\( x_{1,2} = \frac{ -17 \pm \sqrt{ 17 ^2 - 4 \cdot 1 \cdot 42} }{ 2 \cdot 1 } \)\( x_{1,2} = \frac{ -17 \pm \sqrt{ 121 } }{ 2 } \)\( x_1 = \frac{ -17~+~\sqrt{ 121 } }{ 2 } = -3 \)\( x_2 = \frac{ -17~-~\sqrt{ 121 } }{ 2 } = -14 \)And so\( x^2+17x+42 = (x+3)(x+14) \to x = -3,14 \)But that is what x equals to when you solve it, but by doing it this way we just have to give the opposite sign to the numbers. Multiply Add Calculator. Instead of 2 21, if we had used 6 7, do you think we would get the same factors? Use a gra Q:Identify the intervals where the function is changing as requested. Question. Start your trial now! Explanation: Let the first number be x and the second be y. x + y = 13 xy = 42 y = 13 x x(13 x) = 42 13x x2 = 42 0 = x2 13x +42 0 = (x 7)(x 6) It follows that the total number $N$ we are looking for is given by Can you help him do it? Here we will answer one simple question: What two numbers multiply to 26 and add to 24?Click here to get an answer to your question ?? Can anyone give me any hints on how to solve this? 2x+5y=31 .(1) C.1, 5, 9, 45 When U= 1/2, A = 36. the only numbers that satisfy those two equations. Use MathJax to format equations. Answer = 9.492 Therefore: 45.2 0.21 = 9.492 Long Multiplication with Negative Numbers Time (years) ? What two numbers multiplied together equal 24 but add those two. A:The population of Canada in 2010 was approximately 34 million with an annual growth rate of 0.804%. Multiplication Calculator. Eighth A:Given,WestminsterPhotographyStudioistakinggraduationportraitsforstudentsatlocal A:a) We will insert the given values in a calculator. Can you draw the factor tree with 6 and 7 as the branches? For example 6 and 7 can be multiplied and also 13 and 4 can be multiplied to get 42 as a result. Prime factors of 60 are 1, 2, 3, and 5. The polyhedron shown here is a right prism, and its bases are regular hexagons. -40-35 -30 -25 -20 45 -10 -5 0 5 10. A:Given, 1) 1 month If Janet has 42toys to donateand Bobhas three times the number of toys Janet has. 2 12 = 24. Asking for help, clarification, or responding to other answers. Making statements based on opinion; back them up with references or personal experience. This appeared first in the radio play and later in the novelization of The Hitchhiker's Guide to the Galaxy. 1, 2, 4, 8, 16, and 32(B) Q:Graph f(x) = 2x2 12x Given 27 same-size cubes whose nominal values progress from 1 to 27, a 333, 42 is the only known value that is the number of sets of four distinct positive integers, 42 is the resulting number of the original. As a result of the EUs General Data Protection Regulation (GDPR). Multiples of 42 are 42, 84, 126, 168, 210, 252, 294, 336, 378 and so on. [29], In Herv Le Tellier's novel The Anomaly, a top-secret US Government protocol receives code number 42, inspired by this source. Q:Use the extension of set-builder notation concepts and the roster method to write the given set. Let us express 42 in terms of the product of its prime factors. Let the digits be $d_1,d_2,d_3,d_4,d_5,d_6$, and $d_7$, where we allow leading zeroes so as to make each number in the specified interval a seven-digit integer. 142=42 221=42 314=42 410 1/2=42 58 2/5=42 76=42, and so forth C.H. . The factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42. Do not use negative exponents in the answer. {\displaystyle 2\times 3\times r} See all cards.Sometimes 56 is a clue in the FIND THE FACTORS puzzles. 1. What Lewis Carroll Taught Us: Alice's creator knew all about role-playing. Find an answer to your question What two numbers multiply to -56, and sum to -1.Factors of 56. 1, 2, 4, 5, 7, and 9(D) I'm making 12 necklaces and they need 67 b. She's making 15 bracelets and each one needs 42 beads. 42 is the number of ways to arrange the numbers 1 to 9 in a 3x3 matrix such that the numbers in each row and column are in ascending order. This app is created for a personal accountant project, but it may probably help someone else too. The factors of 54 are 1, 2, 6, 9, 27, 36, and 54. To understand the concept of finding multiples, let us take a few more examples. Factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42 and the factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, and 90. This is a simple online calculator to enter two values to multiply by one another. I am a multiple of 6, also a multiple of 7. Think! You can use any combination of up to 255 numbers or cell references in the PRODUCT function. The Multiplication Calculator is a fun online math tool calculate multiplication result of two different numers in a fast and easy way. Multiply 3 to each term to get the next term. The site owner may have set restrictions that prevent you from accessing the site. What are the two numbers? Mathematics For Machine Technology. Therefore, 42 can be expressed as a product of its prime factors as 2 3 7. Which TWO of those multiply to become 21 and add to become -10?Here we will answer one simple question: What two numbers multiply to 21 and add to 21?A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials. B.1, 7, 9, 63 They add to 17 and multiply to 42. 42 (forty-two) is the natural number that follows 41 and precedes 43. You can specify conditions of storing and accessing cookies in your browser. $$\sum_{k=1}^7 d_k =42,\qquad 0\leq d_k\leq 9\quad(1\leq k\leq 7)\ .$$ ) makes it the second sphenic number and also the second of the form ( Interest 637 Q:if f(x) = 5x + 40, what is f(x) when x= -5. How many three digit positive integers are there, the sum of whose digits is a perfect cube? . computer: Ken Jennings describes what it's like to play against a machine", "Why the number 42 was hidden in plain sight throughout 'Spider-Man: Into the Spider-Verse', "42: Neues KI-Start-up von Jajah-Grnder Daniel Mattes", https://en.wikipedia.org/w/index.php?title=42_(number)&oldid=1125982346, Articles with unsourced statements from February 2011, Articles with unsourced statements from October 2022, Articles with unsourced statements from April 2018, Articles containing Afrikaans-language text, Articles containing Albanian-language text, Articles containing Armenian-language text, Articles containing Bengali-language text, Articles containing Belarusian-language text, Articles containing Bosnian-language text, Articles containing Bulgarian-language text, Articles containing Catalan-language text, Articles containing Chinese-language text, Articles containing Croatian-language text, Articles containing Esperanto-language text, Articles containing Estonian-language text, Articles containing Finnish-language text, Articles containing Filipino-language text, Articles containing West Frisian-language text, Articles containing Galician-language text, Articles containing Georgian-language text, Articles containing Hungarian-language text, Articles containing Icelandic-language text, Articles containing Indonesian-language text, Articles containing Italian-language text, Articles containing Japanese-language text, Articles containing Kannada-language text, Articles containing Latvian-language text, Articles containing Livonian-language text, Articles containing Lithuanian-language text, Articles containing Luxembourgish-language text, Articles containing Macedonian-language text, Articles containing Malayalam-language text, Articles containing Maltese-language text, Articles containing Mongolian-language text, Articles containing Norwegian-language text, Articles containing Punjabi-language text, Articles containing Persian-language text, Articles containing Portuguese-language text, Articles containing Romanian-language text, Articles containing Russian-language text, Articles containing Sanskrit-language text, Articles containing Serbian-language text, Articles containing Sinhala-language text, Articles containing Slovene-language text, Articles containing Spanish-language text, Articles containing Swedish-language text, Articles containing Tagalog-language text, Articles containing Turkish-language text, Articles containing Ukrainian-language text, Articles containing Vietnamese-language text, Articles containing Volapk-language text, Creative Commons Attribution-ShareAlike License 3.0. 6 HW Problem 3 a) common method # 270 multiply 3 by every number 237 first, then do the same for X 10 , Ignore the decimal places and complete the multiplication as if operating on two integers. Hence, they are factors of 42. fx=-2x2-12x-16=-2x2+6x+ Q:Write and solve a system of nonlinear equations to answer the following: The difference of two posit Q:Write a system of equations to describe the situation below, solve using any method, and fill Q:Graph the line through point (-1,2) m= -1. Q:The table gives the population of the United States, in millions, for the years 1900-2000. I need help with this homework and its really confusing.3 Answers By Expert Tutors. MATH 1350. Factors of 60 are the numbers which divide 60 exactly without any remainder. Example 2:Kate drew a rectangle whose widthis twice the length. Factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42. 2,2=44 Example: Largest number is 17 So, 17 - 10 = 07 and 17 - 11 = 6 Step 4: Multiply the numbers obtained in previous step by 3. In the case of multiplying 6 and 7 we get 42 but on adding them we get 13. Are the multiples of 42? Viking Penguin, 2003, p. 162, Answer to the Ultimate Question of Life, the Universe, and Everything, an enormous supercomputer named Deep Thought, The Restaurant at the End of the Universe, Viva la Vida or Death and All His Friends, "Sequence A002378 (Oblong (or promic, pronic, or heteromecic) numbers)", On-Line Encyclopedia of Integer Sequences, "Sequence A054377 (Primary pseudoperfect numbers)", "Sequence A051867 (15-gonal (or pentadecagonal) numbers)", "Sequence A019283 (Let sigma_m (n) be result of applying sum-of-divisors function m times to n; (m,k)-perfect if ; sequence gives the (2,6)-perfect numbers. 5. graph the two equations, xy=36 and x+y=-6. The multiples of 14 are 14, 28, 42, 56, 70, 84, 98, 112, 126 and so on. Browse other questions tagged, Start here for a quick overview of the site, Detailed answers to any questions you might have, Discuss the workings and policies of this site, Learn more about Stack Overflow the company, Since $9999999$ is not a solution, this is same as the number of compositions of $49$ into exactly $7$ positive parts each no more than $10$, which my, @tohecz: On the contrary, when taken with the linked material it does most of the work. (08.02 LC) There is also a sum string to add the multiplication results and find an overall value, which is useful for statistics. Step 3: Subtract other numbers from the largest number among all the three blocks to get two new numbers. Why is integer factoring hard while determining whether an integer is prime easy? 10.5 4 = 42, are 10.5 and 4 factors of 42? Factors of 42 are the numbers which divide 42 exactly without any remainder. Thus, to calculate the Ultimate Question, a special computer the size of a small planet was built from organic components and named "Earth". 4) 20 years. The common multiples of 14 are 42, 84, 126 and so on. Is the number 40 a multiple of 8? > K.10 Simple interest YAT -4 This answer has been confirmed as correct and helpful. then clicking an x-intercept. Positive integers and the number of their digits. Distance between e Q:3. So the correct 2 numbers are 13 and 4. What is this bicycle Im not sure what it is. Here is a simple activity to try on your own. This is the last number to multiply so write the whole number answer. This answer shows such an argument in some detail in a smaller problem of this kind. 42 is the sum of the numbers on a pair of dice. In this lesson, we will calculate the factors of 42, its prime factors, and its factors in pairs. Both the formula that I used here and a pretty decent explanation/derivation of it can be found at the link. nice answer, cat! Inthis mini-lesson let us explore more about the ways to calculate multiples of 42. Do I need to replace 14-Gauge Wire on 20-Amp Circuit? Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Example 2: Can you help Andrea list the prime factors of 42 and 60? In this method, we divide 42 by the smallest prime number 2 (if the number is odd, we start with 3). You can see how other students answered a similar question and compare them with your solution. This site is using cookies under cookie policy . The multiples of 42 are 42 multiplied with the integers. The first multiple of every number is the number itself. This method is called the upside-down division because the division symbol is flipped upside down. (A) Explore factors using illustrations and interactive examples: Factor pairs are the two numbers which, when multiplied, give the number 42. Included add counter to find the sum of all multiplied numbers. The factors of 54 are 1, 2, 3, 6, 9, 18, 27, and 54. Hence, the factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60. We will also try a few solved examples to understand this topic better. The number itself is a factor of the number as it divides itself exactly. multiply it by counting numbers(1, 2, 3, 4, ..) as 42 1 = 42, 42 2=84,and so on. In this case 2, 3, 6, and . ts The common factors of 42 and 90 are 1, 2, 3, and 6, therefore, the lowest common factor of 42 and 90 is 1 and the greatest common factor of 42 and 90 is 6. All Rights Reserved. (adsbygoogle = window.adsbygoogle || []).push({}); There are several numbers that can be multiplied to get 42. Divide 2 to each term to get the next term. Add 2 to each term to get the next term. First week only $4.99! But that is what x equals to when you solve it, but by doing it this way we just have to give the opposite sign to the numbers. What 2 numbers add up to get 17 and multiply to get 42? 8 21 4 = 42, does this mean 8 and 21 4 are factors of 42? See Solution. Given Length = 42 inches and I hope the removal of the generality makes this easier to follow, yet still shows how one would extend the answer to other cases. The least common multiple of 42 and 36 = 252. 7 and 6 are another along with 21 and 2.No whole number can be multiplied by 5 to get 42, so we skip it. There are infinite sets of two real numbers which can be multiplied to get 42. e.g. Then the coefficient of $x^{42}$ in $C(x)$ is $\binom{7}{0}b_{42}-\binom{7}{1}b_{32}+\binom{7}{2}b_{22}-\binom{7}{3}b_{12}+\binom{7}{4}b_2$. Which number sentence is modeled Now you can compute on any calculator (or by hand) that this really equals $209525$. In prime factorization, we express 42 as the product of its prime factors and in the division method, we look for numbers that divide 42 exactly without a remainder. 4,4=816 A:The given integral is3x2+8xx3+4x2-5dx. We can do this using the division method or by using a factor tree. If you use Maple and put. Without the restriction this is a standard stars-and-bars problem, whose solution is, $$\binom{42+7-1}{7-1}=\binom{48}6\;.\tag{1}$$. Asked 12 hours 23 minutes ago|11/28/2022 4:42:56 PM. The general formula for $\ell$ digits summing up to $n$ in the base $b$ is: Factor pairs are the pairs of two numbers which, when multiplied, give the number. 13x?x2=42. Check out a sample Q&A here. 2 * 21 = 42 Factors: 1, 221, 42 Try 3. MathJax reference. Log in for more information. Start with 1. Subtract 3 to each term to get the next term. The angle rounded to whole degrees for which a, In 1966, mathematician Paul Cooper theorized that the fastest, most efficient way to travel across continents would be to bore a straight hollow tube directly through the. Additional properties of the number 42 include: The number 42 is, in The Hitchhiker's Guide to the Galaxy by Douglas Adams, the "Answer to the Ultimate Question of Life, the Universe, and Everything," calculated by an enormous supercomputer named Deep Thought over a period of 7.5 million years. Similarly: 9 6 means add 9 to itself 6 times: 9 + 9 + 9 + 9 + 9 + 9 = 54 100 2 means add 100 to itself 2 times: 100 + 100 = 200 Although multiplication isn't as warm and fuzzy as addition, it's a great timesaver. How do you check a solution to a problem? ex+y=ex.eylnxy=yln(x)elnx=x. Factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42 similarly factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60. What is the best method of determining the cost of downloading 26 movies, if it cost $2.25 to How do you solve word problems involving percents? 16 below by first selecting the correct shape A:The given function isfx=-2x2-12x-16. 42 1 = 42 . $$ Multiply the tens digit in the bottom number by each digit in the top number. \sum_{j=0}^7(-1)^j\binom{7}{j}\binom{48-10j}{42-10j}=209525 View this answer now! All the multiples of 42are multiples of the, A multiple is termed to be a common multipleif it is common to two or more numbers. star_border. Find the value of f (- 4). b. By clicking Post Your Answer, you agree to our terms of service, privacy policy and cookie policy. What are all the factors of the number 32 The way we collect, process, and store cookies is reflected in our, Conversion of Decimals, Fractions, and Percent. Using the calculator we get the quadratic equati Q:A population is growing logistically, and its graph has an inflection point when the time is 5 years Q:What is an arbitrary vector? 1 and 90(B) Step 1: The number 42 is divided by the smallest prime number which divides 42 exactly, i.e. See all cards. Find answers to questions asked by students like you. Under what conditions would a cybercommunist nation form? What numbers multiply to get -42 and add to get -11. Expert Solution. 42 is also ten factorial divided by the number of seconds in a day (i.e. For example 6 and 7 can be multiplied and also 13 and 4 can be multiplied to get 42 as a result. Hope this helps! Any integer multiplied with 42 results in its multiples. Factors of a number are the numbers which divide the given number exactly without leaving any remainder. Question. 42 in Chinese reads s r, which is very close to sh a (), which means 'yes'. Algebra Expressions, Equations, and Functions Problem-Solving Models 1 Answer Noah G Sep 1, 2016 The numbers are 6 and 7. where we take $\binom{n}{k}=0$ when $k\lt0$. 3 x 14 = 41 and 42 are one pair. 7 is a prime number. Prime factorization means expressing a number in terms of the product of its prime factors. The fourth book in the series, the novel So Long, and Thanks for All the Fish, contains 42 chapters. Viola! So, they are all factors of 42. Then,5,5=. B C For example, the formula =PRODUCT (A2,A4:A15,12,E3:E5,150,G4,H4:J6) multiplies two single cells (A2 and G4), two numbers (12 and 150), and three ranges (A4:A15, E3:E5, and H4:J6). Now: You can subtract y from both sides of the second equation to get x=-y-1, which you can then substitute into the first: When one of the numbers is -7, the other is 6, and when it is 6, the other is -7. Included add counter to find the sum of all multiplied numbers. The question is just a variation on this one: Probability of random integer's digits summing to 12. which provides several neat theoretical solutions. The answer is (select) . In any case it's not intended to be complete; indeed, it's intended not to be complete. 42 1 = 42. Then 58= But the question also has an additional part and that part requires the multiplying factors to add up and make 17 as the result. The primary mission of sts-math.com is helping students of all ages to deal with numerous mathematical tasks. 4 Q:Westminster Photography Studio is taking graduation portraits for students at local schools. 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, and 90(A) 2x+5y=31 93=0 Example 1:Janet and Bobboth love to donate their toys to the needy ones. The original numbers are factors of the product number. The number 12 is called multiplier. Rate % 8.5 , Help please I really need help with understanding the question. Why do we always assume in problems that if things are initially in contact with each other then they would be like that always? 1, 3, 5, 7, 10, and 32(A) 1, 4, 8, 12, 16, and 32(C) Multiply two numbers. Get access to millions of step-by-step textbook and homework solutions, Send experts your homework questions or start a chat with a tutor, Check for plagiarism and create citations in seconds, Get instant explanations to difficult math equations. Algebraic Operations Of Division, Powers, And Roots. 3 and 7 are prime numbers and at this point, the factor tree ends. fx=x2+8x7f4=42+847f4=16327f Q:A= $ after Great Fortune: the Epic of the Rockefeller Centre. 2, 4, 8, 9, 10, 26, and 56(B) ", "Ancient astronomy and the naked-eye planets", "Scroll of the Law (Hebrew, "Sefer Torah")", "In A BeginningQuantum Cosmology and Kabbalah", "Mathematical Fiction: Hitchhiker's Guide to the Galaxy (1979)", "42: Douglas Adams' Amazingly Accurate Answer to Life the Universe and Everything", "Lewis Carroll and Douglas Adams Word Ways Find Articles".
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