Tutors Answer Your Questions about Equations (FREE)
Question 1182635: In a meadow filled with wildflowers, a hiker observes 450 butterflies. Scientists have been studying this meadow for years and have discovered that the number of butterflies depends on the number of flowers in the field. The line of best-fit that they calculated is shown below. If the hiker's observation is analyzed, the residual for the number of butterflies is -21. How many flowers are there in the field?
Number of butterflies= 86+0.25(number of flowers)
Click here to see answer by Theo(13342)   |
Question 1183467: Q4 (a) Find the maxima, minima, and inflection points of y = 3x5 - 5x3. Indicating those points, draw the graph of y = 3x5 - 5x3. (b) An open lid tank to be made by concrete has width 50cm, inside capacity of 4000 m3 and square base. Find the inner dimension of the tank with the minimum volume of concrete. (c) Using definite integrals, design a mathematical model to find the inner volume of a circular tube of a vehicle wheel. (d) Draw the curves of y2 = 4ax and y2 = a(8 - 4x) in the same diagram, where a > 0. i) Find the area S enclosed by the curves. ii) If the area S is rotated of an angle 21 about: (a) x-axis; (B) y-axis; then find the volumes of the generated bodies.
Click here to see answer by greenestamps(13200)  |
Question 1183483: Mary will be painting the entryway of her home this weekend. She goes to a nearby paint store
that is closing for good. They have very few large paint cans left. However, they have many
sample containers. Mary decides she will try to use only these sample containers to paint the
entryway! Each sample container can cover 7.5 𝒇𝒕𝟐
. The entryway measures 7.8 feet by 5.9 feet.
Not considering any doorways, exactly how many sample jars would be needed for this task?
Compose an algebraic equation to solve. Be sure to define any variables used
Click here to see answer by ikleyn(52781)  |
Question 1183725: A circle through P(5,9), Q(11,-3), and R(13,3). Find its equation in standard form, by doing the following steps.
a. Determine an equation of the perpendicular bisector of the segment PR.
b. Determine an eqution of the perpendicular bisector of QR.
c. The perpendicular bisector of any chord of a circle will pass through the center. Thus, find the intersection of the two perpendicular bisectors above. This will be the center C of the circle.
d. To find the circle's radius, find the distance of C from any of the three points P,Q, or R. You may use any of these three points?
e. What is the standard equation of the circle?
Click here to see answer by greenestamps(13200) |
Question 1183738: A circle through P(5,9), Q(11,-3), and R(13,3). Find its equation in standard form.
The perpendicular bisector of any chord of a circle will pass through the center. Thus, find the intersection of the two perpendicular bisectors above. This will be the center C of the circle.
Click here to see answer by josgarithmetic(39617) |
Question 1183925: The manager of a company planned to distribute a $50 bonus to each employee from the company fund, but the fund contained $5 less than what was needed. Instead the manager gave each employee a $45 bonus and kept the remaining $95 in the company fund. The amount of money in the company fund before any bonuses were paid was
A. $945
B. $950
C. $955
D. $990
E. $995
Click here to see answer by greenestamps(13200) |
Question 1183942: Aram lives 5 miles from Brian's house. Simran lives 8.5 miles from Brian's house. How far is Aram's house from Simran's house?
A. 3.5 miles
B. 5 miles
C. 11 miles
D. 13.5 Miles
E. Cannot be determined from the information given
The correct answer was E but I don't know how. Can you explain.
Click here to see answer by greenestamps(13200) |
Question 1183942: Aram lives 5 miles from Brian's house. Simran lives 8.5 miles from Brian's house. How far is Aram's house from Simran's house?
A. 3.5 miles
B. 5 miles
C. 11 miles
D. 13.5 Miles
E. Cannot be determined from the information given
The correct answer was E but I don't know how. Can you explain.
Click here to see answer by Edwin McCravy(20055)  |
Question 1184031: a local university is planning to invest $ 500,000 every 3 months in an investment which earns interest at the rate of 12 percent per year compounded quarterly. the first investment will be at the end of this current quarter. (a) to what sum will the investment grow at the end of 5 years? (b) how much interest will be earned during this period?
Click here to see answer by ikleyn(52781) |
Question 1184041: Use the "mixed partials" check to see if the following differential equation is exact.
If it is exact find a function F(x,y) whose differential, dF(x,y) gives the differential equation. That is, level curves F(x,y)=C are solutions to the differential equation:
dy/dx=−x^4−2y/2x+4y^2
First rewrite as M(x,y)dx+N(x,y)dy=0
where M(x,y)= My answer is x^4-2y but it's wrong.
and N(x,y)= My answer is -2x+4y^2 (wrong)
If the equation is not exact, enter not exact, otherwise enter in F(x,y) as the solution of the differential equation here:
My answer is -(x^5/5)-2yx-(4/3)y^3=C but it's wrong.
Click here to see answer by robertb(5830)  |
Question 1184388: Write an equation to represent the situation. Let c represent the number of cars in the equation.
A dealership sells cars and trucks. The number of trucks is 24 more than twice the number of cars for sale. If there are 102 vehicles for sale, how many cars are available for sale at the dealership?
Simplify each side of the equation but don't solve.
I came up with 3c+24=102 but it was marked wrong.
Click here to see answer by MathLover1(20849)  |
Question 1184388: Write an equation to represent the situation. Let c represent the number of cars in the equation.
A dealership sells cars and trucks. The number of trucks is 24 more than twice the number of cars for sale. If there are 102 vehicles for sale, how many cars are available for sale at the dealership?
Simplify each side of the equation but don't solve.
I came up with 3c+24=102 but it was marked wrong.
Click here to see answer by ikleyn(52781) |
Question 1184467: Elton loses 5 pounds each week. He started at 218 pounds on Week 1. Steven was 186 pounds on Week 1 and he loses 1 pound each week.
Part a: Write an equation that represents Elton's weight. Let p= his weight and t= the number of weeks
Part b: Write an equation that represents Steven's weight. Let p= his weight and t= the number of weeks
Part c: After how many weeks will Elton and Steven weigh the same number of pounds.
Click here to see answer by MathLover1(20849) |
Question 1184506: For this problem A is the amount of salt in the tank.
If a tank contains 250 liters of liquid with 11 grams of salt. A mixture containing 11 grams per liter is pumped into the tank at a rate of 5 liters/minute. The mixture is well-mixed, and pumped out at a rate of 6 liters/minute. The amount of salt in the tank satisfies the differential equation.
((6A)/(250-t))-55+A'=0
Rewriting this as a linear differential equation we get A'+((6A)/(250-t))=55
A)The integrating factor is
B)And the solution is
Click here to see answer by robertb(5830) |
Question 1184560: A particular fruit's weights are normally distributed, with a mean of 515 grams and a standard deviation of 14 grams.
If you pick 11 fruit at random, what is the probability that their mean weight will be between 501 grams and 502 grams (Give answer to 4 decimal places.)
Click here to see answer by Boreal(15235)  |
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 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7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 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30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 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39916..39960, 39961..40005, 40006..40050, 40051..40095, 40096..40140, 40141..40185, 40186..40230, 40231..40275, 40276..40320, 40321..40365, 40366..40410, 40411..40455, 40456..40500, 40501..40545, 40546..40590, 40591..40635, 40636..40680, 40681..40725, 40726..40770, 40771..40815, 40816..40860, 40861..40905, 40906..40950, 40951..40995, 40996..41040, 41041..41085, 41086..41130, 41131..41175, 41176..41220, 41221..41265, 41266..41310, 41311..41355, 41356..41400, 41401..41445, 41446..41490, 41491..41535, 41536..41580
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