a researcher with a sample of 100 university students assigns half of them to write about a traumatic event and the other half write about a neutral event. this is an example of .

Answer:

196π

Step-by-step explanation:

14^2=196

196×π

=196π

Answer:

The answer is A and B

Step-by-step explanation:

y-y=m(x-x)

y-(-3)=m(x-(-5))

y+3=0.4(x+5)

y-y=m(x-x)

y-1=0.4(x-5)

The maximum number of of bouquets the gardener could have made is 3

Total = 45

let

Roses = 4x

Tulips = 4x + 15

Total = roses + daffodils + tulips

45 = 4x + x + (4x + 15)

45 = 5x + 4x + 15

45 = 9x + 15

45 - 15 = 9x

30 = 9x

x = 30/9

x = 3.33333333333333

Approximately,

x = 3

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1. For Joshua's triangle; the distance of the green side of the triangle d₃ is 5.

2. For Murney's triangle, the perimeter of the triangle is 12.

3. For Grace, Abby and Chris's triangle, the perimeter of the triangle is 5 + √17 +  4√2.

4. For Chloe's triangle, the perimeter of the triangle is 11 + √65.

The distance of the triangles is calculated as follows;

For Joshua's triangle;

The length of d₁, d₂, and d₃ is calculated as follows;

d₁ = √ [(3 - 2)² + (2 - 0)²] = √5

d₂ = √ [(-1 - 3)² + (4 - 2)²] = 2√5

d₃ = √ [(-1 - 2)² + (4 - 0)²] = 5

The distance of the green side of the triangle d₃ = 5

For Murney's triangle, the perimeter of the triangle is calculated as;

BC = √ [(4 - 4)² + (6 - 2)²] = 4

AC = √ [(1 - 4)² + (2 - 2)²] = 3

AB = √ [(4 - 1)² + (6 - 2)²] = 5

Perimeter = 4 + 3 + 5 = 12

For Grace, Abby and Chris's triangle, the perimeter of the triangle is calculated as;

AC = √ [(-3 - 2)² + (2-2)²] = 5

BC = √ [(1 - 2)² + (2 + 2)²] = √17

AB = √ [(1 + 3)² + (2 + 2)²] = 4√2

Perimeter = 5 + √17 +  4√2

For Chloe's triangle, the perimeter of the triangle is calculated as;

AC =  √ [(-3 - 4)² + (2-2)²] = 7

BC =  √ [(4 - 4)² + (6-2)²] = 4

AB =  √ [(4 + 3)² + (6-2)²] = √65

Perimeter = 7 + 4 + √65 = 11 + √65

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Answer:

The length of the equal sides of the isosceles triangle with a perimeter of 34 cm perimeter is 12 cm

The length of the equal sides of the isosceles triangle with a perimeter of 82 cm perimeter is 36 cm

The base length of both triangles is 10 cm

Step-by-step explanation:

The given parameters are;

The base length of the triangles are equal

The base length of one of the triangle = The base length of the other triangle

The equal sides of one of the triangles = 3 × The length of the equal sides of the other

The perimeter of the triangles are; 34 cm and 82 cm

Let 'b' represent the base length of each triangle, let 'a' represent the length of an equal side of the smaller triangle with a perimeter of 34 cm and let 'c' represent the length of an equal side of the larger triangle with a perimeter of 82 cm

For the smaller triangle, we have;

b + 2·a = 34..(1)

For the other triangle;

b + 2·c = 82...(2)

Given that the side length of the larger triangle are larger than those of the smaller triangle, and that the side length of the larger triangle is 3 times the side length of the smaller triangle, we get;

c = 3·a

By the substitution method, from equation (2) we get;

b + 2·c = b + 2 × 3·a = b + 6·a = 82

∴ b + 6·a = 82...(3)

Subtracting equation (1) from equation (3) gives;

b + 6·a - (b + 2·a) = 82 - 34 = 48

b - b + 6·a - 2·a = 48

4·a = 48

a = 48/4 = 12

The length of the equal sides of the 34 cm perimeter (smaller) isosceles triangle, a = 12 cm

From c = 3·a, and a = 12, we get;

c = 3 × 12 = 36

The length of the equal sides of the 82 cm perimeter (larger) isosceles triangle, c = 36 cm

From equation (1), we get;

b + 2·a = 34

∴ b + 2 × 12 = 34

b = 34 - 2 × 12 = 10

The base length of both triangles, b = 10 cm

Answer:

linear equation

Step-by-step explanation:

i don't know the explanation step by step

Answer:

21 minutes

Step-by-step explanation:

Given the following :

Taking CITY STREET:

Time taken to drive to nearest bowling alley = 45 minutes = 45/60 = 0.75 hours

Speed of travel = 30 miles per hour

Taking FREEWAY:

speed of travel = 65miles per hour

If the distance to bowling alley is the same along both routes, The time taken along FREEWAY will be :

.

Distance to bowling alley taking city center :

Speed = distance / time

30 mph = distance / 0.75 hour

Distance = 30 × 0. 75 = 22.5 miles

Since distance is the same :

Time taken along FREEWAY :

Time taken = distance / speed

Time taken = 22.5 / 65 = 0.3461538 hour

Converting to minutes :

0.3461538 × 60 = 20.769 minutes

= 21 minutes ( to the nearest minute)

Question 1: x-intercept is: 2; y-intercept is: -5

Part A: x-intercept is: 30; y-intercept is: 45

Part B: In the context of the necklace and bracelet chain purchases, the best interpretation of the x-intercept is: B. If Chloe purchases 30 necklace chains, then she can purchase 0 bracelet chains.

The x-intercept is the point on the x-axis, where the line intercepts the x-axis. At this point, the corresponding value of y is usually zero (0).

On the other hand, the y-intercept is the point on the y-axis, where the line intercepts the y-axis. At this point, the corresponding value of x is usually 0.

Question 1:

x-intercept is: 2

y-intercept is: -5

Part A:

x-intercept is: 30

y-intercept is: 45

Part B:

In the context of the necklace and bracelet chain purchases, the best interpretation of the x-intercept is: B. If Chloe purchases 30 necklace chains, then she can purchase 0 bracelet chains.

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Answer:

well the answer is... and then you... which leads to.....

Step-by-step explanation:

This shifts the graph down 1 unit, reflects over the x axis, then vertically dilates by a factor of 2.

=============================================================

Explanation:

Refer to the figures below. The screenshots may be a bit on the big side, so brainly might attempt to reduce the size. To fix this, click on the magnifying glass to get a better look. There are 4 images in total.

Figure 1 is the original graph your teacher gave you.

Figure 2 shows the translation of the parabola 1 unit down. This aligns the right piece of the red parabola to the green V curve. This junction location is (1,0).

Afterward, in figure 3, we reflect the parabola over the x axis to have the left endpoint of the parabola (-3,8) move to (-3,-8). Unfortunately the (-3,-8) doesn't match up with the right most piece of the blue cubic curve.

Luckily, a quick fix is to double the y coordinate from -8 to -16 and the two pieces match perfectly. The other junction is (-3,-16). This is shown in figure 4.

To summarize, we did these transformations in the order presented.

--------------

Now to shift down 1 unit, we subtract 1 from each g(x) output.

Therefore, we go from g(x) to g(x)-1

Reflect over the x axis to get -(g(x) - 1) = -g(x) + 1

Lastly, we double everything when applying the dilation mentioned to end up with the final answer:  -2*g(x) + 2

You can use a tool like GeoGebra to check your work. It's the app I used to make the figures shown below.

The mean value of the radius (r) at which you would find the electron, given the H atom wave function is 100(r), is 0.

The wave function of an electron in the hydrogen atom, denoted by Ψ, describes the probability distribution of finding the electron at different positions around the nucleus. In this case, the given wave function is 100(r), where r represents the radius.

To calculate the mean value of the radius, we need to evaluate the integral of r multiplied by the absolute square of the wave function, integrated over all possible values of r. However, the wave function 100(r) does not provide a valid description of the hydrogen atom's electron distribution. The wave function should be normalized, meaning that the integral of the absolute square of the wave function over all space should equal 1. In this case, the given wave function lacks normalization.

Since the wave function is not properly normalized, we cannot accurately calculate the mean value of the radius. Without normalization, the probability distribution described by the wave function does not provide meaningful information about the electron's position.

In summary, based on the given wave function, the mean value of the radius cannot be determined without proper normalization of the wave function. A properly normalized wave function is necessary to obtain accurate information about the electron's position.

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let's convert the mixed fraction to improper fraction first.

\(\stackrel{mixed}{3\frac{5}{6}}\implies \cfrac{3\cdot 6+5}{6}\implies \stackrel{improper}{\cfrac{23}{6}} \\\\[-0.35em] ~\dotfill\\\\ 3\frac{5}{6}\times 12\implies \cfrac{23}{6}\times 12\implies \cfrac{23}{6}\times \cfrac{12}{1}\implies \cfrac{23}{1}\times \cfrac{12}{6}\implies 23\times 2\implies \text{\LARGE 46}\)

To calculate the concentrations of all species present in a 0.72 M NH3 solution (Kb=1.8×10−5), we can use the principles of the equilibrium expression for the dissociation of NH3 in water.

NH3 (ammonia) is a weak base that reacts with water to form NH4+ (ammonium) and OH- (hydroxide) ions. The equilibrium expression for this reaction can be written as:

NH3 + H2O ⇌ NH4+ + OH-

Since the initial concentration of NH3 is 0.72 M, we can assume that x mol/L of NH3 will dissociate to form x mol/L of NH4+ and OH-. Therefore, the concentrations of NH4+ and OH- will also be x mol/L.

To calculate the value of x, we can use the Kb expression, which relates the equilibrium constant to the concentrations of the species. In this case, Kb = [NH4+][OH-]/[NH3]. Substituting the known values, we have:

1.8×10−5 = x * x / (0.72 - x)

Solving this equation will give us the value of x, which represents the concentration of NH4+ and OH-. Finally, we can express the concentrations of NH3, NH4+, and OH- using two significant figures, separated by commas, based on the calculated value of x.

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The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.

The two most important parts of a vehicle in preventing traction loss are the tires and the traction control system.

Tires: Tires are the primary point of contact between the vehicle and the road surface. The quality and condition of the tires greatly influence traction. Tires with good tread depth and appropriate tread pattern are essential for maintaining grip on the road. Tread depth helps to channel water, snow, or debris away from the tire, preventing hydroplaning or loss of traction. Additionally, tire pressure should be properly maintained to ensure even contact with the road. Choosing tires suitable for the specific driving conditions, such as all-season, winter, or performance tires, is crucial for optimal traction and handling.

Traction Control System: The traction control system is a vehicle safety feature that helps prevent the wheels from slipping or spinning on low-traction surfaces. It uses various sensors to monitor the speed and rotation of the wheels. If the system detects a loss of traction, it will automatically reduce engine power and apply braking force to the wheels that are slipping. By modulating power delivery and braking, the traction control system helps maintain traction and prevent wheel spin, especially in challenging conditions like slippery roads or during quick acceleration.

The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.

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Answer:

associative property of multiplication illustrate2+3)+4=2+(3+4)

The standard normal distribution  becomes smaller.

What is standard deviation?

As the number of degrees of freedom for a t distribution increases, the difference between the t distribution and the standard normal distribution

becomes smaller.

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Answer:

Minimum, Q1, median, Q3, maximum

Step-by-step explanation:

The five number summary include :

Minimum valuewhich is the least value in the dataset

The first quartile which represents the lower 25% of the distribution

The median, marks up to 50% of the distribution

The Upper quartile, Q3, represents up to 75% of the distribution

The maximum value is the greatest Or largest number in the distribution.

Hence, arranging in order of least to greatest, well have ;

Minimum, Q1, median, Q3, maximum

Total capacity the tower holds 1.034 x 10^5  gallons of water

One tower holds 8.4 x 10^3 gallons of water

Other tower holds 9.5 x 10^4 gallons of water

The combined water capacity of the two towers in scientific notation is,

Total capacity the tower holds = 9.5 x 10^4 + 8.4 x 10^3

    = 9.5 x 10^4 + 0.84 x 10^4

    = 10.34 x 10^4

    = 1.034 x 10^5

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Answer: 28

Step-by-step explanation:

28 is thhe missing number

The value of the expression tan(-5π/6) can be determined using trigonometric properties and  identities.

First, let's consider the unit circle. The angle -5π/6 is measured in the clockwise direction from the positive x-axis. In this position, the reference angle is π/6, which is the positive angle formed with the x-axis.

The tangent function (tan) is defined as the ratio of the sine (sin) of an angle to the cosine (cos) of the angle. Using the reference angle π/6, we can determine the value of tan(π/6) as the ratio of sin(π/6) to cos(π/6). sin(π/6) equals 1/2, and cos(π/6) equals √3/2. Therefore, tan(π/6) is (1/2) divided by (√3/2), which simplifies to 1/√3 or √3/3. Since tan is an odd function, tan(-5π/6) is equal to the negative of tan(5π/6). Therefore, tan(-5π/6) has the same value as -√3/3.

In conclusion, the value of tan(-5π/6) is -√3/3, which means that the tangent of the angle -5π/6 is negative and equal to the ratio of -√3 to 3.

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The measure of angle DAB in the given quadrilateral can be calculated as: 109°.

To find the measure of an angle in a quadrilateral, you need to use the fact that the sum of all angles in a quadrilateral is always equal to 360 degrees.

Using the above fact stated, we can add up the three known angles in the given quadrilateral and then subtract it from 360 degrees to find the measure of angle DAB.

Thus, we have:

m<DAB = 360 - (90 + 97 + 64)

m<DAB = 360 - 251

m<DAB = 109°

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Answer:

See below

Step-by-step explanation:

Basically, the associative property states that when an expression has three terms, they can be grouped in any way to solve that expression.

For example, \((8*4)*5=8*(4*5)\) if you're doing multiplication, or \((8+4)+5=8+(4+5)\), if you're doing addition.

Answer:

The x = 132

Step-by-step explanation:

I did this 10/10/2020 and i got a good grade

A hexagon is a six sided figure and the shape in this picture has six sides.

The sum of the interior angles of a hexagon is 720 degrees.

720 = x + 108 + 113 + 132 + 75 + 160

Combine like terms.

720 = 588 + x

Subtract 588 from both sides.

132 = x

Answer:

3) 7:8  7 to 8   4) 40/100 = 2/5   5) 60 mph   6) 300 kph   7) Jane  8) Jon can go faster

Step-by-step explanation:

5) 120/2 =60

6) 900/3 =300

7) Tim =50/5= $10 an hour

Jane= 24/2 =$12 an hour

Answer:

look at explanation, oh and pls give brainlist

Step-by-step explanation:

3.   7:8  \(\7\frac{7}{8}\) ,7 to 8

4.  \(\frac{100 l}{40 w}\), \(\frac{25}{10}\), \(\frac{50}{20}\)

5.  \(\frac{2 hrs}{120 m}\), unit rate= 60 miles per hour, \(\sqrt[2]{120}\)=60

6.  \(\sqrt[3]{900}\)= 300, 300x3=900, unite rate= 300km per hour

7.  \(\frac{50}{5}\)=\(\frac{10\\}{1}\), unit rate for Tim= $10 for 1 hour, \(\frac{24}{2}\)=\(\frac{12}{1}\), unit rate for Jane= $12 for 1 hour, Jane has the higher rate of pay.

8. \(\frac{65}{4}\)=\(\frac{16.25}{1}\) , \(\sqrt[4]{65}\)= 16.25, unit rate for Jon is 16.25ths of a pushup per minute.

\(\frac{45}{3}\)=\(\frac{15}{1}\), \(\sqrt[3]{45}\)=15, unit rate for Paul is 15 pushups per minute.

Jon can do more pushups in 1 minute

Answer:

Amy is (21.6 - 14.4) 7.2 km/hr faster than Bill.

Distance = speed / time

Amy's speed

40 minutes = 40/60 = 2/3 hours

14.4 = speed / 2/3

Speed = 14.4 * 3/2 = 21.6 km/ hr

Bill speed

60 minutes = 1 hour

Speed = 14.4 km / hr.

Plugging these values into the quotient rule formula, we get:

h'(0) is equal to 10/49.

The quotient rule states that if h(x) = f(x)/g(x), then h'(x) = [f'(x)g(x) - g'(x)f(x)]/\([g(x)]^{2}\). In this case, we want to find h'(0), which means evaluating the derivative of h(x) at x = 0.

Using the quotient rule, we can substitute the given values into the formula. We have f(0) = 8, f'(0) = 6, g(0) = 7, and g'(0) = 4.

Plugging these values into the quotient rule formula, we get:

h'(0) = (f'(0)g(0) - g'(0)f(0))/\([g(0)]^{2}\)

= (67 - 48)/(49) = (42 - 32)/49 = 10/49

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As the law of supply and demand states, there is an effect on the price of a product depending on its availability.

If there is a low supply and a high demand, there is an increase in price and vice versa.

Last 2012, there was a virus which infected millions of chicken. It was known as Avian influenza or bird flu. It resulted to scarcity of eggs.

As the law of supply and demand states, there is an effect on the price of a product depending on its availability.

For example we can use water. If a product becomes scarce its price would increase due to supply in demand.

If drinkable water became scarce its price would be greatly increased to its need and being in extreme demand.

In short,  if there is a low supply and a high demand, there is an increase in price and vice versa.

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this answers is 8 am I right

The probability that represents the likelihood of a single event occurring by itself is called marginal probability.

Marginal probability refers to the probability of an individual event happening independently without considering any other events. It focuses on a single variable or outcome without considering the relationship or dependencies with other variables.

To calculate marginal probability, you divide the number of times the specific event occurs by the total number of observations. For example, if you have a bag of marbles with different colors and you want to find the marginal probability of drawing a red marble, you would count the number of red marbles and divide it by the total number of marbles in the bag.

Marginal probability is often used when working with categorical variables or when studying the probability of a single event without considering any other variables or conditions. It provides a fundamental understanding of the likelihood of an event occurring in isolation, independent of any other factors.

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C. It is not in the same units as the original data is a disadvantage of the range as a measure of dispersion.

The range is a measure of dispersion that calculates the difference between the maximum and minimum values in a dataset. While the range is a simple and easy-to-calculate measure, it has some limitations. One significant disadvantage of the range is that it does not consider the values in between the maximum and minimum values. This means that two datasets with the same range can have very different distributions.

Another disadvantage of the range is that it is affected by extreme values or outliers in the dataset. If there are extreme values in the dataset, they can cause the range to be overestimated and can distort the measure of dispersion. This can make it difficult to interpret the range as a measure of variability.

Additionally, the range is not in the same units as the original data. This can make it challenging to compare the range across different datasets that have different units of measurement. For example, the range of a dataset measured in kilograms cannot be compared directly to the range of a dataset measured in meters.

Therefore, the disadvantage of the range as a measure of dispersion is that it is not in the same units as the original data.

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Answer:

A

Step-by-step explanation: