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# Recent problems solved by 'Alan3354'

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 Exponential-and-logarithmic-functions/258469: I need help with this equation please! -X^2+4x+1. Thanks! Chad payne1 solutions Answer 190276 by Alan3354(31538)   on 2010-01-19 16:09:21 (Show Source): You can put this solution on YOUR website!Help doing what? It's not an equation, all equations have an equal sign. equal, equate, equation. This is just a trinomial. What do you want to do?
 Triangles/258450: If a triangle has two short sides that are each three and four inches in length, how long is the longest side?1 solutions Answer 190275 by Alan3354(31538)   on 2010-01-19 15:52:57 (Show Source): You can put this solution on YOUR website!If a triangle has two short sides that are each three and four inches in length, how long is the longest side? ----------------- To find the missing elements of a triangle, you have to know at least one side, and 2 other elements. With only 2 elements given, it can't be solved. ---------------- You can state that the length of the 3rd side has to be >1 and <7 inches. Since you state that the 3rd side is the longest, then side c is 7>c>4
 Travel_Word_Problems/258457: You drive a car from Milwaukee to Chicago in 95 min. What is its velocity in km/hr and speed in m/s? Were you speeding? Use 150km as your distance1 solutions Answer 190273 by Alan3354(31538)   on 2010-01-19 15:32:07 (Show Source): You can put this solution on YOUR website!You drive a car from Milwaukee to Chicago in 95 min. What is its velocity in km/hr 150 km/(95/60) hr = 9000/95 kph =~ 94.74 km/hr ---------------- and speed in m/s? (150 km * 1000m/km)/(95 min * 60 sec/min) = 150000/5700 m/sec =~ 26.3 meters/sec -------------- Were you speeding? Use 150km as your distance I'm always speeding ------------- Why is the km/hr called a velocity, and the meters/sec a speed?
 percentage/258451: estimate 8% of 621 solutions Answer 190262 by Alan3354(31538)   on 2010-01-19 14:49:03 (Show Source): You can put this solution on YOUR website!0.08*62 = 4.96 exactly
 Square-cubic-other-roots/258437: how do I simplify 3x^21 solutions Answer 190246 by Alan3354(31538)   on 2010-01-19 13:51:08 (Show Source): You can put this solution on YOUR website!That's as simple as it gets.
 Linear_Equations_And_Systems_Word_Problems/256986: How do I convert 11-6x=3 to a log?1 solutions Answer 190239 by Alan3354(31538)   on 2010-01-19 13:38:15 (Show Source): You can put this solution on YOUR website!11-6x = 3 -6x = -8 x = 4/3 --------- It has nothing to do with logs.
 Complex_Numbers/258433: I am given z=(5.5+5.5i);determine z^4 I multiplied it all out and used i^1=i, i^2=-1, i^3=-i, i^4=1. I got -14660.283 and its not right. Any help?1 solutions Answer 190235 by Alan3354(31538)   on 2010-01-19 13:31:39 (Show Source): You can put this solution on YOUR website! I am given z=(5.5+5.5i);determine z^4 z = 5.5(1+i) Using multiplication: z^4 = (5.5^4)*(1+i)^4 z^4 = 915.0625*(2i)^2 z^4 = -4*915.0625 z^4 = -3660.25 ---------------- |z| = 5.5*sqrt(2)cis(45) z^4 = (5.5^4)*4cis(180) z^4 = 3660.25*(-1 + 0) z^4 = -3660.25
 Polygons/258387: How do I find the measure of each interior angle of a 14-gon1 solutions Answer 190227 by Alan3354(31538)   on 2010-01-19 11:55:59 (Show Source): You can put this solution on YOUR website!The sum of the exterior angles = 360 Each exterior angle = 360/14 = 180/7 Each interior angle = 180 - (180/7) = 1260/7 - 180/7 = 1080/7 degs --------------- The sum of the interior angles = 180*(n-2) = 180*12 = 2160 degs Each angle = 2160/14 = 1080/7 degs
 Linear_Algebra/246351: Please help me solve this linear system with three variables. 2x-y+2z=-21 x+5y-z=25 -3x+2+4z=6 I had attempted to replicate the example. 6x-3y+6z=-62 -6x+4y+8z=12 y+14z=40 3x+5y-3z=75 -3x+2y+4z=6 17y-z=81 1 solutions Answer 190226 by Alan3354(31538)   on 2010-01-19 11:51:22 (Show Source): You can put this solution on YOUR website!2x-y+2z=-21 x+5y-z=25 -3x+2+4z=6 I had attempted to replicate the example. 6x-3y+6z=-62 ** = -63, not -62 -6x+4y+8z=12 -------------- Add y+14z=40 ** -51 ---------------- 3x+5y-3z=75 ** + 15y, not 5y -3x+2y+4z=6 17y-z=81 --> 17y + z = 81 ** not -z --------------- Your method is good, but you made some errors. ------------- y + 14z = -51 --> y = -14z - 51 17y + z = 81 ----------- Since y has a coeff of 1, use substitution. 17*(-14z-51) + z = 81 -237z - 867 = 81 -237z = 948 z = -4 -------- y = 5 ------ Sub to find x
 Numbers_Word_Problems/258361: Let a be the number of digits of 22001, and let b be the number of digits of 52001. Compute a+b. 1 solutions Answer 190185 by Alan3354(31538)   on 2010-01-19 08:55:28 (Show Source): You can put this solution on YOUR website!There are 5 in each, so it's 10 ??
 Numeric_Fractions/258313: -m.-n.-p1 solutions Answer 190179 by Alan3354(31538)   on 2010-01-19 08:28:14 (Show Source): You can put this solution on YOUR website!Do you have a question?
 Angles/258308: If the angle has three times the measure of a supplement to it, what is the measure of the anglee?1 solutions Answer 190149 by Alan3354(31538)   on 2010-01-19 04:09:45 (Show Source): You can put this solution on YOUR website!x + 3x = 180 You can finish it.
 Rate-of-work-word-problems/258295: A valve in a full 6000 gallon water tank is slowly opening. Water flows out of the tank through the valve. The flow rate in gallons per hour is given by the function f(t)=150t^2 where t is in minutes. a) How much water flows out of the tank in the first 3 minutes? b)How many minutes does it take for the tank to empty completely? I am completely lost any help would be great!!!!1 solutions Answer 190148 by Alan3354(31538)   on 2010-01-19 04:05:58 (Show Source): You can put this solution on YOUR website!A valve in a full 6000 gallon water tank is slowly opening. Water flows out of the tank through the valve. The flow rate in gallons per hour is given by the function f(t)=150t^2 where t is in minutes. a) How much water flows out of the tank in the first 3 minutes? b)How many minutes does it take for the tank to empty completely? --------------- What class are you in? Can you use derivatives and integrals? Are you familiar with those?
 Equations/258306: can someone find these equation y=(x-3) (x+3)1 solutions Answer 190146 by Alan3354(31538)   on 2010-01-19 03:54:25 (Show Source): You can put this solution on YOUR website!can someone find these equation y=(x-3) (x+3) ------------- What does that mean? Find them? You can multiply:
 Polynomials-and-rational-expressions/258302: Factor completely: 64x^3+343 factors of 64=1,2,4,8,16,32,64 ". ". 343=1,7,49 (8x^2+7)(8x+49) can't foil & I am stuck!1 solutions Answer 190143 by Alan3354(31538)   on 2010-01-19 03:05:05 (Show Source): You can put this solution on YOUR website!Factor completely: 64x^3+343 ----------------- It's the sum of 2 cubes. Sub 4x for a, and 7 for b -------------------- -------------------------------- The difference of 2 cubes is similar: The difference of any 2 odd powers is also similar.
 Exponential-and-logarithmic-functions/258260: Write in exponential notation:  (7)(7)(7)(7)1 solutions Answer 190142 by Alan3354(31538)   on 2010-01-19 03:01:35 (Show Source):
 Proportions/258197: y=17.6 square root symbol 4+22 inside the sqrootsymbol= 57.2 how did they get that answer? I can't draw out the sq root part.sorry1 solutions Answer 190114 by Alan3354(31538)   on 2010-01-18 21:42:13 (Show Source): You can put this solution on YOUR website!= =17.6*2 + 22 35.2 + 22 = 57.2
 Surface-area/258227: is it possible for the surface area of a cube to be larger than its volume1 solutions Answer 190099 by Alan3354(31538)   on 2010-01-18 21:14:58 (Show Source): You can put this solution on YOUR website!It's possible for it to be a bigger number, but the units are different. A cube 2 units on a side has a volume of 8 cubic units. It's surface area is 6*2^2 = 24 square units. ------------------ Is it possible for it to be colder in the winter than it is in the city? ------------- If the streets intersect at an angle of 90º, is it a good day to go to the beach?
 Numeric_Fractions/258250: (3/-5)+(-7/4) solve fraction in simplist form1 solutions Answer 190094 by Alan3354(31538)   on 2010-01-18 21:09:04 (Show Source): You can put this solution on YOUR website!This looks familiar. What did you get? Try it, and I'll check your work if you send it via the "thank you" note.
 Geometry_Word_Problems/258238: If Sam can do a job in 4 days that Lisa can do in 6 days and Tom can do in 2 days, how long would the job take if Sam, Lisa, and Tom worked together to complete it? 1 solutions Answer 190090 by Alan3354(31538)   on 2010-01-18 21:04:46 (Show Source): You can put this solution on YOUR website! If Sam can do a job in 4 days that Lisa can do in 6 days and Tom can do in 2 days, how long would the job take if Sam, Lisa, and Tom worked together to complete it? --------- Use the shortcut, abc/(ab + ac + bc) = 4*6*2/(4*6 + 4*2 + 6*2) = 48/(24 + 8 + 12) = 48/44 = 12/11 days
 Numeric_Fractions/256999: whats greater 9/10 or 5/6 ? 1 solutions Answer 190087 by Alan3354(31538)   on 2010-01-18 21:02:15 (Show Source): You can put this solution on YOUR website!9/10 -------- 2 ways to do this. convert to decimal: 9/10 = 0.9, 5/6 = 0.8333... ----------------- Make the DEN the same: 9/10 = 54/60, 5/6 = 50/60
 Numeric_Fractions/258226: (2/-7)+(2/3) solve fraction in simplist form 1 solutions Answer 190085 by Alan3354(31538)   on 2010-01-18 21:01:11 (Show Source): You can put this solution on YOUR website!(2/-7)+(2/3) = (2/3) - (2/7) = (14/21) - 6/21 = 8/21
 Numeric_Fractions/258222: fraction in simplist form 2/-7+2/31 solutions Answer 190073 by Alan3354(31538)   on 2010-01-18 20:07:30 (Show Source): You can put this solution on YOUR website!2/-7+2/3 ------- That could be 2/(-7 + 2/3), or (2/-7) +(2/3), or 2/(-7+2)/3, or maybe something else. Parentheses are free. Use some.
 Graphs/254678: how do you graph y=4x^2-x+1?1 solutions Answer 190072 by Alan3354(31538)   on 2010-01-18 20:05:23 (Show Source): You can put this solution on YOUR website!You pick values of x and find the values of y. Each pair makes a point. You plot the points and draw a smooth curve thru them.
 Numbers_Word_Problems/258156: what is the 2 consecutive 2-digit numbers for the product 812 1 solutions Answer 190051 by Alan3354(31538)   on 2010-01-18 18:46:02 (Show Source): You can put this solution on YOUR website!Do these the fast and easy way. It could make the difference on a test. ---------------------------- sqrt(812) = 28.... something, less than 29. The numbers are 28 and 29 -28 and -29 work also.
 Expressions-with-variables/258123: I have two problems. Please help. Problem one: Evaluate 8x, when =7 Problem two: Evaluate 6y, when y=71 solutions Answer 189995 by Alan3354(31538)   on 2010-01-18 17:00:48 (Show Source): You can put this solution on YOUR website!Problem one: Evaluate 8x, when =7 I assume you mean x = 7 -------- Replace the x in 8x with 7 --> 8*7 = 56 --------------------------- Problem two: Evaluate 6y, when y=7 Do it like the 1st one.
 Quadratic_Equations/258096: how do i solve 4x^2+4x-15=01 solutions Answer 189948 by Alan3354(31538)   on 2010-01-18 15:36:54 (Show Source): You can put this solution on YOUR website!how do i solve 4x^2+4x-15=0 ----------- There are several methods. Factoring, completing the square, and the quadratic equation. -------------- You can use Excel, too, and look for zeroes between -15 and +15.
 Quadratic_Equations/258000: What is the points of intersection of these equations x-2y-8=0 x^2=y^2-12x+6y+29=01 solutions Answer 189925 by Alan3354(31538)   on 2010-01-18 15:10:15 (Show Source): You can put this solution on YOUR website!The 2nd "equation" has too many equal signs. If the 1st = is a +, then Edwin's solution is good. If it's a minus sign, it's a different solution. --------------- You can see in Greenfinch's photo that he's sound asleep. Greenfinch said it's a circle, but used a minus sign which makes it a hyperbola.
 Angles/258065: The Measure of two complementary angles are consecutive even integers. Find the measure of each angle.1 solutions Answer 189920 by Alan3354(31538)   on 2010-01-18 15:03:09 (Show Source): You can put this solution on YOUR website!Find 2 consecutive even integers that total 90 is the problem. The easy way: 90/2 = 45, which is between the 2 numbers. --> 44 and 46 degrees
 Numbers_Word_Problems/258038: The sum of the squares of two consecutive odd integers is 130. Find the integers.1 solutions Answer 189887 by Alan3354(31538)   on 2010-01-18 14:11:34 (Show Source): You can put this solution on YOUR website!Do these the easy way: 130/2 = 65 sqrt(65)=~8, which is between the 2 numbers. --> 7 and 9
 Coordinate-system/257758: Please help me find the line of symmetry for the parabola: y= -(x - 2)^2 + 4 1 solutions Answer 189743 by Alan3354(31538)   on 2010-01-17 21:01:25 (Show Source): You can put this solution on YOUR website!Please help me find the line of symmetry for the parabola: y= -(x - 2)^2 + 4 --------------------- It's x = 2, from the (x-2) term