A study published in 2010 showed that city dwellers have a higher risk of developing anxiety disorders and a higher risk of developing mood disorders than those who live in the country. A follow-up study published in 2011 used brain scans of city dwellers and country dwellers as they took a difficult math test.1 To increase the stress of the participants, those conducting the study tried to humiliate the participants by telling them how poorly they were doing on the test. The brain scans showed very different levels of activity in stress centers of the brain, with the urban dwellers having greater brain activity than rural dwellers in areas that react to stress.

Required:

a. Is the 2010 study an experiment or an observational study?
i. Experiment
ii. Observational study

b. Can we conclude from the 2010 study that living in a city increases a person's likelihood of developing an anxiety disorder or mood disorder?
i. Yes
ii. No

c. Is the 2011 study an experiment or an observational study?
i. Experiment
ii. Observational study

d. Can we conclude from the 2011 study that living in a city increases activity in stress centers of the brain when a person is under stress?
i. Yes
ii. No

Let's begin by expressing each person's age in writing using the information from the question:

According to the issue, Anna's age might be expressed as: x

x=25

John's age may be expressed as: x + 1 since he is Anna's age plus one.

John's Age=25+1 = 26

x+1 = 26

Tamara's age may be expressed as x - 2 since it is Anna's age substracted by two.

Tamara's Age = 25-2 =23

x-2 = 23

To know more About this Age Calculations

https://brainly.com/question/15054777

Answer:

D

Step-by-step explanation:

The value of the resistor needed in this scenario is approximately 1.2 ohms.

To find the value of the resistor in the given scenario, we can apply Ohm's Law, which states that the current (I) flowing through a resistor is directly proportional to the voltage (V) across it, and inversely proportional to the resistance (R) of the resistor.

Using Ohm's Law, we have the formula:

V = I * R

Where:

V is the voltage across the resistor (12 volts in this case),

I is the current flowing through the resistor (5 amps for each light, so a total of 10 amps),

R is the resistance of the resistor (which we need to find).

Rearranging the formula, we have:

R = V / I

Plugging in the values:

R = 12 volts / 10 amps

R = 1.2 ohms

Therefore, the value of the resistor needed in this scenario is approximately 1.2 ohms.

It's worth noting that this calculation assumes the lights are connected in parallel, as the current remains the same for each light. If the lights were connected in series, the total resistance would be the sum of the individual resistances, and the calculation would be different.

For more such question on resistor visit:

https://brainly.com/question/4703820

#SPJ8

Answer:

x = 25

y = 21

Step-by-step explanation:

4x + 10 + 3x - 5 = 180° because these two angles makes a straight line

7x + 5 = 180° subtract 5 from both sides

7x = 175° divide by 7

x = 25

2y + 28 + 4y + 26 = 180° because the sum of these angles is equal to a straight line's measure

6y + 54 = 180° subtract 54 from both sides

6y = 126 divide both sides by 6

y = 21

When a person places $48,800 in an investment account at an annual rate of 3.1% compounded continuously, using the formula, V = \(Pe^rt\), the amount of money (future value) after 13 years is $73,019.78.

Compounding refers to the process or interest system that computes periodic or continuous interest on both the principal and accumulated interest.

We can solve for the future value of an investment under continuous compounding using an online finance calculator as follows:

Using the formula V = \(Pe^rt\)

Principal (P) = $48,800.00

Annual Rate (R) = 3.1%

Compound (n) = Compounding Continuously

Time (t in years) = 13 years

Result:

V = $73,019.78

V = P + I where

P (principal) = $48,800.00

I (interest) = $24,219.78

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 3.1/100

r = 0.031 rate per year,

Solving the equation for V:

V = \(Pe^rt\)

V = \(48,800.00(2.71828)^(0.031)(13)\)

V = $73,019.78

Learn more about continuous compounding at https://brainly.com/question/30460031.

#SPJ1

Answer:

\(t = \frac{q}{ {r}^{2} } - s\)

Step-by-step explanation:

\(q = {r}^{2} (s + t) \\ \frac{q}{ {r}^{2} } = \frac{ {r}^{2} (s + t)}{ {r}^{2} } \\ \frac{q}{ {r}^{2} } = s + t \\ \frac{q}{ {r}^{2} } - s = t \\ \\ so \\ t = \frac{q}{ {r}^{2} } - s\)

Hope this helps you.

Let me know if you have any other questions :-):-)

Answer:

The growth model that represents the population of this city is not linear--it is exponential:

\(f(t) = 10000( {1.025}^{t} )\)

\(t = 0 \: represents \: 2010\)

Answer:

6.4 cm

Step-by-step explanation:

Area of triangle = 17.28 cm²

\(\frac{1}{2}*base *altitude = 17.28\\\\\frac{1}{2}*base*5.4=17.28\\\\base = 17.28*\frac{2}{5.4}\\\\base= 3.2*2\\\\base = 6.4 cm\)

Each number should be dragged to a box to complete the table as follows;

Kilometers     Meters

1                        1,000

2                       2,000

3                       3,000

5                       5,000

8                       8,000

In Science and Mathematics, a conversion factor can be defined as a number that is used to convert a number in one set of units to another, either by dividing or multiplying.

Generally speaking, there are one (1) kilometer in one thousand (1,000) meters. This ultimately implies that, a proportion or ratio for the conversion of kilometer to meters would be written as follows;

Conversion:

1 kilometer = 1,000 meters

2 kilometer = 2,000 meters

3 kilometer = 3,000 meters

4 kilometer = 4,000 meters

5 kilometer = 5,000 meters

6 kilometer = 6,000 meters

7 kilometer = 7,000 meters

8 kilometer = 8,000 meters

Read more on conversion factor here: brainly.com/question/28308386

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

a.

Number:      0,    1,       2,     3,      4,       5,    6,    7,     8

Frequency:  6,    12,     13,     15,     5,      3,     3,    1,    1

b. The proportion of the batches that have at most is 0.864

Step-by-step explanation:

a. The given data are;

2 1 2 3 1 1 3 2 0 5 3 3 1 3 2 4 7 0 2 3

0 4 2 1 3 1 1 3 4 1 2 3 2 2 8 4 5 1 3 1

5 0 2 3 2 1 0 6 4 2 1 6 0 3 3 3 6 2 3

The frequencies are;

x     fx  

0     6

1      12

2     13

3      15

4      5

5      3

6      3

7       1

8       1

The relative frequency are;

x     Rfx  

0   0.102

1   0.203

2   0.220

3   0.254

4   0.085

5   0.051

6   0.051

7   0.017

8   0.017

b. The proportion of the batches that have at most 4 is given as follows;

The number of the batches that have at most 4 = 6 + 12 + 13 + 15 + 5 = 51

Therefore, the proportion of the batches that have at most 4 = 51 / 59 = 0.864.

it looks correct to me

ps. i hate savvas realize

The term that can be added to the list so that the greatest common factor of the three terms  12h3 36h3, 12h6, is 48h5

A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, 12, 20, and 24 all share two characteristics.

The term that  can fit in to the list so the GCF is 12h3 would be 48h5, this is so because 48 is first divisible by 12  without any  fraction, and we can remove upon dividing 3 h's from this term as it contains a total of 5 h's.

Learn more about greatest common factor  at;

https://brainly.com/question/219464

#SPJ1

Using Pythagorean theorem, the length of the ladder is 10ft

In mathematical terms, if y and z are the lengths of the two shorter sides (also known as the legs) of a right triangle, and x is the length of the hypotenuse, the Pythagorean theorem can be expressed as:

x² = y² + z²

In the questions given, the only one we can use Pythagorean theorem to solve is the one with ladder since it's forms a right-angle triangle.

To calculate the length of the ladder, we can write the formula as;

x² = 8² + 6²

x² = 64 + 36

x² = 100

x = √100

x = 10

The length of the ladder is 10 feet

Learn more on Pythagorean theorem here;

https://brainly.com/question/343682

#SPJ1

The bearing from the phone to the transmitter is approximately 31 degrees to the east of the north direction.

To determine the bearing from the phone to the transmitter, we can use trigonometry.

The bearing is typically measured clockwise from the north direction.

Given that the transmitter is 13 km west and 21 km south of the phone, we can form a right triangle with the phone as the vertex angle.

The side opposite to the vertex angle represents the north-south direction, and the side adjacent to the vertex angle represents the east-west direction.

Using the tangent function, we can calculate the angle:

tangent(angle) = (opposite side) / (adjacent side)

tangent(angle) = 21 km / 13 km

Taking the inverse tangent (arctan) of both sides, we find:

angle = arctan(21 km / 13 km)

Evaluating this using a calculator, we find the angle to be approximately 58.57 degrees.

However, since the bearing is measured clockwise from the north, we need to subtract this angle from 90 degrees (which represents the north direction) to obtain the bearing:

bearing = 90 degrees - 58.57 degrees

Calculating this, we find the bearing to be approximately 31.43 degrees.

For similar question on transmitter.

https://brainly.com/question/29221269  

#SPJ8

Answer:

49 pints of water

Step-by-step explanation:

that's the answer to the question

Answer: 49 pints

Step-by-step explanation: if they had 11pints of the anti freeze. And they multiplied it by 7 to get to 77! Therefore you take the multiplier that they used which was 7 and us it to the 7 pints. So then you will be multiplying 7x7 which would be 49.

The maximum displacement is 5 centimeters.

The time required for one oscillation is π seconds.

The frequency is 1 / π Hz.

Equation to model the motion of the object is x(t) = 5 × cos(2t)

The maximum displacement from equilibrium can be determined by observing that the object is pulled down 5 centimeters from its rest position.

In simple harmonic motion, the amplitude represents the maximum displacement from equilibrium.

The period of oscillation is given as π seconds.

The period (T) is the time required for one complete oscillation.

The frequency (f) is the reciprocal of the period and represents the number of oscillations per unit time.

Thus, the frequency is the inverse of the period: f = 1 / T.

To model the motion of the object, we can use the equation for simple harmonic motion:

x(t) = A×cos(ωt + φ)

A = 5 centimeters (maximum displacement),

T = π seconds (period),

f = 1 / π Hz (frequency).

To find ω, we can use the relation ω = 2π / T:

ω = 2π / π = 2 radians/second.

The equation to model the motion of the object is:

x(t) = 5 × cos(2t)

To learn more on Displacement click:

https://brainly.com/question/29957379

#SPJ1

Answer:

approximately 3.16 repeated

Step-by-step explanation:

Given parameters:

Average fuel consumption of Penelope's car = 3miles per gallon

Amount of fuel used = 9.5 gallons

Unknown:

Distance of her drive = ?

Solution:

  Since her rate of fuel consumption per miles is known, we can simply solve for the distance she covers.

  Distance covered = Rate of fuel consumption per miles x amount of fuel used

Distance covered  = 3  x 9.5  = 28.5miles

The distance covered by Penelope's car is 28.5miles

Answer:

The answer is 4y

Step-by-step explanation:

6×2y-6×1-2×2y=6y

Answer:

4

Step-by-step explanation:

Answer:

B. 10x -40

Step-by-step explanation:

To rewrite the expression 5(2x-8) using the distributive property, we need to separate the expression inside the parentheses and then multiply the two expressions by 5. The answer is: 10x-40.

Given :

Two vectors :

\(v_1=-30i+bj+5k\\\\v_2=bi+2bj+bk\\\\\)

To Find :

The value of b for which the vectors are orthogonal .

Solution :

We know , two vectors are orthogonal when the are perpendicular to each other .

So , their dot product will be zero .

So ,

\(-30b+2b^2+5b=0\\\\2b^2-25b=0\\\\b(2b-25)=0\)

Therefore , for b =0 and \(b=\dfrac{25}{2}\) the vectors are orthogonal .

Hence , this is the required solution .

Rays: BD, AC, CA, AB. Lines:  AC

A line is a straight path of points that has no beginning or end

A ray is a portion of a line which has one endpoint and extends forever in one direction

Let's put the definitions:

Note: the arrow is an indication no endpoint

So we have ray BD (it starts from the dot at B and the arrow shows it extends forever  in the direction of D)

We have ray AC (it starts from the dot at A and the arrow shows it extends forever  in the direction of C)

We also have ray CA (it starts from the dot at C and the arrow shows it extends forever  in the direction of A)

Then ray AB (it starts from the dot at A and the arrow shows it extends forever  in the direction of B)

Then  line AC (it's bounded by 2 arrows, so it has no endpoint)

Therefore, the rays are BD, AC, CA and AB, and the line is AC. So the 1st option is the answer

Learn more about rays and lines on:

https://brainly.com/question/24217504

#SPJ1  

To find the number less than -5 subtract 9 units. To find the number greater than, add 9 units:

-5 - 9 = -14

-5 + 9 = 4

The numbers are : -14 and 4

Answer:SSS

Step-by-step explanation:

1.It is generally considered best practice for parents to discuss their intentions with their children and heirs to avoid confusion or misunderstandings.

2.As potential heirs, Brennan and Maureen had a responsibility to communicate with their parents about their estate planning and express any concerns or questions they had.

3.I have personally not had experience with a family member's will. However, I believe it is important to approach the topic of writing a will with sensitivity and empathy.

1. While it is understandable that Brennan and Maureen's parents may have wanted to keep their financial affairs private, their lack of communication may have caused confusion and disappointment for their children. Ideally, the parents should have discussed their estate planning with their children and explained the impact of the gifts on their final inheritance.

2. As potential heirs, Brennan and Maureen had a responsibility to communicate with their parents about their estate planning and express any concerns or questions they had. While it can be difficult to broach sensitive topics like death and inheritance, it is important for family members to have open and honest communication to prevent misunderstandings or disputes down the line.

3. It can be a difficult and emotional topic to discuss, but it is important to have open communication to ensure that everyone's wishes are respected and honored. It may be helpful to consult with a lawyer or financial advisor to ensure that the will is properly drafted and that everyone's needs are addressed.

To know more about financial advisor based topics here

https://brainly.com/question/29767702

#SPJ1

Answer: If the X is a multiplication symbol then it would be 75

Step-by-step explanation:

10(3^2)−(3)(3)−6

=(10)(9)−(3)(3)−6

=90−(3)(3)−6

=90−9−6

=81−6

=75

Answer:

100x2/3-3x/3-6

Step-by-step explanation:

Answer::

Explanation:

Given the sum:

First, remove the brackets:

Next, rearrange to bring like terms together, i.e. bring all the numbers without any letter (variable) attached together.

We can then add the like terms:

Using the diagram below:

This means that:

So, we then have:

The sum of the expression is:

Answer:

1. \(\frac{1}{4}\)

2.\(\frac{3}{8}\)

3.\(\frac{5}{8}\)

4.\(\frac{3}{4}\)

5.\(\frac{3}{8}\)

6. \(\frac{0}{8}\) or 0

7. \(\frac{5}{8}\)

Step-by-step explanation:

Count the amount of each number and put it over 8.

Simplify if possible.