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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(16872)   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(16872)   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(16872)   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(16872)   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 …} as arithmetic or geometric. Then find the common difference or ratio as appropriate. Identify the sequence {-5, -2, 1, 4 …} 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(16872)   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(16872)   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 year 1 solutions Answer 397845 by solver91311(16872)   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 Thanks 1 solutions Answer 397844 by solver91311(16872)   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(16872)   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: 9682.56 1 solutions Answer 397672 by solver91311(16872)   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(16872)   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(16872)   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

Exponential-and-logarithmic-functions/631537: Please change each of the following to exact rectangular form. Show all work. Thanks! a. -7, pi/2 b. 6e^i(3pi/4) c. 4, -120 degrees 1 solutions Answer 397659 by solver91311(16872)   on 2012-07-24 18:02:32 (Show Source): You can put this solution on YOUR website! John My calculator said it, I believe it, that settles it

Surface-area/631540: if the radius of a circular lot is 5 meters, how long should the edge of the square lot be? 1 solutions Answer 397658 by solver91311(16872)   on 2012-07-24 17:59:47 (Show Source): You can put this solution on YOUR website! No idea. It could be anything since you didn't trouble yourself to specify a relationship of any sort between the circle and the square. Re-post presenting the ENTIRE problem. John My calculator said it, I believe it, that settles it

Graphs/631555: T-chart for: y=2x^2-1 1 solutions Answer 397657 by solver91311(16872)   on 2012-07-24 17:56:55 (Show Source): You can put this solution on YOUR website! Making a T chart is nothing more than picking some numbers, inserting them into your function, and doing the arithmetic to discover the function value that corresponds to the chosen input value. You can pick your own numbers and you can do your own arithmetic. John My calculator said it, I believe it, that settles it

Travel_Word_Problems/631557: If Joe boards a train in LA traveling 65 mph and Jane boards one in NY traveling 50 mph, distance is 2,778 miles, when will they intersect? 1 solutions Answer 397656 by solver91311(16872)   on 2012-07-24 17:54:57 (Show Source): You can put this solution on YOUR website! Divide the distance by the sum of the speeds. John My calculator said it, I believe it, that settles it

Geometric_formulas/631510: A person deposited $500 in a saving account that pays 5% annual interest that is compounded yearly. At the end of ten years, how much money will be in the saving account? specify whether it involves an arithmetic sequence or a geometric sequence. 1 solutions Answer 397649 by solver91311(16872)   on 2012-07-24 17:16:56 (Show Source): You can put this solution on YOUR website! For annual compounding: Where is the future value, is the present value, is the interest rate percentage, and is the number of years. Geometric. John My calculator said it, I believe it, that settles it

Polynomials-and-rational-expressions/631426: factor x four squared minus x 3 squared minus 12 x 3 squared 1 solutions Answer 397626 by solver91311(16872)   on 2012-07-24 15:33:34 (Show Source): You can put this solution on YOUR website! Sorry, the way you have written your problemm makes no sense. Re-post using ^ to indicate raising to a power, that is x^2 means and x^3 means , and so on. And when I say "re-post" I mean re-post on the site. Don't write back to me because I may not have time to get to you. John My calculator said it, I believe it, that settles it

Polynomials-and-rational-expressions/631404: factor 2x^3 - 50x 1 solutions Answer 397544 by solver91311(16872)   on 2012-07-24 11:22:55 (Show Source): You can put this solution on YOUR website! Factor out leaving you with a difference of two squares binomial that factors to a conjugate pair of linear binomials. John My calculator said it, I believe it, that settles it

test/631405: multiply (x + 2) (2x^2 - 2x -3) 1 solutions Answer 397542 by solver91311(16872)   on 2012-07-24 11:21:25 (Show Source): You can put this solution on YOUR website! Extend the idea of the FOIL process for multiplying two binomials. In the end, ensure that each of the terms of the binomial factor have been multiplied by each of the terms of the trinomial factor once and once only per pair of terms. You should have 6 terms before you collect like terms. John My calculator said it, I believe it, that settles it

Graphs/631406: 2x - 3y = -12 plotting at least three points 1 solutions Answer 397541 by solver91311(16872)   on 2012-07-24 11:19:03 (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. Repeat steps 1 through 4 with yet a different value for x. Step 7. Draw a line across your graph that passes through the three points that you plotted. John My calculator said it, I believe it, that settles it

Quadratic_Equations/631402: if the equation (k2-3k+2)x2+(k2-5k+4)x+(k2-6k+5)=0 is an identity then the value of k is ? 1 solutions Answer 397539 by solver91311(16872)   on 2012-07-24 11:15:40 (Show Source): You can put this solution on YOUR website! If then . So set , , and , and solve each. The three quadratics will have a common zero and this is your value of John My calculator said it, I believe it, that settles it

Exponents/631292: i need help with this division probmel i might have missed a step.. 2x-3 divided by 6x^3-5x^2+2x-12 i divided 2x-3 and got 3x^2 multiplied the -3&3x^2 got 9x^2 changed the signs of the bottom ones and subtracted 6x^3-5x^2 -6x^3+9x^2 ___________ 4x^2+2x 4x^2+6x _____________ 6 what did i do wrong 1 solutions Answer 397486 by solver91311(16872)   on 2012-07-24 00:33:54 (Show Source): You can put this solution on YOUR website! Error 1: Error 2: You don't change the signs and subtract, you subtract, which means you change the sign and add. Although you did end up with , clearly by fortuitous accident. Error 3: Then You finish. John My calculator said it, I believe it, that settles it

Permutations/631248: ICE CREAM TRIPLE SCOOPER A true triple – scooper of ice cream is three scoops, each of different flavours, served in a dish. How many different triples could you get at ice castles if ice castles serve 31 different flavours of ice cream? 1 solutions Answer 397485 by solver91311(16872)   on 2012-07-24 00:18:19 (Show Source): You can put this solution on YOUR website! The number of combinations of 31 things take 3 at a time: is the number of combinations of things taken at a time and is calculated by Plug in the numbers and do the arithmetic. Note: This only works because of the requirement that the flavors be different. If duplication of flavors were allowed, then the considerably larger number of possibilities would be calculated by John My calculator said it, I believe it, that settles it

logarithm/631287: proof that log10 =1 1 solutions Answer 397484 by solver91311(16872)   on 2012-07-24 00:05:19 (Show Source): You can put this solution on YOUR website! Definition of the logarithm function: Plug in the numbers: John My calculator said it, I believe it, that settles it

test/631256: A money lender lends money collecting 5 paise for every Rupee per month. Find the rate of interest? 1 solutions Answer 397483 by solver91311(16872)   on 2012-07-24 00:00:08 (Show Source): You can put this solution on YOUR website! How many paise in a Rupee? John My calculator said it, I believe it, that settles it

Surface-area/631282: How much fabric will I need to cover a 4x4" block? 1 solutions Answer 397482 by solver91311(16872)   on 2012-07-23 23:38:33 (Show Source): You can put this solution on YOUR website! 4" by 4" by x. A rectangular solid has 6 sides. This one has 2 sides that are 4 by 4, each of which has an area of 16 square inches, so 2 times 16 is 32. Then the other 4 sides are 4 by x, each of which is 4x square inches so these 4 sides total 16x square inches. Once you figure out how much x is, then plug it in to 16x, and then add the result to 32. John My calculator said it, I believe it, that settles it

Money_Word_Problems/631276: A college student earned $6,300 during summer vacation working as a waiter in a popular restaurant. The student invested part of the money at 8% and the rest at 7%. If the student received a total of $479 in interest at the end of the year, how much was invested at 8%? 1 solutions Answer 397481 by solver91311(16872)   on 2012-07-23 23:33:48 (Show Source): You can put this solution on YOUR website! If monetary units are invested, one part at percent interest and the rest at percent interest for one year and monetary units are received in interest overall at the end of the year, then if monetary units is the amount invested at , then the following relationship holds: Plug in your numbers and solve for John My calculator said it, I believe it, that settles it

Linear-equations/631277: How do i find an equation of each line with the given slope that passes through the given point and Write the equation in the form. Ax+ By= C m= - 2/9; (2,5) 1 solutions Answer 397479 by solver91311(16872)   on 2012-07-23 23:23:28 (Show Source): You can put this solution on YOUR website! 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. Then do the arithmetic and rearrange to get to the form. John My calculator said it, I believe it, that settles it

Inverses/631250: how do i do factors 1 solutions Answer 397477 by solver91311(16872)   on 2012-07-23 23:19:58 (Show Source): You can put this solution on YOUR website! Find those numbers or expressions that when multiplied together equal the number or expression that you are trying to factor. Next time ask a specific question. I suggest you go to the page where you enter your questions and actually read the instructions for posting. Especially read the examples of good and bad questions. You should be able to see the striking similarity between your question and the example of a bad question. John My calculator said it, I believe it, that settles it

Functions/631264: Please help me to find the following functions. Let f(x)=x=4 and g(x) =x^2+8x-3 a. (f+g)(x) B.(f-g)(x) c. (fg)(x) d. f o g Thanks 1 solutions Answer 397475 by solver91311(16872)   on 2012-07-23 23:11:46 (Show Source): You can put this solution on YOUR website! What does mean? Did you miss the shift key when you meant to type or did you hit one key to the left when you meant to type ? Don't write back to me to tell me what you meant because you may not get a timely answer. Re-post, AND CHECK YOUR WORK. John My calculator said it, I believe it, that settles it