Find an equation for a vertical line(s) L such that a region bounded by L, the x-axis and the line 2y − 3x = 6 has area 3.
Answers
The equation for a vertical line(s) L such that a region bounded by L, the x-axis and the line 2y − 3x = 6 is 3y + 2x = 6
The formula of the line in point-slope form is expressed as:
\(y-y_0=m(x-x_0)\)
m is the slope
(x0, y0) is any point on the line
Given the equation 2y - 3x = 6
2y = 3x + 6
y = 1.5x + 3
mx = 1.5x
m = 1.5
Hence the slope of the vertical line will be -2/3
IIf the point on the line is (3, 0), hence the required equation will be:
\(y - 0 = -2/3 (x - 3)\\3y = -2(x-3)\\3y = -2x + 6\\3y+2x = 6\)
Hence the equation for a vertical line(s) L such that a region bounded by L, the x-axis and the line 2y − 3x = 6 is 3y + 2x = 6
Learn more here: https://brainly.com/question/17003809
Related Questions
Find the Area of the shaded region. Round your answer to the nearest tenth.
Answers
Answer:
610m^2
Step-by-step explanation:
first we find the total area:
25*42=1050
then, we find the area of the white rectangle:
20*22=440
to find the area of the shaded region (which i'm assuming is the blue part), we can subtract the total area by the area of the white rectangle:
1050-440=610
so, the total area is 610m^2.
How many tiles can fit in a rectangular floor with length 14 ft and width 6 ft if the square tiles has an edge of 3/4 ft. Show your work
Answers
Area of tiles: 3/4 x 3/4 =.5625
84/.5625= 149 1/3
Carl swam 7/12 of a mile. Olivia swam ⅝ of a mile. Who swam farther?
Answers
Olivia swam farther. This is because 5/8 of a mile is greater than 7/12
How the calculate who swam faster among Carl and Olivia ?Carl swam 7/12 of a mile
Olivia swam 5/8 of a mile
= 7/12
= 0.58
= 5/8
= 0.625
From the calculation above, 5/8 is greater than 7/12
Hence Olivia swam faster than Carl because 5/8 of a mile is greater than 7/12 of a mile
Read more on mile here
https://brainly.com/question/28983524
# SPJ1
Factorise the given expression compleyely.
1. 2x(4-7)+(-7+4)
Answers
Answer:
The answer is:-
(2x+1)(4-7)
there is a stack of cards, each given a different number 1-10, suppose we select a card randomly from the stack, replace it, then randomly select a card. what is the probability that the 1st card is an ODD number and the second card is Less then 5?
Answers
Given that:
- A stack of different cards numbered from 1 to 10.
- A card is randomly selected and then replaced. Then another card is randomly selected.
• You need to find the probability that the first card is an odd number.
By definition, Odd Numbers are those numbers that cannot be divided by 2. In this case, these are:
\(1,3,5,7,9\)Knowing that the total number of cars is:
\(10\)You can set up:
\(P(X=ODD)=\frac{5}{10}\)Then:
\(P(X=ODD)=\frac{1}{2}\)• You need to find the probability that the second card is less than 5.
Notice that the numbers cards from the stack that are less than 5 are:
\(1,2,3,4\)Therefore, you can set up that:
\(\begin{gathered} P(X<5)=\frac{4}{10} \\ \\ P(X<5)=\frac{2}{5} \end{gathered}\)• Now you can set up:
\(P=\frac{1}{2}\cdot\frac{2}{5}\)Solving the Multiplication, you get:
\(\begin{gathered} P=\frac{1\cdot2}{2\cdot5} \\ \\ P=\frac{2}{10} \\ \\ P=\frac{1}{5} \end{gathered}\)Hence, the answer is:
\(P=\frac{1}{5}\)Scatter Graphs
The best description of a scatter graph does the following:
“tells the story” of the graph from left to right giving specific values and dates for the first data point, the last data point, any relevant high points and low points
explains the overall trend seen on the graph
includes at least one relevant calculation (absolute change, percent change, ratio, etc) to better describe the data, the trends, or changes in the data
ends with some meaningful conclusion or “take away”
uses terminology correctly
1. Write a thorough description of this scatter graph using the guidelines above. [3 pts]
Answers
A specific type of graphic or mathematical diagram known as a "scatter plot" employs Cartesian coordinates to display values for typically two variables for a group of data.
A scatter graph, scatter chart, scattergram, or scatter diagram are other names for it.
If the points are color-, shape-, or size-coded, a second variable can be displayed. Each point's location on the horizontal axis is determined by the value of one variable, while its location on the vertical axis is determined by the value of the other. The data is shown as a series of dots.A scatter plot can be used when both continuous variables are independent of one another or when one continuous variable is in the researcher's control and the other one depends on it.The scatter graph can be represented by the line of best fit which is calculated by taking the average of all the x -coordinates and the y-coordinates.
To learn more about scatter plot visit:
https://brainly.com/question/24143165
#SPJ1
The graph of a cube root function f is shown.
The graph of g is a vertical shrink by a factor of 1/2 of the graph of f. Graph the function g.
Answers
A graph of the cube root function g(x) = 1/2x³ is shown in the image below.
What is a dilation?In Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.
This ultimately implies that, the dimension (size) or side lengths of the dilated geometric object would be stretched or shrunk depending on the scale factor that is applied.
When the parent cube root function f(x) = x³ is vertically shrunk by a scale factor of 1/2, the transformed function g(x) is given by;
g(x) = kf(x)
g(x) = 1/2f(x)
g(x) = 1/2x³.
Read more on dilation and scale factor here: brainly.com/question/4421026
#SPJ1
HELP IS NEEDED ASAP! WILL MARK THE BRAINLIEST FOR THE CORRECT ANSWER, NOT SOME SPAM OF LETTERS.
Answers
Answer:
1. A: 1
2. B 2\(\pi\)
Step-by-step explanation:
Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day! :)
is y=1x3 a Proportional or a Non-Proportional
Answers
Answer:
proportional graph is a straight line that always goes through the origin. A non-proportional graph is a straight line that does not go through the origin.
Step-by-step explanation:
50 Points
What is the value of y?
Answers
Answer:
y=14
Step-by-step explanation:
measure of a=50degrees b=50 degrees c=(5(14)+10) =80
50+50+80=180
Answer:
Y= 14
Step-by-step explanation:
a=50degrees
b=50 degrees
c=(5(14)+10) =80
50+50+80=180
Jack met Jill Jill had 16 gallons of water in a bucket jack has ? gallons of water in his bucket answer the equation to figure out how much gallons he has in his bucket.If 3 =B and C=2 A=1 What does D eqaul when you figure it out multiply the number that D is equal to 5 times then the number you end up with needs to be multiplied 12 times the number you get subtract 100 from it then you have your answer.
Answers
Answer:
140
Step-by-step explanation:
A=1 B=2 C=3 D=4
4 x 5= 20
20 x 12=240
240 - 100=140
Answer: 140
Answer:
140
Step-by-step explanation:
From least to greatest, What are the x–coordinates of the three points where the graphs of the equations intersect? If approximate, enter values to the hundredths.
,
,
Answers
The x-coordinates where the graphs of the equations intersect are x = -1 and x = 3
How to determine the x-coordinates where the graphs of the equations intersect?From the question, we have the following parameters that can be used in our computation:
y = 2x
y = x² - 3
The x-coordinates where the graphs of the equations intersect is when both equations are equal
So, we have
x² - 3 = 2x
Rewrite the equation as
x² - 2x - 3 = 0
When the equation is factored, we have
(x + 1)(x - 3) = 0
So, we have
x = -1 and x = 3
Hence, the x-coordinates are x = -1 and x = 3
Read more about equations at
https://brainly.com/question/148035
#SPJ1
Question
From least to greatest, What are the x–coordinates of the three points where the graphs of the equations intersect? If approximate, enter values to the hundredths.
y = 2x
y = x² - 3
WRITE THE EQUATION OF THE CONIC SHOWN BELOW
Answers
The required equation of conic section that shows eclipse is \(\frac{(x-2)^2}{4^2} + \frac{(y-4)^2}{6^2}=1\).
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
Let the standard equation of conic section,
\(\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2}=1\) (1)
From the given diagram,
The center of the eclipse is (2, 4),
Here h = 2, and k = 4
The length of minor axis 2a = 8 ⇒ a = 4
The length of major axis 2b = 12 ⇒ b = 6
Substitute the values of a, b and h, k in equation (1)
\(\frac{(x-2)^2}{4^2} + \frac{(y-4)^2}{6^2}=1\)
The required equation of the given conic section is \(\frac{(x-2)^2}{4^2} + \frac{(y-4)^2}{6^2}=1\).
The conic section represents the eclipse.
To know more about Equation on:
https://brainly.com/question/187506
#SPJ1
Can someone please please help me!!
Answers
Answer:
c
Step-by-step explanation:
The table represents a function.
What is f(-2)?
-3
X
-6
--2
0
3
f(x)
3
1
4
-2
-1
ОООО
1
3
Answers
Answer:
234
Step-by-step explanation:
Man I don't know
2x-y+52=16
X-6у +2z=-9
3x+4y- z=32
Answers
The solution to the given system of equation is (3, 3, 3)
Solving system of equationsGiven the following system of equation expressed as:
2x-y+5z=16
X-6у +2z=-9
3x+4y- z=32
Multiply equation 2 by 2 to have:
2x-y+5z=16
2X-12у +4z=-18
Subtract
10y+z = 34 .........4
Similarly
3X-18у +6z=-27
3x+4y- z=32
Subtract
-22y+7z = -59 ........... 5
Equate 4 and 5
10y+z = 34 .........4 * 7
-22y+7z = -59 ........... 5 * 1
_______________________
70y+7z = 238
-22y+7z = -59
Subtract
92y = 297
y = 3
Recall that
10y+z = 34
10(3) + z = 34
z = 3
Since x - 6y +2z = -9
x-6(3)+2(3) = -9
x - 18 + 6 = -9
x = 3
Hence the solution to the given system of equation is (3, 3, 3)
Learn more on system of equation here: https://brainly.com/question/25976025
#SPJ1
If ABCD is a parallelogram, AD = 14, EC = 11, mZABC = 64°, mZDAC = 71°, and mZBDC = 25,
find each measure.
А
a) BC =
d) mZABD =
B
b) AC =
e) m ACD =
E
D
С
c) m DAB
f) mZADB =
Answers
Find attached to this answer the diagram of the Quadrilateral
Question:
If ABCD is a parallelogram, AD = 14, EC = 11, m∠ABC = 64°, m∠DAC = 71°, and m∠BDC = 25, find each measure.
a) BC =
b) AC =
c) m∠DAB =
d) m∠ABD =
e) m∠ACD =
f) m∠ADB =
Answer:
a) BC = 11
b) AC = 22
c) m∠DAB = 116°
d) m∠ABD = 39°
e) m∠ACD = 45°
f) m∠ADB = 25°
Step-by-step explanation:
a) BC
In the question above, EC = 11
We can see that EC and BC are equal sides of a diagonal line that has been divided into two equal parts in a Quadrilateral.
Hence, In a quadrilateral ABCD,
EC = BC
Hence BC = 11
b) AC
AC is one of the diagonal lines that divided parallelogram ABCD
AC = BC + EC
AC = 11 + 11
AC = 22
c) m∠DAB
m∠ABC = 64°
m∠ADC = 64°
For the two angles above, a diagonal bisects through those angles.
Also the sum of angles in a triangle = 180°
Hence,
180° = 1/2m∠ABC + 1/2m∠ADC +
m∠DAB
m∠DAB = 180° - ( 1/2 (64) + 1/2(64))
m∠DAB = 180 ° - 64°
m∠DAB = 116°
d) m∠ABD
Since,
m∠ABC = 64° and m∠BDC = 25
m∠ABC = m∠BDC + m∠ABD
64 = 25+ m∠ABD
m∠ABD = 64° - 25°
m∠ABD = 39°
e) m∠ACD
In the above question,
m∠ABC = 64°,
m∠ADC = m∠ABC, this is because, opposite angles in a quadrilateral are congruent and equal to each other.
Hence, m∠ADC = 64°
m∠DAC = 71°,
In a triangle , all the angles in a triangle = 180°
Hence,
180° = m∠DAC + m∠ADC + m∠ACD
180° = 71° + 64 ° + m∠ACD
m∠ACD = 180° -(71 + 64)°
m∠ACD = 180° - 135°
m∠ACD = 45°
f) m∠ADB
Since
m∠DAB = 116°
m∠ABD = 39°
The sum of angles in a triangle = 180°
180° = m∠ABD + m∠DAB + m∠ADB
180° = 39 ° + 116° + m∠ADB
m∠ADB = 180° - ( 116 + 39)°
m∠ADB = 25 °
a) BC = 11
b) AC = 22
c) m∠DAB = 116°
d) m∠ABD = 39°
e) m∠ACD = 45°
f) m∠ADB = 25°
Given : AD=14 , EC=11, m∠ABC= 64°, m∠DAC=71° and m∠BDC=25°
To find: BC =? , AC =? , m∠DAB =?, m∠ABD =? ,m∠ACD =? ,m∠ADB =?
Consider the figure given below ABCD is a parallelogram
To find a) BC
Given, EC = 11
As seen in figure that EC and BC are equal sides of a diagonal line that has been divided into two equal parts in a Parallelogram.
Hence, In a Parallelogram ABCD,
EC = BC
Hence BC = 11
To find b) AC
AC is one of the diagonal lines that divided parallelogram ABCD
AC = BC + EC
AC = 11 + 11
AC = 22
To find c) m∠DAB
Given, m∠ABC = 64°
m∠ADC = 64°
(For the two angles above, a diagonal bisects through those angles)
Also From Angle sum property;
Hence,
180° = 1/2m∠ABC + 1/2m∠ADC + m∠DAB
m∠DAB = 180° - ( 1/2 (64) + 1/2(64))
m∠DAB = 180 ° - 64°
m∠DAB = 116°
To find d) m∠ABD
Since,
m∠ABC = 64° and m∠BDC = 25
m∠ABC = m∠BDC + m∠ABD
64 = 25+ m∠ABD
m∠ABD = 64° - 25°
m∠ABD = 39°
To find e) m∠ACD
Given, m∠ABC = 64°;
m∠ADC = m∠ABC, this is because, opposite angles in a quadrilateral (here parallelogram) are congruent and equal to each other
Hence, m∠ADC = 64°
m∠DAC = 71°,
In a triangle , all the angles in a triangle = 180°(Angle sum property)
Hence,
180° = m∠DAC + m∠ADC + m∠ACD
180° = 71° + 64 ° + m∠ACD
m∠ACD = 180° - (71 + 64)°
m∠ACD = 180° - 135°
m∠ACD = 45°
To find f) m∠ADB
Since ,m∠DAB = 116° and m∠ABD = 39°
From Angle sum property;
180° = m∠ABD + m∠DAB + m∠ADB
180° = 39 ° + 116° + m∠ADB
m∠ADB = 180° - ( 116 + 39)°
m∠ADB = 25 °
Learn more:
https://brainly.com/question/23163052
an education reform lobby is compiling data on the state of education in the united states. in their research they looked at the percent of people who graduate high school in 10 different states. the data are provided below. use a ti-83, ti-83 plus, or ti-84 to calculate the sample standard deviation and the sample variance. round your answers to one decimal place. high school graduation rate (%) 77.1 82.9 90 91.3 81.9 83.3 84.9 82.5 84.6 helpcopy to clipboarddownload csv provide your answer below: $$standard deviation
Answers
The sample variance and standard deviation are given as follows:
Variance = 87.22 %².Standard deviation = 9.34%.How to obtain the measures?To obtain the variance and the standard deviation, first we must obtain the mean, which is given by the sum of all observations divided by the number of observations, hence:
Mean = (77.1 + 82.9 + 90 + 91.3 + 81.9 + 83.3 + 84.9 + 82.5 + 84.6)/10
Mean = 75.85.
Then we must obtain the sum of the differences squared between each observation and the mean, as follows:
(77.1 - 75.85)² + (82.9 - 75.85)² + (90 - 75.85)² + (91.3 - 75.85)² + (81.9 - 75.85)² + (83.3 - 75.85)² + (84.9 - 75.85)² + (82.5 - 75.85)² + (84.6 - 75.85)² = 784.9825
The sample variance is given by the above sum divided by one less than the sample size, hence:
Variance = 784.9825/9
Variance = 87.22 %².
The standard deviation is the square root of the variance, hence:
Standard deviation = sqrt(87.22)
Standard deviation = 9.34%.
More can be learned about standard deviation at https://brainly.com/question/30240469
#SPJ1
POINTSTODAYPOINTSTHIS WEEKGAMECREDITSWrite the following phrase as an algebraic expression. Use y for theunknown."A number plus 20"
Answers
ANSWER :
y + 20
EXPLANATION :
A number plus 20.
Let y be the unknown number.
A number : so it is y
plus : the operation is addition +
20 : a given number 20
That will be :
\(y+20\)Part A: If (6^2)^X = 1, what is the value of x? Explain your answer.
Part B: If (6^0)^X = 1, what are the possible values of x? Explain your answer.
Answers
Answer:
See explanation.
Step-by-step explanation:
\((6^2)^x = 1\\= 36^x\\= 36^-^1\\= 1.\)
B: Can't solve it, sorry.
How much is 2/3 cups plus 1 1/4 cups
Answers
\(1\frac{11}{12}\)
Step-by-step explanation:\(\frac{2}{3}+1\frac{1}{4}=\frac{2}{3}+\frac{5}{4}=\frac{8}{12}+\frac{15}{12}=\\ \\=\frac{8+15}{12}=\frac{23}{12}=1\frac{11}{12}\)
can anavar we're arguing about how to find the area of the composite figure below they both saw different shades of they both can be correct Which shapes do you see what is the composite area this figure which shapes do you see Jesus shapes to find the composite area
Answers
The composite figure is made by: 2 right triangles and 1 semicircle. Or 1 triangle and 1 semicircle. With any of the two combinations of shapes the area is the same.
To find the area you sum the area of each shape that compose the figure:
1 triangle and 1 semicircle:
\(\begin{gathered} A=A_{\Delta}+A_s \\ \\ A=\frac{1}{2}b\cdot h+\frac{1}{2}\pi\cdot r^2 \end{gathered}\)As the given figure has the diameter of the circle you find the radius as follow:
\(\begin{gathered} r=\frac{d}{2} \\ r=\frac{14m}{2} \\ r=7m \end{gathered}\)The base of the triangle is 14m and the height is 10m.
\(\begin{gathered} A=\frac{1}{2}(14m)(10m)+\frac{1}{2}\pi(7m)^2 \\ \\ A=\frac{140}{2}m^2+\frac{49\pi}{2}m^2 \\ \\ A=70m^2+76.97m^2 \\ \\ A=146.97m^2 \end{gathered}\)The area of the composite figure is 146.97 square meters12 more than three times a number is equal to the difference between -24 and three times the number
Answers
Step-by-step explanation:
12+ 3x= -24 -3x
Collect like terms
12 +24= - 3x -3x
36 = - 6x
Divide both sides by -6
Therefore, x = -6
A regular hexagon is inscribed in a circle. The circle is inscribed in a square. If the side length of the square is 25 cm, what is the length of each side of the hexagon?
Answers
Answer:
12.5
Step-by-step explanation:
to find the length of one side of the hexagon, draw diagonal lines, which will be six diagonals, this will divide the hexagon into, 6 equilateral triangles. The diagonals are equal in length to the side of the square (25 cm.) and the sides of the equilateral triangles are just half of this (12.5 cm.)
25/2=12.5
A researcher performs an experiment to test a hypothesis that involves the nutrients niacin and retinol. She feeds one group of laboratory rats a daily diet of precisely 28.4 units of niacin and 37,335 units of retinol. She uses two types of commercial pellet foods. Food A contains 0.11 unit of niacin and 190 units of retinol per gram. Food B contains 0.35 unit of niacin and 95 units of retinol per gram. How many grams of each food does she feed this group of rats each day?
Answers
The grams of each food she feeds this group of rats each day is 80 grams of food A and 100 grams of food B each day.
Let us consider that the researcher feeds x grams of food A and y grams of food B each day. Then we can restructure the two equations on the basis of the amount of niacin and retinol present in the food
0.11x + 0.35y = 28.4 (equation 1)
190x + 95y = 37,335 (equation 2)
We can evaluate this system of equations applying the substitution or elimination method.
Let us apply substitution method:
In case of equation 1, we can evaluate concerning x:
x = (28.4 - 0.35y) / 0.11
Staging this value for x in equation 2
190[(28.4 - 0.35y) / 0.11] + 95y
= 37,335
Applying simplification and evaluating for y
y = 100
Staging this value for y in equation 1 to evaluate x
x = 80
Then, the researcher feeds 80 grams of food A and 100 grams of food B each day.
To learn more about substitution method
https://brainly.com/question/26094713
#SPJ1
there are 11 oranges, 6 apples, 9 bananas and 13 peaches on the table, what is the probability picking an orange
Answers
Answer:
11 out of 39
Step-by-step explanation:
Answer:
\frac{11}{39}
39
11
Step-by-step explanation:
There are 39 fruits in all.
11 + 6 + 9 + 13= 3911+6+9+13=39
Therefore, there would be 39 total events.
There are 11 preferred events, as there are eleven oranges out of the 39 fruits.
\frac{preferred}{total} =\frac{11}{39}
total
preferred
=
39
11
So, there should be a 11/39 chance that a person would pick an orange.
\frac{11}{39}
39
11
is already in it's lowest terms
Horacio is solving the equation-3/4 + 2/5x = 7/20x -1/2. Which equation represents possible ways to begin solving for x?
Answers
The equation of the possible way to begin solving for x is 2/5x - 7/20x = 3/4 - 1/2
Which equation represents possible ways to begin solving for x?From the question, we have the following parameters that can be used in our computation:
-3/4 + 2/5x = 7/20x -1/2
The first step is to collect the like terms
So, we have
2/5x - 7/20x = 3/4 - 1/2
This represents an equation of the possible way to begin solving for x
Read more about equation at
https://brainly.com/question/27887972
#SPJ1
A baseball player had batting average of 0.298 what the probability of him getting exactly 4 out of 10 times he was up at bat
Answers
The probability of the baseball player getting exactly 4 hits out of 10 times at bat is approximately 0.161, or 16.1%.
To calculate the probability of a baseball player getting exactly 4 hits out of 10 times he was up at bat, we need to use the binomial probability formula.
The binomial probability formula is given by:P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)
Where:
P(X = k) is the probability of getting exactly k hits
n is the total number of trials (in this case, the player's 10 times at bat)
k is the number of successful trials (in this case, 4 hits)
p is the probability of success in a single trial (in this case, the player's batting average, 0.298)
(1 - p) is the probability of failure in a single trial
Plugging in the values:
P(X = 4) = C(10, 4) * (0.298)^4 * (1 - 0.298)^(10 - 4)
Using the combination formula C(n, k) = n! / (k! * (n - k)!):
P(X = 4) = 10! / (4! * (10 - 4)!) * (0.298)^4 * (1 - 0.298)^(10 - 4)
Calculating the values:
P(X = 4) ≈ 0.161
For more such questions on probability
https://brainly.com/question/1834572
#SPJ8
here are two numbers which add up to 17. If one number is 13 more than the other, find the two numbers.
Answers
Answer:
X+y=17
X=y+13
y+13+y-13=17-13
2y. =4
y=2.
X=2+13
X=15
the two numbers are 2 and 15
Suppose we have a random sample of size n = 5 from a continuous uniform distribution on the interval [0, 1]. Find the probability that the third largest observation in the
sample is less than 0.7.
Answers
The probability that the third largest observation in the sample is less than 0.7 is 0.2401 = 24.01%.
How do we calculate?The sample size n = 5,
Therefore the order statistics will be represented as X₁, X₂, X₃, X₄, and X₅.
Probability that X₃ is less than 0.7:
Since X₃ is the third largest observation = (X₁ and X₂) < 0.7.
The probability that X₃ is less than 0.7 is (0.7)² = 0.49.
The Probability that X₁ and X₂ < or equal to 0.7 is found as:.
The probability that both X₁ and X₂ are less than or equal to 0.7 is (0.7)² = 0.49 because in a continuous uniform distribution, the probability of any single observation being less than 0.7 is 0.7 - 0 = 0.7.
We then get the product of both cases:
Probability = 0.49 * 0.49 = 0.2401
Learn more about Probability at:
https://brainly.com/question/24756209
#SPJ1