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 logarithm/345739: can you help me simplify the expression log3(1/27) .. the three is suppose to be little but i didnt know how to do that on the computer.1 solutions Answer 247275 by solver91311(16868)   on 2010-09-20 18:13:25 (Show Source): You can put this solution on YOUR website! Do it like this next time log_3(1/27) Use the defintion of logs. So if then But So And finally Therefore John My calculator said it, I believe it, that settles it
 Functions/345761: what is y=3x-1? domain 1,2,3,4,51 solutions Answer 247248 by solver91311(16868)   on 2010-09-20 17:29:03 (Show Source): You can put this solution on YOUR website! Take each value of the domain set and replace . Each time, do the arithmetic to calculate the resulting value of and then create an ordered pair where is the value selected from the domain and is the value calculated. At the end you will have a set of five ordered pairs that represents the given linear function. John My calculator said it, I believe it, that settles it
 Functions/345758: Find the indicated outputs forf(x)=2x^2 -5x f(0)= f(-1)= f(2)= Thanks Tammy1 solutions Answer 247246 by solver91311(16868)   on 2010-09-20 17:25:51 (Show Source): You can put this solution on YOUR website! All you need to do is replace in the function definition with the value in the parentheses and then do the indicated arithmetic. For example: The arithmetic is yours to do. John My calculator said it, I believe it, that settles it
 Graphs/345748: alright so I'm suposed to graph g(x) = 45+9x and i know how to do a problem where say g(5) and then they go 4+g = 9 but im not sure how you would graph it, I'm not sure this is in the right topic, but i could really use some help! so if you awnser this thank you!1 solutions Answer 247245 by solver91311(16868)   on 2010-09-20 17:23:07 (Show Source): You can put this solution on YOUR website! Let . Then graph just like any other linear equation. John My calculator said it, I believe it, that settles it
 Functions/345735: THe perimeter of a rectangle is 210 meters . How do i express the area as a function of the length, and how do I state the domain of the function. THis is what I have so far A=L*W A=X(105-X) 210/2=105 domain is 01 solutions Answer 247244 by solver91311(16868)   on 2010-09-20 16:57:30 (Show Source): You can put this solution on YOUR website! Set up the specific perimeter equation for this rectangle: Solve for Substitute this expression for into the area formula creating an expression for Area as a function of length: Ordinarily a polynomial function would have the set of all real numbers as a domain, but this is a function that describes a physical object, and if or , then a physical rectangle no longer exists because you cannot have a 0 or negative area for a real rectangle. Hence the domain is the interval John My calculator said it, I believe it, that settles it
 real-numbers/345726: what sets of numbers do these belong to.... if there is more than one answer please list all of them.... -2.5 3 3/5 the square root of 25 and the sign pie 1 solutions Answer 247242 by solver91311(16868)   on 2010-09-20 16:45:07 (Show Source): You can put this solution on YOUR website! For this problem, the universe of number sets that I will use consists of: Complex numbers Real numbers Transcendental irrational numbers Algebraic irrational numbers Rational numbers Integers Natural Numbers If you have other sets to choose from, you are on your own there. : Real, Rational : Real, Rational : Real, Rational, Integer, Natural : Real, Transcendental Irrational And just as an 'oh by the way': "Pie" is a prepared food item, generally round in shape, with a more or less flaky crust depending on the qualtity, and, when used as a dessert item generally has a sweet filling often made of fruit, or when used as an entrée or side dish item, generally has some sort of savory filling. "Pi" is the generally accepted English language equivalent of the 16th letter of the lower case Greek alphabet, frequently rendered as , representing the fixed but transcendental (because it is not a root of a non-constant polynomial equation with rational coefficients) irrational (because it is not the quotient of two integers) ratio between the circumference of a circle and the diameter of that same circle. John My calculator said it, I believe it, that settles it
 Expressions-with-variables/345721: How do you simplify 3(2a+4b+7)+6a1 solutions Answer 247241 by solver91311(16868)   on 2010-09-20 16:28:00 (Show Source): You can put this solution on YOUR website! Multiply each of the terms inside the parentheses times three, then remove the parentheses. Then add the 6a term to the other "a" term -- the one formerly inside of the parentheses. John My calculator said it, I believe it, that settles it
 Travel_Word_Problems/345720: how long will it take a car going 65 miles per hour to catch up with a car going 55 miles per hour if it starts 1 hour behind1 solutions Answer 247239 by solver91311(16868)   on 2010-09-20 16:25:16 (Show Source): You can put this solution on YOUR website! In one hour, the 55 mph car will have gone 55 miles. The 65 mph car will use up 55 mph of its speed just staying even with the slower car and then only has 65 minus 55 equals 10 mph to use to catch up. How long does it take to go 55 miles at 10 mph? John My calculator said it, I believe it, that settles it
 Trigonometry-basics/345713: what are the six trigonometric funtions of theta=3001 solutions Answer 247238 by solver91311(16868)   on 2010-09-20 16:21:23 (Show Source): You can put this solution on YOUR website! Look on the unit circle. The coordinate is the value of , the coordinate is the value of . Then: . Don't forget to rationalize all of your denominators for the reciprocal functions. John My calculator said it, I believe it, that settles it
 Probability-and-statistics/345548: Q1: A class has 10 male and 20 female students out of which half of the male and half of the females have brown eyes. A person is selected at random,what is the probability that this person is either a female or has brown eyes? Q2: 3 students are in a competition for scholarship.The student A is twice as likely to get scholarship as B and B is twice as likely to get as C.What is the probability that either student A or B will get the scholarship?1 solutions Answer 247230 by solver91311(16868)   on 2010-09-20 16:03:04 (Show Source): You can put this solution on YOUR website! The probability of anything is the number of ways that it can happen that you would consider a success divided by the number of ways it can happen total -- successes and failures. There are 30 people in the class -- that is the denominator of your fraction. Any one of the 20 females, brown eyes or not, is a success plus that half of the males that have brown eyes. 10 males half of which is 5. So 20 plus 5 is 25 and that is your numerator. Remember to reduce your fraction. John My calculator said it, I believe it, that settles it
 Expressions-with-variables/345684: explain how you would find a value of x that makes x + (-3) = -8 true without using models 1 solutions Answer 247229 by solver91311(16868)   on 2010-09-20 15:55:59 (Show Source): You can put this solution on YOUR website! Just add 3 to both sides. John My calculator said it, I believe it, that settles it
 Linear_Equations_And_Systems_Word_Problems/345625: Norton has at most 6 more vests than Ralph, but he has at least 1 more than twice as many vests as Ralph. How many vests could Norton have? 1 solutions Answer 247221 by solver91311(16868)   on 2010-09-20 15:06:19 (Show Source): You can put this solution on YOUR website! The least number of vests that Ralph can have is zero. Therefore, the least number that Norton can have is 1. But there is no upper limit on the number of vests that Ralph can have and therefore no upper limit on the number of vests that Norton can have. John My calculator said it, I believe it, that settles it
 Miscellaneous_Word_Problems/345607: In last Saturday's parade, Tom Counted a total of 76 bicycles and tricycles, for a total of 227 wheels. How many tricycles were in the parade?1 solutions Answer 247197 by solver91311(16868)   on 2010-09-20 14:23:22 (Show Source): You can put this solution on YOUR website! Let represent the number of bicycles and let represent the number of tricycles. Then represents the number of wheels on bicycles and represents the number of wheels on tricycles. We know that: and that Solve the system for Hint: Solve the first equation for or in terms of everything else, and then substitute into the second equation. John My calculator said it, I believe it, that settles it
 Geometry_proofs/345593: PROVE: If an isosceles triangle has an altitude from the vertex to the base, then the altitude bisects the vertex angle. GIVEN: Triangle ABC is isosceles; Segment CD is the altitude to base of segment AB TO PROVE: Segment CD bisects angle ACB Can someone PLEASE help me with this 2 column proof? I have to put the statements and reasons....I am having so much trouble. 1 solutions Answer 247187 by solver91311(16868)   on 2010-09-20 14:01:37 (Show Source): You can put this solution on YOUR website! If CD is an altitude to AB, then CD must be perpendicular to AB because of the definition of an altitude. Since a ray perpendicular to a segment creates two right angles, angles ADC and BDC must both be right angles and therefore are equal in measure. Angles CAD and CBD must be equal in measure because the triangle is isosceles and AB is the base. Segment CD is equal in measure to segment CD since things are always equal to themselves. Hence triangle CAD is congruent to triangle CBD by AAS. Hence angle ACD is equal in measure to angle BCD by CPCT. Therefore segment CD bisects angle C by definition of an angle bisector. John My calculator said it, I believe it, that settles it
 Probability-and-statistics/345595: A quiz cosists of 20 multiple-choice questions, each with 5 possible answers. For someone who makes random guesses for all of the answers, find the probability of passing if the minimum passing grade is 70 %.1 solutions Answer 247181 by solver91311(16868)   on 2010-09-20 13:50:12 (Show Source): You can put this solution on YOUR website! The probability of successes in trials where is the probability of success on any given trial is given by: Where is the number of combinations of things taken at a time and is calculated by For this problem, since there are 5 possible answers for each question, the probability of success on any given trial is 70% of 20 is 14, so in order to pass, the test taker must get at least 14 correct. The probability of at least 14 correct is the sum of the probabilities of exactly 14, exactly 15, exactly 16, and so on. So your calculation becomes: Now doing all of that arithmetic has all of the entertainment value of watching paint dry, so here's a very fast shortcut IF you have Excel or Numbers for MAC. Type in the following exactly: =1-BINOMDIST(13,20,0.2,true) When you hit enter you will get the result of the summation above. Not quite 2 chances out of a million. Moral of the story -- study for your multiple choice exams. John My calculator said it, I believe it, that settles it
 Probability-and-statistics/345596: The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation. Recently, Southwest Air had the best reate with 80 % of its flights arriving on time. A test is conducted by randomly selecting Southwest flights and observing whether they arrive on time. (a) Find the probability that exactly flights arrive on time. 1 solutions Answer 247171 by solver91311(16868)   on 2010-09-20 13:31:28 (Show Source): You can put this solution on YOUR website! The probability of successes in trials where is the probability of success on any given trial is given by: Where is the number of combinations of things taken at a time and is calculated by For your situation, , but you didn't specify how many flights were observed nor exactly how many should be on time, so I can't help you with and John My calculator said it, I believe it, that settles it
 Numbers_Word_Problems/345570: If three times the smaller of two consecutive integers is added to four times the larger, the result is 144. Find the smaller integer.1 solutions Answer 247168 by solver91311(16868)   on 2010-09-20 13:27:10 (Show Source): You can put this solution on YOUR website! Let represent the smaller of the two consecutive integers. Then represents the larger. Solve for . John My calculator said it, I believe it, that settles it
 Length-and-distance/345592: find the coordinates of the missing endpoint given the E is the midpoint of DF 1.F (5,8),E(4,3) 2.F(2,9),E(-1,6) 3.D(-3,-8),E(1,-2) plz i rely cant find out how to do these and im home sick so i cant get help from teacher. 1 solutions Answer 247164 by solver91311(16868)   on 2010-09-20 13:15:41 (Show Source): You can put this solution on YOUR website! Use the midpoint formulas: and where and are the coordinates of the given points. In your case, you are given one of the points and the coordinates of the midpoint, so you will substitute values for and that you get from point F or D and for and that you get from point E. Then solve the equation for and to get the values for the coordinates for either D or F as the case may be. John My calculator said it, I believe it, that settles it
 Problems-with-consecutive-odd-even-integers/345563: Find 3 consecutive integers whose sum is -63.1 solutions Answer 247149 by solver91311(16868)   on 2010-09-20 12:06:34 (Show Source): You can put this solution on YOUR website! Let represent the first of three consecutive integers. Then represents the next one, and represents the one after that. So: Solve for to determine the first of the three integers. Add 1 to get the next one. Add one more to get the last one. John My calculator said it, I believe it, that settles it
 Parallelograms/345569: hello i am stuck on the following problem 1/2y + 10 = 2y-2 i would appreciate any help you can give me thank you sue beaulieulj@gmail.com 1 solutions Answer 247148 by solver91311(16868)   on 2010-09-20 12:02:22 (Show Source): You can put this solution on YOUR website! Start by multiplying both sides by 2. Write back if you are still stuck. John My calculator said it, I believe it, that settles it
 Rectangles/345568: Find the perimeter of a rectangular board whose length is 3 feet longer than the width. p=2l+2w1 solutions Answer 247147 by solver91311(16868)   on 2010-09-20 12:00:39 (Show Source): You can put this solution on YOUR website! If the length is 3 feet longer than the width, then Then substituting in the formula for perimeter we get: which simplifies to: John My calculator said it, I believe it, that settles it
 Probability-and-statistics/345566: 3. Roll a fair die twice. Repeat the experiment a total of 50 times. Record the sum of the two rolls in the table below. Value of x, the sum of the two rolls Frequency 1 solutions Answer 247146 by solver91311(16868)   on 2010-09-20 11:56:59 (Show Source): You can put this solution on YOUR website! You cannot POSSIBLY be asking one of us to sit here and roll a pair of dice 50 times and record the results. I have run into some very lazy students on this site in the past couple of years, but so far you are the world champion. John My calculator said it, I believe it, that settles it
 Inequalities/345562: Solve the inequality of (11/12)x < 11 and write it in interval notation.1 solutions Answer 247145 by solver91311(16868)   on 2010-09-20 11:52:09 (Show Source): You can put this solution on YOUR website! Multiply both sides by Interval: John My calculator said it, I believe it, that settles it
 Number-Line/345530: __________.x^3________x^2.____________x.__________________________ If x, x^2 , and x^3 lie on a number line in the order shown above, which of the following could be the value of x? A. -2 B -1/2 C 3/4 D 1 E 3/21 solutions Answer 247144 by solver91311(16868)   on 2010-09-20 11:40:59 (Show Source): You can put this solution on YOUR website! Just plug in each of the values given in place of and do the arithmetic. Hint: Two of the given answers leave , , and in the given order. John My calculator said it, I believe it, that settles it
 Inequalities/345559: Solve the inequality of 11/12x < 11 and write it in interval notation.1 solutions Answer 247142 by solver91311(16868)   on 2010-09-20 11:35:48 (Show Source): You can put this solution on YOUR website! Do you mean: , which should have been written (11/12)x < 11, or , which should have been written 11/(12x) < 11 Repost using appropriate parentheses. John My calculator said it, I believe it, that settles it
 Inequalities/345556: Solve the inequality of -3 and answer in interval notation.1 solutions Answer 247140 by solver91311(16868)   on 2010-09-20 11:31:15 (Show Source): You can put this solution on YOUR website! What exactly do you mean by "the inequality of -3"? Is something not equal to -3? Less than -3? Greater than -3? Less than or equal to -3? Greater than or equal to -3?. Exactly what part of "ask your question clearly and fully so that it MAKES SENSE" don't you understand? I case you missed it, that is one of the instructions for posting. John My calculator said it, I believe it, that settles it
 Complex_Numbers/345555: Evaluate: 5-|a+5b| is a =-12 and b=2 Please show work. Thank you so much for all of your help!!!1 solutions Answer 247139 by solver91311(16868)   on 2010-09-20 11:26:13 (Show Source): You can put this solution on YOUR website! 5 times 2 is 10 -12 + 10 is -2 Absolute value of -2 is 2 5 - 2 is 3. John My calculator said it, I believe it, that settles it
 Geometry_proofs/345533: Given: Angle BAD ~ Angle CAD Underneath the ~ sign are equal marks AD congruent BC , over the AD & BC is a line Prove: Triangle ABC is Isosceles using the two column proof method. 1 solutions Answer 247138 by solver91311(16868)   on 2010-09-20 11:24:16 (Show Source): You can put this solution on YOUR website! Can't help you without knowing where point D is in relation to the three vertices of triangle ABC. John My calculator said it, I believe it, that settles it
 Average/345552: Perform the indicated operation and simplify completely ^20+6^5 1 solutions Answer 247137 by solver91311(16868)   on 2010-09-20 11:21:33 (Show Source): You can put this solution on YOUR website! Sorry, your expression makes no sense. What is it that you are raising to the 20th power? John My calculator said it, I believe it, that settles it
 test/345256: Please help me solve this equation: 1 solutions Answer 246906 by solver91311(16868)   on 2010-09-19 19:11:04 (Show Source): You can put this solution on YOUR website! Just divide your integral into two separate parts and add the two. can be written as: John My calculator said it, I believe it, that settles it
 Geometry_proofs/345254: given: m<1=m<2, m<3=m<4 Prove: ray YS is perpendicular to line XZ prove in two column form (statement, reason)1 solutions Answer 246897 by solver91311(16868)   on 2010-09-19 18:28:55 (Show Source): You can put this solution on YOUR website! Sorry, can't help you. Have to be able to see the picture and how the 4 angles relate to the segment and the ray. John My calculator said it, I believe it, that settles it