3 - 2 - x→−3lim x2 + 2x − 3x2 − 9. Solve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, …

 
To write −2 5 - 2 5 as a fraction with a common denominator, multiply by 3 3 3 3. Write each expression with a common denominator of 15 15, by multiplying each by an appropriate factor of 1 1. Tap for more steps... 2⋅5 15 − 2⋅3 15 2 ⋅ 5 15 - 2 ⋅ 3 15. Combine the numerators over the common denominator. Simplify the numerator.. Cashmachine

Example: 102 ×(32 + 2) 10 2 × ( 3 2 + 2) Step 1: First, solve the parenthesis. In this case, we have an exponent in the parenthesis. The precedence of the exponent is higher than the addition. = 102 ×(9 − 2) 10 2 × ( 9 − 2) = 102 ×(7) 10 2 × ( 7) Step 2: Eliminate the parenthesis that is solved and solve the remainder expression from ...Algebra. Evaluate 3-3/2. 3 − 3 2 3 - 3 2. To write 3 3 as a fraction with a common denominator, multiply by 2 2 2 2. 3⋅ 2 2 − 3 2 3 ⋅ 2 2 - 3 2. Combine 3 3 and 2 2 2 2. 3⋅2 …USB 3.2 Gen 2x2 is a multi-lane operation for new hosts and devices, allowing for up to two lanes of 10 Gbps operation to realize a theoretical 20Gbps data transfer rate. It uses a USB-C connector which has four pairs of conductors functioning as "lanes" to achieve up to the theoretical 20Gbps. 3-2 (song), 2020 single by Japanese idol girl group HKT48. 3-2 engineering, dual degree programs providing a BA from a home institution and BS in engineering from a partner school. Three-two pull down, term used in filmmaking and television production for the post-production process of transferring film to video. 3-2 zone, a zone defense ... a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3. b) Add the answer from the previous step 6 to the numerator 2. New numerator is 6 + 2 = 8. c) Write a previous answer (new numerator 8) over the denominator 3. …How to write 3/2 as a Decimal? Convert a fraction value to a decimal format. A fraction belongs to numerator divided by denominator. So enter the numerator and denominator value in given input box, then press calculate button, the system will automatically calculate the Decimal value. To find a new numerator: a) Multiply the whole number 3 by the denominator 3. Whole number 3 equally 3 * 3. /. 3 = 9. /. 3. b) Add the answer from the previous step 9 to the numerator 2. New numerator is 9 + 2 = 11. Basic Math. Convert to an Improper Fraction 3 2/3. 3 2 3 3 2 3. A mixed number is an addition of its whole and fractional parts. 3+ 2 3 3 + 2 3. Add 3 3 and 2 3 2 3. Tap for more steps... 11 3 11 3. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations ... A USB 3.2 Gen 1 or USB 3.2 Gen 2 port or the USB 3.1 equivalents could have either type of connector. However, if you are using USB 3.2 Gen 2x2 (20 Gbps), you will definitely be using USB Type-C ... Three Plus Two, or 3 + 2 ( Russian: Три плюс два, romanized : Try plyus dva) is a 1963 Soviet romantic comedy film directed by Genrikh Oganesyan [ ru] based on a play by Sergei Mikhalkov, [1] and co-produced by Moscow-based Gorky Film Studio and Soviet Latvian Riga Film Studio . Version 2.3.2 Follow @getbootstrap; Tweet; Heads up! These docs are for v2.3.2, which is no longer officially supported. Check out the latest version of Bootstrap! Introducing Bootstrap. Need reasons to love Bootstrap? Look no further. By nerds, for nerds. Polynomial. In mathematics, a polynomial is a mathematical expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables. An example of a polynomial of a single indeterminate x is x² − 4x + 7. An example with three indeterminates ... 2/3. This fraction calculator performs basic and advanced fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. The calculator helps in finding value from multiple fractions operations.View solution steps. Factor. −5.29. Quiz. Arithmetic. −2.32. Videos. Worked example: quadratic formula (negative coefficients) Khan Academy. The quadratic formula. Khan …Fraction Calculation Example 2d: 15⁄20 is the equivalent fraction of 3⁄4. We then repeat the exercise for our other fraction. Fraction Calculation Example 2e: 4 x 2 = 8 We multiply 2 by 4 as we previously multiplied 5 by 4. …Ch3Plus.com ดูทีวีออนไลน์ ช่อง3 ดูละครย้อนหลัง ละครช่อง3 ผังรายการช่อง3x^2-x-6=0 -x+3\gt 2x+1 (x+5)(x-5)\gt 0 ; 10^{1-x}=10^4 \sqrt{3+x}=-2 ; 6+11x+6x^2+x^3=0 ; factor\:x^{2}-5x+6 ; simplify\:\frac{2}{3}-\frac{3}{2}+\frac{1}{4} x+2y=2x-5,\:x-y=3 ; …225 ˚F / 107 ˚C. 02:00. Super Smoke. 8. Carefully unwrap the ribs (watch out for hot steam), and brush on both sides with Traeger BBQ sauce. Discard the foil. Place the ribs directly on the grill grates, bone-side down, and re-insert the probe. Grill until the sauce tightens, 30-60 minutes. 225 ˚F / 107 ˚C.Ex 3.2, 1 Let A = [ 8(2&4@3&2)], B = [ 8(1&3@−2&5)], C = [ 8(−2&5@3&4)] Find each of the following (i) A + B A + B = [ 8(2&4@3&2)] + [ 8( 1&3@−2&5)] = [ 8(2+1&4 ...Graduate with global business experience and two degrees. 3/2 MBA students at the Songkran Festival in Thailand. The 3/2 MBA program offers unique hands-on experiences so you can put into practice skills learned in the classroom. We offer both international and domestic experiences to best prepare you for today’s business world.3+2有两种: 第一种:初中毕业(中考),3年中专+2年大专 毕业后大专学历. 第二种:高中毕业(高考),3年大专+2年本科 毕业后本科学历(中间要参加转段考试) 关于专升本考试两者的区别: 中专加大专3+2专升本:参加的是统招专升本考试,可以自由选择报考 ...First go to the Algebra Calculator main page. In the Calculator's text box, you can enter a math problem that you want to calculate. For example, try entering the equation 3x+2=14 …Putting on the New Self. 1 Therefore, since you have been raised with Christ, strive for the things above, where Christ is seated at the right hand of God. 2 Set your minds on things above, not on earthly things. 3 For you died, and your life is now hidden with Christ in God.…. Berean Standard Bible · Download.First type the equation 2x+3=15. Then type the @ symbol. Then type x=6. Try it now: 2x+3=15 @ x=6 Clickable Demo Try entering 2x+3=15 @ x=6 into the text box. After you enter the expression, Algebra Calculator will plug x=6 in for the equation 2x+3=15: 2(6)+3 = 15. The calculator prints "True" to let you know that the answer is right. More Examples100. Evaluate. 2^2. 22 2 2. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.We offer all sorts of two-player games including 1 v 1 Fighting Games, work together in two-player Co-op Games, play with 2 or more players in our Board Games, play Basketball, Soccer, Football and more in our Sports Games, or discover dozens of other games. Examples of popular two player games we have are TicTacToe, Master Chess and …3-2-c(3-2のcマス)は、敵艦隊の基礎経験値が160~180あり、 序盤の海域として育成に適しています。 編成についても戦艦か空母を入れていればcマスに行くため、 制限なく編成可能。更に、潜水艦を1隻採用すれば、敵からの攻撃を潜水艦がPour both dry cake mixes into a gallon-size Ziploc bag. Zip it up tight and begin to shake it well to make sure cake mixes are combined thoroughly. In a microwave-safe mug (you do not need to grease the mug), combine 3 tablespoons of the combined cake mixes with 2 tablespoons of water. Stir well until completely combined. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Dividing fractions is really similar to multiplying fractions. You just need to follow these steps to divide two fractions (for example, 4 5 \frac 4 5 5 4 by 2 3 \frac 23 3 2 ): Calculate the reciprocal of your second fraction - the divisor (the fraction you want to divide by). To find the reciprocal, simply flip the number upside down so that the top number is …Due to several AFC U23 Asian Cup matches scheduled to take place at Khalifa International Stadium, access to the 3-2-1 Qatar Olympic and Sports Museum (QOSM) will be restricted during the month of April. Please take note of the closure dates listed below. On days when the museum is open, there will be no on-site parking.2 2/3 x 2 2/3. This fraction calculator performs basic and advanced fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. The calculator helps in finding value from multiple fractions operations.Simplify (-3/2)^2. Step 1. Use the power rule to distribute the exponent. Tap for more steps... Step 1.1. Apply the product rule to . Step 1.2. Apply the product rule to . Step 2. Raise to the power of . Step 3. Multiply by . Step 4. Raise to the power of . Step 5. Raise to the power of . Step 6. The result can be shown in multiple forms.x^2-x-6=0 -x+3\gt 2x+1 (x+5)(x-5)\gt 0 ; 10^{1-x}=10^4 \sqrt{3+x}=-2 ; 6+11x+6x^2+x^3=0 ; factor\:x^{2}-5x+6 ; simplify\:\frac{2}{3}-\frac{3}{2}+\frac{1}{4} x+2y=2x-5,\:x-y=3 ; …2 ( two) is a number, numeral and digit. It is the natural number following 1 and preceding 3. It is the smallest and only even prime number. Because it forms the basis of a duality, it has religious and spiritual significance in many cultures .Jan 18, 2024 · 2 3/5 = 13/5. Analogically, you can find out that 1 1/2 = 3/2. Do the standard addition of fractions with uneven denominators: 13/5 + 3/2 = 26/10 + 15/10 = 41/10. Finally, you can convert your result back into a mixed fraction: Do long division with a remainder: 41/10 = 4 R 1 = 4 1/10. Up here I added 1 from every step, here I'm adding 2. 2 times 7, 14. 2 times 8, 16. 2 two times 9, 18. All right, let's do our 3 times tables. I'll do it in yellow. 3 times 1 is 3. Notice, 3 times 1 is 3. 1 times 3 is 3. These are the same values. 3 times 2 is the same thing as 2 times 3. 3 times 2 should be the same thing as 2 times 3. So it's 6. dxd (x − 5)(3x2 − 2) Integration. ∫ 01 xe−x2dx. Limits. x→−3lim x2 + 2x − 3x2 − 9. Solve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. Extended: Arsenal 5-0 Chelsea. Video. 23 Apr 24. Chelsea Football Club. Full Match of Chelsea's 3-2 Premier League victory against Newcastle United at Stamford Bridge... Differentiation. dxd (x − 5)(3x2 − 2) Integration. ∫ 01 xe−x2dx. Limits. x→−3lim x2 + 2x − 3x2 − 9. Solve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. Three Plus Two, or 3 + 2 ( Russian: Три плюс два, romanized : Try plyus dva) is a 1963 Soviet romantic comedy film directed by Genrikh Oganesyan [ ru] based on a play by Sergei Mikhalkov, [1] and co-produced by Moscow-based Gorky Film Studio and Soviet Latvian Riga Film Studio . 1/3 x 2. This fraction calculator performs basic and advanced fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. The calculator helps in finding value from multiple fractions operations.Simplify 16^ (3/2) 163 2 16 3 2. Simplify the expression. Tap for more steps... 42(3 2) 4 2 ( 3 2) Cancel the common factor of 2 2. Tap for more steps... 43 4 3. Raise 4 4 to the power of 3 3.View solution steps. Factor. −5.29. Quiz. Arithmetic. −2.32. Videos. Worked example: quadratic formula (negative coefficients) Khan Academy. The quadratic formula. Khan …Adding to the chaos, the specification that was thought to be simply called USB 3.2 will now be called, USB 3.2 Gen 2x2! The new standard offers twice the throughput that is offered by USB 3.2 Gen 2 (so, 2x2). The reasoning behind this bizarre naming might be sound from a technical standpoint, but the average user will struggle to grasp the ...The 3-2-1 backup rule is a best practice for backing up your data by saving multiple copies of data on different storage devices and locations. — Getty Images/nortonrsx When turning on a desktop or laptop computer, no business owner wants to see a hard drive disk failure message. It’s also devastating if a natural disaster …3.2. The embedded controller has timed out waiting for BIOS to return from memory initialization. Indicates potential memory failure. 1 Reseat memory. 2 Correct memory configuration. 3 Test with known good memory. 4 Replace affected component.Converting from decimals to fractions is straightforward. It does, however, require the understanding that each decimal place to the right of the decimal point represents a power of 10; the first decimal place being 10 1, the second 10 2, the third 10 3, and so on. Simply determine what power of 10 the decimal extends to, use that power of 10 ...2/3. This fraction calculator performs basic and advanced fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. The calculator helps in finding value from multiple fractions operations. fraction and use a forward slash to input fractions i.e., 1 2/3. An example of a negative mixed fraction: -5 1/2 . Because slash is both sign for fraction line and division, use a colon (:) as the operator of division fractions i.e., 1/2 : 1/3 . dxd (x − 5)(3x2 − 2) Integration. ∫ 01 xe−x2dx. Limits. x→−3lim x2 + 2x − 3x2 − 9. Solve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. Algebra. Evaluate 3^-2. 3−2 3 - 2. Rewrite the expression using the negative exponent rule b−n = 1 bn b - n = 1 b n. 1 32 1 3 2. Raise 3 3 to the power of 2 2. 1 9 1 9. The result can be shown in multiple forms. Exact Form: 1 9 1 9. Decimal Form: 0.¯1 0. 1 ‾. , the numerator is 3, and the denominator is 8. A more illustrative example could involve a pie with 8 slices. 1 of those 8 slices would constitute the numerator of a fraction, while the total of 8 slices that comprises the whole pie would be the denominator. If a person were to eat 3 slices, the remaining fraction of the pie would therefore be 3 x 2/3. This fraction calculator performs basic and advanced fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. The calculator helps in finding value from multiple fractions operations. Evaluate (-3)^-2. Step 1. Rewrite the expression using the negative exponent rule . Step 2. Raise to the power of . Step 3. The result can be shown in multiple forms ... Graduate with global business experience and two degrees. 3/2 MBA students at the Songkran Festival in Thailand. The 3/2 MBA program offers unique hands-on experiences so you can put into practice skills learned in the classroom. We offer both international and domestic experiences to best prepare you for today’s business world.Misalnya, mencari 3^2 akan menghasilkan hasil terkait kuadrat dari 3. Spotlight (Mac): Anda dapat menggunakan ^2 untuk melakukan perhitungan kuadrat langsung di bilah pencarian. Misalnya, mengetik 3^2 akan menampilkan hasil sebagai 9. Aplikasi dan Penggunaan Unik dari Simbol Pangkat Dua.Instructions. In a mixing bowl, combine all the rub ingredients and mix until thoroughly incorporated. Add mayonnaise all over the ribs and spread the mixture thinly on both sides of the ribs and season with rub. When ready to cook, set smoker temperature to 180℉ and preheat, lid closed for 15 minutes.Kalkulator pembagian pecahan. Membagi kalkulator pecahan online. Masukkan pecahan dan tekan tombol =. Masukkan pecahan sederhana dengan garis miring (/). Misalnya: 1/2 ÷ 1/3. Masukkan angka campuran dengan spasi.To visualize the question we are trying to solve, let's put 2/3 and 3 side-by-side so it's easier to see: 2 3 ÷ 3. So here is the incredibly easy way to figure out what 2/3 divided by 3 is. All we need to do here is keep the numerator exactly the same (2) and multiple the denominator by the whole number: 2 3 x 3 = 2 9.To visualize the question we are trying to solve, let's put 2/3 and 3 side-by-side so it's easier to see: 2 3 ÷ 3. So here is the incredibly easy way to figure out what 2/3 divided by 3 is. All we need to do here is keep the numerator exactly the same (2) and multiple the denominator by the whole number: 2 3 x 3 = 2 9. Fraction calculator. 3/2. This fraction calculator performs basic and advanced fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. The calculator helps in finding value from multiple fractions operations. View solution steps. Factor. −5.29. Quiz. Arithmetic. −2.32. Videos. Worked example: quadratic formula (negative coefficients) Khan Academy. The quadratic formula. Khan …Miscellaneous Exercise Solutions: 15 Questions (7 Long, 5 Short, 3 MCQs) Class 12 Maths Chapter 3 Matrices Exercise 3.2 of NCERT Class 12 Maths Solutions Chapter 3 is based on the following topics and subtopics: Operations on Matrices. Addition of matrices. Multiplication of a matrix by a scalar. Properties of matrix addition.ISO Alpha-2, Alpha-3, and Numeric Country Codes. The ISO country codes are internationally recognized codes that designate every country and most of the dependent areas a two-letter combination or a three-letter combination; it is like an acronym, that stands for a country or a state.Solve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more.3-2-1: With Ted Rogers, Dusty Bin, Chris Emmett, Mike Newman. Three couples compete in a missing word game, with the winning couple going on to solve riddles left by guest performers to win prizes and avoid Dusty Bin's booby prize. NCERT Solutions for Class 10 Maths Chapter 3 – Pair of Linear Equations in Two Variables Exercise 3.2. 1. Form the pair of linear equations in the following problems, and find their solutions graphically. (i) 10 students of Class X took part in a Mathematics quiz. Fraction Calculation Example 2d: 15⁄20 is the equivalent fraction of 3⁄4. We then repeat the exercise for our other fraction. Fraction Calculation Example 2e: 4 x 2 = 8 We multiply 2 by 4 as we previously multiplied 5 by 4. …Evaluate (-3)^-2. Step 1. Rewrite the expression using the negative exponent rule . Step 2. Raise to the power of . Step 3. The result can be shown in multiple forms. Exact Form: Decimal Form: ...A 3 + 2 igazi karrierje azonban csak a nyolcvanas évek elején indult el, amikor már a dél-bácskai Temerinben éltek, s egyre közkedveltebbekké váltak, igaz, még ekkor sem ebből éltek. Aztán egy profi hangtechnikust is bevettek a bandába, ő vette fel a Halvány őszi rózsa, a Kicsiny falum, a Kombiné, az Egy asszony miatt vagyok ...Up here I added 1 from every step, here I'm adding 2. 2 times 7, 14. 2 times 8, 16. 2 two times 9, 18. All right, let's do our 3 times tables. I'll do it in yellow. 3 times 1 is 3. Notice, 3 times 1 is 3. 1 times 3 is 3. These are the same values. 3 times 2 is the same thing as 2 times 3. 3 times 2 should be the same thing as 2 times 3. So it's 6.The 3:2 aspect ratio is a screen or image format that proportionally contains three units horizontally for every two vertically. It can be calculated by dividing the width by height and getting a value of 1.5. For example, the ratio between the width and height of the HD+ (1200 x 800), Full HD+ (1920 x 1280), and 4K+ UHD+ (3840 × 2560 ...Instructions. In a mixing bowl, combine all the rub ingredients and mix until thoroughly incorporated. Add mayonnaise all over the ribs and spread the mixture thinly on both sides of the ribs and season with rub. When ready to cook, set smoker temperature to 180℉ and preheat, lid closed for 15 minutes.First go to the Algebra Calculator main page. In the Calculator's text box, you can enter a math problem that you want to calculate. For example, try entering the equation 3x+2=14 …Version 2.3.2 Follow @getbootstrap; Tweet; Heads up! These docs are for v2.3.2, which is no longer officially supported. Check out the latest version of Bootstrap! Introducing Bootstrap. Need reasons to love Bootstrap? Look no further. By nerds, for nerds. Solve algebra problems with this online calculator that shows step-by-step solutions. Enter your equation or expression and get instant results with graphs, conversions, and more. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.2 2/3 x 2 2/3. This fraction calculator performs basic and advanced fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. The calculator helps in finding value from multiple fractions operations. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.

輸入完整地址就可以查詢到郵遞區號(五碼,3+2碼,3+3碼). Reliant cu

3 - 2

Specification. Raspberry Pi 3 Model B is the earliest model of the third-generation Raspberry Pi. It replaced Raspberry Pi 2 Model B in February 2016. See also Raspberry Pi 3 Model B+, the latest product in the Raspberry Pi 3 range. Quad Core 1.2GHz Broadcom BCM2837 64bit CPU. 1GB RAM. BCM43438 wireless LAN and Bluetooth Low …3:2 displays are the best for productivity, because you get more screen real estate to showcase your work. Laptops are getting rid of 16:9, and it should stay that way.The 2-2-3 or the Panama schedule is a slow rotation cycle of 28 days where each employee works in a 12 hour shift every day. This schedule usually involves 4 teams who work for 2 days, then get 2 rest days, followed by 3 days of work. Here’s a 2-2-3 work schedule example: D – Day shift, N – Night shift, O – Off day.Finally, since both denominators are now the same, you compare the numerators (8 and 9) to determine which fraction is greater. Since 9 is greater than 8, 9/12 is greater than 8/12 -- therefore 3/4 is greater than 2/3. Here is how our example of comparing fractions with different denominators might appear on paper: So for like denominators you ... Algebra. Evaluate 3^-2. 3−2 3 - 2. Rewrite the expression using the negative exponent rule b−n = 1 bn b - n = 1 b n. 1 32 1 3 2. Raise 3 3 to the power of 2 2. 1 9 1 9. The result can be shown in multiple forms. Exact Form: 1 9 1 9. Decimal Form: 0.¯1 0. 1 ‾. Three-two pull down (3:2 pull down) is a term used in filmmaking and television production for the post-production process of transferring film to video. It converts 24 frames per second into 29.97 frames per second, converting approximately every four frames into five frames plus a slight slow down in speed.The 3:2 aspect ratio is a screen or image format that proportionally contains three units horizontally for every two vertically. It can be calculated by dividing the width … Polynomial. In mathematics, a polynomial is a mathematical expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables. An example of a polynomial of a single indeterminate x is x² − 4x + 7. An example with three indeterminates ... Also Download : JNTUK B.Tech R20 Academic Regulations. JNTUK B.Tech 3-2 sem R20 Regulation Syllabus Books are Available Here. We are uploded the official Syllabus Books For 3-2 semester R20 regulation All Branches like ECE, CSE, EEE, CIVIL, MECH, IT, Automobile, pce etc. Also Check: JNTUK B.Tech 4-1 sem Syllabus R20.First go to the Algebra Calculator main page. In the Calculator's text box, you can enter a math problem that you want to calculate. For example, try entering the equation 3x+2=14 …Extended: Arsenal 5-0 Chelsea. Video. 23 Apr 24. Chelsea Football Club. Full Match of Chelsea's 3-2 Premier League victory against Newcastle United at Stamford Bridge....

Popular Topics