Answer:
Answer A is correct
Step-by-step explanation:
Let us use completing square method for this.
\(x^{2} -5x -10=0\\\\x^{2} -5x=10\\\\x^{2} -5x+\frac{25}{4}=10+ \frac{25}{4}\\\\ (x+\frac{5}{2}) ^{2} =\frac{10*4}{1*4} +\frac{25}{4}\\\\ (x+\frac{5}{2}) ^{2} =\frac{40}{4} +\frac{25}{4}\\\\ (x+\frac{5}{2}) ^{2} =\frac{40+25}{4} \\\\(x+\frac{5}{2}) ^{2} =\frac{65}{4} \\\\(x+\frac{5}{2}) = \±\sqrt{\frac{65}{2} }\\\\(x+\frac{5}{2}) =\±\frac{\sqrt{65}}{4}\\\\x=\±\frac{\sqrt{65}}{4}-\frac{5}{2}\)
∴ \(x=-\frac{5}{2} \±\frac{\sqrt{65}}{4}\)
A canoe rental service charges a $30 transportation fee and $15 an hour to
rent a canoe. Write and equation. How long was the canoe rented if a
customer paid $105?
Answer:
5 hours
Step-by-step explanation:
Your equation is 105 = 15x + 30 subtract 30 from both sides, then divide by 15 to get x = 5 hours.
Brainliest would be apprappreciated. :-)
Yo The digit 6 in the number 406,000 is how many times greater than the digit in 400,060
Answer:
s
Step-by-step explanation:
Answer:
The number is 100 x greater than the other number
Step-by-step explanation:
406,000 is the number
400,060 is the comparing number
use a place value .Brainiest would be needed Please.
Find all rational roots for P(x)=0 .
P(x)=7x³-x²-5 x+14
By evaluating P(x) for each of the possible rational roots, we find that the rational roots of P(x) = 0 are: x = -2, 1/7, and 2/7. To find the rational roots of the polynomial P(x) = 7x³ - x² - 5x + 14, we can apply the rational root theorem.
According to the theorem, any rational root of the polynomial must be of the form p/q, where p is a factor of the constant term (14 in this case) and q is a factor of the leading coefficient (7 in this case).
The factors of 14 are ±1, ±2, ±7, and ±14. The factors of 7 are ±1 and ±7.
Therefore, the possible rational roots of P(x) are:
±1/1, ±2/1, ±7/1, ±14/1, ±1/7, ±2/7, ±14/7.
By applying these values to P(x) = 0 and checking which ones satisfy the equation, we can find the actual rational roots.
By evaluating P(x) for each of the possible rational roots, we find that the rational roots of P(x) = 0 are:
x = -2, 1/7, and 2/7.
These are the rational solutions to the polynomial equation P(x) = 0.
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Question 5: (True/False) a)_ In a hypothesis test , YOU assume the alternative hypothesis is true b). A statistical hypothesis is a statement about a sample. C) If you decide to reject the null hypothesis, then you can support the alternative hypothesis_ d). The level of significance is the maximum probability YOu allow for rejecting null hypothesis when it is actually true e)_ A large P-value in a test will favor rejection of the null hypothesis_
In a hypothesis test, YOU presumptively believe the alternative hypothesis, a statistical hypothesis is a claim regarding a sample, If you choose to reject the null hypothesis, you can then decide whether or not the alternative hypothesis is correct.
What is statistical hypothesis?A hypothesis is a proposition that makes sense in light of the available information but has neither been confirmed nor refuted. A statement on which hypothesis testing will be based is referred to as a hypothesis in statistics (also known as a statistical hypothesis).Mathematical operations like addition, subtraction, multiplication, division, and exponentiation are all instances. The most popular type of mathematics is arithmetic. The mean IQ score for a randomly selected group of thirty students is 112.5. With a standard deviation of 15, the population's average IQ is 100.Examining the entire population would be the greatest approach to find out whether a statistical hypothesis is accurate. Researchers often look at a random sample of the population since doing so is frequently not possible. The statistical hypothesis is disproved if sample data are incongruent with it.To learn more about statistical hypothesis, refer to:
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Each of the following sets of dimensions represents the dimensions of a right rectangular prism. All of them have the same volume except length: ; width: 10; height: 3 length: 1; width: 5; height: 7 length: 2; width: 5; height: 3 length: 4; width: 2 ; height: 3
The first and third rectangular prisms have the same volume of 30 cubic units.
The second rectangular prism has a volume of 350 cubic units, and the fourth rectangular prism has a volume of 24 cubic units.
How do we calculate?The volume of each of the rectangular prisms can be calculated as follows:
1. length: 1; width: 10; height: 3
volume = 1 x 10 x 3 = 30
2. length: 5; width: 10; height: 7
volume = 5 x 10 x 7 = 350
3. length: 2; width: 5; height: 3
volume = 2 x 5 x 3 = 30
4. length: 4; width: 2; height: 3
volume = 4 x 2 x 3 = 24
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Can somebody help me with this? I’ve been stuck on this over the
weekend. :(
The value of arc angle EFG is 160⁰.
The value of arc angle EHG is 200⁰.
The length of arc EHG is 200⁰
The value of arc angle FEG is 280⁰.
What is the value EFG?The value of EFG is calculated as follows;
arc ∠EFG = m∠EDF + m∠FDG (intersecting chord theorem)
arc ∠EFG = 80⁰ + 80⁰
arc ∠EFG = 160⁰
The value of arc EHG is calculated as follows;
arc EHG = 360 - (160⁰) (sum of angles in a circle)
arc EHG = 200⁰
arc length EHG = 200⁰
The value of arc FEG is calculated as follows;
arc FEG = 360 - 80⁰ (sum of angles in a circle)
arc FEG = 280⁰
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find two numbers whose difference is 164 and whose product is a minimum.
Answer: The lowest possible product would be -6724 given the numbers 82 and -82.
We can find this by setting the first number as x + 164. The other number would have to be simply x since it has to have a 164 difference.
Next we'll multiply the numbers together.
x(x+164)
x^2 + 164x
Now we want to minimize this as much as possible, so we'll find the vertex of this quadratic graph. You can do this by finding the x value as -b/2a, where b is the number attached to x and a is the number attached to x^2
-b/2a = -164/2(1) = -164/2 = -82
So we know one of the values is -82. We can plug that into the equation to find the second.
x + 164
-82 + 164
82
Step-by-step explanation: Hope this helps.
In finance, we need to do partial observations of data and estimate the data generating process (DGP) -- for example, log-normal returns. Sometimes, we can observe only the data points of a certain process, but we don't know what is the function generating the process. Consider the following graph is a plot of the f ′
(x), of a function f(x) given. What is the underlaying function ( f(x −
i)) that is the generator of the observed points in the plot f ′
(x −
i), for points x −
1=−1,x −
2=−0.9,…,x −
n=1?
The underlying function f(x - i) that generates the observed points f'(x - i) in the plot can be determined by integrating the observed points. By integrating f'(x - i), we can obtain f(x - i) up to a constant of integration.
The constant of integration can be determined by incorporating additional information or constraints related to the problem or by considering the behavior of the function at a specific point.
To find the underlying function f(x - i) that generates the observed points f'(x - i), we need to integrate the observed points.
Integration is the reverse process of differentiation, so by integrating f'(x - i), we can recover f(x - i) up to a constant of integration.
The constant of integration arises because integration does not provide a unique solution.
The constant represents an arbitrary additive term that can vary depending on the specific problem or additional constraints.
To determine the constant of integration, we may need additional information or consider specific conditions related to the problem.
It is also important to note that the accuracy of estimating the underlying function f(x - i) depends on the quality and quantity of the observed data points f'(x - i). More data points and precise measurements can lead to a better estimation of the underlying function.
Additionally, the behavior of the function at a specific point can provide valuable insights for determining the constant of integration and refining the estimation of the underlying function.
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I genuinely have no idea
Answer:
10/13/17
15/15/22
Step-by-step explanation:
I may of made some mistakes but I tried, I hope this helps you.
calculate a,b and c
HELP…this is probably easy…but still help.
Answer:
A) The parallelogram is a rhombus
Step-by-step explanation:
A rhombus is an equally 4-sided figure with two acute angles and two obtuse angles opposite of each other.
we would associate the term inferential statistics with which task?
Inferential statistics involves using sample data to make inferences, predictions, or generalizations about a larger population, providing valuable insights and conclusions based on statistical analysis.
The term "inferential statistics" is associated with the task of making inferences or drawing conclusions about a population based on sample data.
In other words, it involves using sample data to make generalizations or predictions about a larger population.
Inferential statistics is concerned with analyzing and interpreting data in a way that allows us to make inferences about the population from which the data is collected.
It goes beyond simply describing the sample and aims to make broader statements or predictions about the population as a whole.
This branch of statistics utilizes various techniques and methodologies to draw conclusions from the sample data, such as hypothesis testing, confidence intervals, and regression analysis.
These techniques involve making assumptions about the underlying population and using statistical tools to estimate parameters, test hypotheses, or predict outcomes.
The goal of inferential statistics is to provide insights into the larger population based on a representative sample.
It allows researchers and analysts to generalize their findings beyond the specific sample and make informed decisions or predictions about the population as a whole.
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n C (x) = 0.6x² − 168x+17,507. What is the minimum unit cost?
-
Step-by-step explanation:
Answer:
Minimum Unit Cost = $14,362
Step-by-step explanation:
The standard form of a quadratic is given by:
ax^2 + bx + c
So for our function, we can say,
a = 0.6
b = -108
c = 19,222
We can find the vertex (x-coordinate where minimum value occurs) by the formula -b/2a
So,
-(-108)/2(0.6) = 108/1.2 = 90
Plugging this value into original function would give us the minimum (unit cost):
If M
then mABC = [ ? ]
Answer:
135
Step-by-step explanation:
m(abc)= m(abd) +m(dbc) = 65+60 =135
Determine the minimum sample size required when you want to be onfident that the sample mean is within one unit of the population mean and 13.8 assume the population is normally distributed.
The minimum sample size required when you want to be 99% confident that the sample mean is within one unit of the population mean and σ = 13.8 is 1268
Given: To find the minimum sample size, confidence level = 99%, standard deviation = 13.8, and one unit population mean. [Normally distributed]
Solving the given question:
We know that the formula for Margin of error is:
Margin of error = z-score * (standard deviation) / root (sample size)
E = z * σ / √(n), where
E = Margin of error
z = z-score
n = Sample size
σ = standard deviation
Therefore, sample size = ( z – score * standard deviation / margin of error)²
n = ( z * σ / E )²
First, calculate the z-score for the 99% confidence level.
From the normal distribution curve, the area under 99% confidence level is given as:
Area under 99% confidence level = (1 + confidence level) / 2 = (1 + 0.99) / 2 = 0.995
From the z-score table, we find the value of z with the corresponding area of 0.995
We find the value of the z-score corresponding to 0.995 is 2.58
Also given sample mean is one unit of the population. So the margin of error is 1
E = 1
And given Standard deviation = 13.8
σ = 13.8
Putting the values in the given formula of sample size n =
n = (2.58 * 13.8 / 1 )²
n = 1267.64
n = 1268
Hence the minimum sample size required when you want to be 99% confident that the sample mean is within one unit of the population mean and σ = 13.8 is 1268
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Disclaimer: Determine the minimum sample size required when you want to be 99% confident that the sample mean is within one unit of the population mean and G = 13.8. Assume the population is normally distributed. A 99% confidence level requires a sample size of (Round up to the nearest whole number as needed )
A company that makes hard candy have a standard bag of hard candy with 150 pieces. The hard candy has three distinct colors red, white and orange and equal proportion of each candy is present in the standard bag. The manager wants to know whether the bags produced last Monday were similar to the standard bag. To test this, they plan to choose a random bag from the batch and compare it with the standard bag. You will have to answer questions below to assist the manager in comparing the two bags.
1. What is the alternate hypothesis for this exercise? (Select the most appropriate response)
A. The bag of candy produced last Monday is like the standard bag.
B. The bag of candy produced last Monday is different from the standard bag.
C. The two bags cannot be compared.
D. We need more bags to complete the comparison.
2. What is the null hypothesis for this exercise? (Select the most appropriate response)
A. The bag of candy produced last Monday are like the standard bag.
B. The bag of candy produced last Monday is different from the standard bag.
C. The two bags cannot be compared.
D. We need more bags to complete the comparison.
3. After performing the necessary calculations, the chi-square value of the test is 6.7. The cut-off/critical value of chi-square test is 5.991 (for 5% chance).
What is your conclusion about the bags based on this result? (Select the most appropriate response)
A. The bag of candy produced last Monday is like the standard bag.
B. The bag of candy produced last Monday is different from the standard bag.
C. The two bags cannot be compared.
D. We need more bags to complete the comparison.
Answer:
1. B. The bag of candy produced last Monday is different from the standard bag.
2. A. The bag of candy produced last Monday are like the standard bag.
3. B. The bag of candy produced last Monday is different from the standard bag.
Step-by-step explanation:
Given - A company that makes hard candy have a standard bag of hard candy with 150 pieces. The hard candy has three distinct colors red, white and orange and equal proportion of each candy is present in the standard bag. The manager wants to know whether the bags produced last Monday were similar to the standard bag. To test this, they plan to choose a random bag from the batch and compare it with the standard bag. You will have to answer questions below to assist the manager in comparing the two bags.
To find - 1. What is the alternate hypothesis for this exercise?
2. What is the null hypothesis for this exercise?
3. After performing the necessary calculations, the chi-square value of the test is 6.7. The cut-off/critical value of chi-square test is 5.991 (for 5% chance). What is your conclusion about the bags based on this result?
Proof -
1.
The alternate hypothesis is - B. The bag of candy produced last Monday is different from the standard bag.
2.
The null hypothesis is - A. The bag of candy produced last Monday are like the standard bag.
3.
The conclusion is - B. The bag of candy produced last Monday is different from the standard bag.
Write the equation of the line that is parallel to y=-1/2x-3 and that will pass through the point (4,-1) . Write your answer in slope-intercept form
The equation of the line that is parallel to y = -1/2x - 3 and passes through the point (4, -1) is y + 1 = -1/2x + 2 written in slope-intercept form.
What is the slope of the equation?
The slope of a line is a measure of its steepness. Mathematically, the slope is calculated as "rise over run" (change in y divided by change in x).
To find the equation of a line that is parallel to y = -1/2x - 3 and passes through the point (4, -1), we can use the point-slope form:
y - y1 = m(x - x1)
where (x1, y1) is the given point, and m is the slope of the line.
Since the given line is parallel to y = -1/2x - 3, it has the same slope, which is -1/2. Substituting this value for m and the coordinates of the given point into the point-slope form, we get:
y - (-1) = (-1/2)(x - 4)
Combining like terms and multiplying through the parentheses, we get:
y + 1 = -1/2x + 2
Hence, the equation of the line that is parallel to y = -1/2x - 3 and passes through the point (4, -1) is y + 1 = -1/2x + 2 written in slope-intercept form.
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The quadratic equation x x4 3 2 0 2 − − = has what roots
The quadratic equation x2 - 4x + 3 = 0 has two roots. The roots are given by the quadratic formula as x = [4 ± √(16 - 12)]/2, which gives x = [4 ± 2√3]/2. Therefore, the roots are x = 2 ± √3.
The quadratic equation x^2 - 4x - 3 = 0 has two roots.
To find the roots of this equation, we can use the quadratic formula:
x = (-b ± √(b^2 - 4ac))/(2a)
In this case, a = 1, b = -4, and c = -3. Plugging these values into the quadratic formula, we get:
x = (-(-4) ± √((-4)^2 - 4(1)(-3)))/(2(1))
x = (4 ± √(16 + 12))/2
x = (4 ± √28)/2
x = (4 ± 2√7)/2
Simplifying further, we get:
x = 2 ± √7
Therefore, the two roots of the equation are x = 2 + √7 and x = 2 - √7.
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Suppose you are assigned the number 1, and the other students in your statistics class call out consecutive numbers until each person in the class has his or her own number. Explain how you could get a random sample of four students from your statistics class. (a) Explain why the first four students walking into the classroom would not necessarily form a random sample. (b) Explain why four students coming in late would not necessarily form a random sample. (c) Explain why four students sitting in the back row would not necessarily form a random sample. (d) Explain why the four tallest students would not necessarily form a random sample.
The variables of interest are grades or study habits, height would not be a factor that affects these variables. Therefore, selecting the four tallest students would not be a random sample.
Suppose you are assigned the number 1, and the other students in your statistics class call out consecutive numbers until each person in the class has his or her own number. To get a random sample of four students from your statistics class, you could use a random number generator to select four numbers between 1 and the total number of students in the class.
Then, you would choose the students with those corresponding numbers as your random sample.(a) The first four students walking into the classroom would not necessarily form a random sample because there could be some sort of ordering or trend to the way students arrive that could bias the sample. For example, the first students to arrive could be the most punctual students, which could be related to other factors that affect the variables of interest.
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80ft Tiffany makes custom skateboards. Her profit can be modeled by p(x) = -15x² + 3780x - 176700, where x is the price she charges and p(x) is her profit.
Answer the following questions algebraically. What will her maximum profit be?
What should she charge to maximize her profits?
What would her profit be if she charged $100?
- 15(100)² + 3780(100) -176700 $51,300
The profit function is modeled as follows:
p(x) = -15x² + 3780x - 176700.
It is a quadratic function with coefficients given as follows:
a = -15, b = 3780, c = -176700.
The leading coefficient of the quadratic function is negative, hence the profit will be maximized at the vertex of the quadratic function.
The x-coordinate of the vertex, representing the price which maximizes the profit, is given as follows:
x = -b/2a
x = -3780/-30
x = $126.
Then the maximum profit would be given as follows:
p(126) = -15(126)² + 3780(126) - 176700.
p(126) = $61,400.
If she charged $100, the profit would be given as follows:
p(100) = -15(100)² + 3780(100) - 176700.
p(126) = $51,300.
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frances receives one dollar for every pound of worms she gives her grandfather. which reinforcement schedule is this? group of answer choices fixed interval fixed ratio variable interval variable ratio
Answer:fixed ratio
Step-by-step explanation: :)
This is an illustration of a fixed ratio reinforcement schedule: after a predetermined number of responses, Frances is given a reward (in this case, $1). (every pound of worms).
What is a fixed ratio reinforcement schedule?An example of a reinforcement plan utilized in the behavioral psychology concept of operant conditioning is a fixed ratio reinforcement schedule. A reward or reinforcement is delivered according to this schedule after a predetermined number of actions or responses. As an illustration, a rat might receive a food pellet after every 10 lever presses.
Fixed ratio schedules work well for encouraging high response rates since the subject is driven to keep up the activity in order to earn the reward. Yet, if the reinforcement is stopped, the behavior can become less frequent or cease entirely.
Fixed ratio schedules can also cause behaviors to become rigid or stereotyped because the subject may start concentrating only on the number of responses required to earn the reward and stop considering other options or actions.
Overall, fixed ratio reinforcement regimens can be helpful in teaching both humans and animals to carry out particular tasks, but they should be utilized with caution and consideration for any unexpected consequences.
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pls help and give answers
The solution of the inequalities are,
⇒ x > 6
⇒ x ≤ 24
⇒ x ≥ 6
⇒ x < 8
⇒ x ≥ 24
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
The inequalities are shown in figure.
Now,
Solve the given inequalities as;
1) x + 28 > 34
⇒ x + 28 - 28 > 34 - 28
⇒ x > 6
2) x/2 ≤ 12
⇒ 2x/2 ≤ 12 × 2
⇒ x ≤ 24
3) 7x ≥ 42
⇒ x ≥ 42/7
⇒ x ≥ 6
4) x - 2 < 6
⇒ x - 2 + 2 < 6 + 2
⇒ x < 8
5) 3x ≥ 72
⇒ x ≥ 72/3
⇒ x ≥ 24
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x+12=21 show your work
Answer:
x=9
Step-by-step explanation:
x+12=21
x=21-12
x=9
x+12=21
Step 1: Subtract 12 from both sides.
x+12−12=21−12
x=9
i flip a fair coin and draw a card randomly from a standard 52-card deck. you want to know the probability the coin comes up heads and the card is a heart. which rule of probability would help you?
On solving the provided question, we can say that - the probability the coin comes up heads and the card is a heart is 1/26
What is probability?The probability that something will occur is the foundation for it. The foundation of theoretical probability is the justification of probability. For instance, the theoretical likelihood of receiving heads while tossing a coin is 1/2. A branch of mathematics known as probability measures the possibility of an event happening or a proposition being true. The probability of an occurrence is a number between 0 and 1, where roughly 0 denotes the event's improbability and 1 denotes certainty.
let
e1 be the drawing a card from a deck of 52 cards,
and,
e2 be the flipping of a coin,
These two events are mutually exclusive. so,
\(P(E1) = 4/52 = 1/13\\P(E2) = 1/2\\now, P(E1 and E2 ) = P(E1) * P(E2) = (1/13)*(1/2) = 1/26.\\\)
Answer is 1/26.
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Can someone tell me if it’s a function and explain:)
Answer:
Step-by-step explanation:
Huh i
You spin a spinner, Flip a coin, then spin the spinner again. Find the probability of the compound event, write your answer as a fraction or percent. If necessary round your answer to the nearest hundredth.The probability of spinning blue, flipping heads, then spinning a one is _
The probability is given by:
\(P=\frac{numb\text{er of favourable outcomes}}{\text{total number }of\text{ outcomes}}\)Therefore:
- The probability of spinning blue is:
Favorable outcomes = 1 (blue color)
Total outcomes = 3 (red, blue, and yellow)
\(P(\text{spinning blue)}=\frac{1}{3}\)- The probability of flipping heads is:
Favorable outcomes = 1 (head)
Total outcomes = 2 (head and tail)
\(P(\text{flipping head)=}\frac{1}{2}\)- The probability of spinning a one is:
Favorable outcomes = 1 (number 1)
Total outcomes = 3 (numbers 1, 2 and 3)
\(P(\text{spinning a one)=}\frac{1}{3}\)Next, the probability of the compound event:
\(P(\text{compound event)=}\frac{1}{3}\times\frac{1}{2}\times\frac{1}{3}=\frac{1\times1\times1}{3\times2\times3}=\frac{1}{18}\)Answer: the probability of the compound event is 1/18
Please help thank you ;)
Answer:
the total angles shoudl add up to 180 but the angles listed adds up to 190 degreees
Step-by-step explanation:
This is not a real triangleno triangeBBBBBBBBI want brainliest!
What is the slope of -4x + 4y= -32
What is the y-intercept?
Answer:
The is m = 1
y = -8 + x
Step-by-step explanation:
check m a t h w a y to make sure I am right and you have what you are looking for
I suck at algebra and am stuck on this question
the linear equation such that it is parallel to the line:
y = -2x + 5
And that it passes through the point (-2, -4) is y = -2*x - 8
How to find the slope-intercept form of the line?Here we want to find a linear equation such that it is parallel to the line:
y = -2x + 5
And that it passes through the point (-2, -4)
Remember that two lines are parallel if and only if the lines have the same slope and different y-intercept.
Then our line is something like:
y = -2*x + b
To find the value of b, we replace the values of the given point:
-4 = -2*-2 + b
-4 = 4 + b
-4 - 4 = b = -8
We conclude that the linear equation is y = -2*x - 8
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with reference to time series data patterns, a cyclical pattern is the component of the time series that
Answer:
Step-by-step explanation:
1012