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Recent problems solved by 'stanbon'

stanbon answered: 57171 problems
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 , 2730..2759 , 2760..2789 , 2790..2819 , 2820..2849 , 2850..2879 , 2880..2909 , 2910..2939 , 2940..2969 , 2970..2999 , 3000..3029 , 3030..3059 , 3060..3089 , 3090..3119 , 3120..3149 , 3150..3179 , 3180..3209 , 3210..3239 , 3240..3269 , 3270..3299 , 3300..3329 , 3330..3359 , 3360..3389 , 3390..3419 , 3420..3449 , 3450..3479 , 3480..3509 , 3510..3539 , 3540..3569 , 3570..3599 , 3600..3629 , 3630..3659 , 3660..3689 , 3690..3719 , 3720..3749 , 3750..3779 , 3780..3809 , 3810..3839 , 3840..3869 , 3870..3899 , 3900..3929 , 3930..3959 , 3960..3989 , 3990..4019 , 4020..4049 , 4050..4079 , 4080..4109 , 4110..4139 , 4140..4169 , 4170..4199 , 4200..4229 , 4230..4259 , 4260..4289 , 4290..4319 , 4320..4349 , 4350..4379 , 4380..4409 , 4410..4439 , 4440..4469 , 4470..4499 , 4500..4529 , 4530..4559 , 4560..4589 , 4590..4619 , 4620..4649 , 4650..4679 , 4680..4709 , 4710..4739 , 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56970..56999 , 57000..57029 , 57030..57059 , 57060..57089 , 57090..57119 , 57120..57149 , 57150..57179, >>Next

test/100855: Evaluate the expression x4 -9x2+4x+8 for x=0 (the 4 and 3 are up high to the left of the x and -9) 1 solutions Answer 73419 by stanbon(57239)   on 2007-09-27 14:12:24 (Show Source): You can put this solution on YOUR website! x4 -9x2+4x+8 for x=0 Put 0 in place of x and you end up with = 8 ================== Cheers, Stan H.

test/100858: let f(x)=2x+1 evaluate f as indicated f(5+h) 1 solutions Answer 73418 by stanbon(57239)   on 2007-09-27 14:10:14 (Show Source): You can put this solution on YOUR website! let f(x)=2x+1 evaluate f as indicated f(5+h) ----------- f(5+h) = 2(5+h)+1 = 10+2h+1 =11 + 2h -------------- Cheers, Stan H.

Quadratic_Equations/100859: Please can you help solve: 0.75x²-2.4x+75.Calculate the value of x when h = 73.08 1 solutions Answer 73417 by stanbon(57239)   on 2007-09-27 14:08:32 (Show Source): You can put this solution on YOUR website! h = 0.75x²-2.4x+75.Calculate the value of x when h = 73.08 ----------------------------- 0.75x²-2.4x+75= 73.08 0.75x^2-2.4x+1.92 Multiply thru by 100 to get rid of the decimals: 75x^2 - 240x +192 = 0 x = [240 +- sqrt(240^2-4*75*192)]/150 x = [240 +- 0]/150 x = 8/5 =0.16 ============== Cheers, Stan H.

Expressions-with-variables/100837: Which of the following expressions represents the product of 3 less than twice x and 2 more than the quanity 3 times x? A. -6xsquared + 25x + 6 B. 6xsquared + 5x + 6 C. 6xsquared - 5x + 6 D. 6xsquared - 5x -6 E. 6xsquared - 13x - 6 1 solutions Answer 73412 by stanbon(57239)   on 2007-09-27 12:46:17 (Show Source): You can put this solution on YOUR website! Which of the following expressions represents the product of 3 less than twice x and 2 more than the quanity 3 times x? --------------- (2x-3)(3x+2) = 6x^2-5x-6 ----------------- Cheers, Stan H.

Expressions-with-variables/100833: can someone show how to solve the system by elimination method. Show all steps and check the answer? Thanks! x - 2y = -1 3X + y = 4 1 solutions Answer 73411 by stanbon(57239)   on 2007-09-27 12:43:13 (Show Source): You can put this solution on YOUR website! 1st: x - 2y = -1 2nd: 3x + y = 4 ---------------------- Multiply 2nd thru by 2 to get: 3rd: 6x + 2y = 8 ---------------- Add 1st and 3rd to get: 7x =7 x = 1 ------------- Substitute that into 1st to solve for Y: 1 -2y = -1 2y = 2 y = 1 ------------------ Check the answer in 2nd: 3*1 + 1= 4 3 + 1 = 4 4 = 4 =============== Cheers, Stan H.

Equations/100824: I have the number 25. That was the total after taking 75% off. How do we find the original number? What is the mathematical equation? 1 solutions Answer 73408 by stanbon(57239)   on 2007-09-27 11:53:32 (Show Source): You can put this solution on YOUR website! I have the number 25. That was the total after taking 75% off. How do we find the original number? What is the mathematical equation? --------------- Let the original number be "x". EQUATION: x-0.25x = 25 0.75x = 25 x = 25/0.75 x = 33.3333.... Cheers, Stan H.

Polynomials-and-rational-expressions/100820: The cost in dollars of manufacturing w wing nuts is given by the expression 0.07w + 13.3. Find the cost when 375 wing nuts are made. What is the average cost to manufacture one wing nut? 1 solutions Answer 73406 by stanbon(57239)   on 2007-09-27 11:51:15 (Show Source): You can put this solution on YOUR website! The cost in dollars of manufacturing w wing nuts is given by the expression 0.07w + 13.3. Find the cost when 375 wing nuts are made. What is the average cost to manufacture one wing nut? ---------------------------------- The price of each wing nut is (0.07w+13.3)/w. So the price of 375 nuts is 375[(0.07w+13.3)/w] = (26.25w + 4987.5)/w = (26.25 + (4987.5/w)) ===================== Cheers, Stan H.

Angles/100821: The supplementary angle is 15 degrees less than 4 times the complementary angle. Find the angle. In the office, we have come up with two different solutions: 55 degrees and 39 degrees. Which one is right? 1 solutions Answer 73404 by stanbon(57239)   on 2007-09-27 11:40:20 (Show Source): You can put this solution on YOUR website! The supplementary angle is 15 degrees less than 4 times the complementary angle. Find the angle. --------------- Let the angle be "x". The complement is "90-x" The supplement is "180-x" ------------------ Equation: 180-x = 4(90-x)-15 180-x = 360-4x-15 3x = 165 x = 55 degrees (this is "the angle") ===================== Cheers, Stan H.

Quadratic-relations-and-conic-sections/100822: Find the center of an ellipse with the equation 7(x-2) raised to the 2 + 3(y-2) raised to the 2=21. I have math notes, but I'm having a hard time understanding where the numbers come from. Thanks for your help! 1 solutions Answer 73403 by stanbon(57239)   on 2007-09-27 11:36:07 (Show Source): You can put this solution on YOUR website! Find the center of an ellipse with the equation 7(x-2)^2 + 3(y-2)^2 = 21 ------------------- General Form: (x-h)^2/a^2 + (y-k)^2/b^2 = 1 -------------------------------- Matching that with your problem you see that h=2 and k=2. So the center is at (2,2). =============== Cheers, Stan H.

Polynomials-and-rational-expressions/100771: Use the ac test to determine if the trinomial can be factored. x^2+2y-15 1 solutions Answer 73387 by stanbon(57239)   on 2007-09-27 06:33:53 (Show Source): You can put this solution on YOUR website! Use the ac test to determine if the trinomial can be factored. x^2+2y-15 -------- Find two integers whose product is AC= -15 and whose sum is B=2 ------------------ The numbers are 5 and -3 ------------------------- So the trinomial can be factored using the AC Method. --------------------------- (x+5)(x-3) ------------ Cheers, Stan H.

Linear-equations/100773: In direct variation, is it possible for one variable to get bigger as the other variable decreases? 1 solutions Answer 73386 by stanbon(57239)   on 2007-09-27 06:29:54 (Show Source): You can put this solution on YOUR website! Not if the two variables are directly variable. That would be a contradiction. Cheers, Stan H.

Square-cubic-other-roots/100595: 2T^-4 -5T^-2 +2=0 2T HAS A NEGATIVE EXPONENT OF -4 AND 5T HAS A NEGATIVE EXPONENT OF -2 solve thanks 1 solutions Answer 73373 by stanbon(57239)   on 2007-09-26 23:20:12 (Show Source): You can put this solution on YOUR website! 2T^-4 -5T^-2 +2=0 -------------- Let x = T^-2 You get: 2x^2 - 5x + 2 = 0 (2x-1)(x-2)=0 x = 1/2 or x = 2 ---------------- Therefore: T^-2 = 1/2 or T^-2 = 2 T = (1/2)^(-1/2) or T = 2^(-1/2) T = sqrt2 or T = (sqrt2)/2 ========================= Cheers, Stan H.

Trigonometry-basics/100617: what quadrant identities would cos (theta)>0 and csc(theta)<0 fall into? what is the reciprocal identity of cos(theta) if sec(theta) equals -3? what quadrant would -113.5 fall into? what are all values of theta if the interval is at (0,360) when cot(theta) equals 1? 1 solutions Answer 73372 by stanbon(57239)   on 2007-09-26 23:13:00 (Show Source): You can put this solution on YOUR website! what quadrant identities would cos (theta)>0 and csc(theta)<0 fall into? theta would be in the 4th Quadrant where cos is positive and csc is negative. -------------------------- what is the reciprocal identity of cos(theta) if sec(theta) equals -3? cos(theta) = 1/-3 = -1/3 ----------------------------- what quadrant would -113.5 fall into? If that is degrees the quadrant would be the 3rd -------------------------- what are all values of theta if the interval is at (0,360) when cot(theta) equals 1? theta = 45 degees or 235 degrees ================ Cheers, Stan H.

Angles/100762: This question is from textbook My daughter and I had trouble with this: Five times the compliment of an angle less twice the angles supplement is 40 degrees. Find the measure of te supplement. Please Help! 1 solutions Answer 73369 by stanbon(57239)   on 2007-09-26 23:06:11 (Show Source): You can put this solution on YOUR website! Five times the compliment of an angle less twice the angles supplement is 40 degrees. Find the measure of te supplement. ---------------- Let the angle be "x". The complement is "90-x" The supplement is "180-x" EQUATION:' 5(90-x)-2(180-x)=40 450-5x-360+2x = 40 90-3x = 40 3x = 50 x = 50/3 = 16 2/3 degrees ------------- The supplement = 180 - 16 2/3 = 153 1/3 degrees ===================== Cheers, Stan H.

Quadratic_Equations/100700: describe the resulting graphs by identifying the vertex point, the graphs direction and any axis intercepts gleaned from the table or graphs y = -x + 1 1 solutions Answer 73363 by stanbon(57239)   on 2007-09-26 22:39:53 (Show Source): You can put this solution on YOUR website! describe the resulting graphs by identifying the vertex point, the graphs direction and any axis intercepts gleaned from the table or graphs y = -x + 1 ------------------- That equation graphs as a line; it has no vertex. y-intercept: Let x = 0, then y = 1 is the y-intercept -------------- x-intercept: Let y = 0, then x = 1 is the x-intercept --------------- Cheers, Stan H.

Equations/100754: Solve for y: 3x+2y=12 Is it y=-3x+6 1 solutions Answer 73358 by stanbon(57239)   on 2007-09-26 22:28:31 (Show Source): You can put this solution on YOUR website! Solve for y: 3x+2y=12 ------------- 2y = -3x + 12 y = (-3/2)x + 6 ================== Cheers, Stan H.

Linear-equations/100752: Write the equation of the line passing through each of the given points with the indicated slope. Give your results in slope-intercept form, where possible. Rewrite in standard form. (0,5) m = -3/5 1 solutions Answer 73357 by stanbon(57239)   on 2007-09-26 22:25:47 (Show Source): You can put this solution on YOUR website! Rewrite in standard form. (0,5) m = -3/5 ----------------- You are given the y-intercept as "5" You are given the slope as (-3/5) So, the equation is y = (-3/5)x + 5 ---------- To change to standard form, multiply thru by 5 to get: 5y = -3x + 25 Then 3x+5y=25 is the standard form of the line. ================== Cheers

Expressions-with-variables/100736: This question is from textbook Algebra structure and Method I have tried this with my son 4 times...could you please help! 3s+(-1/2){6+24(-1/3+1/4s)} It's the order of operation in distributing the 30(6+24) or the -1/2 first. Thanks, Kim 1 solutions Answer 73356 by stanbon(57239)   on 2007-09-26 22:21:54 (Show Source): You can put this solution on YOUR website! 3s+(-1/2){6+24(-1/3+1/4s)} = 3s + (-1/2){6-8+6s} = 3s + (-1/2){-2+6s} = 3s + 1 - 3s = 1 ============= cheers, Stan H.

Expressions-with-variables/100750: This question is from textbook Algebra structure and Method I thought I already submitted this but don't see it! Help please as I can't figure out the order of distribution, is it the 30(6+24) or the 1/2?? I have gotten 3 different answers and cannot help my son!! Thanks! Kim 1 solutions Answer 73354 by stanbon(57239)   on 2007-09-26 22:16:14 (Show Source): You can put this solution on YOUR website! 3s+(-1/2){6+24(-1/3+1/4S) You are getting various answers because your posting can be interpreted in several ways. ------------- Please check your book and post the problem exactly as it is printed. Thanks, Stan H.

Expressions-with-variables/100748: This question is from textbook Algebra structure and Method Could you please check this one? -1/20(5Z-4W)-6(-1/30-6/24Z) I get 2/5W..is this correct?? Thanks! 1 solutions Answer 73352 by stanbon(57239)   on 2007-09-26 22:09:12 (Show Source): You can put this solution on YOUR website! -1/20(5Z-4W)-6(-1/30-6/24Z) =(-1/4)Z + (1/5)W + (1/5) + (3/2)Z = (5/4)Z + (1/5)W + (1/5) ======================= Cheers, Stan H.

Equations/100737: I am trying to help my son with Equations, but I don't know how my self. Can you help?> x+2x+5=x+19 1 solutions Answer 73346 by stanbon(57239)   on 2007-09-26 21:53:13 (Show Source): You can put this solution on YOUR website! x+2x+5=x+19 Just think of the "x" as "car" ----------------- You have car + 2 cars + 5 = car + 19 ----------- Substract a car from both sides to get 2cars + 5 = 19 Subtract 5 from both sides to get: 2cars = 14 Divide both sides by 2 to get: car = 7 ---------------- the same procedure would get you x = 7 =========================== Cheers, Stan H.

Graphs/100729: Solve by substitution,state whether it is independent,inconsistent,or dependent.; x - y = 3 3x -2y = 3 1 solutions Answer 73340 by stanbon(57239)   on 2007-09-26 21:46:03 (Show Source): You can put this solution on YOUR website! 1st: x - y = 3 2nd: 3x -2y = 3 ------------- Multiply 1st by 3 to get: 3rd: 3x - 3y = 9 -------------------- Subtract 2nd from 3rd to get: -y = 6 y = -6 -------------- Substitute into 1st to solve for "x" x -(-6) = 3 x+6 = 3 x = -3 ---------------- Check the answer in 2nd: 3(-3) - 2(-6) = 3 -9 +12 = 3 3 = 3 ----------------- The system is consistent. ======================== Cheers, Stan H.

Equations/100730: Write the equation of the line L satisfying the given geometric conditions. L has y-intercept (0,-3) and is parallel to the line with equation y=2/3x+1 1 solutions Answer 73337 by stanbon(57239)   on 2007-09-26 21:40:22 (Show Source): You can put this solution on YOUR website! Write the equation of the line L satisfying the given geometric conditions. L has y-intercept (0,-3) and is parallel to the line with equation y=2/3x+1 --------------------------- If it is parallel to y = (2/3)x+1, its slope is (2/3) ----------------- So the equation is y = (2/3)x - 3 ============ Cheers, Stan H.

Linear_Equations_And_Systems_Word_Problems/100718: This question is from textbook Algebra and Trigonometry Find the measures of the angles of an isosceles triangle if the measure of the vertex angle is 40 degrees less than the sum of the measures of the base angles. I don't know how to set this problem up with two different linear equations, I think I got the first one and it's (x+x)-40=180...but I'm not very sure. I need help setting this problem up. 1 solutions Answer 73331 by stanbon(57239)   on 2007-09-26 21:24:51 (Show Source): You can put this solution on YOUR website! Find the measures of the angles of an isosceles triangle if the measure of the vertex angle is 40 degrees less than the sum of the measures of the base angles. --------------------- Let the equal base angles each have measure "x" 1st: vertex = 2x-40 2nd: vertex + 2x = 180 --------------------- 2nd: vertex = 180-2x Substitute in 1st to get: 180-2x = 2x - 40 220 = 4x x = 55 ---------------- So the vertex is 2*55-40 = 70 Each base angle = 55 =============== Cheers, Stan H.

Functions/100714: Find the domain and range f(x)= 2- x^2 1 solutions Answer 73321 by stanbon(57239)   on 2007-09-26 20:51:22 (Show Source): You can put this solution on YOUR website! Find the domain and range f(x)= 2- x^2 Domain: all Real Numbers Range : Since x^2 >=0 2-x^2 <=2 So, Range is "all Real Numbers <= 2" =============================== Cheers, Stan H.

Quadratic_Equations/100707: I would love some help on this one. Particularly the graphing. Solve the following quadratic equations. Make sure to show all your work. Do not use any method (e.g., factoring, completing the square, quadratic formula, graphing) more than twice. Use the graphing method at least once. 1. 3x2 + 11x – 20 = 0 2. x2 + 3x – 4 = 0 3. 3x2 – x – 1 = 0 1 solutions Answer 73315 by stanbon(57239)   on 2007-09-26 20:40:25 (Show Source): You can put this solution on YOUR website! Do not use any method (e.g., factoring, completing the square, quadratic formula, graphing) more than twice. Use the graphing method at least once. 1. 3x^2 + 11x – 20 = 0 Factor: = 3x^2+15x-4x-20 = 3x(x+5)-4(x+5) = (x+5)(3x-4) ============================= 2. x^2 + 3x – 4 = 0 Complete the square: x^2+3x+(3/2)^2 = 4 + (3/2)^2 (x+(3/2))^2 = 25/4 x+(3/2) = 5/2 or x+(3/2)=-5/2 x=1 or x = 4 ===================================== 3. 3x^2 – x – 1 = 0 Graphing: ==================================== Cheers, Stan H.

Finance/100701: x/y=5/9 1 solutions Answer 73306 by stanbon(57239)   on 2007-09-26 20:18:24 (Show Source): You can put this solution on YOUR website! x/y=5/9 ========== Invert both sides to get: y/x = 9/5 y = (9/5)x ===================================== Cheers, Stan H.

Quadratic_Equations/100694: For each equation find teh x - intercept y = x^2 + x - 6 1 solutions Answer 73303 by stanbon(57239)   on 2007-09-26 20:09:48 (Show Source): You can put this solution on YOUR website! For each equation find teh x - intercept y = x^2 + x - 6 ------------- To find the x-intercept let y = zero: x^2+x-6 = 0 Factor to get: (x+3)(x-2) = 0 Since the product is zero one of the factors must be zero: x+3=0 or x-2=0 x=-3 or x=2 ====================== Cheers, Stan H.

Numeric_Fractions/100690: This question is from textbook intergrated mathematics ok i am having a lil trouble with this cause i dont get this but here is that question use the distributive property to rewrite each expression without pareenthese. 16. 2(1+w)???? i do not get that 1 solutions Answer 73298 by stanbon(57239)   on 2007-09-26 20:03:59 (Show Source): You can put this solution on YOUR website! 2(1+w) = 2*1 + 2*w = 2 + 2w ============================== Cheers, Stan H.

Inverses/100691: when you are dividing a negative and a positve is the quitent a negetive or a positive 1 solutions Answer 73297 by stanbon(57239)   on 2007-09-26 20:00:01 (Show Source): You can put this solution on YOUR website! negative divided by positive = negative --------------- positive divided by negative = negative ------------------ positive divided by positive = positive --------------- negative divided by negative = positive ======================== Cheers, Stan H.

Complex_Numbers/100681: This question is from textbook algebra and trigonometry Larson hostetler -2(x^2 - 3)^-3(2x)(x + 1)^3 - 3(x + 1)^2(x^2 - 3)^-2 ______________________________________________________ [(x + 1)^3]^2 how do i simplify this expression? so far, i got: (x^2 - 3)^-3[(x^2 - 3)^1 - 2(2x)(x + 1)^2] ___________________________________________ [(x + 1)^3]^2 (x^2 - 3)^-3[(x^2 - 3) - 4x] ______________________________ (x + 1)^3 1 solutions Answer 73285 by stanbon(57239)   on 2007-09-26 19:33:52 (Show Source): You can put this solution on YOUR website! [(x + 1)^3]^2 =(x+1)^6 = x^6 + 6C5x^5 + 6C4x^4 + 6C3x^3 + 6C2x^2 + 6C1x + 1 = x^6 + 6x^5 + 15x^4 + 20x^3 + 15x^2 + 6x + 1 ===================== Cheers, Stan H.