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# Recent problems solved by 'solver91311'

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 Triangles/454487: The sides of a triangle have lengths of 9, 11, and16. What is the perimeter of a similar triangle whose longest side is 24?1 solutions Answer 312064 by solver91311(16897)   on 2011-05-26 16:44:45 (Show Source): You can put this solution on YOUR website! Divide 16 by 24. Multiply the result by 9 to get the shortest side of the larger triangle. Multiply the result of the first calculation by 11 to get the middle-sized side of the larger triangle. Add the measures of the sides of the larger triangle to get the perimeter. John My calculator said it, I believe it, that settles it
 Trigonometry-basics/454486: Please solve the equation: sec theta- tan theta=0 for 01 solutions Answer 312060 by solver91311(16897)   on 2011-05-26 16:40:29 (Show Source): You can put this solution on YOUR website! Recall that secant is one over cosine and tangent is sine over cosine, so your problem becomes: Which is to say: Multiply by Check the unit circle, recalling that the sin value is the -coordinate to see that: But recall that you can go around the circle as many times as you like since you didn't provide a range for the answer and that once around is : where John My calculator said it, I believe it, that settles it
 Probability-and-statistics/454416: Compute: 6!/2! (factorial)1 solutions Answer 312028 by solver91311(16897)   on 2011-05-26 12:55:50 (Show Source): You can put this solution on YOUR website! You should be able to do your own arithmetic. John My calculator said it, I believe it, that settles it
 Probability-and-statistics/454400: An integer from 1 to 10 is randomly selected by a computer. At the same time. You choose an integer from 1 to 10. What is the probability that the two numbers will be the same?1 solutions Answer 312027 by solver91311(16897)   on 2011-05-26 12:45:13 (Show Source): You can put this solution on YOUR website! Once the computer has selected a number, you have a 1 in 10 chance of matching it. Or once you have selected a number, the computer has a 1 in 10 chance of matching. Either way the probability the two numbers will be the same is John My calculator said it, I believe it, that settles it
 Graphs/454405: if the point (k;-5)lies on the line 2x+ 4y=8 , find k1 solutions Answer 312026 by solver91311(16897)   on 2011-05-26 12:34:13 (Show Source): You can put this solution on YOUR website! Replace with -5. Solve the resulting single variable linear equation for . That will be the value of John My calculator said it, I believe it, that settles it
 Graphs/454401: How do i graph the equation x+5y=20 1 solutions Answer 312023 by solver91311(16897)   on 2011-05-26 12:26:59 (Show Source): You can put this solution on YOUR website! Step 1. Pick a value for x. It can be anything you like, but 0, 1, or some other small integer usually works well and makes the arithmetic easier. (For this problem, given that the coefficient on y is 5, a multiple of 5 would be a good choice) Step 2. Substitute that value in place of x in your equation. Do the arithmetic and determine the value of y that results. Step 3. Take the value of x that you selected for step 1 and the value of y that you calculated in step 2 and form an ordered pair (x,y). Step 4. Plot the ordered pair from Step 3 on your graph. Remember that the x value is the distance right(+) or left(-) along the horizontal axis and the y value is the distance up(+) or down(-) along the vertical axis. Step 5. Repeat steps 1 through 4 with a different value for x. Step 6. Draw a line across your graph that passes through the two points that you plotted. John My calculator said it, I believe it, that settles it
 Linear-equations/454371: Evaluate the expression 5-3 and write your answer as a fraction in simplest form. 1 solutions Answer 312020 by solver91311(16897)   on 2011-05-26 12:21:45 (Show Source): You can put this solution on YOUR website! You're kidding, right? You actually got on an Algebra website to ask for help subtracting 3 from 5? John My calculator said it, I believe it, that settles it
 Evaluation_Word_Problems/454364: I need to find a weight that will keep a body mass index between 18 and 33, the man is 76 inches tall1 solutions Answer 312010 by solver91311(16897)   on 2011-05-26 11:58:12 (Show Source): You can put this solution on YOUR website! You have to share the BMI formula that you are using. John My calculator said it, I believe it, that settles it
 Inequalities/454391: Solve the inequality 3y < 301 solutions Answer 312008 by solver91311(16897)   on 2011-05-26 11:56:59 (Show Source): You can put this solution on YOUR website! Multiply both sides by . John My calculator said it, I believe it, that settles it
 Linear-equations/454390: the graph of y-4= 1/4 (x+3) contains which point? 1 solutions Answer 312006 by solver91311(16897)   on 2011-05-26 11:55:22 (Show Source): You can put this solution on YOUR website! I presume you were given several choices of ordered pairs that you didn't bother to share with us. Take each of your points, one at a time. Take the first value in the ordered pair and replace with that value. Take the second value in the ordered pair and replace with that value. Do the indicated arithmetic. If the result is a true statement, the point is on the line. If the result is a false statement, the point is NOT on the line. John My calculator said it, I believe it, that settles it
 Equations/454369: Write an equation of the line containing the given point and parallel to the given line. Express your answer in the form y=mx+b (-6,7); 2x=9y+81 solutions Answer 312002 by solver91311(16897)   on 2011-05-26 11:50:11 (Show Source): You can put this solution on YOUR website! Your given equation has x and y on opposite sides of the equals sign, so the slope is simply the coefficient on x divided by the coefficient on y. Parallel lines have identical slopes. So the slope of the line you are trying to find is the same as the slope of the line that is the graph of the given equation. Using the information of a given point and a given slope, use the point-slope form of an equation of a line: where are the coordinates of the given point and is the given/calculated slope. Once you have inserted the values and done the indicated arithmetic, including distributing the slope value across the parenthetical binomial in the RHS, add the value of to both sides to complete the transformation to the slope-intercept form. John My calculator said it, I believe it, that settles it
 Rectangles/454370: 4x-3 and 10x+7 Find the expression that represents its perimeter. Simplify your answer1 solutions Answer 311998 by solver91311(16897)   on 2011-05-26 11:44:35 (Show Source): You can put this solution on YOUR website! Perimeter is 2 times the length plus 2 times the width. John My calculator said it, I believe it, that settles it
 test/454375: Evaluate the expression b3·b4 when b=2. 1 solutions Answer 311997 by solver91311(16897)   on 2011-05-26 11:43:42 (Show Source): You can put this solution on YOUR website! Replace every instance of b with 2 and then do the indicated arithmetic. John My calculator said it, I believe it, that settles it
 Sequences-and-series/454384: Which equation represents the formula for the general term an, of an arithmetic sequence with a first term of 8 and a common difference of 0.3?1 solutions Answer 311996 by solver91311(16897)   on 2011-05-26 11:42:42 (Show Source): You can put this solution on YOUR website! John My calculator said it, I believe it, that settles it
 Equations/454389: 6√a^4 Please help me solve. Thanks Gina1 solutions Answer 311995 by solver91311(16897)   on 2011-05-26 11:41:45 (Show Source): You can put this solution on YOUR website! You can't 'solve' something unless there is a relational operator involved, either and equals sign or an inequality sign. You can simplify, but that is not what you asked. Write back if that is really what you want. John My calculator said it, I believe it, that settles it
 Word_Problems_With_Coins/454388: Mrs. Sanders had 80 coins. Some of them were $1 coins, rest were 50 cent coins. The total amount is$50. How many coins of each kind were there? Thank you!!! 1 solutions Answer 311993 by solver91311(16897)   on 2011-05-26 11:39:50 (Show Source): You can put this solution on YOUR website! Solve the system by substitution. John My calculator said it, I believe it, that settles it
 logarithm/454385: Solve the equation & check your answer(s): ln(2-2x)=ln(x+5)+ln(x+4)1 solutions Answer 311991 by solver91311(16897)   on 2011-05-26 11:36:47 (Show Source): You can put this solution on YOUR website! The sum of the logs is the log of the product: Then Hence So Just solve for . Exclude any root that would make the argument of any of the original logarithm functions less than or equal to zero. John My calculator said it, I believe it, that settles it
 Rate-of-work-word-problems/454135: one pump can fill a tank in 12 minutes while another takes 16 minutes to empty the same tank. How long would it take to fill the tank if both pumps were on?1 solutions Answer 311893 by solver91311(16897)   on 2011-05-25 18:49:48 (Show Source): You can put this solution on YOUR website! If you can fill a tank in 12 minutes, then you can fill of the tank in 1 minute. If you can empty a tank in 16 minutes, then you can empty of the tank in 1 minute. If both are working together, then fills in 1 minute. Apply the LCD, add the two fractions, and then take the reciprocal to find the time to fill with both pumps going. John My calculator said it, I believe it, that settles it
 Quadratic_Equations/454123: How do I write a quadratic equation with -6,-4 as solutions? 1 solutions Answer 311891 by solver91311(16897)   on 2011-05-25 18:45:10 (Show Source): You can put this solution on YOUR website! If then Also, if , then So then Just FOIL the two binomials. John My calculator said it, I believe it, that settles it
 test/454098: What are all the factors of 1260!! Please help1 solutions Answer 311873 by solver91311(16897)   on 2011-05-25 17:44:21 (Show Source): You can put this solution on YOUR website! I'll show you how to get all of the prime factors, and then you can calculate all of the composites that you care to. The last digit of 1260 is even, so it is divisible by 2: 630 The last digit of 630 is even, so it is divisible by 2: 315 The last digit of 315 is odd, so not divisible by 2. The sum of the digits of 315 is 9. 9 is divisible by 3, so 315 is divisible by 3: 105 The sum of the digits of 105 is 6. 6 is divisible by 3, so 105 is divisible by 3: 35 35 is divisible by 5: 7 The prime factorization: John My calculator said it, I believe it, that settles it
 Functions/454019: find f(-3) when f(x)=x squared+3x-41 solutions Answer 311830 by solver91311(16897)   on 2011-05-25 13:59:39 (Show Source): You can put this solution on YOUR website! Just substitute -3 for x in the function and do the arithmetic. John My calculator said it, I believe it, that settles it
 absolute-value/454017: I need help and I am not sure if this is even the right section! They want us to find f(-3) When f(x)=x to the second power plus 3x-4 I am so confused I think I am supposed to plug -3 into the equation were the x value is just wanted to compare what I got to someone else.1 solutions Answer 311828 by solver91311(16897)   on 2011-05-25 13:58:37 (Show Source): You can put this solution on YOUR website! That's right -- that is exactly what you do. You do your arithmetic and tell me what you got. I'll let you know if you got it right. John My calculator said it, I believe it, that settles it
 Rational-functions/454009: I need to create a rational function with the following: Crosses x-axis at 2 Touches the x-axis at -1 One verticle asymptote at x=-5 and another at x=6 One horizontal asymptote at y=3 help! i need to know the steps1 solutions Answer 311823 by solver91311(16897)   on 2011-05-25 13:49:38 (Show Source): You can put this solution on YOUR website! If your function crosses the -axis at 2, then the numerator polynomial must have a zero at 2. Hence, one factor of the numerator is If your function just touches the -axis at -1, then the numerator polynomial must have a zero at -1 with a multiplicity of 2. Hence, another factor of the numerator is If the function must have a vertical asymptote at -5, then the denominator polynomial must have a zero at -5. Hence a factor of the denominator must be . Likewise, for a vertical asymptote at 6, the denominator must have a factor of . In order for there to be a horizontal asymptote other than the -axis, the degree of the numerator and denominator polynomials must be the same and the ratio of the lead coefficients must be equal to the value of the -coordinate of the ordered pairs in the asymptote. In order to accomplish equal degree, we need to double up on one of the factors in the denominator. I choose the , hence the first factor fo the denominator becomes In order for there to be a 3 to 1 ratio between the lead coefficients on the numerator and denominator such that the horizontal asymptote occurs at , insert a factor of 3 into the numerator. Putting it all together: You can multiply the factors yourself if that is the form of the answer you are required to submit. John My calculator said it, I believe it, that settles it
 logarithm/453996: How do you solve this? log3(x+6) - log3 x = 5 Find the value of x. 1 solutions Answer 311821 by solver91311(16897)   on 2011-05-25 13:08:34 (Show Source): You can put this solution on YOUR website! The difference of the logs is the log of the quotient: Use the definition of logarithms: to write Solve for John My calculator said it, I believe it, that settles it
 Evaluation_Word_Problems/453990: Which of the following relationships is an inverse variation? answer choices: a) x: 2,3,4,6,8,16 y: 72,48,36,24,18,9 b) x: 2,3,4,6,8,16 y: 4,6,8,12,16,32 c) x: 2,3,4,6,8,16 y: 6,9,12,18,24,48 d) x: 2,3,4,6,8,16 y: 7,8,9,11,13,211 solutions Answer 311820 by solver91311(16897)   on 2011-05-25 12:59:29 (Show Source): You can put this solution on YOUR website! If one number gets larger when the other number gets larger, it is not an inverse relationship. John My calculator said it, I believe it, that settles it
 Evaluation_Word_Problems/454007: Use first and second differences to identify the next three terms in the following sequence: 12, 25, 44, 69, 100, 137, 180,... answers: a) 180, 229, 284 b) 180, 274, 335 c) 229, 284, 345 d) 229, 345, 412 1 solutions Answer 311818 by solver91311(16897)   on 2011-05-25 12:58:08 (Show Source): You can put this solution on YOUR website! First differences: 13, 19, 25, 31, 37, 43 Second differences: 6, 6, 6, 6, 6 Since the second differences are all equal, the series can be modeled with a 2nd degree polynomial. Consider the 2nd degree (quadratic) polynomial equation: Where is the ordinal of the term and is the value of the term. The value of the 1st term is , therefore: which is to say: Similarly, using the 2nd and 3rd terms we can derive: and Solve the 3 by 3 system of linear equations using any desired method (I use the MDETERM function and Cramer's Rule in Excel to solve anything more complex than a simple 2X2) to calculate the coefficients of your quadratic model for your sequence. Then substitute 8, 9, and 10 for in the model to develop the 8th, 9th, and 10th terms of the sequence. John My calculator said it, I believe it, that settles it
 Evaluation_Word_Problems/454003: Which of the following relationships is NOT an inverse variation? answers: a) x: 2,5,6,8,9 y: 180,72,60,45,40 b) x: 2,3,5,6,8 y: 60,40,24,20,15 c) x: 2,3,5,6,8 y: 120,80,48,40,30 d) x: 2,5,6,8,9 y: 22,25,26,28,291 solutions Answer 311816 by solver91311(16897)   on 2011-05-25 12:56:35 (Show Source): You can put this solution on YOUR website! In an inverse relation, when one number gets larger, the other gets smaller. John My calculator said it, I believe it, that settles it
 Evaluation_Word_Problems/453965: Use first and second differences to identify the next three terms in the following sequence: 12, 25, 44, 69, 100, 137, 180,... answers: a) 180, 229, 284 b) 180, 274, 335 c) 229, 284, 345 d) 229, 345, 4121 solutions Answer 311814 by solver91311(16897)   on 2011-05-25 12:52:14 (Show Source): You can put this solution on YOUR website! First differences: 13, 19, 25, 31, 37, 43 Second differences: 6, 6, 6, 6, 6 Since the second differences are all equal, the series can be modeled with a 2nd degree polynomial. Consider the 2nd degree (quadratic) polynomial equation: Where is the ordinal of the term and is the value of the term. The value of the 1st term is , therefore: which is to say: Similarly, using the 2nd and 3rd terms we can derive: and Solve the 3 by 3 system of linear equations using any desired method (I use the MDETERM function and Cramer's Rule in Excel to solve anything more complex than a simple 2X2) to calculate the coefficients of your quadratic model for your sequence. Then substitute 8, 9, and 10 for in the model to develop the 8th, 9th, and 10th terms of the sequence. John My calculator said it, I believe it, that settles it
 Evaluation_Word_Problems/453978: Identify a function that is linear. answer choices: a) f(x) = 5x − 9 b) f(x) = 2x^2 + 3 c) f(x) = -4/(x+1) d) f(x) = (x^5) − 91 solutions Answer 311800 by solver91311(16897)   on 2011-05-25 11:45:59 (Show Source): You can put this solution on YOUR website! Anything that has a variable raised to a power or has a variable in a denominator is non-linear. John My calculator said it, I believe it, that settles it
 Graphs/453970: A student has an average of 72 on four exams. If the final exam is to count double, what score does she need to have an averge of 80?1 solutions Answer 311799 by solver91311(16897)   on 2011-05-25 11:44:02 (Show Source): You can put this solution on YOUR website! If his current average is 72 for 4 exams, then his total points have to be 4 times 72. If his final average for 4 exams plus a final that counts for 2 exams must be 80, then his final point total must be 6 times 80. Subtract his current point total from his needed final total giving you the points he needs to achieve. Since the final counts as 2, this number will be 2 times the score he needs on the final. John My calculator said it, I believe it, that settles it
 Evaluation_Word_Problems/453961: Identify the 9th term in the geometric sequence. 972, 324, 108, 36,... answers: a) 1/27 b) 4/27 c) 1/81 d) 4/81 1 solutions Answer 311797 by solver91311(16897)   on 2011-05-25 11:38:37 (Show Source): You can put this solution on YOUR website! So for the 9th term, replace with 9: The rest is just calculator arithmetic. Hint: Your calculator is going to give you a repeating decimal for an answer. Multiply the calculator result by 3, then do it again, and continue until the calculator gives you a whole number. That is the numerator of your fractional answer. 3 raised to the power of the number of times you multiplied by 3 is the denominator. John My calculator said it, I believe it, that settles it