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 Coordinate-system/396315: find the distance between the points. Give an exact answer and approximation to three decimal places. (-2,8) and (-12,9)1 solutions Answer 281150 by Alan3354(30959)   on 2011-01-18 16:53:24 (Show Source): You can put this solution on YOUR website!find the distance between the points. Give an exact answer and approximation to three decimal places. (-2,8) and (-12,9) ---------------- This is an application of Pythagoras. d =~ 10.050
 Numbers_Word_Problems/396298: the product of two numbers is 96 their difference is 10 .what are the numbers1 solutions Answer 281149 by Alan3354(30959)   on 2011-01-18 16:51:04 (Show Source): You can put this solution on YOUR website!Since the difference is 10, the units digits have to be the same. Only 4*4 and 6*6 give a units digit in the product of 6. 4*24 is not it, and 14 is not a factor. That leaves 6 & 16. --------------------- You can work it out with algebra, but it takes longer. If it's a question on a test, and showing work is not required, do it the fastest way possible.
 Triangles/396302: Can the following three lenghts be measures of the sides of a triangle? A) 13 in, 8 in, 6 in B) 7 cm, 7cm, 14 cm Thanks!1 solutions Answer 281146 by Alan3354(30959)   on 2011-01-18 16:37:17 (Show Source): You can put this solution on YOUR website!Can the following three lenghts be measures of the sides of a triangle? A) 13 in, 8 in, 6 in Yes. ------------- B) 7 cm, 7cm, 14 cm No. Do you know why?
 logarithm/396238: Solve the following equation in x: ln(9 - x^2) = 2 1 solutions Answer 281139 by Alan3354(30959)   on 2011-01-18 16:05:42 (Show Source): You can put this solution on YOUR website! Solve the following equation in x: ln(9 - x^2) = 2 ----------- x = ± sqrt(9 - e^2) x =~ ± 1.26922965
 Travel_Word_Problems/396248: please help me solve this question: You are traveling at 70. km per hr how fast are you going in miles per second? 1 solutions Answer 281130 by Alan3354(30959)   on 2011-01-18 15:06:35 (Show Source): You can put this solution on YOUR website!1 mile = 1.609344 kms (exactly) 1 hour = 3600 seconds ----------- 70 km/hr = 70 km/hr * (1/3600) hr/sec * (1/1.609344) mi/km =~ 1.20822E-2 mi/sec =~ 0.01208 mi/sec
 Polynomials-and-rational-expressions/396247: Can someone please help me with this problem? 1/y=2/y-1/51 solutions Answer 281123 by Alan3354(30959)   on 2011-01-18 14:40:57 (Show Source): You can put this solution on YOUR website!1/y=2/y-1/5 ----------- Multiply by 5y 5 = 10 - y y = 5
 Linear-equations/396232: change y=x-3 so that the graph of the new equation has a steeper,negative slope and the same y-intercept.1 solutions Answer 281120 by Alan3354(30959)   on 2011-01-18 14:27:17 (Show Source): You can put this solution on YOUR website!y = kx - 3 where k < -1 eg y = -2x - 3 or y = -1.1x - 3
 Travel_Word_Problems/396221: please help me solve this problem: Acetone has a density of 0.7925 g/cm3. 1.0 g has how much volume in Liters.1 solutions Answer 281119 by Alan3354(30959)   on 2011-01-18 14:17:29 (Show Source): You can put this solution on YOUR website!Acetone has a density of 0.7925 g/cm3. 1.0 g has how much volume in Liters. ------------- 1 gram is 1/0.7925 cc =~ 1.2618 cc = 0.0012618 liter
 Travel_Word_Problems/396222: please help me solve this problem: You are on mars. There is a pool of water in the mars base greenhouse. Will a stick of wood with a specific gravity of 0.71 float in the pool?1 solutions Answer 281118 by Alan3354(30959)   on 2011-01-18 14:15:28 (Show Source): You can put this solution on YOUR website!It will float. The density of water and wood don't change with gravity, they're based on mass, not weight.
 Equations/396134: Factories y to the power 2 + 8y 1 solutions Answer 281097 by Alan3354(30959)   on 2011-01-18 11:56:58 (Show Source): You can put this solution on YOUR website!Do you mean factor?
 Linear-equations/396152: Demonstrate by determining the slope of "3x + 5y = 19." 1 solutions Answer 281085 by Alan3354(30959)   on 2011-01-18 11:17:47 (Show Source): You can put this solution on YOUR website!Demonstrate what? To find the slope, put the eqn in slope-intercept form. That means solve for y. 3x + 5y = 19 y = (-3/5)x + 19/5 Slope m = the coefficient of x m = -3/5
 Polynomials-and-rational-expressions/396149: Factor completely. 1 solutions Answer 281083 by Alan3354(30959)   on 2011-01-18 11:11:52 (Show Source): You can put this solution on YOUR website!When both ends are squares, try that first.
 Polynomials-and-rational-expressions/396133: Use the FOIL method to find the product. 1 solutions Answer 281073 by Alan3354(30959)   on 2011-01-18 10:38:25 (Show Source):
 Equations/396126: Please help me find the answer to this equation: (3x-2y)squared? I can't locate the squared symbol on my keyboard.1 solutions Answer 281070 by Alan3354(30959)   on 2011-01-18 10:23:42 (Show Source): You can put this solution on YOUR website! That's not an equation, there's no equal sign. If you want to expand it: = 3x(3x - 2y) - 2y(3x - 2y) =
 Linear_Algebra/396114: Solve the system of equations using the method of your choice: {3x-2y=12 {4x+2y=01 solutions Answer 281065 by Alan3354(30959)   on 2011-01-18 10:07:43 (Show Source): You can put this solution on YOUR website!Add the 2 equations.
 Functions/396108: Use the equation 12x-2y=16 to answer the following: A)Write the equation in slope-intercept form. B)Identify the slope of the equation. C)Identify the y-intercept.1 solutions Answer 281064 by Alan3354(30959)   on 2011-01-18 10:06:49 (Show Source): You can put this solution on YOUR website!Use the equation 12x-2y=16 to answer the following: A)Write the equation in slope-intercept form. That's y = mx + b where m = slope, b = y-intercept ---------------------- That means solve for y 12x-2y=16 6x - y = 8 y = 6x - 8 -------------------- B)Identify the slope of the equation m = 6 ------------- C)Identify the y-intercept b = -8
 Equations/396119: train A and B are traveling in the same direction on parallel tracks. Train A is traveling at 60 miles per hour and train B is traveling at 80 miles per hour. Train A passes a station at 6:10 P.M. If train B passes the same station at 6:25 P.M., at what time will train B catch up to train A?1 solutions Answer 281063 by Alan3354(30959)   on 2011-01-18 10:00:29 (Show Source): You can put this solution on YOUR website!train A and B are traveling in the same direction on parallel tracks. Train A is traveling at 60 miles per hour and train B is traveling at 80 miles per hour. Train A passes a station at 6:10 P.M. If train B passes the same station at 6:25 P.M., at what time will train B catch up to train A? -------------- In 1/4 hour (625 - 610) train A goes 15 miles (60 * 1/4) Train B gains on A at 20 mph (80 - 60) 15 miles/20 mph = 3/4 hour = 45 minutes 6:25 + 0:45 = 7:10 PM
 Quadratic_Equations/396120: How would you solve this? m4 +13m2 − 48 = 0 would you separate the equation out so it's m2(m2+13)-48=0?1 solutions Answer 281062 by Alan3354(30959)   on 2011-01-18 09:42:43 (Show Source): You can put this solution on YOUR website!Assuming the 4 and 2 are exponents, Sub x for m^2 (x+16)(x-3) = 0 x = 3, -16 ---------- Sub back m = ± sqrt(3) ------------ m = ± 4i ================ You might factor that, too. Same answers, simpler, but if factoring isn't possible, substitution always works.
 Circles/392692: if a circle has the diameter of 8, what is the circumference? 1.731 solutions Answer 281061 by Alan3354(30959)   on 2011-01-18 09:33:30 (Show Source): You can put this solution on YOUR website!C = pi*d C =~ 25.13 ----------- What's the 1.73 ??
 Circles/395562: what is the approximate area of a circle with diameter 13.7 inches?1 solutions Answer 281060 by Alan3354(30959)   on 2011-01-18 09:32:11 (Show Source): You can put this solution on YOUR website! Area =~ 147.4 sq inches
 Rate-of-work-word-problems/396116: It takes Mang kaloy 3 hours to plow his ricefield with his new tractor. Using the old tractor, it takes him 5 hours. If his son helped him plow the field, how long will it take them to plow the ricefield using both tractors?1 solutions Answer 281059 by Alan3354(30959)   on 2011-01-18 09:28:16 (Show Source): You can put this solution on YOUR website!The new tractor does 1/3 of the field per hour. The old one does 1/5 per hour. Together, the do 1/3 + 1/5 per hour. Can you finish it?
 Graphs/396011: (-2,5) write the equation of a line that passes through the point and has slope.1 solutions Answer 281028 by Alan3354(30959)   on 2011-01-17 22:47:16 (Show Source): You can put this solution on YOUR website!Slope = m y-5 = m(x+2)
 Trigonometry-basics/396007: How do I solve the following question: 8 sin cube x - 18 sin square x + 13 sinx - 3 = 0, xE[-pi/2, pi)?1 solutions Answer 281027 by Alan3354(30959)   on 2011-01-17 22:45:33 (Show Source): You can put this solution on YOUR website!Sub y for sin(x) You can see that 8+13 = -(-18-3) so f(-1) = 0 and y=1 is a zero. Divide by (y-1) and solve the quadratic. Sub sin(x) for y.
 Rate-of-work-word-problems/395963: if you can paint the garage in 10 hours and your brother can paint it in 15 hours, how long will it take the two to paint the garage? 1 solutions Answer 281024 by Alan3354(30959)   on 2011-01-17 22:33:08 (Show Source): You can put this solution on YOUR website!You do 1/10 per hour, your brother does 1/15 per hour. Together, 1/10 + 1/15 = 1/6 per hour --> 6 hours
 Average/395970: Simplify. (256/81)^1/41 solutions Answer 281016 by Alan3354(30959)   on 2011-01-17 22:23:42 (Show Source): You can put this solution on YOUR website!The principal answer = 4/3 ± 4/3 is fairly obvious.
 Word_Problems_With_Coins/396002: They made a 20% profit on the dimes and a 10% profit on the silver dollars. How much total profit, in dollars, did they make?1 solutions Answer 281014 by Alan3354(30959)   on 2011-01-17 22:22:01 (Show Source): You can put this solution on YOUR website!Who?
 Numbers_Word_Problems/395980: Hello, can someone please help me with this problem? I have no idea how to even go about doing it. Thank you! "A carpenter charged \$110 for a 3 hour job and charged \$160 for a 5 hour job. At this rate how much would he charge for a job that required 8 hours to complete?" Thank you so much for answering my question!1 solutions Answer 281013 by Alan3354(30959)   on 2011-01-17 22:21:10 (Show Source): You can put this solution on YOUR website!"A carpenter charged \$110 for a 3 hour job and charged \$160 for a 5 hour job. At this rate how much would he charge for a job that required 8 hours to complete?" ----------- Some assumptions have to be made, but The difference of 2 hours causes a difference of \$50. That implies a minimum plus an hourly charge. Hourly = \$50/2 = \$25/hour Minimum = \$110 - \$25*3 = \$35 ----------- Charge = \$35 + \$25*hr For 8 hours = \$35 + \$25*8 = \$235
 Quadratic_Equations/395993: A high school is planning to build a new field surrounded by a running track. The perimeter of the track is 500m.A rectangle field inside track with maximum area, what are the dimensions ? 1 solutions Answer 281011 by Alan3354(30959)   on 2011-01-17 22:14:06 (Show Source): You can put this solution on YOUR website!Max area of a rectangle is a square (proof can be supplied). Side = 500/4 = 125 m Area = 125*125 = 15625 sq meters
 Mixture_Word_Problems/395983: A pharmacist wishes to mix a solution that is 6% minoxidil. She has on hand 70ml of a 4% solution and wishes to add some 8% solution to obtain the desired 6% solution. how much 8% solution should she add?1 solutions Answer 280997 by Alan3354(30959)   on 2011-01-17 21:51:46 (Show Source): You can put this solution on YOUR website!6% is the midpoint, or average, of 4% and 8% --> equal amounts. --> 70 ml
 Travel_Word_Problems/395991: An aircraft carrier and a nuclear-powered submarine leave a naval yard at the same time heading for the same destination. The aircraft carrier travels at a constant speed of 34.5 mph and the sub travels at a constant speed of 20.2 mph until they are 100 miles apart. How long will it take for them to be 100 miles apart?1 solutions Answer 280995 by Alan3354(30959)   on 2011-01-17 21:50:05 (Show Source): You can put this solution on YOUR website!The difference in speed, or the speed of one relative to the other, is 14.3 mph (34.5 - 20.2) 100/14.3 = 6.993 hr =~ 7 hours ------------------- Boats and aircraft use knots for speed, not mph.
 Graphs/395775: The measure of an acute angle is less than 90 degrees. If an acute angle measures 3x - 15, then the inequality to represent its measure is 3x - 15 < 90. Solve and write the inequality you found which represents the measure of x. 1 solutions Answer 280909 by Alan3354(30959)   on 2011-01-17 16:28:56 (Show Source): You can put this solution on YOUR website!3x - 15 < 90. Solve and write the inequality you found which represents the measure of x. ----------- 3x - 15 < 90 3x < 105 x < 35