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# Recent problems solved by 'solver91311'

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 Proportions/615903: a car travels 35 miles on each gallon if gas. how far will it travel on 6 gallons? 1 solutions Answer 387371 by solver91311(16897)   on 2012-05-29 16:48:47 (Show Source): You can put this solution on YOUR website! Let's see...it goes 35 miles on the first gallon, then another 35 miles on the second gallon, plus... See where this is going? John My calculator said it, I believe it, that settles it
 logarithm/615879: Solve 4^2t = 5^4t+4] I get -2.5803 but i think I did something wrong. 1 solutions Answer 387370 by solver91311(16897)   on 2012-05-29 16:47:16 (Show Source): You can put this solution on YOUR website! I have to presume you mean Because the only way I know to solve Is to find an approximate root by numerical methods. Be that as it may, your intuition is spot on. (order of magnitude difference) Take the log of both sides (any base, doesn't matter) Use to write: Multiply both sides by Just for neatness sake, let Then The rest is just calculator (or better, spreadsheet) work. John My calculator said it, I believe it, that settles it
 Linear-equations/615884: Find the slope of the line that passes through each pair of points (4,-4) and (3,-1)1 solutions Answer 387364 by solver91311(16897)   on 2012-05-29 16:01:31 (Show Source): You can put this solution on YOUR website! Use the slope formula where and are the coordinates of the given points. John My calculator said it, I believe it, that settles it
 Exponential-and-logarithmic-functions/615885: You buy a commemorative coin for $25. The value of the coin increases 3.25% per year. How much will the coin be worth in 15 years? Round to the nearest cent.1 solutions Answer 387362 by solver91311(16897) on 2012-05-29 15:59:59 (Show Source): You can put this solution on YOUR website! Use your calculator. Don't forget to round appropriately. John My calculator said it, I believe it, that settles it  Linear-equations/615883: FIND THE SLOPE OF THELINE THAT PASSES THROUGH EACH PAIR OF POINTS (-4,11) AND (5,2)1 solutions Answer 387359 by solver91311(16897) on 2012-05-29 15:56:15 (Show Source): You can put this solution on YOUR website! All caps is the equivalent of shouting. It is both rude and annoying. Stop it. Use the slope formula: where and are the coordinates of the given points. John My calculator said it, I believe it, that settles it  �t�e�s�t/615858: Solve each equation for the indicated variable: a) A=2pieRH for R B) y=8x+b for X1 solutions Answer 387357 by solver91311(16897) on 2012-05-29 15:54:28 (Show Source): You can put this solution on YOUR website! "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 irrational ratio between the circumference of a circle and the diameter of that same circle. Multiply both sides by John My calculator said it, I believe it, that settles it  Graphs/615872: graph the following y=3x-11 solutions Answer 387339 by solver91311(16897) on 2012-05-29 15:13:48 (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  Probability-and-statistics/615839: 1.A person selects a card from a standard deck. If the card is red, she must pay$1. If it is a black card between 2 and 10, she wins 50 cents. If is a black picture card, she wins $2. If it is a black ace she wins$5. What is the expected value of her gain or loss from the game?1 solutions Answer 387327 by solver91311(16897)   on 2012-05-29 13:46:15 (Show Source): You can put this solution on YOUR website! is the probability of a red card. Since half of the cards are red, . Red card outcome: is the probability of a black number card: There are 18 black cards numbered 2 through 9 out of 52 cards. . Black number outcome: is the probability of a black face card: There are 6 black face cards out of 52 cards. . Black face outcome: is the probability of a black ace: There are 2 black aces out of 52 cards. . Black ace outcome Multiply each probability by the associated outcome value, then add up the expected values of each outcome. Add 'em up. John My calculator said it, I believe it, that settles it
 Geometry_Word_Problems/615825: What is the area of a rgular octogon having an apothem of 6 and a side length of 5 meters?1 solutions Answer 387323 by solver91311(16897)   on 2012-05-29 13:29:17 (Show Source): You can put this solution on YOUR website! Step 1: Learn to spell octagon. Step 2: Go find the correct measurements of your octagon. A regular octagon with an apothem of 6 units has a side length of approximately 4.83 units. An octagon with an apothem of 6 units and one of the sides that measures 5 units is not regular. Once you know the correct values use where is the span of the octagon which is twice the apothem, and is the measure of one side. John My calculator said it, I believe it, that settles it
 Volume/615826: A cylindracial tank as a diameter of 4.2 meters and A height of 6 meters. What is the calculated volume tank in cubic meters?1 solutions Answer 387320 by solver91311(16897)   on 2012-05-29 13:03:48 (Show Source): You can put this solution on YOUR website! Divide the diameter of the base by 2 to get the radius of the base. Calculate the area of the base using . Multiply the area of the base by the height. Since all of the measurements are given in meters, the results of the calculation will be cubic meters. Whether you decide to leave the answer in terms of or not, round the numeric part of the answer to the nearest cubic meter because the least precise given measurement is to the nearest meter. Unless directed otherwise, never express the results of a calculation involving measurements to a greater precision than the least precise input measurement. John My calculator said it, I believe it, that settles it
 Equations/615821: if a rocket is propelled upward from ground level, its height in metters after t seconds is given by h(t)=-10t^2+70t. During what interval time will the rocket be higher than 70m?1 solutions Answer 387319 by solver91311(16897)   on 2012-05-29 12:53:45 (Show Source): You can put this solution on YOUR website! What planet are you on? On planet Earth, near ground level, height in meters at seconds after projectile launch is . Presuming launch from ground level or zero height ON EARTH and a 70 meters per second initial velocity, your particular function must be . Whatever planet you are talking about must be roughly twice as massive as earth. Set your function, either the one you have or the correct one, equal to 70 meters. Solve the resulting quadratic equation. The smaller number will be the beginning of the desired interval and the larger number will be the end of the desired interval. John My calculator said it, I believe it, that settles it
 Length-and-distance/615353: Can someone PLEASE help me solve this? Thank you! Convert the polar coordinate (8, ((5pi)/3)) to Cartesian coordinates.1 solutions Answer 387107 by solver91311(16897)   on 2012-05-27 23:28:37 (Show Source): You can put this solution on YOUR website! John My calculator said it, I believe it, that settles it
 Length-and-distance/615354: Can someone PLEASE help me solve this? Thank you! Convert these Cartesian coordinate to polar coordinates a) (-5,-2) 0<(theta)<2pi b) (-1,-5) 0<(theta)<2pi, r>0 c) (-6,6) 0<(theta)<2pi, r>01 solutions Answer 387106 by solver91311(16897)   on 2012-05-27 23:25:41 (Show Source): You can put this solution on YOUR website! John My calculator said it, I believe it, that settles it
 Trigonometry-basics/615349: HAD TROUBLE WITH TRIGONOMETRIC FUNCTIONS, I'VE NEVER DONE TRIGONOMETRY BEFORE NEED HELP WITH THIS . HERE'S THE QUESTION, FIND THE EXACT VALUE OF EACH REMAINING TRIGONOMETRIC FUNCTIONS OF THETA GIVEN COS THETA 4/5, THETA IN QUADRANT IV.1 solutions Answer 387104 by solver91311(16897)   on 2012-05-27 23:13:07 (Show Source): You can put this solution on YOUR website! Typing in all caps is both rude and annoying. Stop it. for , i.e. Quadrant IV. for And drop the BS about "I've never done trigonometry before" That dog won't hunt. John My calculator said it, I believe it, that settles it
 Graphs/615319: Input the equation of the given points in standard form not y=mx+b (-2,0) (0,-3)1 solutions Answer 387100 by solver91311(16897)   on 2012-05-27 22:41:01 (Show Source): You can put this solution on YOUR website! Input it into what? John My calculator said it, I believe it, that settles it
 Linear-equations/615346: HELP! - Determine how many solutions exist - Use either elimination or substitution to find the solutions (if any) - Graph the two lines, labeling the x-intercepts, y-intercepts, and points of intersection x + y = 3 and y = x + 3 1 solutions Answer 387099 by solver91311(16897)   on 2012-05-27 22:39:14 (Show Source): You can put this solution on YOUR website! Put both equations into slope-intercept form. If the slopes are different, then you have a single solution. Put both equations in to standard form. Add the two equations eliminating x, then solve the resulting single variable equation in y. Substitute back to get an equation in x and solve that. Graph them using normal methods. John My calculator said it, I believe it, that settles it
 Quadratic-relations-and-conic-sections/615277: Please help!!! Determine values for A, B, and C such that the equation below represents the given type of conic. Each axis of the ellipse, parabola, and hyperbola should be horizontal or vertical. Then rewrite your equation for each conic in standard form, identify (h, k), and describe the translation. Ax^2+By+Cy^2+2x-4y-5=0 Part A: Circle Part B: Ellipse Part C: Parabola Part D: Hyperbola1 solutions Answer 387095 by solver91311(16897)   on 2012-05-27 22:35:54 (Show Source): You can put this solution on YOUR website! If A = C, and neither is zero, you have a circle. If A is not equal to C, and neither is zero, but they are both the same sign, then ellipse. If A and C have different signs, and neither is zero, then hyperbola. If either A or C is zero, but not both, then parabola. If both A and C are zero, then straight line. John My calculator said it, I believe it, that settles it
 test/615340: What is the slope of a line passing through (-1,6) and (2,-3)1 solutions Answer 387093 by solver91311(16897)   on 2012-05-27 22:25:57 (Show Source): You can put this solution on YOUR website! Use the slope formula. where and are the coordinates of the given points. John My calculator said it, I believe it, that settles it
 test/615341: What is the slope-intercept form of x-3y=41 solutions Answer 387092 by solver91311(16897)   on 2012-05-27 22:24:25 (Show Source): You can put this solution on YOUR website! Add -x to both sides. Multiply both sides by -1/3 John My calculator said it, I believe it, that settles it
 Quadratic-relations-and-conic-sections/615343: x^2/19-y^2/9=1 Write the center and radius of the circle represented by the equation1 solutions Answer 387091 by solver91311(16897)   on 2012-05-27 22:23:12 (Show Source): You can put this solution on YOUR website! Not a circle. It is a hyperbola. John My calculator said it, I believe it, that settles it
 Problems-with-consecutive-odd-even-integers/614922: Find 2 consecutive negative numbers that have a product of 901 solutions Answer 386793 by solver91311(16897)   on 2012-05-25 20:32:40 (Show Source): You can put this solution on YOUR website! Let be the first number and then is the next consecutive number. Then if their product is 90: Put the quadratic into standard form, then solve for . Discard the positive root since the problem asks you to find negative integers. Then calculate John My calculator said it, I believe it, that settles it
 Probability-and-statistics/614924: HOW MANY SUBSETS ARE POSSIBLE FROM A SET WITH 55 ELEMENTS?1 solutions Answer 386771 by solver91311(16897)   on 2012-05-25 18:19:42 (Show Source): You can put this solution on YOUR website! All caps is shouting. It is both rude and annoying. Stop it. John My calculator said it, I believe it, that settles it
 Probability-and-statistics/614923: DRAW 8 CARDS FROM A STANDARD DECK WITH REPLACEMENT. wHAT IS THE PROBABILITY THAT OF THESE FIRST 8 CARDS 5 ARE SPADES?1 solutions Answer 386770 by solver91311(16897)   on 2012-05-25 18:19:24 (Show Source): You can put this solution on YOUR website! All caps is shouting. It is both rude and annoying. Stop it. John My calculator said it, I believe it, that settles it
 Probability-and-statistics/614925: 10 PEOPLE ARE RANDOMLY SEATED IN A ROW OF 10 CHAIRS. jOE AND jIM ARE IN A GROUP OF 10. wHAT IS THE PROBABILITY JOE AND JIM ARE SEATED ON THE ENDS?1 solutions Answer 386769 by solver91311(16897)   on 2012-05-25 18:19:01 (Show Source): You can put this solution on YOUR website! All caps is shouting. It is both rude and annoying. Stop it. John My calculator said it, I believe it, that settles it
 Polynomials-and-rational-expressions/614920: Can someone show me how to work the following problem and graph it? I am trying to figure this out so I can use it as an example for my homework. f(x) = (x + 6)(x + 2)(x – 4) 1 solutions Answer 386768 by solver91311(16897)   on 2012-05-25 18:13:51 (Show Source): You can put this solution on YOUR website! The zeros of the function are clearly at -6, -2, and 4, so plot the points (-6,0), (-2,0), and (4,0). While you are at it, substitute 0 for to find the -intercept, namely (0,-48). Plot that point. Note that the function zeros you plotted partition the -axis into four intervals: Select a value from each of the intervals and calculate the value of the function. This does two things. 1) it gives you another point to plot, and 2) it tells you whether the graph is positive or negative in that interval. This is a 3rd degree polynomial, so you would expect, given three real zeros, one peak and one valley in the graph. Finding the exact peak and valley requires a little calculus. Write back if you want to know how to do that. John My calculator said it, I believe it, that settles it
 Trigonometry-basics/614916: If sin A>0 and cos A<0 , in which quadrant does angle A terminate ?1 solutions Answer 386764 by solver91311(16897)   on 2012-05-25 17:45:16 (Show Source): You can put this solution on YOUR website! Cosine is positive in quadrants I and IV. Sine is positive in quadrants I and II. John My calculator said it, I believe it, that settles it
 Surface-area/614604: the length of the box is 12 inches and the height is 6 inches, if the volume of the box is 288 cubic inches, how wide is the box?1 solutions Answer 386632 by solver91311(16897)   on 2012-05-24 17:51:15 (Show Source): You can put this solution on YOUR website! Divide 288 by the product of 6 and 12. John My calculator said it, I believe it, that settles it
 Rational-functions/614603: how do you solve and find the solution of l-2x+7l>3 the > symbol is really supposed to be the equal to or greater than sign1 solutions Answer 386630 by solver91311(16897)   on 2012-05-24 17:47:44 (Show Source): You can put this solution on YOUR website! Collect like terms in the LHS. Add -72 to both sides. Multiply by and reverse the sense of the inequality. John My calculator said it, I believe it, that settles it
 Exponents/614554: if 90 divided by X equals 6 then what does X equal? 1 solutions Answer 386629 by solver91311(16897)   on 2012-05-24 17:17:10 (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
 Trigonometry-basics/614511: the exact value of cos 3.14/6 using the unit circle 1 solutions Answer 386616 by solver91311(16897)   on 2012-05-24 16:17:50 (Show Source): You can put this solution on YOUR website! Can't do that. is only an approximation of . That said, see the unit circle below for the value of Hint: is the value of the point on the unit circle. John My calculator said it, I believe it, that settles it