2x₁−3tx₂ + sint,

x₂′=([tex]e^{t}[/tex])x₁ 3x₂ + cost

System in the form x = p(t)x + f(t), first express it in matrix form,

x' = A(t)x + g(t)

where x = [x₁, x₂]ᵀ,

A(t) is a 2x2 matrix,

and g(t) is a column vector with entries sint and cost.

Using the given system, we have,

x₁′ = 2x₁ - 3tx₂ + sint

x₂′ = eᵗx₁ + 3x₂ + cost

Rewriting this in matrix form, we get,

[tex][x_{1}]^{'} = [2 -3t] \left[\begin{array}{ccc}x_{1}^{} \\x_{2}^{} \end{array}\right][/tex] +  [sint]

[tex]\left[\begin{array}{ccc}x_{2}^{'} \end{array}\right][/tex]  [tex]= \left[\begin{array}{ccc}e^{t} &3\end{array}\right][/tex][tex]\left[\begin{array}{ccc}x_{1}^{} \\x_{2}^{} \end{array}\right][/tex]+ [cost]

Now, to write this in the form x = p(t)x + f(t),

we need to find a function P(t) such that A(t) = P(t) - P'(t),

where P'(t) is the derivative of P(t).

For A(t), we have,

A(t) = [2 -3t]

        [eᵗ 3 ]

To find P(t), integrate the diagonal entries of A(t),

P(t) = [2 3t]

        [eᵗ 3]

Then,  compute P'(t) and subtract it from P(t) to get A(t),

P'(t) = [0 3]

        [eᵗ 0]

A(t) = P(t) - P'(t)

     = [2-3t -0 -3]

[eᵗ - eᵗ + 3 - 0]

Therefore, the system of equation x' = A(t)x + g(t) can be written as,

x = [-1 -3t] x + [sint]

     [0 + 3]x +  [cost]  which is in the form x = p(t)x + f(t).

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The above question is incomplete, the complete question is:

Write the system ,x₁′=2x₁−3tx₂ + sint, x₂′=(e^t)x₁ 3x₂ + cost in the form.

x=p(t)x + f(t)

Noah needs 195 cups of cinnamon and 130 cups of nutmeg to make 130 pounds of spiced pecans.

Noah is not correct in claiming that he has enough spices to make 130 pounds of spiced pecans.

To begin with, let's look at the recipe Noah uses. He mixes 1/2 cup of cinnamon and 1/3 cup of nutmeg to make 1/6 cup of the spice mixture.

=>  1/3 + 1/6 = (2 +1)/ 6 = 3/6 = 1/2

So, the amount of cinnamon required would be

=> 130*(1/2) = 195 cups or 15 3/4 quarts.

Similarly, the amount of nutmeg required would be

=> 130 * 1 = 130 cups or 10 1/4 quarts.

Now, let's see if Noah has enough spices to make 130 pounds of spiced pecans. We can add the amount of cinnamon and nutmeg required, which is

=> 195 cups + 130 cups = 325 cups (or 26 quarts).

This is more than the amount of spices Noah has, which is only 2 quarts.

Therefore, Noah is not correct in claiming that he has enough spices to make 130 pounds of spiced pecans. He would need more than 12 times the amount of spices he currently has in order to make that amount.

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The Moon orbits Earth its position relative to the Sun changes causing different portions of the Moon's surface to be illuminated.

This creates predictable cyclic patterns, such as the phases of the Moon.

The Moon reflects sunlight as it orbits Earth due to its surface features, which include mountains, valleys, and craters.

These features scatter and reflect sunlight in different directions.

And causing the Moon to appear differently lit depending on its position relative to the Sun and Earth.

The phases of the Moon are determined by the amount of sunlight that is reflected from its surface as it orbits Earth.

When the Moon is between the Sun and Earth, its illuminated side faces away from Earth.

And causing the Moon to appear dark, known as a new moon.

As the Moon moves in its orbit, more and more of its illuminated side becomes visible from Earth.

And causing the Moon to appear to grow in size and brightness.

Until it reaches a full moon when the entire illuminated side is visible.

The cycle then repeats as the Moon moves in its orbit.

And causing the amount of illuminated surface visible from Earth to decrease until it reaches another new moon.

This cyclic pattern of changing illumination creates the predictable phases of the Moon that can be observed from Earth.

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The linear model for this data is y = 0.63t + 4.922 and the estimated population of Greensboro in 2015 was 11,530

What is slope?

Slope is a measure of the steepness of a line. It is defined as the change in y-coordinate divided by the change in x-coordinate between any two points on the line.

a. To find the linear model for this data, we need to determine the equation of the line that passes through the two given points: (0, 4.922) and (6, 9.1). The slope of this line can be calculated as:

slope = (change in y) / (change in t)

slope = (9.1 - 4.922) / (6 - 0)

slope = 0.63

Using the point-slope form of a linear equation, we can write the equation of the line as:

y - 4.922 = 0.63(t - 0)

Simplifying, we get:

y = 0.63t + 4.922

Therefore, the linear model for this data is y = 0.63t + 4.922.

b. To estimate the population in 2015, we need to find the value of y when t = 11 (since 2015 is 11 years after 2004). Substituting t = 11 into the linear model, we get:

y = 0.63(11) + 4.922

y = 11.53

Therefore, the estimated population of Greensboro in 2015 was 11,530 (rounded to the nearest whole number).

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The law of large numbers is a fundamental concept in probability theory that describes the behavior of the average of a large number of independent random variables.

It states that as the sample size increases, the sample mean will converge to the true population mean, and the sample proportion will converge to the true population proportion.

In other words, the larger the sample size, the more reliable the sample mean and proportion will be as an estimate of the true population mean and proportion. This is because the variation in the sample mean and proportion decreases as the sample size increases, and the sample becomes more representative of the population. This principle is widely used in statistics, and it underpins many statistical methods and techniques.

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The absolute minimum amount of gold produced during the California gold rush was at t = 40 years (1888), with a production of G(40) ≈ 0.195 troy ounces.

A function's varied rate of change with respect to an independent variable is referred to as a derivative. When there is a variable quantity and the rate of change is irregular, the derivative is most frequently utilised.

To find the absolute maximum and minimum values of G(t) on the closed interval [0, 40], we need to first find the critical points and endpoints of G(t) on this interval.

Taking the derivative of G(t), we have:

G'(t) = (25(t² + 16) - 25t(2t))/ (t² + 16)²

     = 25(16 - t²) / (t² + 16)²

Setting G'(t) equal to zero, we get:

25(16 - t²) / (t² + 16)² = 0

Simplifying this expression, we have:

16 - t² = 0

This gives us t = ±4.

However, we need to check whether these critical points are actually maximum or minimum points, or neither.

We can do this by using the first derivative test, which involves checking the sign of G'(t) on either side of the critical points.

For t < -4, G'(t) < 0, indicating that G(t) is decreasing.

For -4 < t < 4, G'(t) > 0, indicating that G(t) is increasing.

For t > 4, G'(t) < 0, indicating that G(t) is decreasing.

Therefore, we can conclude that t = -4 is a local maximum point, and t = 4 is a local minimum point.

Next, we need to check the endpoints of the interval [0, 40].

At t = 0, G(0) = 0.

At t = 40, G(40) = 25(40) / (40² + 16) ≈ 0.195 troy ounces.

Comparing all of these values, we can see that the absolute maximum amount of gold produced during the California gold rush was at t = 4 years (1852), with a production of G(4) ≈ 1.562 troy ounces.

The absolute minimum amount of gold produced during the California gold rush was at t = 40 years (1888), with a production of G(40) ≈ 0.195 troy ounces.

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The 95% confidence interval for the difference in population proportions of students who were consuming protein-rich food in 2000 and 2010 is (-0.111, -0.029).

What is confidence interval?

In statistics a confidence interval, usually refers to the probability that a population parameter may fall between a set of values for a certain proportion of times. The often use confidence intervals that contain either 95% or 99% of expected observations.

For constructing a 95% confidence interval for the difference in population proportions of students who were consuming protein-rich food in 2000 and 2010, can be determined by using the formula:

[tex]( p_{1} -p_{2} ) + z^{*} \sqrt{\frac{p_{1}(1-p_{1} ) }{n_{1} } +\frac{p_{2}(1-p_{2}) }{n_{2} }[/tex]

and [tex]( p_{1} -p_{2} ) - z^{*} \sqrt{\frac{p_{1}(1-p_{1} ) }{n_{1} } +\frac{p_{2}(1-p_{2}) }{n_{2} }[/tex]

where:

p₁ and p₂ implies that the sample proportions of students consuming protein-rich food in 2000 and 2010, respectively.

n₁ and n₂ = the sample sizes of the two years.

[tex]z^{*}[/tex] is the critical value of the standard normal distribution corresponding to a 95% confidence level, which is  equals to 1.96.

Using the given data, we have:

p₁ = 0.75, n₁ = 700

p₂ = 0.82, n₂ = 850

Substituting these values into two formulae, we get:

[tex]( 0.75 -0.82) + 1.96\sqrt{\frac{0.75(1-0.75 ) }{700 } +\frac{0.82(1-0.82) }{850 }[/tex]

[tex]( 0.75 -0.82) - 1.96\sqrt{\frac{0.75(1-0.75 ) }{700 } +\frac{0.82(1-0.82) }{850 }[/tex]

Solving the above two expressions, we get:

-0.07 ± 0.041

Hence, rounded to three decimal places, the lower bound is -0.111 and the upper bound is -0.029.

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The derivative of F(x) is F'(x) = 3x² - 8x.

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

To find the derivative of the given function F(x), we will apply the fundamental theorem of calculus and differentiate the integral with respect to x.

Let's compute F'(x):

F(x) = ∫[0 to x] (t³ - 4t² + 6) dt

To differentiate the integral with respect to x, we'll use the Leibniz integral rule:

F'(x) = d/dx ∫[0 to x] (t³ - 4t² + 6) dt

According to the Leibniz integral rule, if the upper limit of the integral is a function of x, we need to apply the chain rule. The lower limit of the integral is a constant, so it will not affect the differentiation.

F'(x) = (d/dx)(x³ - 4x² + 6)  [applying the chain rule]

F'(x) = 3x² - 8x

Therefore, the derivative of F(x) is F'(x) = 3x² - 8x.

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(17) The length of apothem of the given regular hexagon is 6.9 units approximately and area of the same is 166.3 square units.

(18) The length of each side of the given regular hexagon is 15 units and area of the same is 585 square units.

(17) The figure is given below with required construction.

Side of the given regular hexagon = 8 units.

We know that the line joining midpoint of a side and center is perpendicular to the side.

So triangle APO is a right angled triangle.

So, P is midpoint of FA.

AP = 8/2 = 4 units.

Each angle of hexagon = 180 - 360/6 = 120

Then angle OAP = 120/2 = 60 degree

Now the length of apothem = AP tan 60 = 4√3 = 6.9 units (rounding to nearest tenth)

So the area of the hexagon = (1/2)*side*apothem*6 = (6.9*8*6)/2 = 166.3 square units.

(18) The figure is given below with required construction.

Apothem (OI) = 13 units

Similarly triangle OYI is right angled triangle.

Angle OYI = 60 degrees

So, the length of YI = OI tan 60 = 13/tan 60 = 13/√3 = 7.5 units (rounding off to nearest tenth)

So the side = 2*7.5 = 15 units.

So the area = (1/2)*15*6*13 = 585 square units.

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The given statement "In queuing problems, service rates are generally described by the exponential distribution." is True because exponential distribution is used to model service rate of server in a queuing system.

In queuing theory, The exponential distribution is a continuous probability distribution that describes the time between two consecutive events in a Poisson process, where events occur randomly and independently over time.

In the context of queuing theory, the Poisson process can be used to model the arrival of customers to a system, and the exponential distribution can be used to model the time it takes for a server to complete a service for a customer.

Specifically, the exponential distribution assumes that the time to complete a service is a continuous random variable, and that the probability of completing a service in a given time interval is proportional to the length of that interval.

The exponential distribution is useful in queuing theory because it allows for the calculation of important performance measures, such as the expected waiting time and the probability of a customer having to wait in the queue, given the arrival rate of customers and the service rate of the server.

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The length of the hypotenuse of the right triangle with a leg length of 7 in is approximately 10 in.

Applying the 45º-45º-90º Triangle Theorem, the length of the hypotenuse of a right triangle can be found by multiplying the length of a leg by the square root of 2. In this case, with a leg length of 7 in, the length of the hypotenuse can be determined.

The 45º-45º-90º Triangle Theorem states that in a right triangle with two equal legs, the length of the hypotenuse is equal to the length of a leg multiplied by the square root of 2.

In this case, the length of one leg is given as 7 in. To find the length of the hypotenuse, we can multiply the length of the leg by the square root of 2:

Hypotenuse = Leg * sqrt(2)

Substituting the given value, we have:

Hypotenuse = 7 in * sqrt(2)

Using a calculator, the approximate value of the square root of 2 is 1.414. Therefore, we can calculate:

Hypotenuse = 7 in * 1.414 ≈ 9.898 in

Rounding to the nearest inch, the length of the hypotenuse is approximately 10 in.

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The statement provides constraints on the values of a negative number p and a positive number s, where 0 < s < |p|.

Inequality is a mathematical expression that describes a relationship between two values that are not equal. It is represented by symbols such as < (less than), > (greater than), ≤ (less than or equal to), ≥ (greater than or equal to), or ≠ (not equal to). Inequality can be used to compare numbers, variables, expressions, and equations, and it plays a fundamental role in algebra, calculus, and other branches of mathematics

The given statement can be written as:

p < 0 and 0 < s < |p|

Here, p is a negative number, which means it is less than zero. The second part of the statement shows that s is greater than zero (since it is given that 0 < s), and it is also less than the absolute value of p, denoted as |p|, which means that s is between 0 and |p|.

Overall, the statement is providing certain constraints on the values of p and s, which can be useful in solving a mathematical problem or proving a theorem.

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According to the Centers for Disease Control and Prevention (CDC), about 73.6 percent of adults in the United States are overweight or obese. So, the correct answer is D).

This means that a majority of adults in the U.S. have a body mass index (BMI) above the healthy range, which is defined as a BMI of 18.5-24.9, which puts them at increased risk for a range of health issues, including heart disease, diabetes, and some types of cancer.

The prevalence of overweight and obesity has been increasing in the United States in recent decades, and it is a significant public health concern. Obesity is a complex issue with many causes, including genetics, environment, and lifestyle factors such as diet and physical activity levels. So, the correct answer is D).

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--The given question is incomplete, the complete question is given

"  According to the Centers for Disease Control and Prevention (CDC), approximately what percentage of u.s. adults is overweight? select one: a. 24 percent b. 44 percent c. 64 percent d. 73.6 percent "--

Answer:

the nearest of that is $484,500.00

Step-by-step explanation:

im not sure but im sorry if wrong

Antonio started watching the movie at 5:17pm

If the movie ended at 7:00pm, and we know that the movie was 1 hour and 43 minutes long, we can then subtract 1 hour and 43 minutes from 7:00pm to find out what time Antonio started the movie.

To subtract 1 hour and 43 minutes from 7:00pm:

= 19:00 - 1:43

= 17:17

As a 24-hour mode, when we convert 17:17 to 12 hours, this gives us 5:17pm.

Note: The movie ended at 7:00pm

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The equation to complete the square for x² + 3x = 6 is 3/2 (option a)

To complete the square for the equation x² + 3x = 6, we need to add a specific number to both sides of the equation. The number we need to add is half of the coefficient of x, squared. In other words, we need to find (b/2)², where b is the coefficient of x.

In this equation, b is 3, so (b/2)² is (3/2)², which simplifies to 9/4. Therefore, to complete the square, we need to add 9/4 to both sides of the equation:

x² + 3x + 9/4 = 6 + 9/4

Now, we can rewrite the left side of the equation as a perfect square:

(x + 3/2)² = 33/4

Finally, we can solve for x by taking the square root of both sides of the equation:

x + 3/2 = ± √(33/4)

x = -3/2 ± √(33/4)

Therefore, the answer to the question is a) 3/2.

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The volume of the cylinder in the diagram is  226.08 m²

The volume of a cylinder of diameter D and height H is:

V = pi*(D/2)²*H

wher pi = 3.14

In the diagram we can see that the cylinder has a diameter of 6 meters and a height of 8 meters, replacing that in the formula above, we can get:

V = 3.14*(6m/2)²*8m

V = 226.08 m²

That is the volume of the cylinder.

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Answer:

V = 72π m³ (exact)

V = 226.19 m³ (approximate)

SA = 66π m² (exact)

SA = 207.34 m² (approximate)

Step-by-step explanation:

Since you don't specify what you are looking for, here are the volume and surface area.

Volume:

V = πr²h

Total Surface Area

SA = 2πr² + 2πrh

r = d/2 = 6 m / 2 = 3 m

V = πr²h
V = π × (3 m)² × 8 m

V = 72π m³ (exact)

V = 226.19 m³ (approximate)

SA = 2πr² + 2πrh

SA = 2 × π × (3 m)² + 2 × π × 3 m × 8 m

SA = (18π + 48 π) m²

SA = 66π m² (exact)

SA = 207.34 m² (approximate)