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# Recent problems solved by 'nyc_function'

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 Travel_Word_Problems/371190: A car travels 400 miles on level terrain in the same amount of time it travels 160 miles on mountainous terrain. If the rate of the car is 30 miles per hour less in the mountains than on level ground, find its rate in the mountains.1 solutions Answer 264453 by nyc_function(2733)   on 2010-11-15 00:22:12 (Show Source): You can put this solution on YOUR website!Here is your equation: 400/(x + 30) = 160/(x - 30) Can you finish?
 Numbers_Word_Problems/371199: what is one half the difference of t and six is less than or equal to four1 solutions Answer 264451 by nyc_function(2733)   on 2010-11-15 00:19:21 (Show Source): You can put this solution on YOUR website!Are you asking 2 questions here?
 Parallelograms/370547: YWXZ is a rhombus with diagonals that intersect at point S. Side WX measures 4a+12. Side XZ measures 6a. Find teh value of a.1 solutions Answer 264187 by nyc_function(2733)   on 2010-11-14 00:30:04 (Show Source): You can put this solution on YOUR website!Rhombus I have all of the properties of the parallelogram PLUS - 4 congruent sides - diagonals bisect angles - diagonals perpendicular 4a + 12 = 6a 4a - 6a = -12 -2a = -12 a = -12/-2 a = 6
 Parallelograms/370542: the diagonals of rhombus FGHJ intersect at point K. If side GH is equal to 3x-10 side JH is equal to 6x-19, find x. 1 solutions Answer 264185 by nyc_function(2733)   on 2010-11-14 00:23:04 (Show Source): You can put this solution on YOUR website!Rhombus I have all of the properties of the parallelogram PLUS - 4 congruent sides - diagonals bisect angles - diagonals perpendicular 3x - 10 = 6x - 19 3x - 6x = -19 + 10 -3x = -9 x = -9/-3 x = 3
 Parallelograms/370535: ABCD is a parallelogram. If AE is equal to 1/2b+1 and EC is equal to b-15, find the measure of AE: Can you tell me if I have the correct answer, if not, how do you solve this? 321 solutions Answer 264184 by nyc_function(2733)   on 2010-11-14 00:20:03 (Show Source): You can put this solution on YOUR website!You are almost correct. The answer is 32 for b. The distance from A to E = E to C. 1/2b + 1 = b - 15 b = 32 Now that we know b, we must plug that into the equation to find the distance from A to E. AE = EC If EC = 32 - 15 or 17, then AE must be 17 also.
 Triangles/370550: Triangle DEF is congruent to triangle GH. Side DE measures 52. Side GH measures 10x-13. Side HI measures 12x-16. Find the value of x.1 solutions Answer 264183 by nyc_function(2733)   on 2010-11-14 00:17:16 (Show Source): You can put this solution on YOUR website!DE=GH by CPCTC 52=10x-13 10x=52+13 10x=65 x=65/10 x=13/2 Not so sure.... By the way, what do you mean by side GHI measures 12x-16? Isn't it an angle? mrfeliz.webs.com
 Graphs/370565: can you sketch the graph y greater than or equal to x-4 on a graph please1 solutions Answer 264182 by nyc_function(2733)   on 2010-11-14 00:13:30 (Show Source): You can put this solution on YOUR website!Copy and paste link to see your graph. http://mathway.com/answer.aspx?p=grap?p=ySMB03SMB01x-4?p=False?p=False?p=True?p=False?p=True
 Graphs/370566: can you please sketch the graph y grater than or equal to x-4 on a graph please1 solutions Answer 264181 by nyc_function(2733)   on 2010-11-14 00:13:06 (Show Source): You can put this solution on YOUR website!Copy and paste link to see your graph. http://mathway.com/answer.aspx?p=grap?p=ySMB03SMB01x-4?p=False?p=False?p=True?p=False?p=True
 Numeric_Fractions/370618: 11x/12(fraction)=x/3(fraction)+71 solutions Answer 264180 by nyc_function(2733)   on 2010-11-14 00:07:58 (Show Source): You can put this solution on YOUR website!11x/12 = (x/3) + 7 HINT: Multiply both sides by the LCD. LCD = 12 Can you finish?
 Expressions-with-variables/370620: what is point slope form under? 1 solutions Answer 264179 by nyc_function(2733)   on 2010-11-14 00:06:02 (Show Source): You can put this solution on YOUR website!Your question is not too clear. Do you need the point-slope formula or do you want a definition?
 Expressions-with-variables/370621: f(x)=2x to the 4th power - 6x squared - 5 Find x if f(x)= 15 1 solutions Answer 264178 by nyc_function(2733)   on 2010-11-14 00:04:50 (Show Source): You can put this solution on YOUR website!f(x) = 2x^4 - 6x^2 - 5 Replace f(x) with 15 and factor. 15 = 2x^4 - 6x^2 - 5 Can you finish now?
 Expressions-with-variables/370622: how do you find slope of 3x+4y=-48 1 solutions Answer 264177 by nyc_function(2733)   on 2010-11-14 00:03:24 (Show Source): You can put this solution on YOUR website!3x+4y = -48 4y = -3x - 48 y = (-3/4)(x) - 12 The slope is the coefficient of x. Can you tell me what the slope is?
 Trigonometry-basics/368413: What is the solution for the exact value of cos195 degrees?1 solutions Answer 262547 by nyc_function(2733)   on 2010-11-09 13:03:36 (Show Source): You can put this solution on YOUR website!Find the exact value of cos195 degrees. The key is to write 195 degrees as the sum or difference of two numbers whose sine and cosine are known. cos195 = cos(45 + 150). NOTE: 45 + 150 = 195. We need to use the sum formula for cosine. We use this: cos(A + B) = cosAcosB - sinAsinB Let A = 45 and B = 150 cos(45 + 150) = cos45cos150 - sin45sin150 If you memorized the unit circle (as you should to make your trig life easier), you will know the following: cos45 = sqrt[2]/2 cos150 = -sqrt[3]/2 sin45 = sqrt[2] sin150 = 1/2 cos(45 + 150) = sqrt[2]/2 * -sqrt[3]/2 - sqrt[2]/2 * 1/2 cos(45 + 150) = (-sqrt[6] - sqrt[2])/4 So, the exact value of cos195 degrees is (-sqrt[6] - sqrt[2])/4 mrfeliz.webs.com
 Linear-equations/368414: what does x equal in the equation: 2-3(2x-1)=171 solutions Answer 262545 by nyc_function(2733)   on 2010-11-09 12:49:02 (Show Source): You can put this solution on YOUR website!2-3(2x-1)= 17 2 -6x + 3 = 17 -6x + 5 = 17 -6x = 17 - 5 -6x = 12 x = 12/-6 x = -2 mrfeliz.webs.com
 Numeric_Fractions/368412: 16/x=58%, What is X equal to?1 solutions Answer 262544 by nyc_function(2733)   on 2010-11-09 12:47:46 (Show Source): You can put this solution on YOUR website!The first thing to do is change 58% to a decimal. So, 58% = 0.58 The equation now looks like this: (16/x) = 58 To remove the fraction, multiply both sides of the equation by x. This will produce 16 = 0.58x as you know. We now divide 16 by 0.58 to find x. 16/0.58 = x 27.5862069 = x We can round off 27.5862069 to the nearest tenths to get 27.6 = x. mrfeliz.webs.com
 Graphs/367463: Find the slope and Y intercept of lines 8x=5y+251 solutions Answer 262543 by nyc_function(2733)   on 2010-11-09 12:44:00 (Show Source): You can put this solution on YOUR website!I want to write your equation in the form y = mx + b where x is the slope and y is the y-intercept. 8x = 5y+25 8x - 25 = 5y (8/5)x - 5 = y The slope is 8/5 and the y-intercept is -5. mrfeliz.webs.com
 Volume/368353: What is the volume of the hemisphere below? Use 3.14 for π and round to the nearest hundredth of a cubic centimeter.1 solutions Answer 262542 by nyc_function(2733)   on 2010-11-09 12:34:28 (Show Source): You can put this solution on YOUR website!What hemisphere below? There is no picture here.
 Linear-equations/368408: Can someone help me find the domain for g(x)=6/2-5x1 solutions Answer 262540 by nyc_function(2733)   on 2010-11-09 12:31:27 (Show Source): You can put this solution on YOUR website!g(x)= 6/2-5x To domain of g(x) will be the answer(s) for x that do not make the denominator zero. To find the domain, set 2 - 5x = 0 and solve for x. 2 - 5x = 0 -5x = -2 x = -2/-5 x = 2/5 DOMAIN = ALL REAL NUMBERS except that x CANNOT be 2/5. Done! NOTE: If x = 2/5 here, it will create a zero in the denominator, which is undefined since there is no such thing as division by zero.
 Human-and-algebraic-language/368375: How many pounds of candy selling at \$3.75/lb should be mixed with 39 pounds of candy selling at \$5/lb to produce a mixture that should sell at \$4.25/lb? 1 solutions Answer 262539 by nyc_function(2733)   on 2010-11-09 12:28:13 (Show Source): You can put this solution on YOUR website!Here is your equation: 3.75x + 5(39) = 4.25(x + 39) Can you take it from here?
 Complex_Numbers/368404: write (4+6i)-(5+3i) in a+bi form?1 solutions Answer 262538 by nyc_function(2733)   on 2010-11-09 12:20:05 (Show Source): You can put this solution on YOUR website! (4+6i)-(5+3i) = 4 + 6i - 5 - 3i = We now combine like terms. 4 - 5 = -1 6i - 3i = 3i Final Answer: -1 + 3i Done!
 logarithm/368402: log10(6x-3)=4 solve I have no clue 1 solutions Answer 262537 by nyc_function(2733)   on 2010-11-09 12:16:37 (Show Source): You can put this solution on YOUR website!log_10 (6x - 3) = 4 (1) Rewrite the equation in exponential form. 10 is raised to the 4th power and (6x - 3) moves to the right side of the equation. 10^4 = 6x - 3 (2) We now solve equation for x. 10,000 = 6x - 3 10,000 + 3 = 6x 10003 = 6x (3) We now divide 10003 by 6 to find x. 10003/6 = x 1667.17 = x
 Trigonometry-basics/368400: From a point on level ground 60 feet from the base of a tree, the angle between the ground and the line of sight to the top of the tree is 42 degrees, how tall is the tree to the nearest foot?1 solutions Answer 262535 by nyc_function(2733)   on 2010-11-09 12:08:59 (Show Source): You can put this solution on YOUR website!To find the height of the tree, we use the tangent function from trigonometry. The point which is 60 feet away from the base of the tree and the line of sight create a right triangle for us. tangent = opposite side of triangle divided by the adjacent side of triangle. Let h = height of tree tan42 = h/60 tan42(60) = h 54.02424266 = h To nearest foot, the tree is 54 feet.
 Graphs/368064: is the number a solution of 6x-3>101 solutions Answer 262340 by nyc_function(2733)   on 2010-11-08 20:09:14 (Show Source): You can put this solution on YOUR website!6x -3 > 10 6x > 10 + 3 6x > 13 x > 13/6 The original inequality given to you is true when the value of x is greater than 13/6.
 Geometry_Word_Problems/368073: one leg of the right triangle is twice as long as the other .write the length of the hypotenuse as a function length of the shorter leg?1 solutions Answer 262338 by nyc_function(2733)   on 2010-11-08 20:07:09 (Show Source): You can put this solution on YOUR website!Let x = shorter leg Let 2x = larger leg Let h = hypotenuse The function is: x^2 + (2x)^2 = h(x)
 Triangles/368110: Perimeter of a triangle is 69, side a is 5 inches shorter then side b, Side c is twice as long as side a. Find the length of each side1 solutions Answer 262335 by nyc_function(2733)   on 2010-11-08 20:03:33 (Show Source): You can put this solution on YOUR website!I will give you the equation and you can then solve for each side. side a = (x - 5) side b = x side c = 2(x - 5) Perimeter is 69. 69 = (x - 5) + x + 2(x - 5) Can you finish?
 test/368119: 8+(-3) Please Explain How To Solve.1 solutions Answer 262332 by nyc_function(2733)   on 2010-11-08 20:00:30 (Show Source): You can put this solution on YOUR website!To solve, you need to know the rules for addition of signed numbers. When adding two numbers with different signs, subtract and include the sign of the bigger number with your answer. 8 + (-3) = 8 minus 3, which is 5. The reason why the answer is 5 and not -5 is because 8 is BIGGER than -3. By the way, you need to memorize the rules of signed numbers because you will see and use them all the time in math. Students who do not take time out to memorize these signs will have a hard time in algebra and beyond. One day, you will get stuff like 8x + (-3x) which of course = 5x. You need to know the rules of signed numbers to solve such questions.
 test/368121: What is the value of the expression { 6(x - y) - 8x when x = -2 and y = 5 } Please Explain How To Solve.1 solutions Answer 262329 by nyc_function(2733)   on 2010-11-08 19:53:21 (Show Source): You can put this solution on YOUR website!Replace x with -2 and y with 5 and then simplify. 6(-2 - 5) - 8(-2) = 6(-7) + 16 = -42 + 16 = -26 Done!
 Expressions-with-variables/368100: how do solve for h if the question is a=2╥rh+2╥rē1 solutions Answer 262326 by nyc_function(2733)   on 2010-11-08 19:49:47 (Show Source): You can put this solution on YOUR website!a = 2╥rh + 2╥r^2 Subtract 2╥r^2 from both sides of the equation. a - 2╥r^2 = 2╥rh To solve for h, divide both sides by 2╥r. (a - 2╥r^2)/2╥r = h Done!
 Expressions-with-variables/368093: -4x+5y+16=0 1 solutions Answer 262318 by nyc_function(2733)   on 2010-11-08 19:32:31 (Show Source): You can put this solution on YOUR website!-4x + 5y + 16 = 0 What do you need to do here? No instructions were given.
 Triangles/368088: volume of a right circular cone,slove for h1 solutions Answer 262316 by nyc_function(2733)   on 2010-11-08 19:25:55 (Show Source): You can put this solution on YOUR website!The volume of a right circular cone is calculated using the following formula: V = 1/3πr^2h. We need to solve for h. To solve for a variable means to isolate the variable. V = 1/3πr^2h We first multiply both sides by 3. After doing so, we get: 3V = πr^2h. We now divide both sides by πr^2 to solve for h. 3V/πr^2 = h Done!
 Linear-equations/368095: My question: graph each line using slope-intercept form 5-y=3/4x This is how far I got: 5-y=3/4x -5 -5 -y=3/4x-5 now this is where im stumped, how do i get rid of the negative on the y?1 solutions Answer 262313 by nyc_function(2733)   on 2010-11-08 19:18:56 (Show Source): You can put this solution on YOUR website!Nice work! Now divide every term by -1. Where is -1? It is indicated by the negative in front of y. In other words, -y means -1 times y. The same is true for any variable. If there is a negative sign in front of a variable, it is considered to be -1 times the variable. Back to your question. -y = (3/4)x - 5 y = (-3/4)x + 5 Copy and paste the link below to see your graph. http://mathway.com/answer.aspx?p=grap?p=ySMB01(-3SMB104)x+5?p=False?p=False?p=True?p=False?p=True