To find the area A of a rectangle, the length l must be multiplied by the width w. A farmer needs to build a fence to enclose a chicken pen with an area greater than or equal to 50 square feet. The length of the fence must be 10 feet. Write an inequality that describes the widths w that will yield a fenced-in area of at least 50 square feet.

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Answer:

15×15×16=3600

15×15=225

225×16=3600

The coefficient of correlation being 0.4 indicates that the slope of the regression line can be either negative or positive. Option B is answer.

The coefficient of correlation, denoted by "r," measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1. A positive value of r indicates a positive linear relationship, while a negative value of r indicates a negative linear relationship.

However, the value of r alone does not determine the slope of the regression line. The slope, denoted by "b," is determined by the change in the dependent variable for a unit change in the independent variable. It is calculated using the formula b = r * (sY/sX), where sY and sX are the standard deviations of the dependent and independent variables, respectively.

Since the coefficient of correlation being 0.4 does not provide information about the direction of the relationship, the slope of the regression line can be either negative or positive. Therefore, the correct answer is option B) can be either negative or positive.

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Answer:

  y = 2x

Step-by-step explanation:

The graph is of a straight line through the origin. Its slope can be determined from the grid points it passes through. That slope will be the constant of proportionality for the proportion represented.

__

When the graph is a line through the origin, it is a representation of a proportion that can have the equation ...

  y = kx

where k is the constant of proportionality, also the slope of the line.

The value of k will be the y-value when x=1. Reading from the graph, we find the line goes through point (1, 2), so y = 2 when x = 1. That means k = 2 and the equation of the line is ...

  y = 2x

The withdrawal of $170 can be represented as -$170.

Since withdrawal results in a deduction of the money from the total amount, Hence, it will be represented as a negative value.

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Using system of linear equations he will require 20kg of 15% copper and 30kg of 70% copper to produce an alloy of 48% in 50kg

The system of linear equations is the set of two or more linear equations involving the same variables. Here, linear equations can be defined as the equations of the first order, i.e., the highest power of the variable is 1. Linear equations can have one variable, two variables, or three variables.

To solve this problem, we need to write a system of linear equations and find the equivalent amount of the metal required to make the desired amount of the alloy.

0.15x + 0.7y = 0.48(50) ..eq(i)

0.15x + 0.7y = 24 ...eq(i)

x + y = 50 ...eq(ii)

solving equation (i) and (ii)

x = 20, y = 30

He needs 20kg of 15% copper and 30kg of 70% copper to get 48% of 50kg of alloy.

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Since this is a pieciwise function we need to determine which expression to use for the value of x given. For the definition of the function we notice that for every x grater than 4 we need to use the function:

Since in this case we want to evaluate the function at x=6 and this value is greater that four we need to use this expression.

Then we have that:

Therefore the value of the function at x=6 is -18

Answer c

Step-by-step explanation:

Answer:

1,130,400 people

Step-by-step explanation:

Find the area of the broadcasting area, using the circle area formula.

Since the diameter is 120 miles, the radius will be 60 miles.

Use the circle area formula, plug in 60 as r, and plug in 3.14 as pi:

A = \(\pi\)r²

A = (3.14)(60²)

A = 11304

So, the area is 11304 square miles

To find how many people are in receiving distance, multiply this by 100, since there are 100 people per square mile.

11304(100)

= 1,130,400

So, 1,130,400 people are within receiving distance of the signal.

Answer:

1,130,400

Step-by-step explanation:

The area of the sidewalk around the circular flower bed can be found by subtracting the area of the flower bed from the area of the larger circle formed by the outer edge of the sidewalk.

To calculate the area of the sidewalk, we first need to find the radius of the flower bed. We know that the diameter of the flower bed is 22m, so the radius is half of that or 11m.

Next, we need to find the radius of the larger circle formed by the outer edge of the sidewalk. This can be done by adding the width of the sidewalk on both sides of the flower bed, which is 3m x 2 = 6m, to the diameter of the flower bed.

Therefore, the diameter of the larger circle is 22m + 6m = 28m, and the radius is half of that or 14m.

Using the formula for the area of a circle (A = πr²), the area of the flower bed is 3.14 x 11² = 380.26m², and the area of the larger circle is 3.14 x 14² = 615.44m².

Finally, we can find the area of the sidewalk by subtracting the area of the flower bed from the area of the larger circle:

Area of sidewalk = 615.44m² - 380.26m² = 235.18m².

Therefore, the area of the sidewalk around the circular flower bed is 235.18 square meters.

In summary, to find the area of the sidewalk around a circular flower bed with a diameter of 22m and a width of 3m, we first need to calculate the radius of the flower bed and the larger circle formed by the outer edge of the sidewalk. Then, we can use the formula for the area of a circle to find the areas of both circles and subtract the area of the flower bed from the area of the larger circle to get the area of the sidewalk.

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Answer:

1.6 gallons every week

Step-by-step explanation:

ratio of milk to weeks is 8:5

to get milk/week, divide by 5 to get:

1.6:1

which means they drink 1.6 gallons per week

Answer:

In the first equation, it's H20 but the second is B

2Mg + 2O2

here are the answers for both questions on this slide as of edge 2021, the 2nd is the one asked here.

1. 2KClO3 → 2KCl + ?

2Na + Cl2 → ?

A.) 2NaCl

2. MgO + ? → Mg(OH)2

2MgO → ?

B.) 2Mg + O2

Answer:

|9|= -9

Step-by-step explanation:

Answer: 9

Step-by-step explanation: The vertical bars around the

means that we are taking the absolute value of the integer.

The absolute value of an integer is its distance from zero on a number line.

Since 9 is 9 units from zero, the absolute value of 9 is 9.

To find the parametric equations of the line perpendicular to the yz-plane passing through the point (6,-2,-1), we need to first determine the direction vector of the line. Since the line is perpendicular to the yz-plane, its direction vector must be parallel to the x-axis. Thus, we can choose the unit direction vector as <1,0,0>.

Next, we can use the point-normal form of the equation of a line to find the parametric equations. The point-normal form is given by:
r = r0 + t*n
where r is the position vector of any point on the line, r0 is the position vector of a known point on the line (in this case, (6,-2,-1)), t is a parameter that represents the distance along the line from the known point, and n is the unit normal vector to the line (in this case, <1,0,0>).
Substituting the values into the equation, we get:
r = <6,-2,-1> + t<1,0,0>
Expanding this equation, we get:
x = 6 + t
y = -2
z = -1
Thus, the parametric equations of the line perpendicular to the yz-plane passing through the point (6,-2,-1) are:
x = 6 + t
y = -2
z = -1

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Step-by-step explanation:

the x-intercept is the point, where the curve intercepts the x-axis (that means y = 0).

the y-intercept is the point, where the curve intercepts the y-axis (that means x = 0).

y = 10 - 2x

when x = 0, that means y = 10 - 2×0 = 10.

when y = 0, that means 0 = 10 - 2x, 2x = 10, x = 5

x-intercept = (5, 0)

y-intercept = (0, 10)

4y + 9x = 18

x = 0, 4y = 18, y = 18/4 = 9/2 = 4.5

y = 0, 9x = 18, x = 18/9 = 2

x-intercept = (2, 0)

y-intercept = (0, 4.5)

6x - 2y = 44

3x - y = 22

x = 0, -y = 22, y = -22

y = 0, 3x = 22, x = 22/3 = 7 1/3

x-intercept = ( 7 1/3, 0)

y-intercept = (0, -22)

2x = 4 + 12y

x = 2 + 6y

x = 0, 6y = -2, y = -2/6 = -1/3

y = 0, x = 2 + 6×0 = 2

x-intercept = (2, 0)

y-intercept = (0, -1/3)

The proportion and the standard deviation of the sample proportion for samples of size 100 are approximately 0.5 and 0.05, respectively.

To determine the proportion and the standard deviation of the sample proportion for samples of size 100 from a population of size 1,000 with a proportion of 0.5, we'll follow these steps:
Identify the given values
- Population size (N) = 1,000
- Proportion (p) = 0.5
- Sample size (n) = 100
Calculate the sample proportion
The sample proportion is the same as the population proportion since we're taking a sample from the population.
Sample proportion (p') = p = 0.5
Calculate the standard deviation of the sample proportion
Use the formula: standard deviation (σ_p') = √[(p * (1-p)) / n]
- σ_p' = √[(0.5 * (1-0.5)) / 100]
- σ_p' = √(0.25 / 100)
- σ_p' = √0.0025
- σ_p' ≈ 0.05
Therefore, the proportion and the standard deviation of the sample proportion for samples of size 100 are approximately 0.5 and 0.05, respectively.

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Step-by-step explanation:

the area of a circle (all 360°) is

pi×r²

with r being the radius.

the area of a circle segment is just the corresponding fraction of the whole circle.

so the area of a segment of x degrees is

pi×r² × x/360

in our case we know

pi×42240² × x/360 = 180 mi²

we also know that there are 5280 ft in 1 mile.

so, the radius is actually

42240 / 5280 = 8 miles

and therefore our equation resulting in mi² has to use miles and not ft and has to look that way :

pi×8² × x/360 = 180 mi²

pi×64 × x/360 = 180

pi×64 × x = 180×360

pi×x = 180×360/64 = 1012.5

x = 1012.5/pi = 322.2887598...°

so, the angle of the segment of a circle with the area of 180 mi² and the radius of 8 mi is 322.2887598...°

Answer:

Surface Area = 6×62 = 216 inches2

Step-by-step explanation:

Formula for surface area of cube is 6 into side²

EXPLANATION

Cube has all sides of equal dimensions and like that it has 6 faces.

So total surface area of cube is equal to the combined area of all the six faces.

Now each face has equal dimensions so same area

Therefore,

area of a single face =side²

Therefore, area of entire cube = 6 times the area of a single face

= 6 * side²

The correct answer is option (c) 2.06.  For every dollar of debt, Blaine and Lindsay have approximately $2.06 in assets

The asset-to-debt ratio for Blaine and Lindsay McDonald can be calculated by dividing their total assets by their total debt. Using the given values, the calculation would be as follows:

Asset-to-debt ratio = Total assets / Total debt

                   = $346,000 / $168,000

The asset-to-debt ratio is a financial metric that provides insight into the financial health and leverage of an individual, company, or entity. It measures the proportion of assets to debt and is used to assess the ability to meet financial obligations and the level of risk associated with the amount of debt.

In this case, Blaine and Lindsay McDonald have total assets valued at $346,000 and total debt of $168,000. By dividing the total assets by the total debt, we obtain the asset-to-debt ratio of approximately 2.06. This means that for every dollar of debt, Blaine and Lindsay have approximately $2.06 in assets. A higher asset-to-debt ratio generally indicates a stronger financial position and lower risk, as there are more assets available to cover the debt obligations.

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xm = (x1 + x2)/2. Determine the average of the y-coordinates of the end-points to obtain the y-coordinate of the mid-point. ym = (y1 + y2)/2.

You may determine the coordinates of the point that divides a directed line segment into a specific proportion using the ratios of directed line segments calculator.

This article will go over the definition of a directed line segment, the formula for segment partitioning, examples of how to divide a line segment with a specified ratio, and commonly asked questions. a line section.

A line with AB attached to it has two endpoints.

A andwhere B

A\s=B. A directed line segment, such as AB, is one that has a clear direction; it is a line segment that runs from A to B. The directed line segment AB cannot be written as BA, despite the fact that the line segment AB may. This is due to AB being directed.

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The different ways in which she can jump up a set of five steps is: 4 + 3 + 1 = 8 ways.

By choosing some items from a set and creating subsets, permutation and combination are two approaches to represent a group of objects. It outlines the numerous configurations for a particular set of data. Permutations are the selection of data or objects from a set, whereas combinations are the order in which they are represented. Both ideas are critical to mathematics.

Here, the differences between permutation and combination are described in detail.

The given steps are 5.

Thus, we have the following possibilities:

For 1 double step and 3 single steps:

4! / 3! = 4

For 2 double steps and 1 single step:

3! / 2! (1!) = 3

For 5 single steps: 1 way

Thus, the different ways in which she can jump up a set of five steps is:

4 + 3 + 1 = 8 ways.

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Answer:

C.

Step-by-step explanation:

sorry if im wrong

Answer:

i believe that the answer would be D

Step-by-step explanation:

the slope is positive eliminating the first 2 answers. it goes over and up about one so that leaves C and D

Answer:

560x^3y^4.

Step-by-step explanation:

The (r+1)th term of (a + b)^r = nCr a^(n-r) b^r

We want the fifth term so r = 5 - 1 = 4:

(4 + 1)th term = 7C4 x^(7-4) (-2y)^4

= 35x^3 16y^4

= 560x^3y^4.

When he swam 5 laps in 2 1/2 minutes, he would complete 16 laps in around 8 minutes.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. In mathematics, a fraction is used to denote a portion or component of the total. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, while the denominator is the number at the bottom.

Here,

laps in 2.5 minutes=5

In 8 minutes,

=5/2.5*8

=16 laps

He would swam approximately 16 laps in 8 minutes when he swam 5 laps in 2 1/2 minutes.

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Therefore, the missing values in the arithmetic sequence {20, 22, 23, 24, 25, 0} are 21 and -25

To find the missing values in the arithmetic sequence {20, 22, 23, 24, 25, 0}, we need to determine the common difference between consecutive terms and then identify the missing values based on that pattern.

The common difference (d) is the constant value added to each term to get to the next term. To find it, we can look at the differences between consecutive terms:

22 - 20 = 2

23 - 22 = 1

24 - 23 = 1

25 - 24 = 1

From the differences, we can see that the common difference is 1.

Now, let's identify the missing values:

To go from 20 to 22, we add 2. So the missing value between 20 and 22 is 21.

To go from 22 to 23, we add 1. Therefore, there are no missing values between 22 and 23.

To go from 23 to 24, we add 1. Again, there are no missing values between 23 and 24.

To go from 24 to 25, we add 1. No missing values between 24 and 25.

To go from 25 to 0, we subtract 25. So the missing value between 25 and 0 is -25.

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Answer:

350

Step-by-step explanation:

in every 140 calories there is 8 ounces

what about in 20 ounce of drink

140 calories ___8 ounce

? 20 ounce

140×20 =2800÷8=350

Answer:

you didnt give any options

The patient is possibly infected with SARS-CoV-2, the virus that causes COVID-19, but further testing is required for confirmation.

Based on the information provided, the symptoms, and the patient's recent travel history, there is a possibility that the patient is infected with the novel coronavirus known as SARS-CoV-2, which causes the disease called COVID-19.

The patient's symptoms align with common symptoms associated with COVID-19, including difficulty breathing, body aches, fatigue, high fever, and a dry cough. Additionally, the mention of the patient's recent trip to Wuhan, China, is significant because Wuhan was identified as the initial epicenter of the COVID-19 outbreak.

To definitively confirm the presence of the virus, further diagnostic tests specifically targeting SARS-CoV-2 would be necessary, such as a PCR (polymerase chain reaction) test or an antigen test. These tests detect the genetic material or specific proteins of the virus, respectively, and provide more accurate results compared to a rapid test for influenza A.

Given the information provided, there is a strong suspicion that the patient may be infected with SARS-CoV-2, but a laboratory test is required to confirm the diagnosis. It is crucial for the patient to follow up with their doctor and undergo appropriate testing and medical evaluation.

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To find a function f such that F = ∇f, we differentiate each term of F with respect to its corresponding variable and equate them to the partial derivatives of f. We obtain f(x, y, z) = xyexzi + C1(x, y, z), where C1(x, y, z) is a constant function with respect to x, y, and z.

To evaluate F dr along the curve C, we substitute the parametric equations of C into F and then integrate the resulting expression with respect to t over the interval [0, 3].

To find the function f(x, y, z) such that F = ∇f, we differentiate each term of F with respect to its corresponding variable.

∂f/∂x = yzexzi + xyexzk

∂f/∂y = exzj

∂f/∂z = yzexzi + exzj

Comparing these derivatives with the components of F, we can see that f(x, y, z) = xyexzi + C1(x, y, z), where C1(x, y, z) is a constant function with respect to x, y, and z.

To evaluate F dr along the curve C, we substitute the parametric equations of C into F. The parametric equations of C are:

\(x = t^2 + 2\\y = t^2 - 1\\z = t^2 - 3t\)

Substituting these equations into F, we have:

\(F dr = [(t^2 - 1)(t^2 - 3t)exp((t^2 + 2)(t^2 - 3t)i + exp((t^2 + 2)(t^2 - 3t)j + (t^2 + 2)(t^2 - 1)exp((t^2 + 2)(t^2 - 3t)k] dt\)

To evaluate the integral, we integrate each component of F dr with respect to t over the interval [0, 3]. The resulting integral will provide the value of F dr along the curve C.

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The probability of rolling an even number in at least one of the throws is 31/32 or approximately 0.969.

The probability of not rolling an even number in a single throw is 1/2, since there are three odd numbers and three even numbers on the die. Therefore, the probability of not rolling an even number in five independent throws is (1/2)^5 = 1/32.

The probability of rolling an even number in at least one of the throws is the complement of the probability of not rolling an even number in any of the five throws. So:

P(rolling an even number in at least one of the throws) = 1 - P(not rolling an even number in any of the five throws)

= 1 - (1/32)

= 31/32

Therefore, the probability of rolling an even number in at least one of the throws is 31/32 or approximately 0.969.

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