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Trigonometry-basics/472422: f(x)=(10/3)^x grop it 1 solutions Answer 323898 by solver91311(16868)   on 2011-07-20 13:17:22 (Show Source): You can put this solution on YOUR website! Sorry, don't know how to grop a function. Is that anything like grok from Heinlein's Stranger in a Strange Land? John My calculator said it, I believe it, that settles it

Equations/472410: Factorize the binomial -1+y² = ( ) ( ) 1 solutions Answer 323886 by solver91311(16868)   on 2011-07-20 12:51:30 (Show Source): You can put this solution on YOUR website! Turn it around. Addition is commutative after all. Now factor the difference of two squares. John My calculator said it, I believe it, that settles it

Travel_Word_Problems/471906: a car travels at an average speed of 48 miles per hour. how many miles does it travel in 4 hours and 15 minutes 1 solutions Answer 323608 by solver91311(16868)   on 2011-07-19 13:19:12 (Show Source): You can put this solution on YOUR website! 4.25 times 48 John My calculator said it, I believe it, that settles it

Functions/471912: f(x)=-4x-2 and g(x)=5x-6 Find f*g and state the domain 1 solutions Answer 323606 by solver91311(16868)   on 2011-07-19 13:13:11 (Show Source): You can put this solution on YOUR website! Just multiply the two binomials together (Remember FOIL?). And, just like all other polynomial functions, the domain is all real numbers. John My calculator said it, I believe it, that settles it

Probability-and-statistics/471927: Plz help with process! Two students are selected at random from a class of 14 males and 6 females. Find the probability that both students are males (to two decimals). 1 solutions Answer 323602 by solver91311(16868)   on 2011-07-19 13:06:35 (Show Source): You can put this solution on YOUR website! This is a binomial process. There are only two possible outcomes on any given trial: You either pick a guy or a girl. There are 14 guys out of 20 people (0.7 probability) and there are 6 girls out of 20 people (0.3) probability. The probabilities are PER TRIAL. You want to know the probability of exactly two males out of two attempts. 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 problem: Hint: And John My calculator said it, I believe it, that settles it

logarithm/471922: solve equations : 1/3log(x) - log (1000) = 3 1 solutions Answer 323595 by solver91311(16868)   on 2011-07-19 12:49:21 (Show Source): You can put this solution on YOUR website! Presuming the normal convention of an unspecified base denoting base 10 logarithms, and using: We can deduce that So Substituting: Then using again we can say: John My calculator said it, I believe it, that settles it

Money_Word_Problems/471916: I spent half my weekly allowance to earn more $ I washed my parents car for 4$ wht is my weekly allowance if I ended with 12$ 1 solutions Answer 323593 by solver91311(16868)   on 2011-07-19 12:29:39 (Show Source): You can put this solution on YOUR website! Take the $4 away from the $12 you have leaving you with half of your allowance. Multiply by 2. John My calculator said it, I believe it, that settles it

Miscellaneous_Word_Problems/471918: A total of tickets were sold for the school play. They were either adult tickets or student tickets. There were more student tickets sold than adult tickets. How many adult tickets were sold? 1 solutions Answer 323592 by solver91311(16868)   on 2011-07-19 12:27:38 (Show Source): You can put this solution on YOUR website! Let represent the number of student tickets sold. Let represent the number of adult tickets sold. Let represent the total number of tickets sold. Let represent the number of student tickets that exceeded the number of adult tickets. Substitute from the 2nd equation into the first equation: And that is as far as anyone can go without the information you left out. John My calculator said it, I believe it, that settles it

logarithm/471611: Log[5]3.3x=log[5](4+27x^(2)) 1 solutions Answer 323451 by solver91311(16868)   on 2011-07-18 18:08:05 (Show Source): You can put this solution on YOUR website! Therefore if then I'll leave it as an exercise for the student to find the complex roots of the quadratic. Since the domain of is The solution set of is the null set. John My calculator said it, I believe it, that settles it

test/471590: Is 75 prime composite or neither 1 solutions Answer 323444 by solver91311(16868)   on 2011-07-18 17:36:35 (Show Source): You can put this solution on YOUR website! 75 is an integer, so it must be either prime or composite. It cannot be 'neither' If any integer other than 1 or the integer itself evenly divides an integer, then that integer is composite, otherwise it is prime. John My calculator said it, I believe it, that settles it

Probability-and-statistics/471597: If the odds of winning a raffle are 17:200, what is the probability of winning? 1.17/200 2.200/217 3.17/183 4.17/217 1 solutions Answer 323443 by solver91311(16868)   on 2011-07-18 17:33:38 (Show Source): You can put this solution on YOUR website! The odds for an event are the number of favorable outcomes divided by the number of unfavorable outcomes. The probability of an event are the number of favorable outcomes divided by the number of all outcomes. John My calculator said it, I believe it, that settles it

Volume/471592: Find the volume of the pyramid with a rectangular base shown below. (Points : 5) 108 cubic inches 270 cubic inches 75 cubic inches 30 cubic inches 1 solutions Answer 323442 by solver91311(16868)   on 2011-07-18 17:29:12 (Show Source): You can put this solution on YOUR website! Shown below what? John My calculator said it, I believe it, that settles it

Miscellaneous_Word_Problems/471601: the lowest frequency we can hear is 20 Hz.calculated the wavelenght associated with this frequency for sounf that travels at 340 m/s 1 solutions Answer 323441 by solver91311(16868)   on 2011-07-18 17:24:56 (Show Source): You can put this solution on YOUR website! Ask this question on a physics site. Or provide the formula

Trigonometry-basics/470838: Factorise each of the following over C a) f(z)=z^3+z^2+2z-4 b)g(z)= z^3+(2-i)z^2-z-2+i i tried solving them as: a) the factor of f(z) is (z-1), then do the long division and the answer will be (z^2+2z+4) and so f(z)=(z-1)(z^2+2z+4) = (z-1)(z+1)^2 -1+4 <<< got stuck, how can i complete? b)the factor of g(z) is (z+2+i), then do the long division and the answer will be z^2+1 and so g(z)= (z+2-i)(z^2-1) <<<< how can i complete? Thanks 1 solutions Answer 322946 by solver91311(16868)   on 2011-07-16 02:29:05 (Show Source): You can put this solution on YOUR website! On problem number 1, so far, so good. Just like you said. Next take the quadratic factor and set it equal to zero, then solve the quadratic equation using the quadratic formula: . Hence the factors of the quadratic trinomial are: Hence: The other one is easier. Factor the quadratic factor as the difference of two squares. John My calculator said it, I believe it, that settles it

Geometric_formulas/470834: Hi I was hoping someone could please help me with this! I appreciate all the help!!!! :) Use an Euler diagram to determine whether the syllogism is valid or invalid. Some professional golfers give golf lessons. All people who belong to the PGA are professional golfers. ∴ All people who belong to the PGA give golf lessons. 1 solutions Answer 322941 by solver91311(16868)   on 2011-07-16 01:44:42 (Show Source): You can put this solution on YOUR website! Draw a rectangle. That is the universe of golfers. Draw a circle inside of the rectangle that represents that subset of golfers that are professionals. Draw another circle that partially overlaps the first circle that represents golfers who give golf lessons (I think we can safely draw this second circle entirely within the universe of golfers since it is hard to imagine a person who gives golf lessons that is not a golfer) Draw another circle that is completely inside of the professional golfer circle that represents members of the PGA. The PGA circle may or may not overlap the golf instructor circle -- it probably does, but nothing in the premises requires it. Part of the PGA circle at least is not inside of the golf instructor circle. Therefore it is not valid to conclude that all PGA members give golf lessons. John My calculator said it, I believe it, that settles it

Geometry_Word_Problems/470831: a side of an equilateral triangle is 3/11 feet.find the perimeter of a triangle. 1 solutions Answer 322940 by solver91311(16868)   on 2011-07-16 01:33:29 (Show Source): You can put this solution on YOUR website! If it is an equilateral triangle, then all three sides have the same measure. The perimeter of a triangle is the sum of the measures of the three sides. John My calculator said it, I believe it, that settles it

Volume/470451: my refridgerator is 2 ft 8 inches from left to right 2 ft 6 inches from front to back 5 ft 8 inches from top to bottom what is the measurements in cubic ft. 1 solutions Answer 322700 by solver91311(16868)   on 2011-07-14 20:15:04 (Show Source): You can put this solution on YOUR website! 8 inches is 2/3 foot, and 6 inches is 1/2 foot. So multiply John My calculator said it, I believe it, that settles it

Age_Word_Problems/470488: chris is 1/2 aas old as his father; a year ago he xas 1/3 as old as his father.what is the age of each? 1 solutions Answer 322696 by solver91311(16868)   on 2011-07-14 19:22:54 (Show Source): You can put this solution on YOUR website! Let represent Chris' age. Let represent the father's age. Then was Chris' age a year ago and represents the father's age a year ago. Solve by substitution Hmmm, interesting. When Chris is 2 years old, his father is 4 years old. His father was 2 years old when Chris was born. Makes sense if Chris and his father are dogs. John My calculator said it, I believe it, that settles it

Quadratic_Equations/470485: what are the following examples of quizzes that i can give to the low sections? 1 solutions Answer 322695 by solver91311(16868)   on 2011-07-14 19:06:15 (Show Source): You can put this solution on YOUR website!

Probability-and-statistics/470481: How many 5-digit numbers can be formed with the first three digits odd and the last two digits even if repetition of digits is allowed? Also, if repetition of digits is not allowed? 1 solutions Answer 322694 by solver91311(16868)   on 2011-07-14 19:01:20 (Show Source): You can put this solution on YOUR website! There are 5 even digits and 5 odd digits. So if you allow repetition, there are 5 ways to select the first digit. For each of those ways there are 5 ways to select the second digit. For each of those 25 ways there are 5 ways to select the third digit. So with repetition If repetion not allowed, there are 5 ways to select the first digit. For each of those ways, since you don't allow repetition, there are only 4 ways to select the second digit, and then 3 ways to select the 3rd digit. The 4th digit is now even, so we again have 5 ways, and the last is only 4 ways: John My calculator said it, I believe it, that settles it

Problems-with-consecutive-odd-even-integers/470474: consider three consecutive positive intergers if the third number is subtracted from the sum of the first two numbers the differance is 10. 1 solutions Answer 322693 by solver91311(16868)   on 2011-07-14 18:54:49 (Show Source): You can put this solution on YOUR website! I cannot "consider three consecutive positive intergers" no matter what their relationship. There is no such thing as an interger. If you meant "consider three consecutive positive integers" then that is different. Ok, I've considered them. Now what? John My calculator said it, I believe it, that settles it

absolute-value/470469: how do i solve this problem |3(y+4)|=12 1 solutions Answer 322690 by solver91311(16868)   on 2011-07-14 18:45:57 (Show Source): You can put this solution on YOUR website! I don't know how you would solve the problem. I can show you how I solve it. Then you can decide for yourself whether that is the method you will use. First recall the definition of absolute value: That means we can say that means that or Now all that is left is to solve the two ordinary equations to get the two elements of the solution set. John My calculator said it, I believe it, that settles it

Equations/470473: This is a story problem. I must have 2 equations so I can do the substitution method to solve. The problem is: A cruise boat travels 60 miles downstream in 2 hours and returns to its starting point upstream in 6 hours. Find the speed of the stream. If you could show me how to solve this using the 2 equations and the d=r.t formula. Thanks! 1 solutions Answer 322687 by solver91311(16868)   on 2011-07-14 18:31:13 (Show Source): You can put this solution on YOUR website! Let represent the distance for either of the trips which we know to be 60 miles. Let represent the rate of the boat in still water. Let represent the rate of the current. Let represent the time for the downstream trip which we know to be 2 hours. And let represent the time for the upstream trip which we know to be 6 hours. When the boat is going downstream, the rate of the boat relative to the stationary bank of the river is the rate of the boat in still water PLUS the rate of the current. Conversely, going upstream the rate of the boat relative to the bank is the rate in still water MINUS the rate of the current. We can describe the downstream trip thus: and the upstream trip: Now plug in the known values: A little manipulation: Solve the first equation for in terms of Substitute the RHS expression in place of in the second equation. All that is left is to solve for John My calculator said it, I believe it, that settles it

Conjunction/470468: construct a truth table for ~q ^ ~ p 1 solutions Answer 322684 by solver91311(16868)   on 2011-07-14 18:13:20 (Show Source): You can put this solution on YOUR website! John My calculator said it, I believe it, that settles it

Travel_Word_Problems/470452: if peter received grades of 88, 83, 75,and 80 on four tests in English, what is the minimum grade he has to score on the fifth test to have an average of at least 85 for the course? 1 solutions Answer 322681 by solver91311(16868)   on 2011-07-14 18:01:17 (Show Source): You can put this solution on YOUR website! In order to have an average of 85 on five tests, the sum of the scores of the five tests has to be . John My calculator said it, I believe it, that settles it

test/470462: List the coefficients of the given polynomial: -x3 – 4x2 + 3x – 6 a. -1, -4, 3, -6 b. -4, 3, -6 c. -1, -4, 3 d. 3, 2, 1 1 solutions Answer 322680 by solver91311(16868)   on 2011-07-14 17:54:11 (Show Source): You can put this solution on YOUR website! Re-write your polynomial with all of the "understood" parts put back in: Now the answer should be obvious. John My calculator said it, I believe it, that settles it

Triangles/470461: if on corner of the triangle is 90 degrees and the other is 30 the what is the other 1 solutions Answer 322678 by solver91311(16868)   on 2011-07-14 17:49:17 (Show Source): You can put this solution on YOUR website! The sum of the measures of the interior angles of any triangle is 180 degrees. John My calculator said it, I believe it, that settles it

Probability-and-statistics/470456: If P(A)=2/5, compute the odds in favor of A resulting from a single trial of an experiment. 1 solutions Answer 322676 by solver91311(16868)   on 2011-07-14 17:41:54 (Show Source): You can put this solution on YOUR website! Probability: The number of desireable outcomes divided by the total number of outcomes. Odds: The number of desireable outcomes divided by the number of undesireable outcomes. The numerator of the odds fraction is equal to the numerator of the probability fraction. The denominator of the odds fraction is the denominator of the probability fraction MINUS the numerator of the probability fraction. Hence, if the probability is , the odds fraction is , also expressed as or to . John My calculator said it, I believe it, that settles it

Travel_Word_Problems/470411: One kind of bug can eat a leaf in 7 minutes. Another kind can eat the same leaf in 22 minutes. How long will it take if the bugs both eat the same leaf at the same time? 1 solutions Answer 322646 by solver91311(16868)   on 2011-07-14 15:05:27 (Show Source): You can put this solution on YOUR website! If A can do a job in x time periods, then A can do of the job in 1 time period. Likewise, if B can do the same job in y time periods, then B can do of the job in 1 time period. So, working together, they can do of the job in 1 time period. Therefore, they can do the whole job in: time periods. John My calculator said it, I believe it, that settles it

Exponential-and-logarithmic-functions/470410: Determine whether the given ordered pair is a solution of the system. (5, -3) 4x + y = 17 3x + 4y = 3 1 solutions Answer 322644 by solver91311(16868)   on 2011-07-14 15:02:46 (Show Source): You can put this solution on YOUR website! Substitute the first number in your ordered pair in place of in the first equation. Substitute the second number of the ordered pair for in your first equation. Do the indicated arithmetic. Repeat the process for the second equation. If the result is a true statment IN BOTH CASES, then the ordered pair is an element of the solution set of the system. Otherwise not. John My calculator said it, I believe it, that settles it

Equations/470350: 6.2 1.If a fair quarter is flipped 3 times, what is the probability of getting exactly three heads? Round your answer to the nearest thousandths. 2.For a binomial experiment, how many outcomes are possible for each trial? b. 3 c. 1 d. 2 3. What does the random variable (r) for a binomial experiment of n trials represent? The total number of chances b. Can not be determined from information given. c. The number of failures d. The number of success 1 solutions Answer 322619 by solver91311(16868)   on 2011-07-14 13:42:50 (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 So: You can do your own arithmetic. Hint: Hint: John My calculator said it, I believe it, that settles it