Answer:
x = 30
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , thus
x + 4x + 30 = 180
5x + 30 = 180 ( subtract 30 from both sides )
5x = 150 ( divide both sides by 5 )
x = 30
Pablo is simplifying the expression below.
Negative one-fourth (8 x + 12) minus (negative 2 x + 5)
He used the steps below to simplify the expression.
Negative one-fourth (8 x + 12) minus (negative 2 x + 5) = negative 2 x minus 3 + 2 x minus 5 = negative 8
Which statement is true about the steps that Pablo used to simplify the expression?
A He combined like terms inside the parentheses, distributed Negative one-fourth over (8 x + 12), and then combined the remaining like terms.
B He combined like terms inside the parentheses, distributed Negative one-fourth over (Negative 2 x + 5), and then combined the remaining like terms.
C He distributed Negative one-fourth over (8 x + 12), distributed 1 over (Negative 2 x + 5), and then combined like terms.
D He distributed Negative one-fourth over (8 x + 12), distributed –1 over (Negative 2 x + 5), and then combined like terms.
Answer:
B
Step-by-step explanation:
got it right on edge
Answer:
D: He distributed Negative one-fourth over (8 x + 12), distributed –1 over (Negative 2 x + 5), and then combined like terms.
Step-by-step explanation:
I did the test and got it right.
A doctor's office is deciding between buying 2 different sized cups. The 2 cups are shown. -1.5in -2 in- Before deciding which size cup to buy, they determine how much water each size cup can hold. How much more water, in cubic inches, can the larger cup hold than the smaller cup? Round your answer to the nearest hundredth. Use the pi key on your calculator for pi. (On the EOC, this problem specifically says - in cubic inches so you need to add that to your answer. EX. 5.81 cubic inches) N
The larger cup can hold 144.51 in³ more water than the smaller cup.
How to obtain the volume of a cone?The volume of a cone of radius r and height h is given by one third of the multiplication of pi = 3.14 by the radius squared by the height, hence:
V = 3.14r²h/3
V = 1.0472r²h.
For the smaller cup, the dimensions are r = 2 in and h = 3 in, hence the volume is given as follows:
V = 1.0472 x 2² x 3
V = 12.57 in³.
For the larger cup, the dimensions are r = 5 in and h = 6 in, hence the volume is given as follows:
V = 1.0472 x 5² x 6
V = 157.08 in³.
Then the difference is of:
157.08 - 12.57 = 144.51 in³.
Missing InformationThe cones are given by the image presented at the end of the answer.
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Im not sure what to do
Answer:
\(h(-1)=\frac{-2}{3}\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
\(h(x)=\frac{2x-6}{4x^2+8}\)
h(-1) is x = -1
Step 2: Evaluate
Substitute: \(h(-1)=\frac{2(-1)-6}{4(-1)^2+8}\)Exponents: \(h(-1)=\frac{2(-1)-6}{4(1)+8}\)Multiply: \(h(-1)=\frac{-2-6}{4+8}\)Subtract: \(h(-1)=\frac{-8}{4+8}\)Add: \(h(-1)=\frac{-8}{12}\)Simplify: \(h(-1)=\frac{-2}{3}\)What is the solution to -2|x − 1| = -4? A. x = 3 B. x = -1 or x = 3 C. x = 1 or x = 3 D. No solutions exist.
Answer:
B
Step-by-step explanation:
-2|x - 1| = -4
|x - 1| = 2
since we are dealing with a function that brings 2 values to the same result, the reverse function (needed to find the values of x that create the result y) has 2 branches :
(x - 1) = 2
and
(x - 1) = -2
x - 1 = 2
x = 3
x - 1 = -2
x = -1
therefore, B is the right answer.
Find the cube roots of i. Round all numbers to 3 decimal places. Enter 0s or 1s in the appropriate boxes to answer 0 + i, 1+0i, etc.
The cube roots of i are:
0.866 + i(0.5)-0.866 + i(0.5)0 - iGiven:
cube root of i
i can be written as cosπ/2 + i sinπ/2
i = cos π/2 + i sinπ/2
general form:
i = cos (2kπ + π/2) + isin(2kπ + π/2) for k=0,1,2
= cos (4kπ+π/2) + i sin(4kπ+π/2)
= cos (4k+1)π/6 + i sin(4k+1) π/6
k = 0: i¹/³ = cos π/6 + i sin π/6
= √3/2 + i 1/2
K = 1, i¹/³ = cos(5π/6) + i sin(5π/6)
= cos(π - π/6) + i sin (π-π/6)
= - cos (π/6) + isin(π/6)
= -√3/2 + i 1/2
k = 2, i¹/³ cos(3π/6) + i sin(3π/6)
= cos (3π/2) + i sin(3π/2)
= cos(π+π/2) + i sin(π+π/2)
= -cos(π/2) - i sin(π/2)
= 0 - i
= -i
Hence we get the required roots.
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Write an equation in slope intercept form for the line that passes through (5, -4) and is perpendicular to the line described by 2x-10y=0
Trying to get some help
What is operationalization of variable in research?
Operationalization of variables in research involves defining a concept in a way that it can be measured or observed.
It is the process of taking abstract concepts, such as attitudes, beliefs, or behaviors, and defining them in a way that they can be measured using empirical methods. This is done by creating a set of specific and concrete indicators or measures that represent the concept being studied. The operationalization of variables is a critical step in the research process, as it ensures that the data collected is both reliable and valid, and can be used to draw meaningful conclusions and make predictions.
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A data firm records large amount of data. Historically, .9% of the pages of data recorded by the firm contain errors If 200 pages of data are randomly selected, What is the probability that six or more pages contain errors? b What is the probability that more than 10 pages contain errors? What is the probability that none ofthe pages contain errors? d. What is the probability that fewer than five pages contain errors?
There is a 0.0876 percent probability that six or more pages will include mistakes. There is a 1.64 x 10⁻⁶ chance that more than 10 pages may include mistakes.
What purposes does probability serve?Information about possibility of occurrence is provided by probability. For instance, weather patterns are used by meteorologists to predict the possibility of rain. In order to understand the relationship between exposures and the risk of health outcomes, epidemiology uses probability theory.
a) Chance that six or more pages may have mistakes:
To get this probability, we can utilise the binomial probability formula:
P(X>=6) = 1-P(X<6)
where X is the number of pages with errors.
P(X<6) = P(X=0)+P(X=1)+P(X=2) +P(X=3)+P(X=4)+P(X=5)
For each term, using the binomial probability formula, we obtain:
P(X < 6) = 0.9124
Therefore, P(X >= 6) = 1 - P(X < 6) = 1 - 0.9124 = 0.0876
Hence, there is a 0.0876 percent chance that six or more pages will include errors.
b) Chance that there are errors on more than 10 pages:
Using the same method, we can discover:
P(X > 10) = P(X = 11) + P(X = 12) + ... + P(X = 200)
To find the likelihood, we can use a calculator or software because performing the math by hand can be very time-consuming. Using a calculator for the binomial distribution, we obtain:
P(X > 10) = 1.64 x 10⁻⁶ (rounded to 3 decimal places)
Hence, there is a roughly 10% chance that there will be errors on more than 10 pages. 1.64 x 10⁻⁶.
c) Probability that none of the pages contain errors:
P(X = 0) can be calculated using the binomial probability formula:
P(X = 0) = (200 choose 0) * (0.009)⁰ * (1 - 0.009)²⁰⁰
= 0.8196
As a result, 0.8196 percent of the pages are likely to be error-free.
d) Probability that fewer than five pages contain errors:
P(X<5)=P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)
Again, using the binomial probability formula for each term, we get:
P(X < 5) = 0.8151
Hence, the likelihood that fewer than five pages are mistake-free is 0.8151.
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show workings out of 20% of 16000
me the investment company institute sampled 300 american families to estimate that the percent owning stocks or stock funds is 46% this year. what is the p value for your hypothesis test? if required, round your answer to four decimal places. do not round your intermediate calculations.
The p value for your hypothesis test is 0.0832.
To calculate the p-value for a hypothesis test, we need to know the null hypothesis, the alternative hypothesis, the test statistic, and the level of significance (alpha). Let's assume that the null hypothesis is that the percentage of American families owning stocks or stock funds is equal to 50%, and the alternative hypothesis is that it is not equal to 50%.
The test statistic for a hypothesis test of a proportion is given by:
z = \(\frac{p-P}{\sqrt{\frac{P(1-P)}{n} } }\)
where p is the sample proportion (0.46), P is the hypothesized population proportion under the null hypothesis (0.5), n is the sample size (300), and sqrt denotes the square root function.
Plugging in the values, we get:
z = \(\frac{0.46-0.5}{\sqrt{\frac{0.5*0.5}{300} } }\) = -1.732
To find the p-value, we need to find the area under the standard normal curve to the left and right of the test statistic (since this is a two-tailed test). Using a standard normal table or calculator, we find that the area to the left of -1.732 is 0.0416, and the area to the right is also 0.0416 (since the standard normal curve is symmetric).
Therefore, the p-value for this hypothesis test is the sum of the areas in both tails:
p-value = 0.0416 + 0.0416 = 0.0832
Rounding to four decimal places, the p-value is 0.0832.
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please try to do it this is where we help each other
Answer:
1. x^8
2. x^8
3. 1024
4. -21a^4
5. z^10
6. -9x^7
7. 42r^7
8. b^7
9. 8a^11
10. 12p^12
Step-by-step explanation:
mark him brainlyist !!
Consider the following numerical example of the IS-LM model: C=233+0.47Y D I=143+0.22Y−1,094i G=299 T=239 i=0.06 Derive the IS relation. (Hint: You want an equation with Yon the left side of the equation and everything eise on the right.) Y= ( (Round your calculations of the intercept and slope terms to two decimal places.)
The IS relation is given by: Y = (intercept value rounded to two decimal places) + (slope value rounded to two decimal places) in the numerical example of the IS-LM model.
To derive the IS relation, we need to equate aggregate demand (AD) to aggregate supply (AS). Aggregate demand consists of consumption (C), investment (I), government spending (G), and net exports (NX). In this case, we assume net exports to be zero.
Given:
C = 233 + 0.47YD
I = 143 + 0.22Y - 1,094i
G = 299
T = 239
Aggregate demand (AD) = C + I + G
Substituting the given equations into AD:
AD = (233 + 0.47YD) + (143 + 0.22Y - 1,094i) + 299
Simplifying:
AD = 233 + 143 + 299 + 0.47YD + 0.22Y - 1,094i
Combining like terms:
AD = 675 + 0.47YD + 0.22Y - 1,094i
Since we want an equation with Y on the left side, we need to express YD in terms of Y by substituting YD = Y - T.
AD = 675 + 0.47(Y - T) + 0.22Y - 1,094i
AD = 675 + 0.47Y - 0.47T + 0.22Y - 1,094i
Combining like terms again:
AD = (0.47Y + 0.22Y) + (675 - 0.47T - 1,094i)
AD = 0.69Y - 0.47T - 1,094i + 675
Comparing with the IS relation Y = a + bAD, we have:
Y = 0.69Y - 0.47T - 1,094i + 675
Rearranging terms to have Y on the left side:
Y - 0.69Y = -0.47T - 1,094i + 675
0.31Y = -0.47T - 1,094i + 675
Dividing both sides by 0.31:
Y = (-0.47T - 1,094i + 675) / 0.31
Now, we can calculate the intercept and slope terms:
Intercept term = (-0.47T - 1,094i + 675) / 0.31
Slope term = 1 / 0.31
Rounding these values to two decimal places, the IS relation is:
Y = Intercept term + Slope term = (intercept value rounded to two decimal places) + (slope value rounded to two decimal places).
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(-5,3) and (7,9) what is the slope?
Answer:
0.5
Step-by-step explanation:
It took 1700 J of work to stretch a spring from its natural length of 2 m to a length of 6 m. Find the spring constant k. k = Σ N/m
It took 1700 J of work to stretch a spring from its natural length of 2 m to a length of 6 m. The spring constant k will be 212.5 N/m.
The potential energy stored in a spring is given by the formula:
PE = (1/2) kx^2
where k is the spring constant, x is the displacement from the equilibrium position, and PE is the potential energy.
In this problem, the spring is stretched from its natural length of 2 m to a length of 6 m, so the displacement is x = 6 m - 2 m = 4 m.
The work done on the spring is equal to the change in potential energy, so:
Work = PE final - PE initial
1700 J = (1/2) k(4² - (1/2) k(0)²
1700 J = 8k
k = 212.5 N/m
Therefore, the spring constant is 212.5 N/m.
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what is x+x+x+x+x+x+x+x+x+x+b+b+b+b+3=
Answer:
10x+4b+3
Step-by-step explanation:
x+x+x+x+x+x+x+x+x+x+b+b+b+b+3
There are 10 x
4 b
and one number
10x+4b+3
Answer:
10x+4b+3
Step-by-step explanation:
x+x+x+x+x+x+x+x+x+x+b+b+b+b+3
So when we add them we get 10x and 4b, which makes the equation
=> 10x+4b+3
QUICK I NEED HELP ANSWERING THIS I WILL GIVE YOU BRAINLIST
Answer:
Step-by-step explanation:
Rule: the largest angle is ALWAYS opposite the longest side, and the converse is also true: the longest side is always opposite the largest angle. So the largest side is E which is B
Select the correct answer from the drop-down menu. An energy drink company claims that its product increases students' memory levels. To support its claims, the company issues advertisements claiming that 8 out of 10 people (chosen randomly from across the country) who tried their product reported improved memory. The missing component in this study is a .
Here the missing component in this study is control group.
What is a control group in an experiment?A control group is a group of participants used to compare different groups in a test or experiment. Consists of participants who did not receive an experimental treatment. Some experiments use multiple control groups to collect more information and improve the accuracy of the results. For example, many medical studies include positive, negative, and placebo control groups to better understand the effectiveness of a treatment or drug.
Given the circumstances, the energy drink company claims that its products boost memory in students. To back up its claims, the company publishes an ad claiming that eight out of 10 people (randomly selected across the country) who tried the product reported improved memory.
But they didn't compose a control group to compare the results for test.
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The complete question is as follows:
An energy drink company claims that its product increases students' memory levels. To support its claims, the company issues advertisements claiming that 8 out of 10 people (chosen randomly from across the country) who tried their product reported improved memory. The missing component in this study is a
A) control group
B) sample group
C) population
D) test group
Answer:
A. Control Group
Plato
How is adding and subtracting measures of time like adding and subtracting whole numbers?
Adding and subtracting measures of time are not like adding and subtracting whole numbers. When calculating the passage of time, add the hours first, followed by the minutes. then seconds
What are whole numbers ?
The term "whole numbers" refers to numbers without fractions, which are made up of positive integers and zero. The set of integers it contains are 0 through 9, with the letter "W" standing in for it. The total value of zero is nothing or a null value. Whole Numbers: W = "0," "1, "2, "3, "5, "6, "7," "8, "9," etc."
When calculating the passage of time, add the hours first, followed by the minutes. Since there are only 60 minutes in an hour, no time can have a minute value higher than 60. In this instance, take away 60 minutes and then add one more to the hour.
Example: Add 1:40 and 3:30
Here, left side of the symbol ":" represents hours
right side of the symbol ":" represents minutes
While adding, add only hours first:
1+3=4 hours
Now add minutes
40+30 = 70 minutes
60 minutes = 1 hours
70 minutes = 60 minutes+10 minutes
= 1 hours 10 minutes
add this 1 hour to previously calculated 4 hours
4+1 = 5 hours
10 minutes left
After adding, we found 5 hours 10 minutes
Similarly, consider hours, minutes and seconds separately and use the information below:
1 hour = 60 minutes
1 minute = 60 seconds
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(67,38,21,89,23,36,82,11,53,77,29,17)
Search for values 29 and 30
Construct the Recursive Diagram of the Binary Search Algorithm
for each one of the values (29 and 30).
The value 30 is not present in the given data set.The given data set is: 67,38,21,89,23,36,82,11,53,77,29,17
In order to search for the values 29 and 30 in the data set using binary search algorithm, the given data set should be sorted in ascending order.
Arranging the given data set in ascending order, we get11, 17, 21, 23, 29, 36, 38, 53, 67, 77, 82, 89
a) Search for value 29 Binary search algorithm for the value 29:
Step 1: Set L to 0 and R to n - 1, where L is the left index, R is the right index, and n is the number of elements in the data set.
Step 2: If L > R, then 29 is not present in the data set. Go to Step 7.
Step 3: Set mid to the value of ⌊(L + R) / 2⌋.Step 4: If x is equal to the value at index mid, then return mid as the index of the element being searched for.
Step 5: If x is less than the value at index mid, then set R to mid - 1 and go to Step 2. This sets a new right index that is one less than the current mid index.
Step 6: If x is greater than the value at index mid, then set L to mid + 1 and go to Step 2. This sets a new left index that is one more than the current mid index.
Step 7: Stop. The algorithm has searched the entire data set and 29 was not found in the given data set. The recursion diagram for the binary search algorithm for the value 29 is:We can see that the binary search algorithm for the value 29 has terminated in the fifth iteration.
Thus, the value 29 is present in the given data set.b) Search for value 30Binary search algorithm for the value 30:
Step 1: Set L to 0 and R to n - 1, where L is the left index, R is the right index, and n is the number of elements in the data set.
Step 2: If L > R, then 30 is not present in the data set. Go to Step 7.
Step 3: Set mid to the value of ⌊(L + R) / 2⌋.
Step 4: If x is equal to the value at index mid, then return mid as the index of the element being searched for.
Step 5: If x is less than the value at index mid, then set R to mid - 1 and go to Step 2. This sets a new right index that is one less than the current mid index.
Step 6: If x is greater than the value at index mid, then set L to mid + 1 and go to Step 2. This sets a new left index that is one more than the current mid index.
Step 7: Stop. The algorithm has searched the entire data set and 30 was not found in the given data set. The recursion diagram for the binary search algorithm for the value 30 is:
We can see that the binary search algorithm for the value 30 has terminated in the fifth iteration.
Thus, the value 30 is not present in the given data set.
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On the interval [0,2?)determine which angles are not in the domain of the given functions.
What angles are NOT in the domain of the secant function on the given interval?
What angles are NOT in the domain of the cosecant function on the given interval?
Angles π/2 and 3π/2 and for 0 and π are not in domain of secant function and cosecant function on given interval [0, 2).
The secant function is defined as the reciprocal of the cosine function, which means it is not defined when the cosine function is equal to zero.
In the interval [0, 2), the cosine function is equal to zero at π/2 and 3π/2.
The angles π/2 and 3π/2 are not in the domain of the secant function on the given interval [0, 2).
The cosecant function is defined as the reciprocal of the sine function, which means it is not defined when the sine function is equal to zero.
In the interval [0, 2), the sine function is equal to zero at 0 and π.
The angles 0 and π are not in the domain of the cosecant function on the given interval [0, 2).
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4160/65= show your work
Answer: 64
Step-by-step explanation: 4160/65 64
it took samatha 325 minutes to cook an 18 lb turkey.How many minutes per pound did it take to cook the turkey ?
Answer:
Below.
Step-by-step explanation:
325/18
= 18.055... minutes
= 18 minutes to nearest minute.
please uhm help me heh
Answer:
d=90°
e=81°
f=99°
Step-by-step explanation:
To find f
180-81
=99
Answer:
d = 90°
e = 81°
f = 99°
Step-by-step explanation:
Have a nice day!
in what method of periodization might an athlete perform five sets of five repetitions at 85% of 1rm on the first day of the week, five sets of fourteen repetitions at 62.5% of 1rm on the next training day, and five sets of two repetitions at 90% of 1rm on the last training day of the week? group of answer choices traditional periodization undulating periodization or nonlinear periodization linear periodization
The method of periodization that an athlete performs is traditional periodization method.
Given,
An athlete perform five sets of five repetitions at 90% of 1rm on the first day of the week, five sets of fourteen repetitions at 85% of 1rm on the next training day, and five sets of two repetitions at 62.5%of 1rm on the last training day of the week;
Here,
The example above, where the percentage of one-repetition maximum (1RM) decreases as the training day progresses, is essentially a traditional periodization method.
As a result, during the course of the training cycle, the athletes' completed work gradually grows. As a result, as the load increases over time, there is a corresponding decrease in volume.
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A number cube labeled 1 through 6 is rolled 5 times. What is the probability of landing on 5 each time?
Answer:
1/6
Step-by-step explanation:
can i get brainliest pls
Find the perimeter. Simplify your answer.
Answer:
The answer is 19s +23
Step-by-step explanation:
You add together all the sides and simplfy down.
4s+10+s+4+4s+10+10s-1
Add all the like terms
until it gets to 19s+23
Answer:
19s + 23
Step-by-step explanation:
P = 2(4s + 10) + s+4+19s-1
P = 8s + 20 + s + 4 + 10s - 1
P = 19s + 23
how to solve 15=x-3 ;_;
how to find the roots of a third degree polynomial
To find the roots of a third-degree polynomial, also known as a cubic polynomial, we can use a method called factoring or apply the cubic formula.
The first step is to check if there are any common factors that can be factored out. Next, we can use the rational root theorem to determine potential rational roots. By applying synthetic division or long division, we can divide the polynomial by the potential roots to see if they are indeed roots.
If a rational root is found, we can then use synthetic division to factor out the corresponding quadratic equation. Finally, we can solve the quadratic equation using methods like factoring, completing the square, or using the quadratic formula to find the remaining roots.
It's important to note that not all cubic polynomials can be easily factored or solved algebraically. In such cases, numerical methods or approximation techniques may be used to find the roots.
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To find the roots of a third degree polynomial, you can follow these steps: 1) Check for rational roots using the Rational Root Theorem. 2) Use synthetic division to divide the polynomial by a linear factor. 3) Factor the resulting quadratic equation. 4) Solve for the roots by setting each factor equal to zero.
To find the roots of a third degree polynomial, we can follow these steps:
First, check if there are any rational roots using the Rational Root Theorem. The Rational Root Theorem states that if a polynomial has a rational root, it will be of the form p/q, where p is a factor of the constant term and q is a factor of the leading coefficient.Use synthetic division to divide the polynomial by a linear factor. Synthetic division is a method used to divide a polynomial by a linear factor, which helps us find the remaining quadratic equation.Factor the quadratic equation obtained from synthetic division. This can be done by using the quadratic formula or by factoring further if possible.Once the quadratic equation is factored, we can find the roots by setting each factor equal to zero and solving for the variable.Remember, the Fundamental Theorem of Algebra states that every polynomial equation of degree n has exactly n complex roots, counting multiplicities.
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a) Calculate the size of angle x in the diagram
below.
b) Work out the bearing of A from B.
The angle x in the diagram is 98 degrees.
How to find the angles in parallel lines?When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angle, alternate exterior angles, vertically opposite angles, same side interior angles etc.
Therefore, let's find the angle of x using the angle relationships as follows:
The size of the angle x can be found as follows:
82 + x = 180(same side interior angles)
Same side interior angles are supplementary.
Hence,
82 + x = 180
x = 180 - 82
x = 98 degrees
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