Classify the following polynomial: 3x² + 7x - 5
Answers
Answer:
trinomial
Step-by-step explanation:
Since this polynomial has 3 different terms, this is, in fact, a trinomial.
Hope this helps :)
Related Questions
Write a quadratic equation that has only one real-number solution
Answers
The equation that has only one real number solution is
4a²x²+4abx+ b² = 0 and the solution is x = -b/2a where a, b, and c are real values.
What is a quadratic equation?Any equation of the form \(\rm ax^2+bx+c=0\) Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
\(\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}\)
If the quadratic equation has only one solution, then
\(\rm b^2 - 4ac = 0\) or
\(\rm b^2 = 4ac\)
\(\rm x = \dfrac{-b}{2a}\)
2ax = - b
(2ax+b) = 0
(2ax+b)² = 0 (square on both sides)
\(\rm 4a^2x^2 + 4abx+ b^2 = 0\)
Thus, the equation that has only one real number solution is
4a²x²+4abx+ b² = 0 and the solution is x = -b/2a where a, b, and c are real values.
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can simplify this please 3−10(4p−1)
Answers
Answer:
- 40p + 13
Step-by-step explanation:
Given
3 - 10(4p - 1) ← distribute the parenthesis by - 10
= 3 - 40p + 10 ← collect like terms
= - 40p + 13
If the selling division is setting the transfer price, it should be set equal to the selling division is A) differential outlay costs. B) differential outlay costs plus the foregone contribution to the organization of making the transfer internally. C) selling price less the variable costs. D) selling price less the variable costs plus the foregone contribution to the organization of making the transfer internally.
Answers
The transfer price set by the selling division should be equal to the selling price less the variable costs plus the foregone contribution to the organization of making the transfer internally. Option D.
The transfer price refers to the price at which goods or services are transferred between divisions within the same organization. When the selling division sets the transfer price, it needs to consider various factors. Option D, selling price less the variable costs plus the foregone contribution to the organization of making the transfer internally, is the most appropriate choice.
The selling price less the variable costs ensures that the selling division covers its direct costs associated with the transferred goods or services. This ensures that the division remains financially viable and does not incur losses. However, it is also important to consider the opportunity cost of making the transfer internally.
The foregone contribution to the organization represents the potential profit or contribution that the selling division could have made if it had sold the goods or services to external customers instead of transferring them internally. By including this foregone contribution in the transfer price, the selling division accounts for the potential value it could have added to the organization.
In conclusion, the transfer price set by the selling division should consider both the variable costs associated with the transfer and the foregone contribution to the organization. Option D, selling price less the variable costs plus the foregone contribution to the organization of making the transfer internally, captures both of these factors and provides a comprehensive approach to setting the transfer price.
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Round 14.762 toy the nearest...
Tenth
Whole number
Hundreth
Answers
Answer:
tenth is 14.7 whole number is 15 hundredth is 14.76
Please help me with this please and thank you
Answers
Answer:
Step-by-step explanation:
Answer A represents an exponential equation; see below for a demo.
In Answer A we have (1, 3), (2, 3²), (3,3³)
5. A battery manufacturing company manufactured 450 batteries on a day and found
that 6 were defective. If the company plans to manufacture 12,800 batteries in a month,
approximately how many batteries may be defective?
A. 160
B.171
C. 186
D. 210
Answers
The number of defective batteries is 171.
How to find the number of batteries that is defective?A battery manufacturing company manufactured 450 batteries on a day and found that 6 were defective.
The company plans to manufacture 12,800 batteries in a month, hence the amount of battery that is defective can be calculated as follows:
Therefore,
450 batteries = 6 defective
12800 = ?
Hence,
12800 × 6 ÷ 450 = 76800 / 450
Therefore,
number of defective batteries = 76800 / 450 = 170.666666667 = 171
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please help i need it ill mark brainlest
Answers
where is the questions?
Step-by-step explanation:
I can help you but, there's no questions?
Which of the following is not included in the cost of merchandise inventory? O Purchase discounts. O Purchase returns and allowances. O Purchase price of the inventory. O Freight costs paid by the seller. O Freight costs paid by the buyer. 4 pts 0 Question 2 Sunshine Cleaning purchased $3,500 worth of merchandise. The seller offered a 2% cash discount. Transportation costs for the buyer were an additional $310. The company returned $240 worth of merchandise and then paid the invoice within the discount period. The total cost of this merchandise is: O $3.570.00. O $3,500.00 O $3,332.00 O $3,430.00. $3,504.80 Question 5 A company has not sales of $759.300 and cost of goods sold of $548.300. Its not income is $10.280. The company's gross margin and operating expenses, respectively, are: O $211.000 and $230,750 $739.550 and $191,720 O $529,020 and $230.750 O $211.000 and $191,720 $230,750 and $529,020 4 pts D D Question 5 A company has not sales of $750,300 and cost of goods sold of $548,300. Its not income is $10.280 The company's groas margin and operating expenses, respectively, arm O $211,000 and $230,750 O $739,550 and $191,720 $529,020 and $230,750 O $211.000 and $191,720 O $230.750 and $529,020 Question 6 Sales less sales discounts, less sales returns and allowances equals: Cost of Goods Sold Net Income O Net Sales O Gross Profit 4 pts 4 pts Goods in transit are included in a purchaser's inventory: O At any time during transit. O After the half-way point between the buyer and seller, When the supplier is responsible for freight charges. When the goods are shipped FOB shipping point. OIf the goods are shipped FOB destination. Question 11 The inventory costing method that smooths out erratic changes in costs is: O LCM. O FIFO. OLIFO. O Specific Identification. O Weighted average. 4 t ne 0 Question 12 Krusty Krab has the following products in its ending inventory Compute lower of cost or market for inventory. applied separately to each product Inventory by Product Product Quantity Cost per Unit 500 $ 500 $ 30 600 Scuba Masks Scuba Sults O $265,000 O $290,000. O $250,000 $268,000 O $275,000. Question 13 Market per Unit $ 550 $ 25 If equity is $368,000 and liabilities are $186,000, then assets equal: O $554,000. $922,000. $368,000. $186,000. O $182,000. 2 pts
Answers
Question 1: The item not included in the cost of merchandise inventory is "Purchase discounts."
2: The total cost of the merchandise is $3,332.00.
5: The company's gross margin and operating expenses, are $211,000 and $191,720.
What is the cost of merchandise inventory?Merchandise inventory expenses normally consist of the price paid for the inventory, deductions from the purchase price resulting from purchase returns and allowances, and freight expenses paid by the purchaser.
Although purchase discounts reduce the cost of merchandise inventory, they are not considered part of it. Instead, they are treated as a distinct discount in the accounting records.
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There are 314 students. Each bus has room for 25 students. How many busses are necessary for the field trip?
Answers
Answer: Check Below
Step-by-step explanation:
First, divided 314 by 25= 12
Now the remaining requires one more bus.
So now 12+1=13 buses. This is your answer. Thank you.
Answer:
13 buses
Step-by-step explanation:
We have 314 students, and each bus seats 25 students. Let's divide 314 with 25.
314/25 = 12.56
This means in order to seat everyone, you would need 12.56 buses. But you can only have whole buses, meaning round up 12.56 to 13. So, 13 buses are necessary.
Feel free to comment if this doesn't make sense, and I'll try to explain it in a different way.
add. write your answer in simplest form 7 1/4 +4 5/12
Answers
Therefore, the simplified sum of the expression 7 1/4 and 4 5/12 is 35/3 that is option D, 11 2/3.
What is expression?In mathematics, an expression is a combination of symbols and/or numbers that represents a quantity or a mathematical relationship between quantities. Expressions can be simple or complex, and can involve arithmetic operations, algebraic operations, functions, and variables.
Here,
To add these mixed numbers, we need to first convert them to improper fractions with the same denominator:
7 1/4 = 28/4 + 1/4
= 29/4
4 5/12 = 48/12 + 5/12
= 53/12
Now, we can add the fractions:
=29/4 + 53/12
To find a common denominator, we can multiply the denominator of the first fraction by 3 and the denominator of the second fraction by 1:
29/4 × 3/3 = 87/12
53/12 × 1/1 = 53/12
Now we have the same denominator, so we can add the numerators:
87/12 + 53/12 = 140/12
We can simplify by dividing the numerator and denominator by their greatest common factor, which is 4:
140/12 ÷ 4/4 = 35/3
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Combine like terms: 2r + r² – 4 + r
Show Work Pls
Answers
Answer:
r^2+3r-4
Step-by-step explanation:
combine like terms:
2r+r
vvvv
3r+r^2-4
rearrange terms:
r^2+3r-4
Choose the type of variation that relates the variables in the table.
Answers
Answer:
Multiply the x by 5 to get the y
If her garden is 2 square feet, she can grow 8 carrots at a time. Write the equation for the relationship between x and y.
Answers
\(y= (\frac{8}{2} )\times x\) is the equation for the relationship between x and y.
Let's assume that x represents the number of square feet in her garden, and y represents the number of carrots she can grow at a time.
According to the information provided, when the garden size is 2 square feet, she can grow 8 carrots.
We can establish a relationship between x and y using this data.
To determine the equation, we can infer that as the garden size increases, the number of carrots she can grow also increases.
We can assume a linear relationship between x and y, where the number of carrots grows proportionally with the garden size.
Based on this, we can write the equation as follows:
\(y= (\frac{8}{2} )\times x\)
In this equation, (8/2) represents the growth rate of carrots per square foot of the garden.
By multiplying the growth rate by the garden size (x), we can determine the number of carrots she can grow (y) at any given garden size.
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Find the values of the trigonometric functions of the angle (in standard position) whose terminal side passes through the given point. (√6.-√2) sin as -0 (Simplify your answer. Type an exact answe
Answers
The values of the trigonometric functions of the angle (in standard position) whose terminal side passes through the given point \(( √6,-√2)\) are as follows:
\(sin(θ) = -√5 / 5cos(θ) = √15/5tan(θ) = -√3/3cot(θ) = -√3sec(θ) = √20cosec(θ) = -√20.\)
Given: Point (\(x,y) = (√6,-√2)\)
Here we need to find the values of the trigonometric functions of the angle (in standard position) whose terminal side passes through the given point.
We know that,
\(sin(θ) = y / r ----(1)\).
\(cos(θ) = x / r ----(2)\)
\(tan(θ) = y / x ----(3)\)
\(cot(θ) = x / y ----(4)\)
\(sec(θ) = r / x ----(5)\)
\(cosec(θ) = r / y ----(6)\).
where, \(r = √(x^2 + y^2)\) (r is always positive).
Now\(, x = √6 and y = -√2\)
, substitute these values in the above formula and get the values of all the six trigonometric functions.
\(r = √(6^2 + (-2)^2) = √36 + 4 = √40 = 2√10\)
So,\(sin(θ) = y / r = -√2 / 2√10 = -√2/2√10 * √10/√10 = -√20/20 = -√5 / 5\)
\(cos(θ) = x / r = √6 / 2√10 = √6/2√10 * √10/√10 = √60/20 = √15/5\)
\(tan(θ) = y / x = -√2 / √6 = -√2/√6 * √6/√6 = -√12 / 6 = -√3/3\)
\(cot(θ) = x / y = √6 / -√2 = -√6/√2 * √2/√2 = -√12 / 2 = -√3\)
\(sec(θ) = r / x = 2√10 / √6 = 2√10/√6 * √6/√6 = 2√60/6 = √60/3 = √20/1 = √20\)
\(cosec(θ) = r / y = 2√10 / -√2 = -2√10/√2 * √2/√2 = -2√20 / 2 = -√20\).
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What is the equation in point-slope form of the line passing through (-1, 3)
and (1, 7)? (6 points)
Oy-7= 4(x - 1)
Oy-7=2(x - 1)
Oy-3=2(x - 1)
Oy-3-4(x + 1)
Answers
Answer:
(b) y -7 = 2(x -1)
Step-by-step explanation:
You want the point-slope equation of the line through (-1, 3) and (1, 7).
SlopeThe slope is given by the formula ...
m = (y2 -y1)/(x2 -x1)
m = (7 -3)/(1 -(-1)) = 4/2 = 2
EquationThe point-slope equation for a line with slope m through point (h, k) is ...
y -k = m(x -h)
We have two different points, so we can write the equation two ways:
y -3 = 2(x +1)
y -7 = 2(x -1) . . . . . . . matches choice B
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What's the answer????!!!???
Answers
Answer:
3997
Step-by-step explanation:
JUST SEARCH IT UP0202000202×0]2]×
Write the unit rate for each of the following
Answers
Answer:
1. $36/4 hours = $9per hour
2. 350miles/7hours = 50mile per hour
3. 1.60 / 20 = $0.08 per pen
many psychologists consider the distinguishing feature of adolescent thought to be ability to think in terms of ___.
Answers
Many psychologists consider the distinguishing feature of adolescent thought to be the ability to think in terms of abstract concepts or hypothetical situations.
During adolescence, individuals begin to develop more advanced cognitive abilities, including the capacity for abstract reasoning and hypothetical thinking.Abstract thinking involves understanding and manipulating ideas and concepts that are not directly tied to concrete objects or experiences. It allows adolescents to consider possibilities beyond immediate reality and to engage in complex reasoning, such as formulating and testing hypotheses or contemplating multiple perspectives.Hypothetical thinking, on the other hand, enables adolescents to mentally explore potential scenarios and outcomes. They can consider "what if" situations, contemplate alternative solutions to problems, and weigh the consequences of different choices.These cognitive abilities play a crucial role in adolescent development, facilitating problem-solving, decision-making, and the exploration of identity and future possibilities.
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When a child is more than two standard deviations underweight for his or her age, the child is suffering from a condition called _____.
Answers
At the first school , there were 5 Sixth graders for every 2 seventh graders. At the second school dance, there were 7 sixth graders for 8 seventh graders . Are the ratios of sixth to Seventh on graders at both school dance equivalents. Explain
Answers
Answer:
No
Step-by-step explanation:
The ratio of the first school is 5/2. The ratio of the second school is 7/8.
The breaking strengths of a random sample of 20 bundles of wool fibers have a sample mean 436.5 and a sample standard deviation 11.9. (a) Construct 90%, 95%, and 99% confidence intervals for the average breaking strength of the wool fibers. (b) Compare the widths of the three confidence intervals. At which level of confidence do you have the widest interval
Answers
(a) Construct confidence intervals are : 90%: [428.95, 444.05], 95%: [427.13, 445.87], 99%: [423.67, 449.33].
(b) The 99% confidence interval has the widest interval.
(a) To construct confidence intervals for the mean breaking strength of the wool fibers, we shall use the given formula:
Confidence interval = sample mean ± (critical value * standard error)
The critical value here will depends on the level of confidence. For a 90% confidence level, the critical value is 1.645 (from the standard normal distribution). For a 95% confidence level, the critical value is 1.96, and for a 99% confidence level, the critical value is 2.576.
Standard error is obtained by dividing the sample standard deviation by the square root of the sample size.
Plugging in the values, we can calculate the confidence intervals:
90% confidence interval:
Lower bound = 436.5 - (1.645 * (11.9 / √20))
Upper bound = 436.5 + (1.645 * (11.9 / √20))
95% confidence interval:
Lower bound = 436.5 - (1.96 * (11.9 / √20))
Upper bound = 436.5 + (1.96 * (11.9 / √20))
99% confidence interval:
Lower bound = 436.5 - (2.576 * (11.9 / √20))
Upper bound = 436.5 + (2.576 * (11.9 / √20))
(b) The width of a confidence interval depends on both the critical value and the standard error. When aiming for a higher level of confidence, the interval becomes wider as it requires a larger critical value. Consequently, it can be concluded that among the given confidence intervals, the one with a 99% confidence level will have the broadest range.
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or the dinner special at a restaurant, the customer must choose an appetizer, a salad, an entree, a side dish, and a dessert. here are the items to choose from. choice possible items appetizer chicken strips, shrimp cocktail, nachos salad garden, caesar, southwest entree lamb, roast turkey, grilled chicken, t-bone steak side dish pinto beans, rice, french fries, baked potato, corn dessert apple pie, brownies, chocolate cake, cheesecake how many dinner specials are possible?
Answers
There are 720 possible dinner specials.
To calculate the number of dinner specials, we need to multiply the number of options for each course.
For the appetizer, there are 3 options (chicken strips, shrimp cocktail, nachos).For the salad, there are 3 options (garden, caesar, southwest).For the entree, there are 4 options (lamb, roast turkey, grilled chicken, t-bone steak).For the side dish, there are 5 options (pinto beans, rice, french fries, baked potato, corn).For the dessert, there are 4 options (apple pie, brownies, chocolate cake, cheesecake).The number of dinner specials is the product of the number of options for each course:
So,
3 x 3 x 4 x 5 x 4 = 720 possibilities
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help me out again please.
2. Evaluate when x = 1 and y = -3 (x + y)² – (5 + x)
Answers
Answer:
-2
Step-by-step explanation:
(1 + -3) x (1 + -3) - (5 + 1) =
-2 x -2 - 6 =
4 - 6 = -2
Hope that helps!
-Sabrina
how many independent variables are in a 2x3x2 factorial design
Answers
A 2x3x2 factorial design has three independent variables. What is a factorial design? A factorial design is an experimental design that studies the impact of two or more independent variables on a dependent variable.
The notation of a factorial design specifies how many independent variables are used and how many levels each independent variable has. In a 2x3x2 factorial design, there are three independent variables, with the first variable having two levels, the second variable having three levels, and the third variable having two levels.
The number of treatments or conditions required to create all feasible combinations of the independent variables is equal to the total number of cells in the design matrix, which can be computed as the product of the levels for each factor.
In this case, the number of cells would be 2x3x2=12.Therefore, a 2x3x2 factorial design has three independent variables and 12 treatment groups..
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Use the diagram to answer the question.
Which of the following statements is true?
lines and line t Intersect
O lines and line t Intersect at Point P
Point Pis on linet and on lines
all of the above are true
Answers
Answer:
O lines and line t Intersect at Point P
Write the equation in point-slope form of the line that passes through the point (8, 5) and has a slope of -7
Answers
Answer:
y= -7x +61
Step-by-step explanation:
slope form of the line is
y = mx + b
equation from given point and slope is
5 = -7(8)+ b
5= -56+b
b= 61
y= -7x +61
Answer:
Y=-7x+61
Step-by-step explanation:
y-y=k(x-x)
y-5=k(x-8)
y-5= -7(x-8)
y-5= -7x + 56
y= -7x + 61
Which sequence of transformations produces R'S'T from RST?
a 90° clockwise rotation about the origin and then a translation 2 units left
a 90º counterclockwise rotation about the origin and then a translation 2 units right
a translation 2 units left and then a reflection over the y-axis
O a translation 2 units right and then a reflection over the x-axis
Answers
Answer:
c
Step-by-step explanation:
The sequence of transformations produces R'S'T from RST is a translation 2 units left and then a reflection over the y-axis.
What is a translation in the y-axis?The act of Translation is known to be a slide of a shape that is found on a coordinate plane.
Through this translation. one can move a shape in the upward, downward, leftward, or rightward direction. The right notation for translation is T(h, k). The right way in the transformations produces R'S'T from RST is a translation 2 units left and then a reflection over the y-axis.
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a circle has a radius of 7cm. find the radian measure of the central angle that intercepts an arc of length 10cm.
Answers
The radian measure of the central angle intercepting an arc of length 10 cm on a circle with a radius of 7 cm is approximately 1.42857 radians.
To find the radian measure of the central angle intercepting an arc of length 10 cm on a circle with a radius of 7 cm, we can use the formula:
θ = s / r,
where θ is the radian measure of the central angle, s is the length of the arc, and r is the radius of the circle.
In this case, the length of the arc (s) is given as 10 cm, and the radius (r) is 7 cm. Plugging these values into the formula, we have:
θ = 10 cm / 7 cm.
Simplifying the expression, we get:
θ ≈ 1.42857 radians.
Therefore, the radian measure of the central angle intercepting an arc of length 10 cm on a circle with a radius of 7 cm is approximately 1.42857 radians.
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Solve for x. Please show all work. ∛(4x-1)-7=-4.
Answers
The value of x from the given equation is 7.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is ∛(4x-1)-7=-4.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Here, ∛(4x-1)-7=-4
∛(4x-1)=3
Cubing on both side of an equation, we get
(∛(4x-1))³=3³
4x-1=27
4x=28
x=7
Therefore, the value of x is 7.
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In a race with six swimmers, how many different orders of finish are possible for the first three positions? There are different orders of finish for the first three positions. (Type a whole number.) A research study needs to select two people to participate from a group of seventeen. Calculate the total number of unique groups that can be formed There are unique groups that can be formed. (Type a whole number.) students in the new MBA elass at a state univeraity have the specialzation profie given below. Find the probabilly that a student is either a sinance or a marketing major. Are the events finance specialization and markating specialzation mutually exclusive? If so, what assumptons must be made? Finance-83 Marketing - 31 Operations and Supply Chain Management-69 Information Systerns-57 Select the correct choice and, if nocestary, teit in the anower box to complete your thoice. A. Since the studenta may or may not be allowed to have multiple majon, it is not known if the outcomes afe mutualy exclisive. If it is assumed that the majoes ave not mutualy exclisive, then the probabily that a thucent it either a tnance or a marketing majer cannot be foend using only the information given. If it is assumed that the majors are mutualy exclusive, then the probabisty in (Round to tho decinal places as needed.) B. Since the outcomes an not mitually exdlusive, the probability cannot be found using only the information given c. Since the outcomes are mufualy exclusive, the probablity that a shident is aither a finance or a markoting major is No assumptions need to be madn (Round to two decimal places as needed) D. Since the studenta may or may not be allowed to have multiple majors, it is not known if the outcomes are mutuaty exclusive if it is assumed that the majors are not mutualy axctusive. then the probabilty that a student is ether a finance or a manketing major is if it is aswuned that the majors are mulually exclusive, then the probabildy cannot be found using only the information given (Round to two decimal places as needed)
Answers
The number of different orders of finish for the first three positions in a race with six swimmers is 120.
The total number of unique groups that can be formed by selecting two people from a group of seventeen is 136.
To calculate the number of different orders of finish for the first three positions in a race with six swimmers, we use the concept of permutations. Since the order matters, we use the formula for permutations of n objects taken r at a time, which is n! / (n - r)!. In this case, we have 6 swimmers and we need to find the number of permutations for 3 positions, so the calculation is 6! / (6 - 3)! = 6! / 3! = (6 * 5 * 4) / (3 * 2 * 1) = 120.
To calculate the total number of unique groups that can be formed by selecting two people from a group of seventeen, we use the concept of combinations. Since the order doesn't matter, we use the formula for combinations of n objects taken r at a time, which is n! / (r! * (n - r)!). In this case, we have 17 people and we need to select 2, so the calculation is 17! / (2! * (17 - 2)!) = (17 * 16) / (2 * 1) = 136.
Therefore, the number of different orders of finish for the first three positions in the race is 120, and the total number of unique groups that can be formed from the group of seventeen is 136.
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