Find the total mass of a 1 meter rod whose linear density function is p(x) = 11/ (x + 1)^2 kg/m for 0 ≤ x ≤ 1
Mass =____ kg

Omitting the capital variable in a production function is likely to introduce a positive bias on the coefficient of labor, while omitting a variable measuring the probability of precipitation in an equation for concert attendance is likely to introduce a negative bias on the coefficient of the weekend dummy variable.

(c) In a production function for airplanes, if the capital variable is omitted, it is likely to introduce a positive bias on the coefficient of labor. The reason for this is that capital and labor are typically complementary inputs in production, and by omitting the capital variable, the model fails to account for the influence of capital on production. As a result, the estimated coefficient of labor will be higher than its true value, leading to a positive bias. The size of the bias will depend on the extent to which capital and labor are complements in the production process.

(d) In an equation for daily attendance at outdoor concerts, if the variable measuring the probability of precipitation is omitted, it is likely to introduce a negative bias on the coefficient of the weekend dummy variable. The reason for this is that the probability of precipitation at concert time is likely to affect attendance, and by omitting this variable, the model fails to capture its impact. As a result, the estimated coefficient of the weekend dummy variable will be lower than its true value, leading to a negative bias. The size of the bias will depend on the strength of the relationship between precipitation and attendance, as well as the proportion of concerts that are affected by precipitation.

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The equation of the relationship is p = k/n

From the question, we have the following parameters that can be used in our computation:

Number of pizza slices varies inversly as the number of people sharing the whole pizza

Next, we have

p = number of pizza slices

n = number of people sharing the whole pizza

Using the above as a guide, we have the following equation

p = k / n

where k is the variation constant

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Among the three options provided, the cross-sectional data set is the demographic data. Correct option is B).

Cross-sectional data refers to a type of data that captures information about different individuals, entities, or units at a specific point in time. It provides a snapshot of a population or sample at a particular moment, allowing for comparisons and analysis of various characteristics or variables. In the case of demographic data, it typically includes information about individuals' age, gender, education level, income, and other demographic attributes. This data set does not capture changes or trends over time but rather provides a snapshot of the population's characteristics at a specific time.

On the other hand, the BCAD data and links could refer to data related to building codes, regulations, and their corresponding references, while code cases may refer to specific instances or examples of code violations or compliance. These data sets may be specific to certain incidents or cases and do not necessarily capture information about a population or sample at a particular point in time, making them less likely to be considered cross-sectional data.

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The limit of the sequence aₙ=\((\frac{n^2-1}{n^+1} )^n\)as n approaches infinity is 1. Therefore the correct answer is option b.

To find the limit of the sequence an=\((\frac{n^2-1}{n^+1} )^n\) as n approaches infinity, we can analyze the behavior of the expression inside the parentheses.

Let's simplify the expression\((\frac{n^2-1}{n^2+1}) n\) ​:

\(\frac{n^2-1}{n^2+1} = \frac{(n-1)(n+1)}{(n+1)(n-1)} =1\)

Therefore, the expression\(\frac{n^2-1}{n^2+1}\) ​ is always equal to 1 for any positive integer nn.

Now, let's analyze the limit of the sequence:

lim⁡n→∞\((\frac{n^2-1}{n^2+1}) n\)=lim⁡n→∞1^n

Since any number raised to the power of 1 is itself, we have:

lim⁡n→∞1^n=lim⁡n→∞1=1.

Therefore, the limit of the sequence aₙ=\((\frac{n^2-1}{n^+1} )^n\)  as n approaches infinity is 1.

So, the correct answer is option (b) 1.

The question should be:

9. What is the limit of the sequence an = ((n²-1) /(n²+1))^ n ?

(a) 0

(b) 1

(c) e

(d) 2

(e)  Limit does not exist.

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Answer:277

Step-by-step explanation:

Answer:

Step-by-step explanation:

Assuming that the sandbox has a rectangular shape, move from one side in a perpendicular direction to the other side.  For example, draw a line perpendicular to one of the 22-ft-long sides to the other; the shortest distance from one of these sides to the other is 17 ft, the shortest possible such distance.

Answer:

17 feet

Step-by-step explanation:

The solution to the missing gaps of the kite are as follows; kite; perpendicular, reflexive, SAS

1) AD ≅ CD. This is as a result of the definition of a kite.

2) From the kite diagonal theorem, The diagonals meet at right angles and as such AC is perpendicular to BD.

3) ED ≅ ED by reflexive property of congruence.

4) ΔAED = ΔCED by SAS congruency theorem.

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Answer:

95

Step-by-step explanation:

Answer:

(5,1.5)

Step-by-step explanation:

you divide by 2

㋛︎

Answer:

1. The error that Charlotte made is that she said it would be positive 7 when it actually should be negative 7.

2. If you are subtracting from a negative number, then the answer will always be negative.

Hope this helps :)

Answer:

-8,6

Step-by-step explanation:

all of the other answers are within the highlighted area of tha graph and thus are solutions but -8,6 is outside the highlighted area

We are given a matrix A and a scalar λ and asked to show that λ is an eigenvalue of the matrix and determine a basis for its eigenspace.

To determine if λ is an eigenvalue of matrix A, we need to check if there exists a non-zero vector v such that Av = λv. In other words, if multiplying matrix A by vector v results in a scaled version of v. Given the matrix A = [6, 9; -10, 63] and scalar λ = 5, we can find the eigenvectors by solving the equation (A - λI)v = 0, where I is the identity matrix. Substituting the values, we have: [6-5, 9; -10, 63-5]v = 0. Simplifying the equation, we get: [1, 9; -10, 58]v = 0. Solving the system of linear equations, we can find the eigenvectors v corresponding to the eigenvalue λ = 5.

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The ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is (2, -1).

option C.

The ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is determined as follows;

The four points include;

A = (1, 2)

B = (2, - 3)

C = (-2, - 2)

D = (-3,  1)

The  ordered pair that can be plotted together with these four points, must fall withing these coordinates. Going by this condition we can see that the only option that meet this criteria is;

(2, - 1)

Thus, the ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is (2, -1).

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The probability that a person arriving to use the machine will find it idle is 1/3 or 0.3333. Option a is correct.

Use the concept of an M/M/1 queue to calculate the probability, which models a single-server queue with exponential interarrival times and exponential service times.

In this case, the interarrival time follows an exponential distribution with a rate parameter of λ = 5 persons per hour (or 1/12 persons per minute). The service time (copying time) also follows an exponential distribution with a rate parameter of μ = 1/8 persons per minute (since each person uses the machine for an average of 8 minutes).

In an M/M/1 queue, the probability that the system is idle (no person is being served) can be calculated as:

P_idle = ρ⁰ × (1 - ρ), where ρ is the traffic intensity, defined as the ratio of the arrival rate to the service rate. In this case, ρ = λ/μ.

Plugging in the values, we have:

ρ = (1/12) / (1/8) = 2/3

P_idle = (2/3)⁰ × (1 - 2/3) = 1/3

Therefore, the probability is 1/3 or approximately 0.3333.

Thus, option (A) is the correct answer.

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To solve the equation 15 + 2x = 36, we can start by subtracting 15 from both sides of the equation to get 2x = 21. Then, we can divide both sides by 2 to get x = 10.5. Rounded to the nearest ten-thousandth, the solution is x = 10.5000.

To cut the standard deviation of the sample mean from 30 to 15, you would need to increase the sample size from 25 to 4 times the initial size. This means you would need a sample size of 100.

To cut the standard deviation of the sample mean from 30 to 15, you would need to increase the sample size.

The standard deviation of the sample mean (also known as the standard error) is inversely proportional to the square root of the sample size. In other words, as the sample size increases, the standard deviation of the sample mean decreases.

To determine the necessary sample size to achieve a desired standard deviation of 15, you can use the formula:

\(n = (s/\sigma)^{2}\)

Where:

n is the required sample size

s is the initial standard deviation (30)

σ is the desired standard deviation (15)

Plugging in the values:

\(n = (30/15)^2\\n = 2^2\\n = 4\)

Therefore, to cut the standard deviation of the sample mean from 30 to 15, you would need to increase the sample size from 25 to 4 times the initial size. This means you would need a sample size of 100.

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Answer:

A

Step-by-step explanation:

If you simplify, you get: 3q+3-4

Simplify more: 3q-1

most simplified.

PS You get 3q+3 by using the distributive property

The value that is added on the left-hand side to make the equation equal is -1/100.

In mathematics, an expression is a group of numbers and operations. The components of a mathematical expression that perform an operation are as follows: multiplication, division, addition, and subtraction.

Given [1/-2  - 3/4  of -8/15],

to add a number so the sum equals the product of -7/50 and 11/14

let the number be x

according to the question,

[1/-2  - 3/4  of -8/15] + x = -7/50*11/14

taking LHS

[1/-2  - 3/4  of -8/15] = -1/2 - (3(-8)/60)

[1/-2  - 3/4  of -8/15] = -1/2 + 24/60

[1/-2  - 3/4  of -8/15] = (-30 + 24)/60

[1/-2  - 3/4  of -8/15] =-6/60 = -1/10

RHS

-7/50*11/14 = -77/700 = -11/100

substitute the values

[1/-2  - 3/4  of -8/15] + x = -7/50*11/14

-1/10 + x = -11/100

x = -11/100 + 1/10

x = (-11 + 10)/100

x = -1/100

Hence -1/100 is added to make the equation equal.

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To find the polar coordinates (r, θ) corresponding to the Cartesian coordinates (-6, 6), we can use the following formulas:

r = √(x² + y²)

θ = arctan(y / x)

(a) For the given point (-6, 6):

x = -6

y = 6

First, let's find the value of r:

r = √((-6)² + 6²) = √(36 + 36) = √72 = 6√2

Next, let's find the value of θ:

θ = arctan(6 / -6) = arctan(-1) = -π/4 (since the point lies in the third quadrant)

Therefore, the polar coordinates of the point (-6, 6) are (6√2, -π/4).

(b) For r > 0 and 0 ≤ θ < 2:

In this case, the polar coordinates will remain the same: (6√2, -π/4).

(c) For r < 0 and 0 ≤ θ < 2:

Since r cannot be negative in polar coordinates, there are no valid polar coordinates for r < 0 and 0 ≤ θ < 2.

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The missing Value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.

The missing value that, when multiplied by 5/3^4, gives the result of 5^4, we can set up the equation:

(5/3^4) * x = 5^4

To solve for x, we can simplify both sides of the equation. First, let's simplify the right side:

5^4 = 5 * 5 * 5 * 5 = 625

Now, let's simplify the left side:

5/3^4 = 5/(3 * 3 * 3 * 3) = 5/81

Now we have:

(5/81) * x = 625

To solve for x, we can multiply both sides of the equation by the reciprocal of 5/81, which is 81/5:

(81/5) * (5/81) * x = (81/5) * 625

On the left side, the fraction (81/5) * (5/81) simplifies to 1, leaving us with:

1 * x = (81/5) * 625

Simplifying the right side:

(81/5) * 625 = 13125

Therefore, the missing value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.

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Answer:

5 StartRoot 10 EndRoot

Step-by-step explanation:

we know that

The legs of a 45°-45°-90° triangle are congruent

Let

x ---->  the length of one leg of the triangle

Applying the Pythagorean Theorem

where

c is the hypotenuse

a and b are the legs

we have

substitute

Simplify

5 StartRoot 10 EndRoot

The phrase that completes the sentence is "determined by."

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The gradient of a line which perpendicular to C is -3/2

The gradient of a line shows how steep it is. Gradient is also called the slope of a line.

Let's use the fact that the product of the gradients of two perpendicular lines is -1 to determine the gradient of a line perpendicular to line C.

We can determine the gradient of the line perpendicular to C if the gradient of line C is 2/3.

Take the negative reciprocal of the gradient, we have;

-3/2

Since the negative reciprocal of 2/3 is -3/2.

Therefore, the gradient of the line perpendicular to C is -3/2.

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Answer: 75.4

Step-by-step explanation:

The equation for the circumference for a circle is diameter times pi. 24 times pi is 75.3982236862. Rounded to the nearest tenth would make it 75.4.

The final velocity and displacement after 5 seconds are 19.3m/s and 59m and the acceleration is 0.7m/s²

The equations of motion are a set of mathematical equations that describe the motion of an object in terms of its position, velocity, and acceleration. These equations are used in physics, engineering, and other fields to predict and analyze the motion of objects.

The equations are;

v = u + at ...eq(i)

v² = u² + 2as ...eq(ii)

s = ut + 1/2 at² ...eq(iii)

2.

From the first equation of motion;

v = u + at

v = 4.3 + 3(5)

v = 19.3m/s

The displacement after 5 minutes will be

From third equation of motion;

s = ut + 1/2 at²

s = 4.3 * (5) + 1/2(3)(5)²

s = 59m

1)

distance = 1.0 * 10²m

time = 12.11s

acceleration = ?

Acceleration = velocity / time

velocity = distance / time

velocity = 1.0×10² / 12.11

velocity = 8.23m/s

acceleration = velocity / time

acceleration = 8.23 / 12.11

acceleration = 0.7 m/s²

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Answer:

Step-by-step explanation:

Alske

Answer:

Math: Deals 6710 - 9506 fire damage and combustion to the second weakest enemy and 2 random enemies.

Step-by-step explanation:

wra

Answer:

20 centimeters

Step-by-step explanation:

Karina's aquarium can hold 80 liters,which is equal to 80,000cm³.The base measure 100cm by 40cm.What is the height of the aquarium in centimeters?Round your answer to the nearest hundredth.

The shape of an Aquarium = Rectangular Prism

Volume of the rectangular prism = L × Width × Height

Volume = 80 Liters = 80,000 cm³

Base = 100 cm × 40 cm

Height of the aquarium is calculated as:

80,000cm³ = 100 cm × 40 cm × h

h = 80,000cm³/100 cm × 40 cm ×

h = 20 cm

The height of the aquarium = 20cm

Answer:

20 centimeters

Step-by-step explanation:

Answer:

It’s B

Step-by-step explanation:

they are a linear pair, when added up,the equal 180, so u would subtract 56 from 180 to get the answer.

ur wlcm :)

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