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Recent problems solved by 'stanbon'

stanbon answered: 57222 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 , 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56970..56999 , 57000..57029 , 57030..57059 , 57060..57089 , 57090..57119 , 57120..57149 , 57150..57179 , 57180..57209 , 57210..57239, >>Next

Coordinate-system/514401: Determine whether or not the equation has a circle in it's graph 4x^2+4y^2-24x-40y+36=0 1 solutions Answer 343406 by stanbon(57290)   on 2011-10-13 12:10:22 (Show Source): You can put this solution on YOUR website! Determine whether or not the equation has a circle in it's graph 4x^2+4y^2-24x-40y+36=0 ---- Divide thru by 4 to get: x^2-6x + y^2-10y = -36 --- Complete the square on the x and on the y terms: x^2-6x+9 + y^2-10y+25 = -36+9+25 ----- (x-3)^2 + (y-5)^2 = -2 ----- Not a circle because radius would be sqrt(-2) = i*sqrt(2) =========================================================== Cheers, Stan H. =========

Graphs/514405: Please help me solve this Allen uses a slingshot to shoot a marble from a window. The height of the marble h(t) in feet at time (t) seconds is given by h(t)=-16t^2-62t+188. How many seconds elapse before the marble hits the ground? Thank you. 1 solutions Answer 343403 by stanbon(57290)   on 2011-10-13 12:04:45 (Show Source): You can put this solution on YOUR website! h(t)=-16t^2-62t+188. How many seconds elapse before the marble hits the ground? ----------------- Solve -16t^2-62t+188 = 0 --- -8t^2-31t+94 = 0 --- t = 2 seconds ================= Cheers, Stan H.

Equations/514406: 8m + 7 + m = 16 can you please show me how to do this problem please? 1 solutions Answer 343400 by stanbon(57290)   on 2011-10-13 12:00:07 (Show Source): You can put this solution on YOUR website! 8m + 7 + m = 16 can you please show me how to do this problem please? ------ 9m + 7 = 16 9m = 9 m = 1 =============== Cheers, Stan H. ===============

Circles/514404: What is the diameter of the following circle: (x + 4)2 + (y – 9)2 = 18 1 solutions Answer 343399 by stanbon(57290)   on 2011-10-13 11:58:09 (Show Source): You can put this solution on YOUR website! What is the diameter of the following circle: (x + 4)^2 + (y – 9)^2 = 18 ----- radius = sqrt(18) = 3*sqrt(2) ---- diameter = 2(3sqrt(2)) = 6sqrt(2) =================================== Cheers, Stan H. =============

Graphs/514379: Can somebody help me understand this.Thank you. Write in a scientific notation: 0.000344 1 solutions Answer 343395 by stanbon(57290)   on 2011-10-13 11:17:35 (Show Source): You can put this solution on YOUR website! Write in a scientific notation: 0.000344 = 3.44x10^-4 ========================= Cheers, Stan H. ==========

Graphs/514381: explain why the following system has no solution as it solution set. y = 3x + 2 y = 3x – 4 1 solutions Answer 343393 by stanbon(57290)   on 2011-10-13 11:14:46 (Show Source): You can put this solution on YOUR website! explain why the following system has no solution as it solution set. y = 3x + 2 y = 3x – 4 ------------ Both equations have the same slope: 3 The lines are parallel. They have no common point (x,y) ============== Cheers, Stan H.

Linear-equations/514380: PLease help I do not know how to even begin to attempt to solve this. Expand the binomial (k-3)^3 1 solutions Answer 343392 by stanbon(57290)   on 2011-10-13 11:13:03 (Show Source): You can put this solution on YOUR website! Expand the binomial (k-3)^3 --- = 3C0*k^3 + 3C1*k^2(-3)^1 + 3C2k(-3)^2 + 3C3*(-3)^3 ----- = k^3 + 3k^2(-3) + 3k(9) + (-27) --- = k^3 -9k^2 + 27k - 27 ============================= Cheers, stan H. ============

Signed-numbers/514338: I am using a sample problem for you to help me with so I can get the concept on how to work the problem. Translate this to a mathematical equation and solve. A football team gained 13 yards on one play, lost 5 yards on another, and gained 18 yards on the last play of the first half. They had already gained 218 yards during the half. What was the total yardage gain for the first half? 1 solutions Answer 343391 by stanbon(57290)   on 2011-10-13 10:56:04 (Show Source): You can put this solution on YOUR website! A football team gained 13 yards on one play, lost 5 yards on another, and gained 18 yards on the last play of the first half. They had already gained 218 yards during the half. What was the total yardage gain for the first half? -------------------------- Ans: 218 + 13 - 5 + 18 = 218+31-5 = 218 + 26 = 244 yards gained ============== Cheers, Stan H. =============

Rational-functions/514348: Please help me. I don't get the concept. "which points lie on the graph of the plane x + y -z = 15" A. (5,10,0) B. (20,5,10) c. (5,5,5) d. (10,3,-2) Write three more points on the graph of the plane. ______________ _____________ ____________ 1 solutions Answer 343388 by stanbon(57290)   on 2011-10-13 10:22:47 (Show Source): You can put this solution on YOUR website! "which points lie on the graph of the plane x + y -z = 15" A. (5,10,0) Substitute x = 5 ; y = 10 ; z = 0 to see if you get a true equality: 5 + 10 - 0 = 15 true So, that point lies on the graph of that plane. ================================================ Do the same for "B" and for "C". B. (20,5,10) c. (5,5,5) d. (10,3,-2) ================================================ Write three more points on the graph of the plane. Let x be any number Let y be any number Then solve for "z" Example Let x = 2 ; Let y = -1 2 + (-1) -z = 15 1 - z = 15 z = -14 Point: (2,-1,-14) will be on the graph of the plane. ========================================== Cheers, Stan H. ====================

Signed-numbers/514349: Which mixed number is equivalent to the improper fraction? 41/7 1 solutions Answer 343387 by stanbon(57290)   on 2011-10-13 10:16:17 (Show Source): You can put this solution on YOUR website! Which mixed number is equivalent to the improper fraction? 41/7 = (35/7)+(6/7) = 5 6/7 =============================== Cheers, Stan H. ==========

Linear_Equations_And_Systems_Word_Problems/514342: a projectile is fired upward with a velocity of 860 ft/sec from a height of 7ft above the ground.Determine the function of the hightof the projectile t after it is release. How long will it take to reach a height of 100ft up. How long will it it stay in the air. 1 solutions Answer 343386 by stanbon(57290)   on 2011-10-13 10:14:41 (Show Source): You can put this solution on YOUR website! a projectile is fired upward with a velocity of 860 ft/sec from a height of 7ft above the ground.Determine the function of the hightof the projectile t after it is release. How long will it take to reach a height of 100ft up. How long will it it stay in the air. --- Height formula wrt time in seconds h(t) = -16t^2+vo(t)+s(o) --- h(t) = -16t^2 + 860t + 7 ----- Time for height = 100 ft. -16t^2+860t+7 = 100 --- -16t^2+860t-93 = 0 t = 0.1084 seconds on the way up or t = 53.64 seconds on the way down =================== How long will it it stay in the air. Solve -16t^2 + 860t + 7 = 0 t = 53.76 seconds ========================= Cheers, Stan H. ================

Equations/514340: If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together? How do I set this up to solve it? 1 solutions Answer 343385 by stanbon(57290)   on 2011-10-13 10:05:47 (Show Source): You can put this solution on YOUR website! If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together? --- Sally rate = 1/4 job/hr John rate = 1/6 job/hr -- Together rate: 1/x job/hr ============================= Equation: rate + rate + together rate 1/4 + 1/6 = 1/x Multiply thru by 12x: 3x + 2x = 12 5x = 12 x = 2.4 hr = 2hr 24 min (time to do the job together) ------------------- Cheers, Stan H.

Miscellaneous_Word_Problems/514290: A ferris wheel has a diameter of 320 feet and the bottom of the Ferris wheel is 9 feet above the ground. Find the equation of the wheel if the origin is placed on the ground directly below the center of the wheel, as illustrated. 1 solutions Answer 343378 by stanbon(57290)   on 2011-10-13 08:31:06 (Show Source): You can put this solution on YOUR website! A ferris wheel has a diameter of 320 feet and the bottom of the Ferris wheel is 9 feet above the ground. Find the equation of the wheel if the origin is placed on the ground directly below the center of the wheel, as illustrated. --- radius = 160 center is at (0,169) ---- Equation: x^2 + (y-169)^2 = 160^2 ========================== Cheers, Stan H. ===============

Functions/514310: Take a look at the following table: X -2,-1,0,1,2 f(x)-5,-2,1,4,7 a. Write out an equation for f(x). Assume the function is linear. b. What is the slope? Is it negative or positive? What information do we get from the slope? 1 solutions Answer 343377 by stanbon(57290)   on 2011-10-13 08:24:59 (Show Source): You can put this solution on YOUR website! X -2,-1,0,1,2 f(x)-5,-2,1,4,7 --- slope: Notice that when x increases by 1, y increases by 3 intercept: Notice that when x is 0, y = 1 --------------------------------------------------- a. Write out an equation for f(x). Assume the function is linear. f(x) = 3x+1 ---------------- b. What is the slope?:: 3 ----- Is it negative or positive?:: positive ----- What information do we get from the slope? As x increases by 1, y increases by 3 ======================================== Cheers, Stan H. ============= ------------------

Length-and-distance/514292: two cars started from the same point and traveling in opposite direction.one traveld at the half the speed of the other.After 5 hours they were 600 km apart.What is the sepeed of the faster car? 1 solutions Answer 343375 by stanbon(57290)   on 2011-10-13 08:18:49 (Show Source): You can put this solution on YOUR website! Two cars started from the same point and traveled in opposite directions. One traveled at half the speed of the other. After 5 hours they were 600 km apart. What is the speed of the faster car? ------ Slow car DATA: rate = r ; time = 5 hrs ; distance = r*t = 5r km --- Fast car DATA: rate = 2r ; time = 5 hrs ; distance = 2r*5 km --- Equation: distance + distance = 600 km 5r + 10r = 600 15r = 600 r = 40 km/hr (speed of the sloper car) ======================================== Cheers, Stan H. ===========

Functions/514287: Find the domain of the function given by g(x) = 1 solutions Answer 343371 by stanbon(57290)   on 2011-10-13 07:28:46 (Show Source): You can put this solution on YOUR website! Find the domain of the function given by g(x) = sqrt(x-2} ---- x-2 cannot negative. --- Solve x-2 >= 0 x >= 2 ----- Domain: All Real Numbers greater than or equal to 2. ====================== Cheers, Stan H.

Probability-and-statistics/514255: one in four americans own stock, in a random sample of ten people, what is the probability that the number owning individual stocks is? Exactly 2=0.0282 (???) At most two? More than two?=0.718 (???) 1 solutions Answer 343367 by stanbon(57290)   on 2011-10-13 07:00:24 (Show Source): You can put this solution on YOUR website! one in four americans own stock, in a random sample of ten people, what is the probability that the number owning individual stocks is? ----- Binomial Problem with n = 10 and p = 0.25 ---- I used a TI-84 calculator to get the following answers. -------------------------- Exactly 2 = 0.2816 At most 2 = binomcdf(10,0.25,2) = 0.5256 More than 2 = 1 - 0.5256 = 0.4744 ====================================== Cheers, Stan H.

Mixture_Word_Problems/514268: can you make 50 mL of a 35% acid solution with 32 mL of a 45% solution and 18 mL of a 15% solution? explain 1 solutions Answer 343366 by stanbon(57290)   on 2011-10-13 06:50:49 (Show Source): You can put this solution on YOUR website! can you make 50 mL of a 35% acid solution with 32 mL of a 45% solution and 18 mL of a 15% solution? explain ----- Equation: 0.45*32 + 0.15*18 ? 0.35*50 --- Multiply thru by 100 to get: 45*32 + 15*18 ? 35*50 ---- 1440 + 270 ?? 1750 1710 ?? 1750 =================== Answer: No ======================= Cheers, Stan H.

Quadratic_Equations/514272: a mother is 60 years old and her child is 24 years old. when in the past was the product of their age 160? 1 solutions Answer 343364 by stanbon(57290)   on 2011-10-13 06:45:55 (Show Source): You can put this solution on YOUR website! a mother is 60 years old and her child is 24 years old. when in the past was the product of their age 160? ---- Equation: (60-x)(24-x) = 160 x^2-84x+1440 = 160 --- x^2-84x+1280 = 0 x = 20 or x = 64 --- Acceptable answer: x = 20 years ====================== Cheers, Stan H. ======================

Linear-equations/514276: find an equation for the line containing the points (-8,1)and (-6,-2);general form 1 solutions Answer 343363 by stanbon(57290)   on 2011-10-13 06:41:19 (Show Source): You can put this solution on YOUR website! find an equation for the line containing the points (-8,1)and (-6,-2);general form ------------- slope: (-2-1)/(-6--8) = -3/2 --- Form: y = mx + b 1 = (-3/2)(-8) + b 1 = 12 + b b = -11 ------ Equation: y = (-3/2)x-11 General Form: 3x+2y = -22 ================== Cheers, Stan H. ==================

Functions/514271: Find (fog)(x) and (gof)(x) for the pair of functions 1 solutions Answer 343362 by stanbon(57290)   on 2011-10-13 06:37:43 (Show Source): You can put this solution on YOUR website! Find (fog)(x) and (gof)(x) for the pair of functions (F)(x)=2x^2-5x ; (g)(x)= 2(Sqrt(x+12)) ----------- fog(x) = f[g(x)] = f[2sqrt(x+12)] --- = 2[2sqrt(x+12)]^2-5[2sqrt(x+12)] --- = 2[4(x+12)] - 10sqrt(x+12) --- = 8x+24 - 10sqrt(x+12) ======================================== gof(x) = g[f(x)] = g[2x^2-5x] --- = 2sqrt[2x^2-5x+12] --- Cheers, Stan H.

Square-cubic-other-roots/514274: what is the square root of 22.09 without calculator solution plz 1 solutions Answer 343361 by stanbon(57290)   on 2011-10-13 06:27:58 (Show Source): You can put this solution on YOUR website! what is the square root of 22.09 without calculator solution plz ----- sqrt(22.09) = sqrt(2209/100) = sqrt(2209)/sqrt(100) = 47/10 = 4.7 ============================ Cheers, Stan H.

Numbers_Word_Problems/514151: Help me to solve this question mike and ryan have $ 260 altogether. after mike spend 1/4 of his money and ryan spend $ 64, now they have same amount of money. How much money each of them have at first ? 1 solutions Answer 343303 by stanbon(57290)   on 2011-10-12 22:21:12 (Show Source): You can put this solution on YOUR website! mike and ryan have $ 260 altogether. after mike spend 1/4 of his money and ryan spend $ 64, now they have same amount of money. How much money each of them have at first ? ---- Equations: m + r = 260 dollars (m-(1/4)m) = (r-64) ------------------- Rearrange: r = 260-m (3/4)m = r-64 ---- Substitute for "r" and solve for "m": (3/4)m = 260-m-64 (7/4)m = 196 m = (4/7)196 m = $112 (mike's original amount) --- solve for "r": r = 260 -m r = 260 - 112 r = $148 (ryan's orinal amount) =================================== Cheers, Stan H. ============

Percentage-and-ratio-word-problems/514148: A student multiplied 5.25 and 3.1 and got an answerof 1.6275. is this answer reasonable ? Explain why or why not 1 solutions Answer 343300 by stanbon(57290)   on 2011-10-12 22:14:29 (Show Source): You can put this solution on YOUR website! A student multiplied 5.25 and 3.1 and got an answerof 1.6275. is this answer reasonable ? Explain why or why not ---- Not reasonable. The answer must be close to 5*3 = 15 ========== Cheers, Stan H.

Mixture_Word_Problems/514144: How many ounces of a 10% alcohol solution must be added to 40 ounces of a 25% solution to reduce it to a 15% solution? 1 solutions Answer 343299 by stanbon(57290)   on 2011-10-12 22:11:46 (Show Source): You can put this solution on YOUR website! How many ounces of a 10% alcohol solution must be added to 40 ounces of a 25% solution to reduce it to a 15% solution? ------ Equation: alcohol + alcohol = alcohol 0.10x + 0.25*40 = 0.15(x+40) ----- Multiply thru by 100: 10x + 25*40 = 15x + 15*40 5x = 10*40 x = 80 oz (amt. of 10% solution needed) ================== Cheers, Stan H. ==================

Circles/514052: Find an equation for the line that bisects the given quadrants. (Give your answer in slope intercept form.) II and IV 1 solutions Answer 343297 by stanbon(57290)   on 2011-10-12 22:04:51 (Show Source): You can put this solution on YOUR website! Ans: y = -x Cheers, Stan H. =========

Linear-equations/514041: Please help I have no idea what this is asking me. If the opposite sides of a quadrilateral are parallel, then it is a parellologram. Use the slope to determine whether the points (-2,4),(-1,1), (3,3) and (2,5) are the vertices of a parallelogram. is this a true statement or not. 1 solutions Answer 343271 by stanbon(57290)   on 2011-10-12 20:15:46 (Show Source): You can put this solution on YOUR website! If the opposite sides of a quadrilateral are parallel, then it is a parellologram. Use the slope to determine whether the points (-2,4),(-1,1), (3,3) and (2,5) are the vertices of a parallelogram. is this a true statement or not. -------------- 1st: plot the points. 2nd: draw line segments between points that look like the resulting fugure would be a quadrilateral. 3rd: Calculate the slope of opposite sides. If the slopes of opposite sides are equal the figure is a parallogram. ===================== Cheers, Stan H. =====================

Polynomials-and-rational-expressions/514045: how do you factor 3x3 + 12x2 + 18x completely? 1 solutions Answer 343264 by stanbon(57290)   on 2011-10-12 20:05:34 (Show Source): You can put this solution on YOUR website! factor 3x^3 + 12x2 + 18x completely ----- = 3x(x^2+4x+6) ------ Cheers, Stan H. =========

Angles/514044: if the diffrence between the degree measures of an angle and its supplement is 22, find the measure of the larger angle 1 solutions Answer 343262 by stanbon(57290)   on 2011-10-12 20:03:56 (Show Source): You can put this solution on YOUR website! if the diffrence between the degree measures of an angle and its supplement is 22, find the measure of the larger angle ----- angle: x supplement: 180-x ---- Equation: x - (180-x) = 22 2x - 180 = 22 2x = 202 x = 101 degrees (larger of the two angles) ================== Cheers, Stan H.

Equations/514042: 7x-4=20+3x 1 solutions Answer 343259 by stanbon(57290)   on 2011-10-12 20:01:32 (Show Source): You can put this solution on YOUR website! 7x-4=20+3x --- 4x = 24 x = 6 =========== Cheers, Stan H. ===========

Numbers_Word_Problems/514040: Write the number that matches the clues. My number has 2 hundreds The ten digit is 9 more than the ones digit. My number is ???? 1 solutions Answer 343258 by stanbon(57290)   on 2011-10-12 20:00:19 (Show Source): You can put this solution on YOUR website! Write the number that matches the clues. My number has 2 hundreds The ten digit is 9 more than the ones digit. My number is 290 ================== Cheers, Stan H.