A method to swap two array elements works correctly because it is designed to swap the entire elements at two different indexes in an array.
The method receives two integer values representing the indexes of the elements to be swapped and then proceeds to swap the elements themselves.
On the other hand, a method to swap two integer values does not work correctly because integers are passed by value, which means that the method receives a copy of the integer values rather than the original values themselves. Thus, the method only swaps the copies and not the original values, and as a result, the original values remain unchanged.
To overcome this issue, one can use a workaround such as passing the integer values as references instead of values. This way, the method receives a reference to the original value, and any changes made to the reference will affect the original value as well. However, this approach can be more complex and less efficient than simply swapping array elements.
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A(x)=4x^2-5x-3x^3+6
B(x)=3x^3-5x-4+6x^2
1.sort the polynomial A(x),B(x) according to the decreasing power of the variable
2. Calculate N(x)= A(x)+B(x)
Solve by grade 7
Thanks
[tex]A(x)=4x^2-5x-3x^3+6[/tex] and [tex]B(x)=3x^3-5x-4+6x^2[/tex]. Sort the polynomial A(x), B(x) according to the decreasing power of the variable. The final solution for N(x) is;
[tex]N(x)=10x^2-10x+2[/tex]
To type the polynomials A(x) and B(x) in line with the lowering energy of the variable, we want to arrange the phrases in order that the highest diploma term comes first, observed with the aid of the next maximum diploma time period, and so forth. We also want to mix any like phrases which have identical diplomas. For example, A(x) has two terms with degree 2, so we will upload them collectively. Here is how we kind A(x) and B(x):
[tex]A(x) = -3x^3 + 4x^2 - 5x + 6[/tex]
[tex]B(x)=3x^3+6x^2-5x-4[/tex]
To calculate N(x) = A(x) + B(x), we want to feature the corresponding phrases of A(x) and B(x) which have an equal degree. For example, to locate the coefficient of [tex]x^3[/tex] in N(x), we want to add the coefficients of x^three in A(x) and B(x), which might be -3 and +3 respectively. Here is how we calculate N(x):
[tex]N(x)=(-3+3)x^3+(4+6)x^2+(-5-5)x+(6-4)[/tex]
[tex]N(x)=10x^2-10x+2[/tex]
This is the final solution for N(x).
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1. You have 15 apples and 25 oranges. Write the ratio
for the number of apples to oranges.
2. Solve the proportion:
X 10
9
12
=
3. The scale factor for the blueprints for a room is 1 in.
to 12 ft. . If the back wall of the room has the dimension
of 8 in. on the blueprints, how long is the actual length
back wall?
Answer:
3/5 x = 7.5 96 ftStep-by-step explanation:
You want the solutions to various problems involving ratios, proportions, and scale factors.
1. RatioThe ratio of 15 apples ot 25 oranges can be written several ways, with and without units:
15 apples to 25 oranges, or 15 to 25.
Reduced to 3 apples to 25 oranges, or 3 to 5
15 apples : 25 oranges, or 15 : 25
Reduced to 3 apples : 5 oranges, or 3 : 5
15 apples / 25 oranges, or 15/25
Reduced to 3 apples / (5 oranges), or 3/5
2. Proportion
You can solve the proportion ...
x/9 = 10/12
by multiplying both sides by 9:
x = 9·10/12 = 90/12
x = 15/2 = 7.5
3. Scale factorIf each inch represents 12 ft, then 8 inches represents 8·12 ft = 96 ft.
The actual length of the back wall is 96 feet.
#95141404393
20. The table below shows the results of a su
students' favorite school lunches. What fraction of
the students surveyed said that grilled cheese is
their favorite school lunch?
What Is their Favorite
School Lunch?
Answer:
3/10
Their favourite is pizza
Step-by-step explanation:
30% = 30/100
simplified is 3/10
Answer:
3/10
Step-by-step explanation:
1. 30%=3/10
2. The schools favorite lunch is pizza
PLS HELP! WILL MARK BRAINLYIST!!
1. What do you know about the trigonometric ratios for similar triangles?
2. What is the relationship between the sine and cosine of complementary angles, and why is this relationship true?
3. How do you use trigonometric ratios to solve for a missing side or angle of a right triangle?
Possible answers??
2. The relationship between the sine and cosine of complementary angles is that they are equal. Angles A and B are complementary if: A+B=90.
3. Sineθ=opposite/hypotenuse, cosθ=adjacent/hypotenuse, tanθ=opposite/adjacent.
PLEASE HELP, I DON'T KNOW IF THESE ARE RIGHT
1) Trigonometric ratios for similar triangles state that the ratios of corresponding sides of similar triangles are equal. 2) The sine and cosine of complementary angles have the property of being not only equal but also complementary to one another. 3) trigonometric ratios can be used to solve for a missing side or angle of a right triangle.
What are trigonometric ratios?1. Trigonometric ratios for similar triangles state that the ratios of corresponding sides of similar triangles are equal. Therefore, the ratios of the sine, cosine, and tangent of the corresponding angles in similar triangles will also be equal.
2. The sine and cosine of complementary angles have the property of being not only equal but also complementary to one another. This means that the sine of an angle is equal to its complement's cosine, and vice versa.
3. Using the appropriate formula based on the given information, trigonometric ratios can be used to solve for a missing side or angle of a right triangle.
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what can be said about the situation in a cohort study reporting an adjusted risk ratio of 2.5, with a 95% confidence interval of (0.8. 3.8)
The most appropriate answer would be option a) "Confounding is likely to be a problem in the interpretation of these results."
Now, let's consider the 95% confidence interval (CI) provided as (0.8, 3.8). A confidence interval is a range of values within which the true population parameter (in this case, the risk ratio) is likely to fall. The lower and upper bounds of the confidence interval in this case are 0.8 and 3.8, respectively.
Confounding refers to the presence of an extraneous factor that is associated with both the exposure and the outcome and can distort the observed association.
In this situation, since the confidence interval includes the null value of 1 (i.e., 1 is within the range), it suggests that the observed association may not be statistically significant.
A statistically significant result means that the observed association is unlikely to have occurred due to chance alone.
Therefore, option a) "Confounding is likely to be a problem in the interpretation of these results" is a reasonable conclusion.
Hence the correct option is (a).
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Complete Question:
What can be said about the situation in a cohort study reporting an adjusted risk ratio of 2.5, with a 95% confidence interval of (0.8, 3.8)
a) Confounding is likely to be a problem in the interpretation of these results,
b) This estimate had a P value that was at or below 0.05.
c) There is a clear and strong association between the exposure and the health outcome understudy.
d) None of the above.
The volume of the right cone below is 6217 units. Find the value of x.
Answer:
23
Also correct 7.32pi
Step-by-step explanation:
Solve the right triangle. If two sides are given, give angles in degrees and minutes.
A= 12° 33', c = 283 ft
Round side lengths to two decimal places.
A. B=78° 26'; a = 61.49 ft; b=272.24 ft
B. B=77° 27'; a = 61.49 ft; b=276.24 ft
C. B=77° 26'; a = 64.69 ft; b = 277.44 ft
D. B=77° 27'; a = 60.92 ft; b=275.35 ft
The solution is, the angles of the right triangle are approximately:
A = 12° 33'
B ≈ 1.03°
C ≈ 76° 27'
We are given angle A = 12° 33' and side c = 283 ft. Let's first find angle C using the sine ratio:
sin C = opposite / hypotenuse
sin C = a / c
a = c * sin C
Using a calculator:
sin C = sin(90° - A) ≈ 0.996
a ≈ 282.95 ft
Therefore, we have side a ≈ 282.95 ft. To find the remaining side b, we can use the Pythagorean theorem:
b² = c² - a²
b² = (283 ft)² - (282.95 ft)²
b ≈ 0.79 ft
(Note that we may have some rounding error in the last digit due to using approximate values for a and c, but it should be insignificant.)
Now let's find the angles:
Angle B = 90° - A ≈ 77° 27'
Using the sine ratio again:
sin B = opposite / hypotenuse
sin B = b / c
B ≈ 1.03°
(Note that we may have some rounding error here due to using an approximate value for b, but it should be insignificant compared to the precision of the given angles.)
Therefore, the angles of the right triangle are approximately:
A = 12° 33'
B ≈ 1.03°
C ≈ 76° 27'
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pls asnwer the circled bit pls!
worth 35 points :))
Answer:
gradient = - 2 , y- intercept = 1
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope (gradient) and c the y- intercept )
given
2x + y = 1 ( subtract 2x from both sides )
y = - 2x + 1 ← in slope- intercept form
with gradient m = - 2 and y- intercept c = 1
find x x-3(x-3+x+1)=6(6+15)
The value of x in the equation x - 3(x - 3 + x + 1) = 6(6 + 15) is -24
Calculating the value of x in the equationFrom the question, we have the following parameters that can be used in our computation:
x-3(x-3+x+1)=6(6+15)
Express properly
So, we have
x - 3(x - 3 + x + 1) = 6(6 + 15)
Evaluate tje like terms
This gives
x - 3(2x - 2) = 126
Open the brackets
x - 6x + 6 = 126
So, we have
-5x = 120
Divide
x = -24
Hence the value of x is -24
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Write an explicit formula that represents the sequence defined by the following recursive formula:
�
1
=
1
and
�
�
=
−
4
�
�
−
1
a
1
=1 and a
n
=−4a
n−1
The explicit formula an=−4n−1 represents the sequence defined recursively by a1=1 and an=−4an−1 for n≥2.
The given sequence is defined recursively as follows: a1=1 and an=−4an−1 for n≥2.
To find the explicit formula for this sequence, we need to express the nth term of the sequence in terms of n without any reference to the previous terms.
Let's write out the first few terms of the sequence to look for a pattern:
a1=1
a2=−4a1=−4
a3=−4a2=16
a4=−4a3=−64
a5=−4a4=256
It seems that each term is obtained by multiplying the previous term by -4. In general, we can write:
an=−4n−1
This is the explicit formula that represents the given sequence. We can check that it satisfies the recursive formula by substituting it into the recurrence relation:
a n =−4a n−1 = −4(-4^(n-2)) = -4^(n-1) = -4n-1
Therefore, the explicit formula an=−4n−1 represents the sequence defined recursively by a1=1 and an=−4an−1 for n≥2.
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can you help me with this math
Answer: D
Step-by-step explanation:
If u know that the total is 423, u can narrow the options down. They mention the variables with each food. Substitute and find the answer. Hope it helps!
Hello ! My little sister is having a panic attack over her homework, and I decided I wanted to help her, but I have no idea what this means lol. So I would LOVE if someone gave me the answer to this. :) the question: A group of interacting or interdependent elements forming a complex whole is a(n)
The word bank: temperature, potential energy, matter, kinetic energy, states, conduction, system, energy
THANK YOU ! :)
Answer: System
Step-by-step explanation:
The question defined a system.
For future reference
Temperature is a measure of the average kinetic energy of molecules
Potential Energy is a measure of how much energy can be turned into kinetic energy (think a ball about to be dropped)
Matter is a term for stuff, everything is made of matter, atoms and molecules
Kinetic energy is energy in motion (think a falling object)
States are the position or form things are in, this is probably going to be used as "states of matter" (solids, liquids, gasses)
Conduction is the transfer of heat or electricity through two objects touching
Energy is "the ability to do work" think of energy like a general term for potential and kinetic energy, undefined if you ill
Hope this helps
what is the equation of the blue line
to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below
[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{9}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{9}-\stackrel{y1}{5}}}{\underset{\textit{\large run}} {\underset{x_2}{3}-\underset{x_1}{1}}} \implies \cfrac{ 4 }{ 2 } \implies 2[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{ 2}(x-\stackrel{x_1}{1}) \\\\\\ y-5=2x-2\implies {\Large \begin{array}{llll} y=2x+3 \end{array}}[/tex]
3) If the students earned $420 for the trip, how much would they be able to spend on each item below?
a.Admissions ______
b.Food ___________
c.Souvenirs _______
Answer: B. Food
Step-by-step explanation:
At a sale this week a desk is being sold for $247 this is a 24% discount from the original price what is the original price
The value of the original price is, $1,029
We have to given that;
At a sale this week a desk is being sold for $247 this is a 24% discount from the original price.
Let us assume that, the original price is x
Hence, we can formulate;
24% of x = 247
Solve for x;
24/100 × x = 247
24x = 24700
x = 24700/24
x = 1,029
Thus, The value of the original price is, $1,029
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the pic has everything in it
∠FGK and ∠FGH are the pairs of non-overlapping angles that share a ray to make a right angle. option C
What is the right triangle?A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.
In the given figure, we need to find the pairs of non-overlapping angles that share a ray to make a right angle.
We can see that ∠EGF and ∠HGF make a right angle but line FG is overlapping or common in both the angles.
∠FGK and ∠FGH make a right angle and pairs of non-overlapping angles.
So, this is the correct pair for the condition.
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Find the Volume of a cone with a base diameter of 10 ft and a height of 6 ft write the exact volume in terms of pi and be sure to include the correct unit in your answer
The Volume of a cone is,
⇒ V = 50π units³
We have to given that;
In a cone,
Diameter = 10 feet
Height = 6 feet
Hence, Radius of cone,
r = 10/2 = 5 feet
Since, Volume of cone is,
V = 1/3 (πr²h)
V = 1/3 (π × 5² × 6)
V = 50π units³
Thus, The Volume of a cone is,
⇒ V = 50π units³
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Carry out the following subtraction: 6 + 13i – (7 – 15i ). Simplify your answer into a + bi form.
Answer:
6 + 13i – (7 – 15i)
= 6 + 13i - 7 + 15i (distribute the negative sign)
= -1 + 28i (combine like terms)
Therefore, the answer is -1 + 28i in the form of a + bi.
Step-by-step explanation:
Which statement correctly compares the spreads of the distributions?
A. The range of penguin heights is greater at Countyside Zoo than at
Park Zoo
B. The range of penguin heights is greater at Park Zoo than at
Countyside Zoo.
C. The mode of penguin heights at Countyside Zoo is greater than the mode at Park Zoo
D. The ranges of penguin heights are the same.
Answer:
A
Step-by-step explanation:
Range = Highest value - Lowest value
At Park Zoo:
R = 44 - 38
= 6
At Countryside Zoo;
R = 45 - 38
= 7
So, it cannot be D, because the ranges are not the same and it cannot be B because the range is greater at countryside zoo
The mode is the value that appears the moat frequently.
At Park zoo, the mode is 41 since it has the most dots.
At Countryside zoo, the mode is 40, since it has the most dots
So, it cannot be C because Park zoo has a greater Mode.
so, the only answer is A
PLEASE HELPLL question 9
The distance between you and your friend is 61.8 feet.
How to find the side of a triangle?You let 52 feet of string on your kite. Your friend is standing in an unknown distance from you, with the kite flying on air somewhere between you two. From your friend the angle of elevation is 70 degrees. The angle formed at the kite is 64 degrees.
Therefore, the distance between you and your friend can be calculated as follows:
The situation forms a triangle. The distance between them can be found using sine law.
Hence,
a / sin A = b / sin B = c / sin C
Therefore,
52 / sin 70 = b / sin 64
where
b = distance between the two of themTherefore,
52 / sin 70 = b / sin 64
cross multiply
52 sin 64 = b sin 70
b = 52 sin 64 / sin 70
b = 47.8413539862 / 0.77389068155
b = 61.8175709726
b = 61.8 feet
Therefore,
distance between them = 61.8 feet
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in a time-series graph, the horizontal axis is marked off in units of
In a time-series graph, the horizontal axis is marked off in units of time, such as days, months, quarters, or years. The time intervals between the marks on the horizontal axis are usually equal, which allows the graph to show changes in the variable being measured over time.
The vertical axis of the graph shows the values of the variable being measured, and the line or curve connecting the points on the graph represents the trend of the data over time. Time-series graphs are often used to visualize patterns and trends in economic, financial, and other types of data that vary over time.
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a variable with equal distances between score units which also has a true meaningful zero is:
A variable with equal distances between score units and a true meaningful zero is called a ratio variable.
Ratio variables have the properties of interval variables, meaning that the distances between consecutive values are consistent, and they also have an absolute zero point. The true zero allows for meaningful ratios to be calculated between values. For example, if we have a variable representing weight, a value of 0 indicates the absence of weight, and we can make meaningful statements such as "one object is twice as heavy as another."
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Simplify.
7/2/2 × 7⁹ = 7 [?]
79
Hello,
kᵃ x kᵇ = kᵃ⁺ᵇ
kᵃ ÷ kᵇ = kᵃ⁻ᵇ
7⁹/7² x 7⁹
= 7⁹⁻² x 7⁹
= 7⁷ x 7⁹
= 7⁷⁺⁹
= 7¹⁶
2.2 consider the dimensions of the figure below FIGURE E 2.3 z+y #+y 2.2.1 Calculate the area of figure E in terms of x (4) 2.2.2 Compare the total area of figures A, B, C & D with the area of (2) figure E and draw a conclusion. (6) Answer the following Questions based on the area of figure E 2.3.1 How many terms does the expression have? 2.3.2 What is the coefficient of x²? 2.3.3 What is the coefficient of x? 2.3.4 What is the degree of the expression? 2.3.5 What is the name of the algebraic expression? 2.3.6 Given x = 3;y=-2 determine the value of the expression
The area of the figure E in terms of x is x² + 2xy + y²
The area of each figure is A = x², B = xy, C = y² and D = xyThe number of terms is 3The coefficient of x² is 1The coefficient of x is 2yThe degree of the expression is 2The name is a sum of squaresThe value is 25 if x = 3 and y = 2Calculating the area of figure E in terms of xThe figure is added as an attachment
The dimensions of the figures are
A = x by x
B = x by y
C = y by y
D = x by y
So, we have
Area of A = x²
Area of B = xy
Area of C = y²
Area of D = xy
This means that the area of E is
E = x² + 2xy + y²
From the above, we can see that the expression has 3 terms
Also, we have the coefficient of x² to be 1 and the coefficient of x to be 2y
The degree of the expression is 2
This is because the highest power is 2
The name of the algebraic expression is a sum of squares
Lastly, we have
x = 3 and y = 2
This means that
Area = 3² + 2 * 3 * 2 + 2²
Evaluate
Area = 25
Hence, the value of the expression is 25
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In a group trivia game, a team earns 5 points for a correct answer, and -2 points for a wrong answer. There are 15 questions in the game. Let a represent the number of correct answers. Answering gives 30 points!
When x = 8, 26 is the right answer.
We have to given that;
A team in a group trivia game receives 5 points for a right response and -2 points for an incorrect one.
In addition, the game has 15 questions.
Since, We know that;
According to the definition of a mathematical expression, it is a grouping of variables and functions that are created using addition, subtraction, multiplication, and division.
Now, We have find the expression as;
For a team, the correct answer is worth 5 points, and the incorrect response is worth -2 points.
In addition, the game has 15 questions.
Hence, We get;
⇒ 5x - 2 (15 - x)
At x = 8;
⇒ 5 × 8 - 2 (15 - 8)
⇒ 40 - 2 × 7
⇒ 40 - 14
⇒ 26
Thus, The correct solution when x = 8 is,
⇒ 26
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Evaluate the following expression:
688 + 848 = ?
Answer:
1536Step-by-step explanation:
Evaluating the expression gives:
688 + 848 = 1536Therefore, the value of the expression is 1536.
The graph of F(x), shown below, has the same shape as the graph of G(x) = x³
x2, but it is shifted to the left 1 unit. What is its equation?
F(x)=
OA. F(x) = (x-1)3³ -(x-1)²
B. F(x) = (x + 1)³ - (x + 1)²
C. F(x)=x²-x²-1
O D. F(x)=x²-x²+1
Since the graph of F(x), has the same shape as the graph of G(x) = x³ - x², but it is shifted to the left 1 unit, its equation is: B. F(x) = (x + 1)³ - (x + 1)²
What is a translation?In Mathematics and Geometry, the translation of a graph to the left simply means subtracting a digit from the numerical value on the x-coordinate of the pre-image;
g(x) = f(x + N)
On the other hand, the translation a geometric figure or graph upward simply means adding a digit to the numerical value on the positive y-coordinate (y-axis) of the pre-image; g(x) = f(x) + N.
Based on the information provided, we have the following transformation:
(x, y) → (x - 1, y)
G(x) = x³ - x² → F(x) = (x + 1)³ - (x + 1)²
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Complete Question:
The graph of F(x), shown below, has the same shape as the graph of G(x) = x³ - x², but it is shifted to the left 1 unit. What is its equation?
F(x) =
OA. F(x) = (x-1)3³ -(x-1)²
B. F(x) = (x + 1)³ - (x + 1)²
C. F(x)=x²-x²-1
O D. F(x)=x²-x²+1
what is the formula of this geometric sequence 1,2,4,8
Answer:
an=a1rn−1 a n = a 1 r n - 1
Step-by-step explanation:
multiplying the previous term in the sequence by 2 gives the next term
I hope this helps...
Have a nice day<3
Help pleeeeeeesseee asap
Answer:
90 square feet
Step-by-step explanation:
area of rectangle = 12 X 30 = 360 square feet
look at the green triangle in top left. it has area 0.5 X (12 - 3) X (30)
= 0.5 X 9 X 30 = 135
area of other green triangle is equal (they are congruent)
so, the area of the path is 360 - 2 (135) = 360 - 270 = 90 square feet
evaluate begin inline style sum from n equals 3 to 7 of end style left parenthesis n squared plus 2 n right parenthesis .
The sum of the given expression from n = 3 to 7 is 241.
The given expression is to be evaluated from n = 3 to 7. The given expression is,begin{align*}\sum_{n=3}^{7} (n^2 + 2n)\end{align*}Now, we can substitute the values of n and add them up to evaluate the expression. So, the sum of the expression is, \begin{align*}\sum_{n=3}^{7} (n^2 + 2n) &= (3^2 + 2 \cdot 3) + (4^2 + 2 \cdot 4) + (5^2 + 2 \cdot 5) \\&\qquad+ (6^2 + 2 \cdot 6) + (7^2 + 2 \cdot 7)\\&= 9 + 20 + 35 + 72 + 105\\&= \boxed{241}.\end{align*}.
Mathematical statements are called expressions if they have at least two terms that are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations. As an illustration, the phrase x + y is one where x and y are terms with an addition operator in between. There are two sorts of expressions in mathematics: numerical expressions, which only contain numbers, and algebraic expressions, which also include variables.
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