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# Recent problems solved by 'solver91311'

solver91311 answered: 17056 problems
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 Miscellaneous_Word_Problems/632189: Yellows vary inversely as grays cubed. When there are 270 yellows, there are 2 grays. How many yellows are present when there are 6 grays? i got 810 and i was just wondering if it is correct1 solutions Answer 398123 by solver91311(17070)   on 2012-07-26 17:42:38 (Show Source): You can put this solution on YOUR website! Whenever two things are in inverse proportion, when one gets bigger, the other gets smaller -- a lot smaller in this case because yellows vary as the cube of the greys. So one would expect that if the number of greys got 3 times larger, then the number of yellows would get 3 cubed or 27 times smaller rather than 3 times larger. Make sense? Here's the algebra to back me up: If yellows greys, then: I'll leave it up to you to verify that Now we have a formula that we can use for specific cases: Plug in I'll leave the rest of the arithmetic to you. John My calculator said it, I believe it, that settles it
 test/632191: Can you help me with 2x^2+4=1 solutions Answer 398106 by solver91311(17070)   on 2012-07-26 16:56:13 (Show Source): You can put this solution on YOUR website! Help you do what with it? What goes in the RHS of your equation? John My calculator said it, I believe it, that settles it
 Linear-equations/632181: Graph the equation x=y. Does this line pass through the origin (0,0) of the x-y graph. True False 1 solutions Answer 398104 by solver91311(17070)   on 2012-07-26 16:55:04 (Show Source): You can put this solution on YOUR website! Substitute the coordinates of the given point into the given equation. If the result is a true statement, then the point is on the graph. Otherwise, not. John My calculator said it, I believe it, that settles it
 Quadratic_Equations/632201: Can someone please help me with the first five questions to ind of give me a start on how to dothis assignment....Pleas and thank you in advance. Suppose you are managing sales of tickets for a large concert venue. In order to anticipate staffing needs in the box office, you must gather information about projected ticket sales for an upcoming concert. The expected number of ticket sales for each day x is given by the following equation: tickets=-5x^2+18x+9 PROBLEM SHOW YOUR SOLUTIONS HERE 1. Does the graph of this equation open up or down? How do you know? 2. Describe what happens to the ticket sales as time passes. 3. Use the quadratic formula to determine the last day that tickets will be sold. Note: Write your answer in terms of the number of days after ticket sales begin. 4. Will ticket sales be at a peak or a low during the middle of the sale? How do you know? 5. After how many days will the peak or low (middle of the sale) occur? 6. How many tickets will be sold on the day when the peak or low (middle of the sale) occurs? 7. What is the point (ordered pair) of the vertex? How does this point relate to your answers to problems 5 and 6. 8. How many real solutions are there to the equation ? How do you know? 9. What do the solutions to the equation in #8 represent? Is there a solution that doesnt make sense? If so, in what ways does the solution not make sense? 1 solutions Answer 398101 by solver91311(17070)   on 2012-07-26 16:52:12 (Show Source): You can put this solution on YOUR website! It opens down because the lead coefficient is negative. Ticket sales start small, get larger, then get smaller Set the quadratic equal to zero. Use the quadratic formula to solve it. The integer part of the largest root is the last day of ticket sales. Divide the opposite of the coefficient on the first degree term by 2 times the lead coefficient to get the value of x where the peak occurs. Evaluate the function at the value of x determined above to find the number of tickets sold at the peak. The x-coordinate of the vertex is the day when the peak occurs. The y-coordinate of the vertex is the number of tickets sold that day. There are two solutions to the equation. I know because the value of the function at the vertex is positive and the parabola opens downward, therefore the graph must cross the x-axis in two places. I also know that there are two solutions because the lead coefficient and the constant coefficient have opposite signs and the quadratic is not a perfect square. The solutions represent the days when there will be zero ticket sales. The negative root makes no sense because you can't be selling tickets before you start selling tickets. John My calculator said it, I believe it, that settles it
 Linear_Equations_And_Systems_Word_Problems/632193: if nut a fits bolt b, bolt c does not fit nut a or b, nut d fits bolt b, bolt c and bolt d are the same but smaller than A. Will Nut D fit bolt A 1 solutions Answer 398098 by solver91311(17070)   on 2012-07-26 16:43:18 (Show Source): You can put this solution on YOUR website! There is no way to tell. You told us a great deal about the interrelationships between items a, b, c, and d, but you told us nothing about how D relates to anything else. D is not d, and A is not a. John My calculator said it, I believe it, that settles it
 Finance/632196: how can u pass ur cst for math 1 solutions Answer 398095 by solver91311(17070)   on 2012-07-26 16:36:11 (Show Source): You can put this solution on YOUR website! The very first thing is to learn to follow instructions. For example, go back and read the instruction for posting that describes the difference between a good question and a bad question, and then reflect on just how poorly constructed your question is. Also, get rid of the cutsey teeny-bopper texting abbreviations; show us a little respect by spelling out your messages and using complete, properly spelled, properly capitalized, and properly punctuated sentences arranged in logical sequence. John My calculator said it, I believe it, that settles it
 Linear-equations/632151: Using complete sentences, explain which method you would use to solve the following system of equations and why. In your answer, include the solution to one of the variables and how you found it using the method you chose. 2x + y + z = 7 x  3y + 4z = 14 x  2y  3z = 11 1 solutions Answer 398092 by solver91311(17070)   on 2012-07-26 16:31:10 (Show Source): You can put this solution on YOUR website! Gauss-Jordan was pretty clean on this one, while substitution was a little ugly. Regular elimination was reasonably tidy also. But my favorite, just because I can use the MDETERM function to get the determinant of a matrix that I have entered into Excel (this function is also available in the Numbers program on the Mac), is to use Cramer's rule. John My calculator said it, I believe it, that settles it
 Trigonometry-basics/632145: given cos(2a)=-17/18 and 0<2a Sin(a)= Cos(a)= tan(a)= Csc(a)= Sec(a)= Cot(a)=1 solutions Answer 398043 by solver91311(17070)   on 2012-07-26 13:23:19 (Show Source): You can put this solution on YOUR website! Same as question 632146 John My calculator said it, I believe it, that settles it
 Trigonometry-basics/632146: given cos(2a)=-17/18 and 0<2a< pi/2 find exact values of the six trigonometric functions. Note: you cannot us decimals in your answer1 solutions Answer 398040 by solver91311(17070)   on 2012-07-26 13:20:47 (Show Source): You can put this solution on YOUR website! First thing to note is that since , a simple division operation shows that , forcing to be a first quadrant angle, hence all six basic trigonometric functions will be positive. So Since we know that And then a little algebra music, Sammy: From which we discard the negative root because of the interval analysis earlier to get: And likewise: From which we get: Use the following identities to get the other four functions: John My calculator said it, I believe it, that settles it
 Numeric_Fractions/632143: Why is 3&3/4-2&1/2 =1&1/2? 1 solutions Answer 398036 by solver91311(17070)   on 2012-07-26 12:53:23 (Show Source): You can put this solution on YOUR website! Do you mean: ? If so, And whoever told you they were equal is sadly mistaken. John My calculator said it, I believe it, that settles it
 Trigonometry-basics/632141: if cos^2(3x)-sin^2(3x)= Cos(B), then B=?1 solutions Answer 398032 by solver91311(17070)   on 2012-07-26 12:45:04 (Show Source): You can put this solution on YOUR website! John My calculator said it, I believe it, that settles it
 Linear_Equations_And_Systems_Word_Problems/632130: Twice the square of the number. Find the number. Please answer. Need it really right now. Thanks. 1 solutions Answer 398031 by solver91311(17070)   on 2012-07-26 12:37:39 (Show Source): You can put this solution on YOUR website! A number: The square of a number: Twice the square of a number: Twenty times the same number: So: Solve for John My calculator said it, I believe it, that settles it
 Linear-equations/632122: Gina, Sam and Robby all rented movies from the same video store. They each rented some dramas, comedies and documentaries. Gina rented 11 movies total. Sam rented twice as many dramas, three times as many comedies, and twice as many documentaries as Gina. He rented 27 movies total. If Robby rented 19 movies total with the same number of dramas, twice as many comedies, and twice as many documentaries as Gina, how many movies of each type did Gina rent? please show work1 solutions Answer 398018 by solver91311(17070)   on 2012-07-26 11:55:17 (Show Source): You can put this solution on YOUR website! Let represent the number of dramas Gina rented, the number of comedies Gina rented, and the number of documentaries that Gina rented, then: Solve the 3X3 system. John My calculator said it, I believe it, that settles it
 Probability-and-statistics/631953: Assume that the population of heights of male college students is approximately normally distributed with mean m of 69.09 inches and standard deviation s of 4.71 inches. A random sample of 92 heights is obtained. Show all work. (A) Find (B) Find the mean and standard error of the distribution (C) Find (D) Why is the formula required to solve (A) different than (C)?1 solutions Answer 397922 by solver91311(17070)   on 2012-07-25 20:18:41 (Show Source): You can put this solution on YOUR website! The formula to "Find" is exactly the same as the formula to "Find" It is when you indicate something specific to find that differences arise. John My calculator said it, I believe it, that settles it
 Points-lines-and-rays/631858: slope of a line perpendicular to (2,4) (-1,0) is?1 solutions Answer 397920 by solver91311(17070)   on 2012-07-25 20:10:26 (Show Source): You can put this solution on YOUR website! A line cannot be perpendicular to two points. It can be perpendicular to the segment joining two points or to the line or line segment that passes through the two points. First find the slope of the line that passes through the two points using the slope formula: where and are the coordinates of the given points. Then calculate the negative reciprocal, , to find the slope of a perpendicular. John My calculator said it, I believe it, that settles it
 Linear-equations/631904: How do you do questions like these - slope=2,y-int=3 . thank you very much1 solutions Answer 397882 by solver91311(17070)   on 2012-07-25 16:35:12 (Show Source): You can put this solution on YOUR website! You gave a couple of parameters for a straight line, but you didn't ask a question. Re-post, asking the question and spelling everything out. John My calculator said it, I believe it, that settles it
 Functions/631903: The cost and revenue functions for selling a specialty item are: R(x) = 50x  0.5 x2 C(x) = 4x + 10x2 a) Write the equation of the profit function P(x). b) Sketch the three functions C(x), R(x) and P(x) on the same set of axis. c) Determine the number of specialty items which produce a maximum profit. d) Find the maximum profit. e) Indicate on the profit curve the interval over which profit is decreasing. 1 solutions Answer 397881 by solver91311(17070)   on 2012-07-25 16:33:19 (Show Source): You can put this solution on YOUR website! Profit is Revenue minus Cost, so: I'll lead the simplification and the graphing to you. The profit function is a parabola that opens down. The answer to part c is the value of the coordinate of the vertex, and the answer to d is the coordinate of the vertex. John My calculator said it, I believe it, that settles it
 Graphs/631828: How do i graph x+y=-11 solutions Answer 397880 by solver91311(17070)   on 2012-07-25 16:19:48 (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. 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
 Polynomials-and-rational-expressions/631887: 5x^4-20x^2=0 solve the polynomial equation by factoring and then using the zero product principle.1 solutions Answer 397878 by solver91311(17070)   on 2012-07-25 16:00:35 (Show Source): You can put this solution on YOUR website! Factor out leaving which is the easily factorable difference of two squares. John My calculator said it, I believe it, that settles it
 Sequences-and-series/631899: Suppose that a sequence is defined as follows. a[1] = -1 , a[n] = -3a[n-1]+6 for n ≥ 2 list the first terms of the sequence?1 solutions Answer 397876 by solver91311(17070)   on 2012-07-25 15:58:43 (Show Source): You can put this solution on YOUR website! Substitute 2 for and do the arithmetic to get the 2nd term. Substitute 3 for and do the arithmetic to get the 3rd term. Repeat as often as necessary to get the number of terms you want. John My calculator said it, I believe it, that settles it
 Probability-and-statistics/631878: The number of calls received by a car towing service in an hour has a passion disturbution with parameter 1.64. Find the probability that in a randomly selected hour the number of calls is between 2 and 4 inclusive.1 solutions Answer 397874 by solver91311(17070)   on 2012-07-25 15:56:41 (Show Source): You can put this solution on YOUR website! If you have a "passion disturbation" then you don't want a mathematics site, you need a romance novel site. Did you perhaps mean that the number of calls has a Poisson Distribution? John My calculator said it, I believe it, that settles it
 Quadratic_Equations/631890: Solve by Completing the Square: 2x^2 - 3x + 1 = 0 This problem is troubling me ! Thank you for your time and help !! I really appreciate it :) Please show work through steps so I have a thorough understanding. THank you so much ! 1 solutions Answer 397871 by solver91311(17070)   on 2012-07-25 15:53:28 (Show Source): You can put this solution on YOUR website! Multiply the equation by the reciprocal of the lead coefficient: Add the opposite of the constant term to both sides: Divide the coefficient on the first degree term by 2, square the result, then add that result to both sides of the equation: Factor the perfect square trinomial in the LHS Take the square root of both sides, remembering to consider both the positive and negative roots Simplify and specify both roots: John My calculator said it, I believe it, that settles it
 Square-cubic-other-roots/631888: Simplify : (√2-3)(√2+3) I got : -7-√2 Please show work through steps so I can understand this properly and know where I went wrong if I completed this incorrectly. Thank you for your time !! I realy appreciate it :) 1 solutions Answer 397862 by solver91311(17070)   on 2012-07-25 15:32:17 (Show Source): You can put this solution on YOUR website! You start with a conjugate pair of binomial expressions which always results in the difference of two squares; in general the pattern is: John My calculator said it, I believe it, that settles it
 Sequences-and-series/631823: can someone please help?! ive tried a bunch of times and cant find the answers!!! Identify the sequence {-2, 2, -2, 2 β¦} as arithmetic or geometric. Then find the common difference or ratio as appropriate. Identify the sequence {-5, -2, 1, 4 β¦} as arithmetic or geometric. Then find the common difference or ratio as appropriate. The third and sixth terms of a geometric sequence are -75 and -9375 respectively. Find the first term, the common ratio, and an explicit rule for the nth term. Determine whether the infinite series 1/64 + 1/32 + 1/16 + 1/8 + ..... is equal to a real number. If so, find the sum. 1 solutions Answer 397859 by solver91311(17070)   on 2012-07-25 15:28:07 (Show Source): You can put this solution on YOUR website! How many is a bunch? What are all of the things you have tried? John My calculator said it, I believe it, that settles it
 test/631869: Hi I need help with functions and graphs. The problem shows a line on a graph and the asks questions to the side like "If the value of x is 0 then what is the value of y?". I didn't really understand what it meant so can you please help me? Thank You!1 solutions Answer 397856 by solver91311(17070)   on 2012-07-25 15:16:13 (Show Source): You can put this solution on YOUR website! Find the number given for along the horizontal axis, then go up (or down) until you find the number on the vertical axis that the graph reaches for the given value of John My calculator said it, I believe it, that settles it
 Money_Word_Problems/631867: A retired couple has $190,000 to invest to obtain annual income. They want some of it invested is safe certificates of deposit yielding 5%. the rest they wanted to invest in aa bonds yielding 10% per year. how much should they invest in each to realize$16,000 per year1 solutions Answer 397845 by solver91311(17070)   on 2012-07-25 14:54:18 (Show Source): You can put this solution on YOUR website! Solve for , then calculate John My calculator said it, I believe it, that settles it
 Quadratic-relations-and-conic-sections/631803: Write an equation for an ellipse with x-intercepts (+2,0) and y-intercepts (0,+5) - - This line goes directly under the plus sign but i didnt know how to type that in please show all work Thanks1 solutions Answer 397844 by solver91311(17070)   on 2012-07-25 14:48:14 (Show Source): You can put this solution on YOUR website! Center is at , Semi-major axis measures 5, semi-minor axis measures 2, so Which reduces to: John My calculator said it, I believe it, that settles it
 Probability-and-statistics/631571: 1. the table shows claims and their probabilities for an insurance company. Amount of claim $0 ----- 0.60$50,0000 ----- 0.25 $100,000 ----- 0.09$150,000 ----- 0.04 $200,000 ----- 0.01$250,000 ----- 0.01 Calculate the expected cost per policy ( expected value). 2. YOU ARE DEALT ONE CARD FROM A 52 CARD DECK. THEN THE CARD IS REPLACED IN THE DECK,THE DECK IS SHUFFLED, AND YOU DRAW AGAIN. FIND THE PROBABILITY OF GETTING A PICTURE CARD THE FIRST TIME AND A CLUB THE SECOND TIME. 1 solutions Answer 397681 by solver91311(17070)   on 2012-07-24 19:42:10 (Show Source): You can put this solution on YOUR website! Just multiply the probability times the amount. John My calculator said it, I believe it, that settles it
 Square-cubic-other-roots/631354: HELLO, If anyone answer my questions i will be truly grateful Find the square root of: 640.09 Find the square root of: 9682.561 solutions Answer 397672 by solver91311(17070)   on 2012-07-24 19:11:35 (Show Source): You can put this solution on YOUR website! Use your calculator. John My calculator said it, I believe it, that settles it
 Travel_Word_Problems/631559: Rick and Hilary drive from positions 378 miles apart toward each other. They meet after 3 hours. Find the average speed of each if Hilary travels 30 miles per hour faster than Rick. 1 solutions Answer 397663 by solver91311(17070)   on 2012-07-24 18:12:18 (Show Source): You can put this solution on YOUR website! Hint: 378 divided by 3 is the sum of their speeds. John My calculator said it, I believe it, that settles it
 Geometry_Word_Problems/631558: The length of a rectangle is 5 more than the side of a square and the width is 1 more than the side of the square. If the area of the rectangle is 96, find the length of the side of the square.1 solutions Answer 397662 by solver91311(17070)   on 2012-07-24 18:10:17 (Show Source): You can put this solution on YOUR website! Let represent the measure of one side of the square. Then the length and width of the rectangle must be and . Since the area of a rectangle is given by length times width, Multiply the binomials, put the quadratic into standard form, factor, and solve for the positive root (the negative root is absurd in the context of the measure of the side of a square). John My calculator said it, I believe it, that settles it