Paola wants to measure the following dependent variable: happiness. How could you measure happiness in a way:
a) physiological?
b) observation?
c) self-report? Search for a scale that already exists.
What is the scale called? :
APA citation:_____

Answer:

7 minutes a day I think ksiss

Answer:

y=0x+2 meaning the slope is equal to 0

Step-by-step explanation:

If you think about this question you'll see that our two points have the same y coordinate

This means that the slope is equal to 0

so we have

y=0x+b  

If we plug in -3 for x and set the equation equal to 2 we can find b

0+b=2

b=2

so we have

0x+b=y

Answer:

three half.

Step-by-step explanation:

short and simple

Answer:

D. 3/2                      

Step-by-step explanation:

I got the question right on the quiz

a) the dimension of its column space is also 2. b) the rank of A is 2. c) the nullity of matrix A is 1. d) the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

(a) The dimension of the row space of a matrix is equal to the dimension of its column space. So, if the dimension of the row space of matrix A is 2, then the dimension of its column space is also 2.

(b) The rank of a matrix is defined as the maximum number of linearly independent rows or columns in the matrix. Since the dimension of the row space of matrix A is 2, the rank of A is also 2.

(c) The nullity of a matrix is defined as the dimension of the null space, which is the set of all solutions to the homogeneous equation Ax = 0. In this case, the matrix A is a 3 x 3 matrix, so the nullity can be calculated using the formula:

nullity = number of columns - rank

nullity = 3 - 2 = 1

Therefore, the nullity of matrix A is 1.

(d) The dimension of the solution space of the homogeneous system Ax = 0 is equal to the nullity of the matrix A. In this case, we have already determined that the nullity of matrix A is 1. Therefore, the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

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The value of the angle θ₁, located in Quadrant IV with sin(θ₁) = -13/85, is such that cosθ₁ = 84/85.

In the given scenario, the angle θ₁ is located in Quadrant IV and sin(θ₁) is given as -13/85. We can use the trigonometric identity to determine the value of cosθ₁.

Using the Pythagorean identity sin²θ + cos²θ = 1, we can substitute sin(θ₁) = -13/85:

(-13/85)² + cos²θ₁ = 1

Simplifying:

169/7225 + cos²θ₁ = 1

cos²θ₁ = 1 - 169/7225

cos²θ₁ = (7225 - 169)/7225

cos²θ₁ = 7056/7225

Taking the square root of both sides, we get:

cosθ₁ = √(7056/7225)

Since the angle θ₁ is located in Quadrant IV where cosθ₁ is positive, the value of cosθ₁ is:

cosθ₁ = √(7056/7225)

Simplifying the square root:

cosθ₁ = 84/85

Therefore, the value of the angle cosθ₁ is 84/85.

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The complete question is:

The angle θ₁ is located in Quadrant IV and  sin(θ₁) = -13/85. What is the value of the angle cosθ₁?

To find the intersection point between the curve y = tan(x) and the line y = 7x, we can use Newton's method. Newton's method is an iterative numerical method used to approximate the root of a function.

We need to find the x-value where the curves intersect, so we can set up the equation tan(x) - 7x = 0. We want to find a solution between x = 0 and some unknown value denoted as X.

Using Newton's method, we start with an initial guess x_0 for the solution and iterate using the formula:

x_(n+1) = x_n - f(x_n) / f'(x_n),

where f(x) = tan(x) - 7x and f'(x) is the derivative of f(x).

We continue this iteration until we reach a desired level of accuracy or convergence. The resulting value of x will be the approximate intersection point between the two curves.

Please note that without specific values or range for X or an initial guess x_0, it is not possible to provide a specific numerical answer. However, you can apply Newton's method using an initial guess and the given function to find the approximate intersection point.

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Answer:

15s=350+100

15s=450

s=450/15

s=30

Hope it helps:-)

The situation described can be modeled by a linear function.

In a linear function, the relationship between the variables is constant and can be represented by a straight line on a graph. In this case, as Sarah's visits to the chiropractor increase, her fees decrease by a fixed amount of $5 each time. This means that there is a constant rate of change between the number of visits and the corresponding decrease in fees.

Let's say the number of visits is represented by the variable 'x' and the fees by the variable 'y'. The relationship can be expressed as:

y = mx + b

Where 'm' represents the rate of change (in this case, -5 because the fees decrease by $5) and 'b' represents the initial fee or the y-intercept.

Therefore, the situation of Sarah's fees decreasing by $5 each time she visits the chiropractor can be modeled by a linear function.

The slower speed is 20 miles per hour and the higher speed is 40 miles per hour.

time is calculated using the formula

\(Time=\frac{Distance}{Speed}\)

In the given question

driver drove 50 miles at slower speed.

Let the slower speed be x miles per hour.

So the time taken to cover 50 miles at slower speed = \(\frac{50}{x}\)    ...(i)

driver drove 300 miles at faster speed.

given speed is 20 miles per hour faster i.e. speed = (x+20) miles per hour So the time taken to cover 300 miles at (x+20) mph speed = \(\frac{300}{(x+20)}\)....(ii)

According to the question

the time spent driving at the faster speed was thrice that spent driving at the slower​ speed.

From equation (i) and (ii) we get

\(3*(\frac{50}{x} )=\frac{300}{x+20}\)

\(\frac{150}{x} =\frac{300}{x+20}\)

Cross Multiplying we get

\(150(x+20)=300x\\ \\ 150x+3000=300x\\ \\ 300x-150x=3000\\ \\ 150x=3000\\ \\ x=20\)

Slower speed = x = 20mph.

Faster speed = (x+20) = 20+20 = 40mph.

Therefore , The slower speed is 20 miles per hour and the higher speed is 40 miles per hour.

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Answer:

18.84

Step-by-step explanation:

The formula for circumference is 2(pi)r, I think. The radius is 3. 3 times 2 is 6. 6 times 3.14 is around 18, I think.

hope this helps

Answer:

A

Step-by-step explanation:

Based on the given information, the population of the Midwest industrial town decreased by 6,000 (210,000 - 204,000) in 4 years. If this trend continues for an additional 4 years, we can expect the population to decrease by another 6,000. Therefore, the projected population after an additional 4 years will be 198,000 (204,000 - 6,000).

To determine the future population of the Midwest industrial town, we can assume that the population will continue to decrease at the same rate over the next 4 years. To do this, we can calculate the annual rate of decrease by dividing the total decrease by the number of years:

Annual rate of decrease = (210,000 - 204,000) / 4 = 1,500 people per year

We can then use this rate to estimate the population after 4 more years:

Population after 4 years = 204,000 - (1,500 x 4) = 198,000

Therefore, if the trend of decreasing population continues at the same rate, the population of the Midwest industrial town will be approximately 198,000 after an additional 4 years.
Hi! Based on the given information, the population of the Midwest industrial town decreased by 6,000 (210,000 - 204,000) in 4 years. If this trend continues for an additional 4 years, we can expect the population to decrease by another 6,000. Therefore, the projected population after an additional 4 years will be 198,000 (204,000 - 6,000).

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The product of a rational and an irrational number can be either rational or irrational, depending on the specific numbers involved.

To illustrate this, let's consider an example:

Let's say we have the rational number 2/3 and the irrational number √2.

Their product would be (2/3) * √2.

In this case, the product is irrational.

The square root of 2 is an irrational number, and when multiplied by a rational number, the result remains irrational.

However, it's also possible to have a product of a rational and an irrational number that is rational. For example, if we consider the rational number 1/2 and the irrational number √4, their product would be (1/2) * 2, which equals 1. In this case, the product is a rational number.

Therefore, we cannot make a definitive statement that the product of a rational and an irrational number is always rational or always irrational. It depends on the specific numbers involved in the multiplication.

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The solution to the given differential equation 2xy(dy/dx) = y², with the initial condition y(2) = 3, is y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\).

To solve the given differential equation

2xy(dy/dx) = y²

We will use separation of variables and integrate to find the solution.

Start with the given equation

2xy(dy/dx) = y²

Divide both sides by y²:

(2x/y) dy = dx

Integrate both sides:

∫(2x/y) dy = ∫dx

Integrating the left side requires a substitution. Let u = y², then du = 2y dy:

∫(2x/u) du = ∫dx

2∫(x/u) du = ∫dx

2 ln|u| = x + C

Replacing u with y²:

2 ln|y²| = x + C

Using the properties of logarithms:

ln|y⁴| = x + C

Exponentiating both sides:

|y⁴| = \(e^{x + C}\)

Since the absolute value is taken, we can remove it and incorporate the constant of integration

y⁴ = \(e^{x + C}\)

Simplifying, let A = \(e^C:\)

y^4 = A * eˣ

Taking the fourth root of both sides:

y = (A * eˣ\()^{1/4}\)

Now we can incorporate the initial condition y(2) = 3

3 = (A * e²\()^{1/4}\)

Cubing both sides:

27 = A * e²

Solving for A:

A = 27 / e²

Finally, substituting A back into the solution

y = ((27 / e²) * eˣ\()^{1/4}\)

Simplifying further

y = (27 *  e⁽ˣ⁻²⁾\()^{1/4}\)

Therefore, the solution to the given differential equation with the initial condition y(2) = 3 is

y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\)

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Answer:

Option (C) : y = 6 / 11

Step-by-step explanation:

To find Horizontal Asymptote of the function, you need to see degree of of numerator and denominator.

Since, the degrees of the numerator and denominator are the same,

Horizontal Asymptote = leading coefficient of the numerator divided byleading coefficient of the denominator

Therefore,

Horizontal Asymptote = 6 / 11

Based on the information given, the money hat each person has will be:

Dave = $800

Ryan = $3200

Knick = $1000

Based on the information given, it should be noted that the following can be illustrated

Let Dave = x

Ryan = 4 × x = 4x

Knick = x + 200

Total amount = $5000

Therefore, the expression will be:

x + 4x + x + 200 = 5000

6x + 200 = 5000

Collect like terms

6x = 5000 - 200

6x = 4800

Divide

x = 4800 / 6

x = 8

Dave = x = $800

Ryan = 4 × x = 4x = 4 × $800 = $3200

Knick = x + 200 = $800 + $200 = $1000

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The claim that is being tested is: "the mean height of 12-year-old boys from high-income families is greater than 59.2 inches."

In order to test this claim, one could follow these steps:
1. Gather data: Collect a sample of 12-year-old boys from high-income families. 2. Calculate the sample mean: Compute the mean height of the boys in the sample. 3. Formulate a null hypothesis (H0): The mean height of 12-year-old boys from high-income families is equal to 59.2 inches.

4. Formulate an alternative hypothesis (H1): The mean height of 12-year-old boys from high-income families is greater than 59.2 inches. 5. Perform a hypothesis test: Using the appropriate statistical test, compare the sample mean to the population mean of 59.2 inches. 6. Draw conclusions: Based on the results of the hypothesis test, either reject the null hypothesis (supporting the alternative hypothesis) or fail to reject the null hypothesis (not enough evidence to support the alternative hypothesis).

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The claim that their mean height is greater than 59.2 in is the alternative hypothesis, which will be accepted or rejected based on the results of the data analysis.

The claim that he is testing is that the mean height of 12-year-old boys from high-income families is greater than 59.2 in. This claim is being tested by collecting data from a sample of 102 12-year-old boys and calculating their mean height. The hypothesis is that this mean height will be greater than 59.2 in, which is the assumed population mean height for all 12-year-old boys. The researcher is specifically interested in the height of boys from high-income families, so this is the subgroup that is being tested. The claim that their mean height is greater than 59.2 in is the alternative hypothesis, which will be accepted or rejected based on the results of the data analysis.

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a. The probability of at least one failure in the test is 18.55%.
b. Given two failures in the tensile strength test, the probability of exactly one failure in the dimensional test is 13.02%.

a. To find the probability of at least one failure in the tensile strength test, we need to calculate the complement of the event where all four forgings pass the test.

The probability of passing the tensile test for each forging is 1 - 0.05 = 0.95. Since the forgings are sampled independently, the probability of all four passing is 0.95^4 = 0.8145.

Therefore, the probability of at least one failure in the tensile strength test is 1 - 0.8145 = 0.1855 or 18.55%.

b. Given two failures in the tensile strength test, there are only two forgings remaining to be tested for dimensional properties.

The probability of a failure in the dimensional test is 0.07, and the probability of a success is 1 - 0.07 = 0.93. We can choose any two forgings from the remaining pool of two for testing, which gives us a combination of 2.

The probability of exactly one failure in the dimensional test is then calculated by multiplying the probability of one success and one failure by the number of possible combinations, resulting in 0.93 * 0.07 * 2 = 0.1302 or 13.02%.

Therefore, the probability of exactly one failure in the dimensional test is 13.02% given two failures in the tensile strength test.

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The solution is Option C , Option D.

The inequality equation is x > 5

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the equation will be

Substituting the values in the equation , we get

-3 ( 2x - 5 ) < 5 ( 2 - x )

On simplifying the equation , we get

-3 ( 2x ) - 3 ( -5 ) < 10 - 5x

-6x + 15 < 10 - 5x

Adding 6x on both sides of the equation , we get

x + 10 > 15

Subtracting 10 on both sides of the equation , we get

x > 5

Hence , the inequality equation is x > 5

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A circle has a center, radius, diameter and points in a plane. Depending on the context, the definition of a circle must contain at least one of the following terms:

Center

Radius

Diameter

Points in a plane

The complete question is as follows:-

James defines a circle as "the set of all the points equidistant from a given point." His statement is not precise enough

because he should specify that

A circle includes its diameter

The set of points is in a plane

A circle includes its radius

The set of points is collinear

A circle is a two-dimensional geometry on the plane having a center point and the circular line is drawn equidistant from the center point.

Based on James' definition of a circle, he needed to specify that the points are in a plane (option c).

As presented in his definition "the set of all the points" can be interpreted in several ways. Some of which are:

the set of points on a line

the set of points in a plane

the set of points in a region

Etc

Of these numerous possible interpretations, James should have specified that the set of points is in a plane

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Answer:

im thinking its B. Stretched vertically and shifted right

9514 1404 393

Answer:

  y = 27

Step-by-step explanation:

The altitude of a right triangle creates two triangles that are each similar to each other and to the larger right triangle. This means corresponding sides are proportional.

If we write the proportion for the legs, we get ...

  (long leg) / (short leg) = y/18 = 18/12

Multiplying by 18 gives us ...

  y = 18(18/12)

  y = 27

_____

Additional comment

The leg/leg proportion above gave rise to the relation ...

  altitude² = (left hypotenuse segment)×(right hypotenuse segment)

That is, the altitude is the geometric mean of the two hypotenuse segments it touches. 18 = √(12y)

__

There are two other "geometric mean" relationships in this triangle.

Each of these relationships is ultimately derived from the fact that all of the triangles are similar. You really only need to remember that these triangles are all similar and corresponding sides of similar triangles are proportional. (In some cases, it can be a bit of a shortcut if you remember the geometric mean relations.)

Given statement solution is :- By eliminating baths for a whole year and taking showers instead, you would save approximately 1,040 gallons of water.

To calculate the amount of water you would save by not taking baths for an entire year, we need to determine the total water usage for baths and showers separately.

Let's start by calculating the amount of water used for baths:

Number of baths per week = 1

Water used per bath = 40 gallons

Total water used for baths in a week = Number of baths per week × Water used per bath

= 1 bath/week × 40 gallons/bath

= 40 gallons/week

Now, let's calculate the amount of water used for showers:

Number of showers per week = 6 (since you take showers on the other six days)

Water used per shower = 10 gallons

Total water used for showers in a week = Number of showers per week × Water used per shower

= 6 showers/week × 10 gallons/shower

= 60 gallons/week

Next, we need to calculate the total water used for baths and showers in a year:

Total water used for baths in a year = Total water used for baths in a week × Number of weeks in a year

= 40 gallons/week × 52 weeks/year

= 2,080 gallons/year

Total water used for showers in a year = Total water used for showers in a week × Number of weeks in a year

= 60 gallons/week × 52 weeks/year

= 3,120 gallons/year

Finally, to determine the amount of water you would save by not taking baths for an entire year, subtract the total water used for baths in a year from the combined total water used for baths and showers in a year:

Water saved by not taking baths for a year = Total water used for baths and showers in a year - Total water used for baths in a year

= 3,120 gallons/year - 2,080 gallons/year

= 1,040 gallons/year

By eliminating baths for a whole year and taking showers instead, you would save approximately 1,040 gallons of water.

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Answer:

Step-by-step explanation:

what

Answer:

30.6452% decrease.

Step-by-step explanation:

\(\frac{10.75}{15.50} =69.354\)%

100-69.354 ≈ 30.6452%

The sequence {√2, √2√2, √2√2√/2,...} oscillates between the values √2 and 2, but both these values are equal to 2. Hence, the limit of the sequence is 2.

Let's analyze the given sequence. The first term is √2. In each subsequent term, we have the square root of the previous term multiplied by √2. Therefore, the second term is √2√2 = 2, the third term is √2√2√/2 = 2√2/2 = √2, and so on.

We notice that every second term of the sequence is equal to the first term, √2. Meanwhile, the remaining terms are twice the value of the first term, √2. This pattern continues indefinitely.

As n approaches infinity, the sequence alternates between √2 and 2. In other words, it oscillates between two values. However, we can see that both these values are equal to 2. Therefore, the limit of the sequence is 2.

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Based on the survey results, the probability that a randomly selected participant is an adult (event C) is 0.3575, while the probability that the participant prefers comedies (event D) is 0.405.

To find the probability of event C, we divide the number of adults by the total number of participants in the survey. Since the sample size is 400, let's say the number of adults in the survey is A. The probability of event C can be calculated as P(C) = A/400. However, the exact number of adults is not given in the question, so we cannot determine the exact value.

Similarly, to find the probability of event D, we divide the number of participants who prefer comedies by the total number of participants in the survey. Let's assume the number of participants who prefer comedies is D. The probability of event D can be calculated as P(D) = D/400. Again, the exact value of D is not provided, so we cannot determine the exact probability.

In summary, without knowing the exact number of adults and participants who prefer comedies, we cannot calculate the precise probabilities. However, the values provided in the question for P(C) = 0.3575 and P(D) = 0.405 are assumed to be the correct probabilities based on the given survey results.

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The required answer is considering both the EAC and P.W., it is recommended to replace the old equipment with the new equipment.

Given that:

For the old equipment:

Cost = $500,000

Annual Operating Cost = $58,000

Salvage Value = $20,000

Life = 8 years

For the new equipment:

Cost = $600,000

Annual Operating Cost = $15,000

Salvage Value = $150,000

Life = 10 years

To determine whether to replace the old equipment, we can compare the Equivalent Annual Cost (EAC) and Present Worth (P.W.) of both options.

Calculate the EAC and P.W. for both options and compare them.

Calculate EAC:

EAC = Cost + Annual Operating Cost - Salvage Value / Life

For the old equipment:

EAC (old) = $500,000 + $58,000 - $20,000 / 8

EAC (old) = $63,500

For the new equipment:

EAC (new) = $600,000 + $15,000 - $150,000 / 10

EAC (new) = $48,500

Calculate P.W. at MARR (Minimum Attractive Rate of Return) of 10%:

P.W. = -Cost + Annual Operating Cost - Salvage Value / (1+MARR)^Life

For the old equipment:

P.W. (old) = -$500,000 + $58,000 - $20,000 / (1+0.10)^8

P.W. (old) = $157,273.22

For the new equipment:

P.W. (new) = -$600,000 + $15,000 - $150,000 / (1+0.10)^10

P.W. (new) = $167,777.05

Based on the calculations, the EAC for the new equipment is lower than the EAC for the old equipment. Additionally, the P.W. for the new equipment is slightly higher than the P.W. for the old equipment.

Therefore, considering both the EAC and P.W., it is recommended to replace the old equipment with the new equipment.

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Answer:

$267.7

Step-by-step explanation: