Algebra ->  Tutoring on algebra.com -> See tutors' answers!      Log On

 Tutoring Home For Students Tools for Tutors Our Tutors Register Recently Solved
 By Tutor
| By Problem Number |

Tutor:

# Recent problems solved by 'nyc_function'

Jump to solutions: 0..29 , 30..59 , 60..89 , 90..119 , 120..149 , 150..179 , 180..209 , 210..239 , 240..269 , 270..299 , 300..329 , 330..359 , 360..389 , 390..419 , 420..449 , 450..479 , 480..509 , 510..539 , 540..569 , 570..599 , 600..629 , 630..659 , 660..689 , 690..719 , 720..749 , 750..779 , 780..809 , 810..839 , 840..869 , 870..899 , 900..929 , 930..959 , 960..989 , 990..1019 , 1020..1049 , 1050..1079 , 1080..1109 , 1110..1139 , 1140..1169 , 1170..1199 , 1200..1229 , 1230..1259 , 1260..1289 , 1290..1319 , 1320..1349 , 1350..1379 , 1380..1409 , 1410..1439 , 1440..1469 , 1470..1499 , 1500..1529 , 1530..1559 , 1560..1589 , 1590..1619 , 1620..1649 , 1650..1679 , 1680..1709 , 1710..1739 , 1740..1769 , 1770..1799 , 1800..1829 , 1830..1859 , 1860..1889 , 1890..1919 , 1920..1949 , 1950..1979 , 1980..2009 , 2010..2039 , 2040..2069 , 2070..2099 , 2100..2129 , 2130..2159 , 2160..2189 , 2190..2219 , 2220..2249 , 2250..2279 , 2280..2309 , 2310..2339 , 2340..2369 , 2370..2399 , 2400..2429 , 2430..2459 , 2460..2489 , 2490..2519 , 2520..2549 , 2550..2579 , 2580..2609 , 2610..2639 , 2640..2669 , 2670..2699 , 2700..2729, >>Next

 Radicals/303098: 2 square root 1-3x-square root x+17=01 solutions Answer 217299 by nyc_function(2733)   on 2010-05-11 11:57:46 (Show Source): You can put this solution on YOUR website!Add sqrt{x + 17} to both sides. We now have 2(sqrt{1 - 3x}) = sqrt{x + 17}. We now square both sides to remove the radicals. [2(sqrt{1 - 3x})]^2 = [sqrt{x + 17}]^2. After doing the math on paper, I got x = -1 as the answer. How do we know if this is right? Replace every x that you see in the original radical equation given and simplify. If you get the same answer on both sides of the equation, then you will know for sure. I did excatly that and found out that x does = -1.
 Trigonometry-basics/303196: The pyramid is 146.5 m high. When Rowena stands far away from the pyramid, her line of sight to the top of the pyramid forms an angle of elevation of 20 degrees with the ground. What is the horizontal distance between the center of the pyramid and Rowena? Thanks for your help. 1 solutions Answer 217298 by nyc_function(2733)   on 2010-05-11 11:44:57 (Show Source): You can put this solution on YOUR website!The horizontal distance between the center of the pyramid and Rowena is the same distance from the base of the pyramid to the where she is standing. The tanget function tells us that in a right triangle the fraction formed is opposite divided by adjacent. We use the tangent function to find our distance. Let x = horizontal distance between the center of the pyramid and Rowena. tan(20) = 146.5/x x(tan(20)) = 146.5 x = 146.5/tan(20) x is about 402.51 meters.
 Quadratic_Equations/303194: x4+1/x4=? if x=1/(8+sqrt(11))1 solutions Answer 217296 by nyc_function(2733)   on 2010-05-11 11:35:33 (Show Source): You can put this solution on YOUR website!Replace x with 1/8(sqrt{11}) and then simplify the complex fraction. [1/8(sqrt{11})]^4 + 1/[1/8(sqrt{11})]^4 = I'm sure you can do it now.
 Systems-of-equations/303181: What are the integral roots of x^2-7x-8=o?1 solutions Answer 217294 by nyc_function(2733)   on 2010-05-11 11:33:06 (Show Source): You can put this solution on YOUR website!What two numbers when multiplied together will yield -8 but when added will yield -7? How about -8 and 1? Then x^2 - 7x - 8 = 0 factors out to be (x + 1)(x - 8). Now set each factor to equal zero and solve for x. x + 1 = 0 x = -1. x - 8 = 0 x = 8 The roots are x = -1 and x = 8. Originally, I thought this was a calculus question after reading the word INTEGRAL in the sentence.
 Quadratic_Equations/303189: A garden is currently 4 m wide and 7 m long. If the area of the garden is doubled by increasing the width and length by the same number of meters, find the new dimensions of the garden.1 solutions Answer 217289 by nyc_function(2733)   on 2010-05-11 11:26:05 (Show Source): You can put this solution on YOUR website!The area of the original garden is A = 7 * 4 or 28m^2. The length and width is increased by the same amount of meters. Let x = meter amount we want We are also told the area is doubled when we add this unknown number to the length and width. So, 28 * 2 = 56. 56 = (x + 7)(x + 4) 56 = x^2 + 11x + 28 0 = x^2 + 11x + 28 - 56 0 = x^2 + 11x - 28 All you have to do is factor this quadratic equation using the quadratic formula. When you find x, add your value of x to the length (x + 7) and the width (x + 4). Can you finish now?
 Polynomials-and-rational-expressions/303190: What is the factor of 16a+4b1 solutions Answer 217283 by nyc_function(2733)   on 2010-05-11 11:13:31 (Show Source): You can put this solution on YOUR website!The greatest common factor of 16a + 4b is 4 because 4 evenly divides each term of your binomial.
 Trigonometry-basics/303183: use synthetic substitution to find the value of f(-2) for f(x)= x^3-3x^2-x-91 solutions Answer 217282 by nyc_function(2733)   on 2010-05-11 11:11:55 (Show Source): You can put this solution on YOUR website!Replace x with -2 and simplify. f(-2) = (-2)^3 -3(-2)^2 - (-2) - 9 Can you finish now?
 Triangles/303185: abc has side lengths of 8in, 8 inch and 6 inches what type of symmetry is it?1 solutions Answer 217280 by nyc_function(2733)   on 2010-05-11 11:09:05 (Show Source): You can put this solution on YOUR website!This is an isosceles triangle. The line containing the bisector of the vertex angle of an isosceles triangle is a symmetry line for the triangle. In an isosceles triangle, the bisector of the vertex angle, the perpendicular bisector of the base, and the median to the base determine the same line. If a triangle has two congruent sides, then the angles opposite them are congruent.
 Numeric_Fractions/303186: Adding two fractions: x+3/x2(x squared)-16 + 2x-1/(x+3)(x-4)1 solutions Answer 217278 by nyc_function(2733)   on 2010-05-11 11:01:55 (Show Source): You can put this solution on YOUR website!Just add the fractions just like adding regular fractions. [(x + 3)/x^2] - 16 + [(2x - 1)/(x + 3)(x - 4)] = HINT: The LCD = x^2 *(x + 3)(x - 4) Now multiply each term by the LCD to remove the fractions. NOTE: -16 is actually a fraction in the form -16/1. Can you do it now?
 Probability-and-statistics/301566: Solve. How many two-letter permutations can be made from the letters L, M, N, O, and P?1 solutions Answer 216251 by nyc_function(2733)   on 2010-05-06 23:43:40 (Show Source): You can put this solution on YOUR website!A permutation is the choice of r things from a set of n things without replacement and where the order matters. nPr = n!/(n - r)! 5P2 = 5!/(5 - 2)! 5P2 = 120/(3!) 5P2 = 120/6 5P2 = 20
 Money_Word_Problems/301588: Suppose that \$4000 is invested at an interest rate of 5.5% per year, compounded continuously. what is the balance after 8 years?1 solutions Answer 216250 by nyc_function(2733)   on 2010-05-06 23:37:46 (Show Source): You can put this solution on YOUR website!We use A = Pe^(rt). A = 4000e^(0.055 * 8) Can you solve for A now?
 Functions/301562: If f(x)=1/x^2, what is the domain of f(x)?1 solutions Answer 216249 by nyc_function(2733)   on 2010-05-06 23:32:55 (Show Source): You can put this solution on YOUR website!The domain will be ALL REAL NUMBERS except for zero. A fraction cannot have zero in the denominator because division by zero does not exist.
 Polynomials-and-rational-expressions/301524: The two legs of a right triangle (ABC) are consecutive even integers. The area of it is . Find the lengths of the 2 legs. Use a polynomial equation.1 solutions Answer 216247 by nyc_function(2733)   on 2010-05-06 23:20:04 (Show Source): You can put this solution on YOUR website!Let x = first integer Let x + 2 = second integer The area of a triangle can be found using A = (1/2)*b*h. 12 = (1/2)(x)(x + 2) Can you finish now?
 Polynomials-and-rational-expressions/301574: 2m-5 ---- 6m-151 solutions Answer 216243 by nyc_function(2733)   on 2010-05-06 23:15:38 (Show Source): You can put this solution on YOUR website!(2m - 5)/(6m - 15) = Factor denominator as step one. The denominator becomes 3(2m - 5). We now have the fraction: (2m - 5)/3(2m - 5). Cancel out the common quantity that appears on the top and bottom. In other words, cancel (2m - 5) on the top and bottom. The final answer is 1/3.
 Travel_Word_Problems/301598: A car travels a distance of 100 km in 2.00 hours. It then travels an additional distance of 60.0 km in 1.00 hour. The average speed of the car for the entire trip is1 solutions Answer 216240 by nyc_function(2733)   on 2010-05-06 23:10:19 (Show Source): You can put this solution on YOUR website! average speed = distance traveled divided by elapsed time. A = d/t A = 100/2 A = 50 Let T = total average speed for whole trip T = (50) + (60)/1 Can you finish now?
 Polynomials-and-rational-expressions/301530: A marching leader wants to arrange his marchers into a formation where the number of rows would be 6 mire than the number of men in each row. If there are 55 men in the team, can he have them march in that formation? Use a polynomial equation.1 solutions Answer 216229 by nyc_function(2733)   on 2010-05-06 22:48:48 (Show Source): You can put this solution on YOUR website!Let r = rows Let m = men r = m + 6 r + m = 55 Can you finish now?
 Problems-with-consecutive-odd-even-integers/301591: The product of two positive consecutive integers is 41 more than their sum. Find the integers. 1 solutions Answer 216228 by nyc_function(2733)   on 2010-05-06 22:45:26 (Show Source): You can put this solution on YOUR website!Let x = first integer Let x + 1 = second integer x(x + 1) = x + (x + 1) + 41 Can you find the integers now?
 logarithm/301594: Choose the expression or equation that is equivalent to the one given. Put in log form. 8x = 3 1 solutions Answer 216227 by nyc_function(2733)   on 2010-05-06 22:42:13 (Show Source): You can put this solution on YOUR website!I think you meant to type: 8^x = 3, where x is the exponent. x = log(base 8)(3)
 Percentage-and-ratio-word-problems/301584: A leather jacket originally costs \$150. If it goes on sale for 1/3 off, how much will the customer save? 1 solutions Answer 216224 by nyc_function(2733)   on 2010-05-06 22:30:26 (Show Source): You can put this solution on YOUR website!The price is \$150. 1/3 = 0.33 written as a decimal. Let s = how much the customer will save if the jacket goes on sale. s = 150 times 0.33 Can you solve for s now?
 Equations/301583: What Is The Answer To This Question Cause The Teacher Think's I Am Wrong. Here Is The Question: -4(-6p+7) 1 solutions Answer 216223 by nyc_function(2733)   on 2010-05-06 22:28:35 (Show Source): You can put this solution on YOUR website!-4(-6p + 7) = Using the distributive rule we get: 24p - 28
 Square-cubic-other-roots/301586: (√3x+10)= x solve for x1 solutions Answer 216222 by nyc_function(2733)   on 2010-05-06 22:25:31 (Show Source): You can put this solution on YOUR website!To answer your question, I can help you with math questions that you do not understand but only send one question per day except for the weekend. I work all weekend long. nycfunction@yahoo.com
 Quadratic_Equations/301587: Right now we are solving these Quadratic Equations with the zero factor property. The problem is a word problem: If the cost, C, for maunufactoring x units of a certain product is given by find the number of units maufactored at a cost of \$12,640. I already started the problem by solving for x and rewriting the equation in standard form: that is my ending result, I now have to factor the quadratic expression but I am stuck, I use the "diamond method" to help me factor- I need to know what two numbers have the product of -12600 and have the sum of -15. I can solve the rest of the problem after You help me find those two numbers.1 solutions Answer 216220 by nyc_function(2733)   on 2010-05-06 22:22:24 (Show Source): You can put this solution on YOUR website!How about using the quadratic formula? It works every time. In the quadratic formula, let a = 1, b = -15 and c = -12,600. Then plug and chug.
 Trigonometry-basics/301577: in right triangle ABC, AB=20, AC=12, BC=16, and the measurement of angle c=90 degrees . find the measure of angle A.1 solutions Answer 216219 by nyc_function(2733)   on 2010-05-06 22:17:20 (Show Source): You can put this solution on YOUR website!To find angle A, you can use either of the following: sin(x) = 16/20 or cos(x) = 12/20 In any case, I got angle A = 53.13 degrees.
 logarithm/301579: Approximately one-half of all glass bottles distributed will be recycled each yesr, A beverage company distributes 310,000 bottles. The number still in use after t years is given by the function N(t) = 310,000(1/2)^t. After how many years will 5,000 bottles still be in use?1 solutions Answer 216217 by nyc_function(2733)   on 2010-05-06 22:04:31 (Show Source): You can put this solution on YOUR website!Let N(t) = 5,000 and solve for t. 5,000 = 310,000(1/2)^(t)
 Triangles/301121: Two of the angle measures of an obtuse triangle are congruent. The third angle meauses 120 degrees. What does one of the other angles measure?1 solutions Answer 215930 by nyc_function(2733)   on 2010-05-05 20:49:03 (Show Source): You can put this solution on YOUR website!The sum of the angles of a triangle is 180 degrees. Let x = the two angles in this triangle which are congruent. x + x + 120 = 180 2x + 120 = 180 2x = 180 - 120 2x = 60 x = 60/2 x = 30 Each of the other two angles measures 30 degrees. Here is the proof: Let x = 30 30 + 30 + 120 = 180 60 + 120 = 180 180 = 180...It checks!
 Linear_Equations_And_Systems_Word_Problems/301109: A theater has 650 seats. After one sell-out performance, the theater made \$11,600. If orchestra seats cost \$20 each and balcony seats cost \$12, how many orchestra and balcony seats are there in the theater?1 solutions Answer 215928 by nyc_function(2733)   on 2010-05-05 20:46:14 (Show Source): You can put this solution on YOUR website!Let x = orchestra seats Let y = balcony seats We have a system of linear equations in two variables. Here is the set up and you can then work out the math: x + y = 650 20x + 12y = 11,600
 Quadratic_Equations/301116: graph the following exponential function: F(x)= 2^x+3 when x= 0,1,2,3,4,-1,-2,-3,-4 also solve the equation 1/27=3^2*x1 solutions Answer 215926 by nyc_function(2733)   on 2010-05-05 20:44:06 (Show Source): You can put this solution on YOUR website!For the first question, replace x in your function with every value given for x and then simplify the expression. Can you do it now? For question 2, is the exponent of 3 on the right side (2x) or simply 2? Get back to me before I can help you here.
 Geometric_formulas/301113: The area of a square garedn is 242 m^2. How long is the diagonal?1 solutions Answer 215922 by nyc_function(2733)   on 2010-05-05 20:40:27 (Show Source): You can put this solution on YOUR website!Let s = side of square. Area = side^2 242 = side^2 sqrt{242} = side We now use the Pythagorean Theorem. [sqrt{242}]^2 + [sqrt{242}]^2 = d^2 Let d = diagonal. 242 + 242 = d^2 484 = d^2 sqrt{484} = sqrt{d^2} 22 = d Your diagonal is 22.
 Equations/301114: My son brought home a few 6th grade algebra problems and I can not remember how to work them. He does not have his book...so please help if you can. I'm not even sure what this is called (been a long time for me). Here's one problem: 5(2a-1b+3a). Thank you for considering.1 solutions Answer 215912 by nyc_function(2733)   on 2010-05-05 20:34:31 (Show Source): You can put this solution on YOUR website!Just use the distributive law. In other words, multiply 5 by every term inside the parentheses. 5(2a - 1b + 3a) = 10a - 5b + 15a We now combine like terms. Final Answer: 25a - 5b NOTE: There is no reason to place a 1 in front of any variable. For example, the middle term in the parentheses given to your son 1b can also be written as b. Both terms mean the same thing.
 Square-cubic-other-roots/300840: 2sqrt3(sqrt3+1)1 solutions Answer 215787 by nyc_function(2733)   on 2010-05-05 12:29:46 (Show Source): You can put this solution on YOUR website!2sqrt{3} times (sqrt{3} + 1}. Use the distributive rule. 2sqrt{3} times sqrt{3} = 2(3) = 6. 2sqrt{3} times 1 = 2sqrt{3}. Final answer: 2sqrt{3} + 6.
 Parallelograms/300842: HIJK IS A SQUARE, if m1 solutions Answer 215786 by nyc_function(2733)   on 2010-05-05 12:24:49 (Show Source): You can put this solution on YOUR website!Draw a line from Z perpendicular on KJ. This will give you a triangle with one angle of 90 degrees and the other 1.5*(4*x-10). Using trigonometry, you find that |KJ| divided by 2|KZ|= sin(1.5*(4*x-10))/ This is all I can tell you now since I don't think you gave me the entire question. There is something missing here.