Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 1047374: At a hockey game, small foam hockey pucks are launched at a height of 2 m above the ice level by using a
special sling shot. How long is a puck in the air if a student in the stands catches it on its way down 12 m above
the ice level? The model for the vertical motion of the puck can be approximated by the relation h=-5t^2+15t+2
, where is the time in seconds, and is the height in metres.
Click here to see answer by Boreal(15235)   |
Question 1047662: Absolutely stumped. What is the max or min value of (x) = 2x^2-3x+5.
Worked out the Y intercept for a value of (0,5), and the vertex, of (0.75, 3.875). Cannot for the life of me work out how to get a number that isn't imaginary for the x intercepts.
Click here to see answer by Alan3354(69443)  |
Question 1047662: Absolutely stumped. What is the max or min value of (x) = 2x^2-3x+5.
Worked out the Y intercept for a value of (0,5), and the vertex, of (0.75, 3.875). Cannot for the life of me work out how to get a number that isn't imaginary for the x intercepts.
Click here to see answer by ewatrrr(24785)  |
Question 1047916: Find the greatest value of each function.
f:x -x^2-3x
Please demonstrate with steps.
I need lots of help on this.
My teacher just introduced me to quadratic funtions and I don't understand.
Thank you very much.
God bless you.
Click here to see answer by stanbon(75887) |
Question 1047916: Find the greatest value of each function.
f:x -x^2-3x
Please demonstrate with steps.
I need lots of help on this.
My teacher just introduced me to quadratic funtions and I don't understand.
Thank you very much.
God bless you.
Click here to see answer by AnlytcPhil(1806)  |
Question 1048151: Water allocations and water flows in drought years. Here I provide for you the total inflow and outflows of surface water to and from SC. Assume the SC water system is and has been at steady state (ΔS = 0). The total flows in SC are presented as follows (all quantities in millions of acrefeet (MAF) per year). One acre foot is the volume corresponding to an area 660 ft x 66 ft x 1 ft where 660 ft x 66 ft is one acre, 1 AF = 325,851 gallons):
Table 1. Where South Carolina’s surface water comes from Precipitation 103.0 MAF/yr Net imports from out of state 1.7 MAF/yr Groundwater Pumping 2.0 MAF/yr Total: 106.7 MAF/yr
Where South Carolina’s surface water goes
evaporation and transpiration 61.0 MAF/yr
agriculture 3.0 MAF/yr Flows for wild & scenic rivers, and for estuary salinity standards 11.5 MAF/yr Other river flow to the ocean 27.2 MAF/yr Urban/industrial use 4 MAF/yr Total: 106.7 MAF/yr
1) What percentage of precipitation is available, after evaporation and transpiration, for use by humans and ecosystems? 1pt
%
2) What is the sum of available water (that is, the total supply of water for Wild & Scenic Rivers-maintaining estuary salinity standards, agriculture, urban/industrial use, and other flow to the ocean)? 1 pt
MAF
3) What percentage of available water goes to human uses (agriculture and urban/industrial use)? 1pt
%
4) If precipitation, statewide, decreases by 20%, evaporation and transpiration stay constant, and net imports from out of state and groundwater pumping stay constant, and agricultural and urban uses remain unchanged, what amount of water is left for rivers and flows to the ocean? 2pt
MAF
Name________________________________________ Section #______________ Homework Assignment #2 Due Th. September, 15 2016
5) By what percentage has this 20% drop in precipitation decreased the amount of water that went to rivers and flows to the ocean? 3 pt
%
6) Therefore a ___________% decrease in rainfall led to a ___________% decrease in river runoff. 1 pt
7) Can this amount of runoff (in #4) accommodate the current needs of agriculture, urban/industrial users, and Wild & Scenic rivers/estuary salinity standards? By what percentage? 2 pt
Yes or No
%
8) If we use all of the water available after the 20% decrease in rainfall how much water is left for river flow to the ocean? What is the consequence of not curtailing our water consumption during a drought? (1 points)
9) There have been proposals to accommodate South Carolina’s growing population with water that is now used for agriculture. If half of the water (1.5 MAF) now going to agriculture went to urban and industrial uses instead, how many new urban dwellers could be supported with this water? All you need are three numbers: (1) South Carolina agriculture currently uses roughly 3 million acre-feet per year, (2) residential, institutional, and industrial water use totals approximately 133 gallons per person, per day in South Carolina, and (3) there are 326,000 gallons in an acrefoot. You’re on your own for this one. Show ALL work here, no work no points: (2 points
Click here to see answer by solver91311(24713)  |
Question 1048177: Water allocations and water flows in drought years. Here I provide for you the total inflow and outflows of surface water to and from SC. Assume the SC water system is and has been at steady state (ΔS = 0). The total flows in SC are presented as follows (all quantities in millions of acrefeet (MAF) per year). One acre foot is the volume corresponding to an area 660 ft x 66 ft x 1 ft where 660 ft x 66 ft is one acre, 1 AF = 325,851 gallons):
Table 1. Where South Carolina’s surface water comes from Precipitation 103.0 MAF/yr Net imports from out of state 1.7 MAF/yr Groundwater Pumping 2.0 MAF/yr Total: 106.7 MAF/yr
Where South Carolina’s surface water goes
evaporation and transpiration 61.0 MAF/yr
agriculture 3.0 MAF/yr Flows for wild & scenic rivers, and for estuary salinity standards 11.5 MAF/yr Other river flow to the ocean 27.2 MAF/yr Urban/industrial use 4 MAF/yr Total: 106.7 MAF/yr
4) If precipitation, statewide, decreases by 20%, evaporation and transpiration stay constant, and net imports from out of state and groundwater pumping stay constant, and agricultural and urban uses remain unchanged, what amount of water is left for rivers and flows to the ocean? 2pt
MAF
Click here to see answer by ikleyn(52750)  |
Question 1048129: Where South Carolina’s surface water comes from
Precipitation 103.0 MAF/yr
Net imports from out of state 1.7 MAF/yr
Groundwater Pumping 2.0 MAF/yr
Total: 106.7 MAF/yr
Where South Carolina’s surface water goes
Evaporation & transpiration 61.0 MAF/yr
Agriculture 3.0 MAF/yr
Flows for wild & scenic rivers, and
for estuary salinity standards 11.5 MAF/yr
Other river flow to the ocean 27.2 MAF/yr
Urban/industrial use 4 MAF/yr
Total: 106.7 MAF/yr
1) What percentage of precipitation is available, after evaporation and
transpiration, for use by humans and ecosystems? 1pt
2) What is the sum of available water (that is, the total supply of water for
Wild & Scenic Rivers-maintaining estuary salinity standards, agriculture,
urban/industrial use, and other flow to the ocean)? 1
3) What percentage of available water goes to human uses (agriculture and
urban/industrial use)? 1pt %
4) If precipitation, statewide, decreases by 20%, evaporation and transpiration
stay constant, and net imports from out of state and groundwater pumping
stay constant, and agricultural and urban uses remain unchanged, what
amount of water is left for rivers and flows to the ocean? 2pt
5) By what percentage has this 20% drop in precipitation decreased the
amount of water that went to rivers and flows to the ocean? 3 pt
6) Therefore a ___________% decrease in rainfall led to a ___________% decrease in river runoff. 1 pt
7) Can this amount of runoff (in #4) accommodate the current needs of
agriculture, urban/industrial users, and Wild & Scenic rivers/estuary salinity
standards? By what percentage? 2 pt
Yes or No
%
8) If we use all of the water available after the 20% decrease in rainfall how much water is left for river flow to the
ocean? What is the consequence of not curtailing our water consumption during a drought? (1 points)
Click here to see answer by ikleyn(52750) |
Question 1048264: The cost, in dollars, to produce x "I'd rather be a Sasquatch" T-Shirts is C(x)= 2x+26, with x smaller or equal to zero and the price-demand function, in dollars per shirt, is p(x) = 30-2x with x larger or equal to zero and smaller or equal to 15.
Question: Find and interpret the break-even point. (All other questions I was able to solve successfully).
Click here to see answer by stanbon(75887) |
Question 1048092: The heat index H in degrees Fahrenheit can be modeled by H=0.0576t^2 - 7.588t + 319.929 where t is the temperature (in degrees Fahrenheit) for a relative humidity of 65% and t less than or equal to 70. Find the temperature that has a heat index of 95 degrees Fahrenheit.
Click here to see answer by josmiceli(19441)  |
Question 1048406: Cynthia Besch wants to buy a rug for a room that is
22
ft wide and
27
ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy
266
square feet of carpeting. What dimensions should the rug have?
Click here to see answer by ikleyn(52750) |
Question 1048446: The cost, in dollars, to produce x "I'd rather be a Sasquatch" T-Shirts is
C(x)=2x+26, x≥0 and the price-demand function, in dollars per shirt, is
p(x)= 30-2x, 0≤x≤15.
a)Find the profit function P(x).
b)Find the number of items which need to be sold in order to maximize profit.
c)Find the maximum profit.
d)Find the price to charge per item in order to maximize profit.
e)Find and interpret break-even points.
I came up with the following solutions, which are correct per the answer section:
a) P(x)= -2x²+28x-26
b) $7
c) Max profit: $72
d) price to charge for max. profit: $16
e) Cannot figure out. The given solutions per textbook are 1 and 13.
PLEASE HELP WITH E)!
THANK YOU!
Click here to see answer by ewatrrr(24785) |
Question 1048527: Good Morning appreciated tutors,
This question is from the McDougal Littell Algebra ISBN 0-395-93776-0 book. Page 689, question# 5.
Suppose you are 14 years old and your brother is 4 years old. In t years, your age will be 14 + t. What will your brother's age be? Write the ratio of your age in t years to your brother's age in t years. Then use long division to rewrite this ratio. The long division to rewrite the ratio is where I am stumped. I got this far:
14 + t over 4 + t ...I cannot figure out how to divide a binomial that does not have a squared exponent in its leading coefficient. Please help! Also, the last part of the problem asks to use the rewritten ratio to find the ratio of the ages for various years. Please help! Thank you
Click here to see answer by ewatrrr(24785) |
Question 1048319: A web developer is creating a website. The page will have a frame along its top and left sides showing the name of the site and links to different parts of the site. These frames will take up one third of the computer screen. If the computer screen is 7 in by 11 in, what will the width of the frames be?
Click here to see answer by jorel555(1290) |
Question 1048929: A rain gutter is made from sheets of aluminum that are 17 inches wide. As shown in the figure, the edges are turned up to form right angles. Determine the depth of the gutter that will allow a cross-sectional area of 18 square inches. Show that there are two different solutions to the problem. Round to the nearest tenth of an inch.
Click here to see answer by ankor@dixie-net.com(22740)  |
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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, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 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, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240
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