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# Recent problems solved by 'Alan3354'

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 Circles/587192: The flight path of Charlie's plane is (x-12)^2+(y-4)^2=9 and the flight path of Jackie's plane is (x-17)^2 + (y-5)^2 = 4. If Charlie and Jackie are flying their planes at the same altitude, is it likely that the planes will collide at some time? Justify your response, clearly stating any assumptions.1 solutions Answer 374036 by Alan3354(30993)   on 2012-03-15 08:01:26 (Show Source): You can put this solution on YOUR website!The flight path of Charlie's plane is (x-12)^2+(y-4)^2=9 and the flight path of Jackie's plane is (x-17)^2 + (y-5)^2 = 4. If Charlie and Jackie are flying their planes at the same altitude, is it likely that the planes will collide at some time? Justify your response, clearly stating any assumptions. ------------- Their flight paths don't intersect, no collision. They are 2 circles. If you find the difference between the centers, you see it's greater than the sum of their radii --> no intersection. --------
 test/587218: Convert the numeral to a numeral in the base indicated. 16,629 to base 131 solutions Answer 374035 by Alan3354(30993)   on 2012-03-15 07:58:35 (Show Source): You can put this solution on YOUR website!16,629 to base 13 ----------- 13^3 = 2197 16629/2197 = 7 + remainder rem = 1250 1250/169 = 7 + rem 67 67 = 5*13 + 2 --> 7752
 Numbers_Word_Problems/587096: If the sum of two consecutive even integers is 78, find the integers.?1 solutions Answer 373981 by Alan3354(30993)   on 2012-03-14 22:12:53 (Show Source): You can put this solution on YOUR website!If the sum of two consecutive even integers is 78, find the integers.? ----------- 78/2 = 39, the middle --> 38 & 40
 Square-cubic-other-roots/587001: can you help me work through this problem? cubed root of 81 minus the cubed root of 24 Thank you so much!!1 solutions Answer 373958 by Alan3354(30993)   on 2012-03-14 19:28:51 (Show Source): You can put this solution on YOUR website!cubed [sic] root of 81 minus the cubed [sic] root of 24 ------------ It's cube root. ---------- = = =
 Polygons/586959: i need help with solving polygons.1 solutions Answer 373956 by Alan3354(30993)   on 2012-03-14 19:14:45 (Show Source): You can put this solution on YOUR website!i need help with solving polygons. ---------- Polygons are not solved. Equations are solved.
 Matrices-and-determiminant/586999: Identify the solution to the system of equations. 3x-y=0 4x+2y=1 a.)(-1/2, 3/2) b.)(1/10, 3/10) c.)(1/9, 1/3) d.)no solution1 solutions Answer 373955 by Alan3354(30993)   on 2012-03-14 19:11:32 (Show Source): You can put this solution on YOUR website!Identify the solution to the system of equations. 3x-y=0 4x+2y=1 a.)(-1/2,3/2) b.)(1/10,3/10) c.)(1/9,1/3) d.)no solution -------------------- You have 3 choices, you can try each one and see if it works. Sub the values for x & y, and see what works. ----------- The alternative is to solve the system, which would be more instructive.
 Numeric_Fractions/586969: Demuestre Que Los Puntos (1,-3),(3,2)y(-2,4)Son Los Vértices De Un Triangulo Isósceles. 1 solutions Answer 373954 by Alan3354(30993)   on 2012-03-14 19:02:54 (Show Source): You can put this solution on YOUR website!Demuestre Que Los Puntos (1,-3),(3,2)y(-2,4)Son Los Vértices De Un Triangulo Isósceles. ---------- find the length of the 3 sides. If 2 are equal, it's isoceles.
 Polynomials-and-rational-expressions/586995: 27y squared - 48y to the fourth power 1 solutions Answer 373953 by Alan3354(30993)   on 2012-03-14 18:57:27 (Show Source): You can put this solution on YOUR website!27y squared - 48y to the fourth power ================== What about it?
 �t�e�s�t/586989: how do you do Pythagorean Theorem with diagonals 1 solutions Answer 373952 by Alan3354(30993)   on 2012-03-14 18:56:47 (Show Source): You can put this solution on YOUR website!how do you do Pythagorean Theorem with diagonals ----------- Same as any Pythagorean Theorem application.
 Radicals/586965: The formula for the volume of a sphere is V=4/3πr^3. Find the radius of a sphere with each volume. 1. 10 in^3 2. 20 ft^3 3. 0.45 cm^3 4. 0.002 mm^3 I tried doing the problems like this: 10/4/3π; it's not the right way, but I don't know how. It has to be answered as a radical expression. How do I do that?1 solutions Answer 373950 by Alan3354(30993)   on 2012-03-14 18:26:57 (Show Source): You can put this solution on YOUR website!The formula for the volume of a sphere is V=4/3πr^3. Find the radius of a sphere with each volume. 1. 10 in^3 Solve for r r =~ 1.3365 inches ------------------- You can do that for each one, or do it once and plug in the volumes. You can make an Excel sheet to do them, too. Make it once, it works forever. ------ Solve for r inches ---------------- ---------------- 2. 20 ft^3 3. 0.45 cm^3 4. 0.002 mm^3 I tried doing the problems like this: 10/4/3π; it's not the right way, but I don't know how. It has to be answered as a radical expression. How do I do that?
 Quadratic-relations-and-conic-sections/586749: does the following parabola open down because it is negative or up because the x is squared? y = -2x^2 + 5x - 21 solutions Answer 373867 by Alan3354(30993)   on 2012-03-14 09:45:53 (Show Source): You can put this solution on YOUR website!does the following parabola open down because it is negative or up because the x is squared? y = -2x^2 + 5x - 2 ----------- The coefficient of the x^2 term is negative --> opens downward If it's positive, it opens upward. ----------- If it's a parabola, it will be Ax^2 + Bx + C = 0
 Exponential-and-logarithmic-functions/586750: how do i solve: log base 2 8 (log2 8)1 solutions Answer 373865 by Alan3354(30993)   on 2012-03-14 09:42:27 (Show Source): You can put this solution on YOUR website!how do i solve: log base 2 8 (log2 8) ------- If you mean = = = ----------------- For a numerical answer: = log(24)/log(2) =~ 4.58496
 t e s t/586732: The sum of two nonnegative numbers is 9. Find these two numbers knowing that the product of one number and the square of the other number is a maximum.1 solutions Answer 373862 by Alan3354(30993)   on 2012-03-14 09:37:05 (Show Source): You can put this solution on YOUR website!The sum of two nonnegative numbers is 9. Find these two numbers knowing that the product of one number and the square of the other number is a maximum. ----------- P = x^2*(9-x) = 9x^2-x^3 f'(x) = -x*(x-6) = 0 --> x = 0, x = 6 ================ @ x=6, max value = 3*6^2 = 108
 Travel_Word_Problems/586497: Hello I really have trouble in math please solve this and teach me The car drove 40mi/hr to work and drove back 20mi/hr to go home. How much was the total distance?1 solutions Answer 373792 by Alan3354(30993)   on 2012-03-13 20:55:15 (Show Source): You can put this solution on YOUR website!The car drove 40mi/hr to work and drove back 20mi/hr to go home. How much was the total distance? -------------- Not enough info. No times or distances are given.
 Proportions/586513: a car travels 220 mi. in 4 h.1 solutions Answer 373791 by Alan3354(30993)   on 2012-03-13 20:53:32 (Show Source): You can put this solution on YOUR website!a car travels 220 mi. in 4 h. ------------- Do you have a question?
 Exponents/586550: Multiplay and express in scientific notation. (5 x 10^6)(6 x 10^2) = 3.0 x 10 ?1 solutions Answer 373789 by Alan3354(30993)   on 2012-03-13 20:52:22 (Show Source): You can put this solution on YOUR website!Multiplay and express in scientific notation. (5 x 10^6)(6 x 10^2) = 3.0 x 10 ? ------------ (5 x 10^6)(6 x 10^2) = 30*10^8 =
 Surface-area/586535: What is the area if diameter=6in 1 solutions Answer 373788 by Alan3354(30993)   on 2012-03-13 20:51:05 (Show Source): You can put this solution on YOUR website!What is the area if diameter=6in ------- Diameter implies a circle r = d/2 = 3 inches
 Volume/586537: a water tank measures 120 feet in diameter and is 50 feet high. How many cubic feet of water can it hold, to the nearest cubic foot? 1 solutions Answer 373786 by Alan3354(30993)   on 2012-03-13 20:49:48 (Show Source): You can put this solution on YOUR website!a water tank measures 120 feet in diameter and is 50 feet high. How many cubic feet of water can it hold, to the nearest cubic foot? ------------ If it's a cylinder,
 logarithm/586489: 2=4^1/2 Please write the equation in logarithmic form! 1 solutions Answer 373785 by Alan3354(30993)   on 2012-03-13 20:48:24 (Show Source): You can put this solution on YOUR website!2=4^1/2 Please write the equation in logarithmic form -------------- 4 is raised to a power, so it's the base The logarithm is the exponent, it's 1/2 --------------
 test/586539: pleasa help me solve this equation:whats 64% of 251 solutions Answer 373780 by Alan3354(30993)   on 2012-03-13 20:45:31 (Show Source): You can put this solution on YOUR website!pleasa help me solve this equation:whats 64% of 25 ------------- I don't see an equation, but 64% of 25 = 0.64*25 = 16
 Exponential-and-logarithmic-functions/586510: how do you solve 2 log x = -11 solutions Answer 373775 by Alan3354(30993)   on 2012-03-13 20:33:24 (Show Source): You can put this solution on YOUR website!how do you solve 2 log x = -1 ----------- log(x) = -1/2 = -0.5 x = 10^-0.5 You can use a calculator
 test/586519: 4n equals 6 times 141 solutions Answer 373773 by Alan3354(30993)   on 2012-03-13 20:30:20 (Show Source): You can put this solution on YOUR website!4n equals 6 times 14 -------- Thx for letting us know. Do you have a question?
 Rectangles/586392: what is the volume if the rectangle sides are 8 8 and 10 1 solutions Answer 373729 by Alan3354(30993)   on 2012-03-13 16:14:38 (Show Source): You can put this solution on YOUR website!what is the volume if the rectangle sides are 8 8 and 10 -------------- A rectangle is a plane figure. It has an area, but not a volume. --- If you mean a rectangular solid, then the volume is the product of its dimensions.
 Linear-systems/586337: i am 600 miles away from home traveling at 65 mph and i need an equation to find out when ill be 300 miles away from home. is y=65x+600 a good equation? 1 solutions Answer 373711 by Alan3354(30993)   on 2012-03-13 15:06:41 (Show Source): You can put this solution on YOUR website!i am 600 miles away from home traveling at 65 mph and i need an equation to find out when ill be 300 miles away from home. is y=65x+600 a good equation? -------------- You didn't state which way you were traveling. If you're moving away, it's good. Notice that y increases with x. ----------------- Asking when you'll be 300 miles away implies you're traveling towards home. --> d = 600 - 65x 300 = 600 - 65x 65x = 300 x = 300/65 = 60/13 hours
 Travel_Word_Problems/586342: A driver of a car is initially 550 miles from home, traveling toward home on a straight freeway at 65 mph. whats a formula for a linear function that models the distance between the driver and home after x hours.1 solutions Answer 373710 by Alan3354(30993)   on 2012-03-13 15:02:55 (Show Source): You can put this solution on YOUR website!A driver of a car is initially 550 miles from home, traveling toward home on a straight freeway at 65 mph. whats a formula for a linear function that models the distance between the driver and home after x hours. ------- d = 550 - 65x -------------- You couldn't do that?
 Polynomials-and-rational-expressions/586340: f(x)= x^3+9x^2-4x-36 this problem is to find all the real zeros of the function, but the function doesn't equal 0 when i use synthetic division. How do i go further with this problem?1 solutions Answer 373709 by Alan3354(30993)   on 2012-03-13 15:01:28 (Show Source): You can put this solution on YOUR website!f(x)= x^3+9x^2-4x-36 this problem is to find all the real zeros of the function, but the function doesn't equal 0 when i use synthetic division. How do i go further with this problem? -------------- x^3+9x^2-4x-36 can be factored. Notice the coefficients 1 & 9, and -4 & -36
 Coordinate-system/586339: for the given equation, list the intercepts and test for symmetry. y= x^2-3x-54 1 solutions Answer 373707 by Alan3354(30993)   on 2012-03-13 14:59:37 (Show Source): You can put this solution on YOUR website!for the given equation, list the intercepts and test for symmetry. y= x^2-3x-54 ---------------- Hint: You can factor that.
 Volume/586338: A ball fits exactly inside a cubical box whose sides have length 10". Find the volume of the ball.1 solutions Answer 373706 by Alan3354(30993)   on 2012-03-13 14:58:06 (Show Source): You can put this solution on YOUR website!A ball fits exactly inside a cubical box whose sides have length 10". Find the volume of the ball. -------------- The diameter of the ball is 10". r = d/2 = 5 inches cubic inches
 Linear-equations/586302: The graph of which of the following equations contains the points (2, 3) and (3, 2)?1 solutions Answer 373705 by Alan3354(30993)   on 2012-03-13 14:55:06 (Show Source): You can put this solution on YOUR website!Nothing follows
 Miscellaneous_Word_Problems/586322: you need to shovel 2000 pounds of sand today. if you already have 800 pounds done, how many pounds would you have to shovel per hour to finish in five hours1 solutions Answer 373704 by Alan3354(30993)   on 2012-03-13 14:54:22 (Show Source): You can put this solution on YOUR website!you need to shovel 2000 pounds of sand today. if you already have 800 pounds done, how many pounds would you have to shovel per hour to finish in five hours --------------- 2000 - 800 = 1200 pounds of sand --- 1200 pounds/5 hours = 240 pounds/hr
 Pythagorean-theorem/586329: can you have a triangle with legs of lengths 4 and 5 and hypotenuse of length 6?1 solutions Answer 373703 by Alan3354(30993)   on 2012-03-13 14:50:54 (Show Source): You can put this solution on YOUR website!can you have a triangle with legs of lengths 4 and 5 and hypotenuse of length 6? ----------- A triangle can be made with those sides, but not a right triangle. Hypotenuse implies it's a right triangle --> no.