The diameter of a circle measures 28 ft. what is the circumference of the circle? Use 3.14 for π, and do not round your answer. be sure to include the correct unit in your answer.

yes, for your x to be positive and to make it remain on the left hand side you actually have to add 4x to both side to eliminate x from the right hand side.

The most appropriate replication method for Kia Darby's study of public schools in Appalachia is to compare three schools from the same region, as opposed to replicating Dr. Shamus Khan's methodology of studying an elite boarding school.

Replication is an important aspect of scientific research that allows for the verification of research findings and the strengthening of scientific knowledge. However, it is essential to choose an appropriate replication method that is aligned with the research question, context, and variables.

Dr. Shamus Khan's study of an elite boarding school cannot be replicated in the context of public schools in Appalachia. The educational setting, student demographics, and institutional resources are vastly different, making it challenging to compare and generalize findings.

Comparing three public schools from the same region is a more appropriate replication method for Kia Darby's study. This approach allows for the control of confounding variables and the examination of similarities and differences in school performance, culture, and outcomes. Additionally, Kia could gather statistical data from archives, conduct interviews with school personnel and students, and observe classroom interactions to gain a comprehensive understanding of the research question.

Overall, replication is a crucial aspect of scientific research, and researchers should carefully consider the replication method that aligns with their research question and context.

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Answer:

division

Step-by-step explanation:

please mark me as brainlest

Answer:

D. 56.3 cubic units

Step-by-step explanation:

To find the volume of a rectangular prism you use the formula v=l*w*h which means you multiply 5*3*3.75 to find your answer of 56.3 cubic units.

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we know that

\(\sf{volume ~of~prism =l.w.h }\)

According to the question,.

Using similar triangles, the proportion that solves for the distance between D and E is given by:

9/6 = 15/x.

This problem is incomplete, but researching it on a search engine, it is found that there are two similar triangles, in which:

Similar triangles are triangles that have the same angles, and whose side lengths are proportional.

The proportional side lengths are the ones that we have above, the equivalent sides represented by ~, as follows:

9/6 = 15/x.

With this proportion, the distance between D and E is found, solving for x.

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Answer:9/6=15/x

Step-by-step explanation: I work smart

Lee Jenkins worked the following hours as a manager for a local Pizza Hut 5 4/1​, 9 4/3​, 7 4/3​ and 8 4/3​.

Now, the above-mentioned hours are not in the proper form that we are required to calculate. Therefore, we need to change them into the proper format .In order to add these hours, we must first convert the hours and minutes to the same format.

We'll need to convert each fraction to a common denominator of 3x3=9.  5 4/1​ in the mixed format is 5 + 4/1,
which is equal to 9. 9 4/3 in the mixed format is 9 + 4/3,
which is equal to 10 1/3.7 4/3​ in the mixed format is 7 + 4/3,

which is equal to 8 1/3.8 4/3​ in the mixed format is 8 + 4/3,
which is equal to 9 1/3.Now that we've converted the times,

we can add them together to get a total of 36 1/3 hours.

Therefore, Lee worked for 36 1/3 hours. the total number of hours Lee worked as a manager for the local Pizza Hut is 36 1/3 hours.

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To calculate the molecular weight of a gas with a density of 1.524 g/l at STP, we can use the ideal gas law: PV = nRT. At STP, the pressure (P) is 1 atm, the volume (V) is 22.4 L/mol, and the temperature (T) is 273 K. The molecular weight of the gas with a density of 1.524 g/L at STP is approximately 32.0 g/mol.

Rearranging the equation, we get n = PV/RT.

Next, we can calculate the number of moles (n) of the gas using the given density of 1.524 g/l. We know that 1 mole of any gas at STP occupies 22.4 L, so the density can be converted to mass by multiplying by the molar mass (M) and dividing by the volume: density = (M*n)/V. Rearranging the equation, we get M = (density * V) / n.

Substituting the given values, we get n = (1 atm * 22.4 L/mol) / (0.0821 L*atm/mol*K * 273 K) = 1 mol. Then, M = (1.524 g/L * 22.4 L/mol) / 1 mol = 34.10 g/mol. Therefore, the molecular weight of the gas is 34.10 g/mol.

To calculate the molecular weight of a gas with a density of 1.524 g/L at STP, you can follow these steps:

1. Recall the ideal gas equation: PV = nRT

2. At STP (Standard Temperature and Pressure), the temperature (T) is 273.15 K and the pressure (P) is 1 atm (101.325 kPa).

3. Convert the density (given as 1.524 g/L) to mass per volume (m/V) by dividing it by the molar volume at STP (22.4 L/mol). This will give you the number of moles (n) per volume (V):

  n/V = (1.524 g/L) / (22.4 L/mol)

4. Calculate the molar mass (M) of the gas using the rearranged ideal gas equation, where R is the gas constant (8.314 J/mol K):

  M = (n/V) * (RT/P)

5. Substitute the values and solve for M:

  M = (1.524 g/L / 22.4 L/mol) * ((8.314 J/mol K * 273.15 K) / 101325 Pa)

6. Calculate the molecular weight of the gas:

  M ≈ 32.0 g/mol

Therefore, the molecular weight of the gas with a density of 1.524 g/L at STP is approximately 32.0 g/mol.

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The y-intercept of a line is the point where the line crosses the y-axis. In other words, it is the point at which the line has an x-coordinate of 0.

To find the y-intercept of the line y = –10x + 1/9, we can set x = 0 in the equation and solve for y:

y = –10x + 1/9

= –10*0 + 1/9

= 1/9

Therefore, the y-intercept of the line is 1/9.

This type of depends on the concept of Taylor’s series expansion of a function at a particular point.

We know that the Taylor’s series expands any function till an infinite sum of terms which are expressed in terms of the derivatives of the function at a point. We know that the Taylor’s series expansion of a function centered at x=0

is known as Maclaurin’s series. The general formula for Maclaurin’s series is f(x)=∑n=0∞fn(0)xnn!

Complete step by step solution:

Now, we have to find Taylor’s series expansion of e−2x

centered at x=0

.

We know that Taylor’s series expansion at x=0

is known as Maclaurin’s series which is given by,

⇒f(x)=∑n=0∞fn(0)x n n!

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Answer:

Step-by-step explanation:

The perimeter of the Farmer Bob's rectangular field is 162 yards. The width is 2x and the length is (3x-4). What is the value of x? Question 8 options: 47 34 17 10

Answer:

A statistical method to identify cost behavior.

Step-by-step explanation:

Costing is the measurement of the cost of production of goods and services by assessing the fixed costs and variable costs associated with each step of production.

In Financial accounting, the three methods used to classify costs into their fixed and variable components includes high-low method, scatter diagrams and least-squares regression.

A least squares regression line is a standard technique in regression analysis used to make the vertical distance obtained from the data points running to the regression line to become very minimal or as small as possible.

Hence, the least-squares regression method is a statistical method that is typically used for identifying cost behavior.

Generally, the sum of the residuals of a least squares regression line is always equal to zero.

Answer:

acute isosceles

Step-by-step explanation:

both legs have an equal length, and angles are less than 90º

The computation of the the vertex of the parabola shows that they value of a will be -1/4.

It should be noted that the vertex of the parabola is given as:

y = a(x - h)² + k

Here, (h, k) are the parabola.

In this case, we'll slot the values into the equation. This will be:

y = a(x - h)² + k

10 = a(3 - 7)² + 14

10 = a(-4)² + 14

10 = 16a + 14

Collect like terms

16a = 10 - 14

16a = -4

Divide both side by 16

16a/16 = -4/16

a = -1/4

In conclusion, a is -1/4.

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Answer:

385 Miles

Step-by-step explanation:

Find the Unit Value

105:3 = 35:1

Multiply

35 x 11 = 385

Answer:A linear model is appropriate because the scatterplot shows a strong, positive linear relationship.

Step-by-step explanation:

The center line deflection of the section is 0.0513 ft. As per the maximum permissible center line deflection of 0.0583 ft, the center line deflection of this section is satisfactory for the service live load.

W24 x 55 (Ix = 1350 in ) is selected for a 21 ft simple span to support a total service live load of 3 k/ft (including beam weight).

Use E = 29000 ksi.

The maximum permissible value of center line deflection is 1/360 of the span.

The maximum permissible center line deflection can be computed as;

\($$\Delta_{max} = \frac{L}{360}$$\)

Where, \($$L = 21\ ft$$\)

The maximum permissible center line deflection can be computed as;

\($$\Delta_{max} = \frac{21\ ft}{360}$$$$\Delta_{max} = 0.0583\ ft$$\)

The total service live load is 3 k/ft. So, the total load on the beam is;

\($$W = \text{Load} \times L

= 3\ \text{k/ft} \times 21\ \text{ft}

= 63\ \text{k}$$\)

The moment of inertia for the section is;

\($$I_x = 1350\ in^4$$$$= 1.491 \times 10^{-3} \ ft^4$$\)

The moment of inertia can be converted to the moment of inertia in SI units as follows;

\($$I_x = 1.491 \times 10^{-3} \ ft^4$$$$= 0.0015092 \ \text{m}^4$$$$\Delta_{CL} = 0.0513\ ft$$\)

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The type of test that will be required in the organization is a two samples test assuming unequal variance.

It should be noted that a hypothesis simply means a statement of expectation that will be tested by research.

From the complete question, the type of test that will be required in the organization is a two samples test assuming unequal variance. This is performed on the data of two random samples.

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Answer:

The answer is (C.

Step-by-step explanation:

Answer:

C. x≤−6

Step-by-step explanation:

Answer:

I think it's -4418

in slope intercept form:

y=mx+b.

slope of line:

-3/4

y intercept:

(0, 5/2)

Answer:

a. 56.52 feet

Step-by-step explanation:

Circumference= pi* diameter

pi*18= 56.54

56.54 is closest to 56.52

Answer:

for #1 it is 14

and for #2 it is 1.5

Step-by-step explanation:

im not really sure but i tried my best

The measure of the angle z of triangle ∆ABD in the same segment with angle C of triangle ∆ABC is equal to 51°

When two angles are in the same segment, they have the same measure. This means that if you know the measure of one angle in a particular segment, you can determine the measure of any other angle in that segment.

angle z = angle C

angle C = 180° - (55 + 34 + 40)° {sum of interior angles of triangle ABC

angle C = 180° - 129°

angle C = 51°

also;

angle z = 51°

Therefore, the measure of the angle z of triangle ∆ABD in the same segment with angle C of triangle ∆ABC is equal to 51°

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An airship propelled by some mechanical device travels five miles in ten minutes in the direction of the wind, but requires one hour to go back again to the starting point against the same wind. How long would it have taken to go the whole ten miles in a calm day without any wind? Hint: You don't have to use equations to solve this problem.

we have that

5 miles -------> 10 minutes (direction of the wind)

5 miles ------> 1 hour (against the same wind)

therefore

10 miles ------> ? (without any wind)

so

Let

x -----> speed of the wind

y -----> speed of the airship

direction of the wind

speed=d/t ------> 5/10=0.5 miles per min

against the same wind

speed=5/60=1/12 miles per min

so

x+y=0.5 ------> x=0.5-y -----> equation 1

y-x=1/12 -----> equation 2

solve the system

substitute equation 1 in equation 2

y-(0.5-y)=1/12

2y=(1/12)+1/2

2y=7/12

y=7/24=0.2917 miles per min

Find the value of x

x=(1/2)-7/24

x=5/24=0.2083 miles per min

therefore

10 miles without any wind

speed=d/t ------> t=d/speed

t=10/(7/24)

arctan (tan(-33pi/10)) is equivalent to -33pi/10 + nπ, where n is any integer.  Therefore, the answer in exact form is -33pi/10 + nπ.

To evaluate the expression arctan(tan(-33π/10)), we'll follow these steps:

1. Simplify the inner function: tan(-33π/10)
2. Apply the arctan function to the simplified result.

Step 1: Simplify tan(-33π/10)

The tangent function has a period of π, which means that tan(x) = tan(x + nπ) for any integer n. Therefore, we can add or subtract multiples of π to -33π/10 to find an equivalent angle in the range of arctan, which is (-π/2, π/2).

-33π/10 + nπ = -33π/10 + (10n/10)π = (-33 + 10n)π/10

We want to find an integer n such that -π/2 < (-33 + 10n)π/10 < π/2. This simplifies to:

-5 < -33 + 10n < 5

Adding 33 to all sides, we get:

28 < 10n < 38

Dividing by 10:

2.8 < n < 3.8

The only integer in this range is n = 3. So, the equivalent angle in the arctan range is:

(-33 + 10 * 3)π/10 = 7π/10

Step 2: Apply arctan function

arctan(tan(-33π/10)) = arctan(tan(7π/10))

Since tan(7π/10) is already in the range of arctan, we can simply write:

arctan(tan(7π/10)) = 7π/10

So, the exact form of the given expression is:

Your answer: 7π/10

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Given that cot(0) = 4/3 and theta is in Quadrant I, what is sin(theta)?

we have that

If angle theta is in quadrant I , then the value of sin(theta) is positive

Remember that

tan(theta)=1/cot(theta)

so

tan(theta)=3/4

substitute in the expression above

is positive because is quadrant I

remember that

sec(theta)=1/cos(theta)

so

cos(theta)=4/5

tan(theta)=3/4

tan(theta)=sin(theta)/cos(theta)

substitute given values

3/4=sin(theta)/(4/5)

sin(theta)=(3/4)*(4/5)=3/5

the answer is

Answer:

z = 10

Step-by-step explanation:

Lets explain this to you,

Step one: Solve with the parenthesis first (2 times z is 2z and 2 times -8.5 is

-17)

Step two: Subtract 2z from both sides (0.3z - 2z = - 1.7) (2z - 2z = 0)

Step three: Divide negative 1.7 on both sides (-1.7 = -17)

Step four: Simplify - 1.7 / 17 which will finally be 10

There is an easier way but im also in class so I'll do it later!!!!