The fraction is equivalent to which of the following decimal numbers?
0.2
0.1616
0.166
0.1 6

Answers

Answer 1

The fraction of 1/6 is equivalent to this following decimal number:

0.166.

How to convert a fraction to a decimal number?

A fraction is represented by the division of a term x by a term y, as follows:

Fraction = x/y.

The terms that represent x and y are given as follows:

x, which is the top term of the fraction, is called the numerator.y, which is the bottom term of the fraction, is called the denominator.

In this problem, the fraction is given as follows:

1/6.

1 is less than 6, hence the equivalent decimal can be obtained as follows:

0.10/6.

10 divided by 6 is one with a remainder by 4, hence 1.4/6 = 1.6667.

Thus the equivalent decimal representing the fraction 1/6 is given as follows:

1/6 = 0.1666.

Missing information

The problem asks for which decimal number the fraction 1/6 is equivalent.

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Related Questions

a soft drink machine outputs a mean of 2727 ounces per cup. the machine's output is normally distributed with a standard deviation of 33 ounces. what is the probability of filling a cup between 2121 and 3030 ounces? round your answer to four decimal places.

Answers

The probability of the soft drink machine filling a cup between 2121 and 3030 ounces with a normal distribution of the mean of 2727 ounces and a standard deviation of 33 ounces is 0.

It is given that the soft drink machine's output is normally distributed.

We know that for any normal distribution with X~(μ,σ)

f(z)= 1/σ√2π . e^(-(x - μ)²/2σ²),for all z ∈ R.

where  μ = The mean of the distribution

σ = the standard deviation of the distribution

Here

μ = 2727

σ = 33

We need to find

P(2121< x < 3030)

We know that the relation between a normal distribution and its Z-score is

P(a < X < b) = Φ((b- μ)/ σ)  -  Φ(a - μ/ σ)

here a = 2121  and  b = 3030

Therefore we get

P(2121< x < 3030) = Φ((3030- 2727)/ 33)  -  Φ(2121 - 2727/ 33)

= Φ((303)/ 33)  -  Φ(-606/ 33)

= Φ((303)/ 33)  -  Φ(-606/ 33)

= Φ((9.181818)  -  Φ(-18.363636)

From the Z score table, we know that the p-value will be

0 - 0

= 0

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Help please fast geometry surface area!

Help please fast geometry surface area!

Answers

Answer:

SA=2πrh+2πr2=2·π·12·3+2·π·122≈282.7cm2

What is the value of x?

What is the value of x?

Answers

Answer:

55

Step-by-step explanation:

As you can see, the length of the outer angle is 125. So, 180 - 125 = 55.

Which is a factor of: 2x^2-4x-6

Answers

2 I think it is not sure hope it helps you out

A Lake Tahoe Community College instructor is interested in the mean number of days Lake Tahoe Community College math students are absent from class during a quarter. X

Answers

1. The population she is interested in is (D) All Lake Tahoe Community College math students

2. X = number of days a Lake Tahoe Community College math student is absent In this case, X is an example of (A) Variable

3. The instructor’s sample produces a mean number of days absent of 3.5 days is an example of a (C) Statistic

1. The population the instructor is interested in is d. all Lake Tahoe Community College math students. This is because the instructor wants to know the mean number of days math students are absent from class during a quarter.

2. In this case, X is an example of a variable. A variable is a symbol or a letter that represents a quantity or characteristic that can vary or take on different values.

3. The value of 3.5 days, which represents the mean number of days absent from the instructor's sample, is an example of a statistic. A statistic is a numerical summary or measure calculated from a sample. In this case, the instructor calculated the mean from the sample of math students.

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The question is incomplete the complete question is :

A Lake Tahoe Community College instructor is interested in the mean number of days Lake Tahoe Community College math students are absent from class during a quarter. 50. What is the population she is interested in? a. all Lake Tahoe Community College students b. all Lake Tahoe Community College English students c. all Lake Tahoe Community College students in her classes d. all Lake Tahoe Community College math students 51. Consider the following: X = number of days a Lake Tahoe Community College math student is absent In this case, X is an example of a: a. variable. b. population. c. statistic. d. data. 52. The instructor’s sample produces a mean number of days absent of 3.5 days. This value is an example of a: a. parameter. b. data. c. statistic. d. variable

Four hundred million as a standard number
PLEASE HELP ME​

Answers

Answer:

400000000. it's ur ans it was very hard pls chat me

there will be 8 zeros

Answer:

400,000,000,

Step-by-step explanation:

Which is the Better Buy?½ pint of milk at $0.52, or 1 pint of milk at $0.99, or 1 quart of milk at $2.10, or ½ gallon of milk at $4.00.

Answers

Answer:

1 pint of milk

Step-by-step explanation:

1/2 pint -> .52X2=$1.04 for 1 pint

1 quart -> $2.10/2=$1.05 for 1 pint

there is 4 pints in 1/2 gallon so .99 X 4 = 3.96 for 1/2 gallon

hope this helps

Answer:

guest what you need milk

Step-by-step explanation:

PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!

PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!
PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!

Answers

Answer:

12.5cm

Step-by-step explanation:

the figure appears to be a circle centered around point B, wherein segment CB is a radiai and segment DF is a diameter.

radiai(radius plural) are known to be 1/2 the length of diameters

(1/2) × 25 = 12.5

Answer:

12.5

Step-by-step explanation:

DF=25

CB=12.5

because line CB is half of line DF

Which of these measures could not be the lengths of the sides of a right
triangle?
A. 4, 10,16
B. 5, 12, 13
C. 7, 24, 25
D. 8, 15, 17

Answers

Answer:

A

Step-by-step explanation:

How can you show that a + 2 = 5 is equivalent to a = 1

Answers

Step-by-step explanation:

You cant because a=3

Answer:

a+2=5 is not equivalent to a=1

in this situation a must equal 3 for the equation to be true.

Step-by-step explanation:

Is the value of the expression greater than 1, equal to 1, or less than 1?

(12/64)^0​

Answers

Answer:

The value of the expression \((12/64)^{0}\) is equal to 1

Step-by-step explanation:

You can get this answer two ways:

1. Simply plug in \((12/64)^{0}\) into your calculator exactly as it appears. You will get one, so therefore, the expression is equal to 1.

2. If you know your exponent rules, you'll know that anything to the power of 0 equals 1, so no matter the value in the parentheses, the answer will be equal to 1.

Hope this helps!

I WILL GIVE BRAINLIEST

Solve for m.
-3/7 equals 12

A. m= -28
B. m= -26
C. m= 26
D. m= 28

Answers

Hey there!

ASSUMING!

-3/7m = 12


IF SO!

DIVIDE -7/3 to BOTH SIDES

-7/3 * -3/7m = 12 * 7/3


CANCEL out: -7/3 * (-3/7) because it give you 1

KEEP: 12 * (-7/3) because it give you the m-value


NEW EQUATION: m = 12 * (-7/3)

SIMPLIFY IT!

m = -28


Therefore, your answer is: m = -28

(Option A)


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

In Exercises 19 22, evaluate the derivative by using the appropriate Product Rule, where
R1(t) = (t2,t3,t), r2 (t)= (e32, e22,et)
19. d/dt (r1(t). r2(t))
20 d/dt (t4r1 (t))

Answers


The derivative of t^4*r1(t) is (6t^5, 9t^6, t^4 + 4t^3).

To evaluate the derivative of r1(t).r2(t) using the Product Rule, we first need to find the derivatives of r1(t) and r2(t) separately. The derivative of r1(t) is (2t, 3t^2, 1) and the derivative of r2(t) is (0, 0, e^t). Now we can apply the Product Rule, which states that the derivative of two functions multiplied together is the first function times the derivative of the second function plus the second function times the derivative of the first function. So the derivative of r1(t).r2(t) is:

d/dt (r1(t).r2(t)) = r1(t) * (0, 0, e^t) + r2(t) * (2t, 3t^2, 1)

= (0, 0, t^2*e^t) + (2t*e^3, 2t*e^2, 2t*e^t)

= (2t*e^3, 2t*e^2, t^2*e^t + 2t*e^t)

20. Similarly, to evaluate the derivative of t^4*r1(t) using the Product Rule, we first need to find the derivatives of t^4 and r1(t) separately. The derivative of t^4 is 4t^3 and the derivative of r1(t) is (2t, 3t^2, 1). Now we can apply the Product Rule:

d/dt (t^4*r1(t)) = t^4 * (2t, 3t^2, 1) + r1(t) * 4t^3

= (2t^5, 3t^6, t^4) + (4t^5, 6t^5, 4t^3)

= (6t^5, 9t^6, t^4 + 4t^3)


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What is the measure of an angle that is the complement of angle K?

What is the measure of an angle that is the complement of angle K?

Answers

Answer:

Sum of complementary angles is 90

90-25=65°

Step-by-step explanation:

find the length of the spiraling polar curve r = 7 e^{4 \theta} from 0 to 2 \pi .

Answers

Answer: 46.619 units.

Step-by-step explanation:

To find the length of the spiraling polar curve, we need to use the formula:

L = int_a^b sqrt[r^2 + (dr/d\theta)^2] d\theta

where r is the polar curve, dr/d\theta is its derivative with respect to theta, and a and b are the limits of integration.

In this case, we have:

r = 7 e^{4 \theta}

dr/d\theta = 28 e^{4 \theta}

And the limits of integration are a = 0 and b = 2\pi.

Substituting these into the formula, we get:

L = int_0^(2\pi) sqrt[(7e^{4\theta})^2 + (28e^{4\theta})^2] d\theta

Simplifying this expression using algebra, we get:

L = int_0^(2\pi) 7e^{4\theta} sqrt[1 + 16e^{8\theta}] d\theta

This integral cannot be solved analytically, so we need to use numerical methods to approximate its value. One way to do this is to use a numerical integration technique such as the trapezoidal rule or Simpson's rule.

Using Simpson's rule with a step size of h = \pi/1000, we get:

L \approx 46.619

Therefore, the length of the spiraling polar curve r = 7 e^{4 \theta} from 0 to 2 \pi is approximately 46.619 units.

by what percent will a fraction increase if its numerator is increased by 30

Answers

The fraction will increase by a certain percentage if its numerator is increased by 30 units.

To determine the percentage increase in a fraction when its numerator is increased by 30, we need to compare the original fraction to the new fraction. Let's assume the original fraction is a/b, where a is the numerator and b is the denominator.

When the numerator is increased by 30, the new numerator becomes a + 30. The new fraction is then (a + 30)/b.

To calculate the percentage increase, we can use the following formula:

Percentage Increase = [(New Value - Original Value) / Original Value] * 100

In this case, the original value is a/b, and the new value is (a + 30)/b. Plugging these values into the formula, we get:

Percentage Increase = [((a + 30)/b - a/b) / (a/b)] * 100

Simplifying this expression will give us the percentage increase in the fraction when the numerator is increased by 30. The specific percentage increase will depend on the values of a and b in the original fraction.

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The varsity girl's basketball team has a ratio of seniors to juniors that is 3 to 2. If each team has 12 juniors, which team has more seniors?

Answers

This question is incomplete

Complete Question

A varsity boys' basketball team has a ratio of seniors to juniors that is 7:4.

The varsity girls' basketball team has a ratio of seniors to juniors that is 3 to 2. If each team has 12 juniors, which team has more seniors

Answer:

The boys' team has more seniors

Step-by-step explanation:

If each team has 12 juniors,

Step 1

For the boys' basketball team, lets find the total number of people on the team

A varsity boys' basketball team has a ratio of seniors to juniors that is

7:4 = seniors : juniors

Sum of proportion

= 7 + 4 = 11

Let the total number of people on the team = x

Hence:

4/11 × x = 12

4x/11 = 12

Cross Multiply

4x = 11 × 12

x = 11 × 12/4

x = 33 members

The number of seniors is calculated as

33 members - 12 juniors

= 21 seniors

Step 2

For the girls' basketball team, lets find the total number of people on the team

The varsity girls' basketball team has a ratio of seniors to juniors that is 3 to 2.

= 3:2 = seniors : juniors

Sum of proportion

= 3+2 = 5

Let the total number of people on the team = x

Hence:

2/5 × x = 12

2x/5 = 12

Cross Multiply

2x = 5 × 12

x = 5 × 12/2

x = 30 members

The number of seniors is calculated as

30 members - 12 juniors

= 18 seniors

Therefore, from our above calculations, the boys' team has more seniors

A baseball is thrown up in the air. The table shows the heights y (in feet) of the baseball after x
seconds. Write an equation for the path of the baseball. Find the height of the baseball after 1.7 seconds.

A baseball is thrown up in the air. The table shows the heights y (in feet) of the baseball after xseconds.

Answers

The height of the baseball after 1.7 seconds is 18.85feet

Given the function for calculating the height of the baseball from the table expressed as:

\(y=\frac{1}{2}x + 18\) where:

y is the height of the ball in feetx is the time taken in seconds

In order to get the height of the baseball after 1.7 seconds, we will simply substitute x = 1.6 into the expression as shown:

\(y=\frac{1}{2}(1.7)+ 18\\y=0.85 + 18\\y= 18.85 feet\)

Hence the height of the baseball after 1.7 seconds is 18.85feet

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To answer that question we need to apply the equation for vertical shooting. This particular case implies in fact to steps

First (going up ) the movement is uniformly decelerated by means of gravitySecond (going down) the movement is uniformly accelerated again by means of gravityg = 9.8 m/s² = 32.17 f/s²

Solution is:

h = 40.085× t -  (1/2)× g× t²  equation for the path

h(₁,₇) = 21.66 f

The annexed table gives information to determine Vo ( initial speed of the ball)

h the path of the ball is:

h = V₀× t - (1/2)×g×t²        

Let´s take the second point of the table  ( 1 ; 24 )

Then  

h = 24   = V₀× (1) - (32.17)×(1)²/2

24 = V₀ - 16.085

V₀  = 40.085  ft/sec

With the value of V₀ we can get the curve (model of the movement)

h = 40.085× t -  (1/2)× g× t²    (1)

Now for t = 1.7 seconds, by substitution en equation (1)

h = 40.085× 1.7 - (1/2)× 32.17× (1.7)²

h = 21.66 f  ( which means the ball is already going down

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PLEASE HELP OMG I NEED THIS ASAP

PLEASE HELP OMG I NEED THIS ASAP

Answers

Answer:

45

Step-by-step explanation:

To find area, it's length * width. the length is 5 and the width is 9, so you would do 5*9=45

describe la vida en el barrio que se desarrolla en la pelicula los olvidados de Luis Buñuel teniendo en cuenta sus condiciones economicas y sociales atravez de las distintas actividades desarrolladas por los vecindarios

Answers

Life in the neighborhood depicted in the film "Los Olvidados" is characterized by challenging economic and social conditions.

How do the economic and social conditions shape life in the neighborhood?

The neighborhood in "Los Olvidados" is portrayed as a poverty-stricken area where the residents struggle to make ends meet. The film explores the lives of marginalized individuals most particularly young boys, who are caught in a cycle of poverty, violence, and neglect.

The economic conditions in the neighborhood are harsh, with limited opportunities for employment and a lack of access to basic necessities. As a result, the residents are often forced into criminal activities to survive leading to a high level of violence and crime within the community.

Moreover, the social conditions exacerbate the challenges faced by the neighborhood. There is a sense of abandonment and neglect from the government and wider society with little support or resources available to address the issues faced by the residents.

Full question:

Describes life in the neighborhood that takes place in the film Los Olvidados by Luis Buñuel, taking into account their economic and social conditions through the different activities carried out by the neighborhoods.

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What is it? pls help!

What is it? pls help!

Answers

Answer: rational number

Step-by-step explanation: -2.33333 ...

Answer:

Classifications 1 & 2

Step-by-step explanation:

Real number: because It is located on the number line, belongs to negative numbers.

Rational number: because it is a fraction (quotient)

-7/3 it is not a integer number or whole number

Hope this helps

a data set has its first and third quartiles as 9 and 17 respectively. Which of the following data points would be considered an outlier for the data set
A. 27
B. 17
C. 3
D. 41
In which of these cases should the mean be used?
A. When the data is left-skewed
B. When the data is symmetric
C. When the data is right-skewed
D. When the data has extreme values

Answers

To determine if a data point is considered an outlier for a data set, we need to calculate the interquartile range (IQR) and use it to define the outlier boundaries. The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). The correct option is (B).

We have that Q1 = 9 and Q3 = 17, we can calculate the IQR as follows:

IQR = Q3 - Q1 = 17 - 9 = 8

To identify outliers, we can use the following rule:

- Any data point that is less than Q1 - 1.5 * IQR or greater than Q3 + 1.5 * IQR is considered an outlier.

Using this rule, we can evaluate each data point:

A. 27: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.

B. 17: This data point is not an outlier because it is equal to the third quartile (Q3).

C. 3: This data point is less than Q1 - 1.5 * IQR = 9 - 1.5 * 8 = -3. It is considered an outlier.

D. 41: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.

Therefore, the outliers in the data set are A (27) and D (41).

As for when to use the mean, it is generally recommended to use the mean as a measure of central tendency when the data is symmetric and does not have extreme values.

Therefore, the correct option would be B. When the data is symmetric.

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Choose which function is represented by the graph (x-8)(x-4)(x-2)(x+1).
a. Cubic function
b. Quadratic function
c. Linear function
d. Exponential function

Answers

The function represented by the graph (x-8)(x-4)(x-2)(x+1) is a cubic function.

What type of function is represented by the given graph?

The graph of the function (x-8)(x-4)(x-2)(x+1) represents a cubic function. A cubic function is a polynomial function of degree 3, which means it has the highest power of x as 3.

In this case, the function is formed by multiplying four linear factors (x-8), (x-4), (x-2), and (x+1), resulting in a polynomial expression with four roots.Each factor corresponds to a root, and the product of these factors gives the equation of the cubic function.

Cubic functions are characterized by their S-shaped or U-shaped graphs and have a single local maximum or minimum point. They can exhibit various behaviors such as positive or negative slopes, and their shape depends on the coefficients of the polynomial terms.

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What is the central idea of the poem animals write its style also?

Answers

Central Idea of the Poem; In the poem ‘Animals’, the poet Walt Whitman praises animals for being better than human beings and for possessing all such qualities that humans lack or have forgotten.

The poem Animals' central theme is that humans might get wisdom and virtues from the animals they formerly owned but have since lost.

The poet claims that animals possess many admirable traits like self-control, impartiality, and tranquility.

The comparison of people to animals in order to emphasize the shortcomings in human nature is the poem's main focus rather than praising how wonderful animals are.

The poet thinks that possibly people once possessed all of the virtues listed above, but that they have since lost them.

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Prepare a report answering the following three questions about the Stokes approximation and Oseen approximation.

[1] Briefly describe the two approximations.
[2] Interpret the difference between the results of the two approximations in terms of fluid dynamics.
[3] Give your opinion on the significance of the difference between the two approximations.

Answers

The Stokes approximation and Oseen approximation are methods used to determine the motion of fluid particles in a fluid dynamics problem.

The Stokes approximation applies to slow-moving fluid particles, where viscous forces are dominant, while the Oseen approximation applies to higher velocities, where convective forces are dominant..Oseen approximation: In this approximation, the equations governing the motion of fluid particles account for the convective forces in addition to the viscous forces.

This approximation is valid at moderate Reynolds numbers and is used when the viscous forces are still strong but not as dominant as in the Stokes approximation. The velocity of the fluid decreases less rapidly than in the Stokes approximation, and the approximation is valid for Reynolds numbers greater than one .The difference between the results of the two approximations lies in their range of applicability and the accuracy of their results.

The significance of the difference between the two approximations lies in their application to real-world problems. In fluid dynamics, it is essential to have accurate approximations to predict the behavior of fluid particles accurately. Therefore, choosing the appropriate approximation for the specific problem is critical. knowing the range of applicability of each approximation can help in determining the parameters for the problem.

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the united nations stores data about the kilowatt-hours of wind power produced around the world. the following data set gives information of the united states for 25 years, from 1990 to 2014, in units of million kilowatt-hours. using a calculator or statistical software, find the linear equation of the first 11 years of data, from 1990 to 2000. round the slope to two decimal places and the y-intercept to the nearest whole number. provide your answer below:

Answers

The value that the linear equation predicts for the year 2001 is 4652.15

The discrepancy between the actual and anticipated value is 2173.85

Given data;

Here, we present the dataset from the United Nations, which contains information on the number of kilowatt-hours of wind energy generated globally. The data set provides statistics on the US for 25 years, from 1990 to 2014, in millions of kilowatt-hours.

The linear equation for the first 11 years of data, from 1990 to 2000, must be determined.

To determine how much the actual value and anticipated value for the year 2001 differ in Quantity, we must first forecast the value for the year 2001 using our fitted equation with y-intercept.

It will be written as y = m(x) + c.

where,

The dependent variable is y. (in our example is quantity)

The independent variable is x. (in our example is the year)

'm' is equal to the slope of the variable X.

'C' is a constant.

The fitted equation is provided as follows:

Quantity = 186.87 (year) - 369274.72

Now that the value for the year 2001 has been provided,

Quantity = -1868.87 -369274.72 

Quantity = 4652.15

The value that the linear equation predicts for the year 2001 is 4652.15.

The precise figure for 2001 is 6806.

For the year 2001, the discrepancy between the actual and anticipated values is

6806 - 4652.15 = 2173.85

The distinction is 2173.85.

(2173.85/6806)*100 is the percentage difference.

As a result, the difference between the actual value and the forecasted value for the year 2001 is 31.94%.

Hence,

The value that the linear equation predicts for the year 2001 is 4652.15

The discrepancy between the actual and anticipated value is 2173.85

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Overnight, the temperature in Chicago was just

7°F. But by the afternoon, the temperature had risen 9°F.
What was the temperature in Chicago that afternoon?
°F

Answers

The temperature during the afternoon in Chicago is 2°F

What is meant by the temperature of a place?

The average air temperature throughout a specific time period, typically a day, a month, or a year, as measured by a thermometer that has been properly exposed determines the temperature of a place.

Given,

 The overnight temperature in Chicago =  -7°F

The temperature that had risen during the afternoon = 9°F

From this data, we can see that there is no temperature change during the morning in Chicago.

That means the temperature remained constant throughout the night till the next morning.

Therefore the temperature during the afternoon in Chicago = -7+9 = 2°F.

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5 million and 300 in standard form

Answers

5 million, 4 thousand and 3 hundred in the standard form is 5,004,,300

y=cbrt(2x)
graph for edge 2021 please

Answers

Vocabulary:

Graph: A visual representation of data.

Data: Gathered information.

Situated Problem:

Graph: \(y=\sqrt[3]{x} -2\)

y=cbrt(2x)graph for edge 2021 please

Negation of the statement The angle measure is 65 what's the

Answers

Answer:

whats a negation

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Find an equation of the tangent line to the graph of y=B(x) at x=6 if B(6)=0 and B(6)=(1/2) A rock on the ground weighs 40N. How much force does the ground exert on the rock?A. 20nB. 0NC.40n please help, I'm giving brainliest. Explain the term'wear acid'. What are the steps for planning the discussion? I don't want a brownie because I like cookies betterWhat type of sentence is this? [The following information applies to the questions displayed below.] Chuck Wagon Grills, Incorporated, makes a single producta handmade specialty barbecue grill that it sells for $210. Data for last years operations follow: Units in beginning inventory 0 Units produced 20,800 Units sold 19,400 Units in ending inventory 1,400 Variable costs per unit: Direct materials $ 50 Direct labor 80 Variable manufacturing overhead 20 Variable selling and administrative 10 Total variable cost per unit $ 160 Fixed costs: Fixed manufacturing overhead $ 728,000 Fixed selling and administrative 291,000 Total fixed costs $ 1,019,000 Required: 1. Assume that the company uses variable costing. Compute the unit product cost for one barbecue grill. 2. Assume that the company uses variable costing. Prepare a contribution format income statement for last year. 3. What is the companys break-even point in terms of the number of barbecue grills sold? For which value of x is line L parallel to line M? : . ( - ) Assume that the economy is populated by agents whose expectations are rational. The economys aggregate supply is described by the following Phillips Curve: = ^ 0.6( ^ )Where U is unemployment, Un is the natural rate of unemployment which is equal to 0.05 (5%) and where is inflation and is expected inflation. The Central Bank has a loss function that is represented by the following equation:(,) = 2 + 14( ) ^2where is the inflation target of the Central Bank, which is 2% per year ( = 0.02).a) What would be the unemployment-inflation outcome arising from the interaction between Central Bank and private agents if the Central Bank follows a credible fixed rule for policy action? Explain your results intuitively. (20%)b) What would be the outcome if the Central Bank is allowed to use discretion? Explain the steps taken to arrive to your result and the intuition behind your answer. (50%)c) Which one of the two results is Pareto-optimal? Explain, theoretically, what is the reason for this result. (10%)d) Suppose now that a new Governor of the Central Bank is appointed. The loss function of the new Governor is: (,) = 2 + 24( )^ 2 What would be the unemployment-inflation outcome under discretion in this case? Explain intuitively why the results change relative to the previous loss function. (20%) A scalloped hammerhead shark swims at a steady speed of 1.0 m/s with its 83-cm-wide head perpendicular to the earth's 52 T magnetic field.What is the magnitude of the emf induced between the two sides of the shark's head? Express your answer using two significant figures. A. calls B. dinners C. cleans D. shops A hot air balloon descends 215 feet each minute. How far will it descend in 11 minutes Solve for x9x813Give your answer as an improper fraction in its simplest form. Name and describe the five components of the functional approachto problem-solving. of u.s. college students, _____ percent report binge drinking at least once each month. his succes was ___shadowed by one small mistake the sum total of the beliefs and behaviors that a group of people share can be called a(n) What is the main theme of Indian life? helpppp !preston can paint 375 square feet in 3 hours . at the same rate how long would it take him to paint 812.5 square feet ?a ; 0.15 hoursb ; 1.4 hoursc ; 7.5 hoursd ; 6.5 hours A chemist measures the energy change Delta H during the following 2Fe2O3(s)->4FeO(s)+O2(g). 1)this reactions is: Endothermic or exothermic.2) suppose 94.2g of Fe2O3 react. will any heat be relased or absorbed. yes absorbed. yes releases. no.3) If you said heat will be released or absorbed in the second part of the question. calculate how much heat will be absored or released. be sure your answer has correct number of significant digits.