Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 1144427: A model rocket is launched upward with an initial velocity of 240 feet per second. The height, in feet, of the rocket t seconds after the launch is given by
h = −16t2 + 240t.
How many seconds after the launch will the rocket be 300 feet above the ground? Round to the nearest tenth of a second.
Click here to see answer by ikleyn(52748)   |
Question 1144617: A fruit juice company varies the price of its litre cartons to maximise profit. The equation that models the company's profit is given below:
P=-80d+960d-2280
Where P is the profit in thousands of dollars and d is the price of a litre carton in dollars.
a) What is the maximum profit the company can make selling litre containers?
b) Sketch the general shape of the graph showing how profit varies with the price of a litre container.
c) What's the lowest price the company can sell litre cartons for and still break even? (Answer to the nearest 10 cents)
Click here to see answer by ikleyn(52748) |
Question 1144637: A fruit juice company varies the price of its litre cartons to maximise profit. The equation that models the company's profit is given below:
P=-80d^2+960d-2280
Where P is the profit in thousands of dollars and d is the price of a litre carton in dollars.
a) What is the maximum profit the company can make selling litre containers?
b) Sketch the general shape of the graph showing how profit varies with the price of a litre container.
c) What's the lowest price the company can sell litre cartons for and still break even? (Answer to the nearest 10 cents)
Click here to see answer by ikleyn(52748) |
Question 1145076: A can of beans has surface area 366 cm^2. Its height is 17 cm. What is the radius of the circular top? (Hint: The surface area consists of the circular top and bottom and a rectangle that represents the side cut open vertically and unrolled.)
Click here to see answer by josgarithmetic(39613) |
Question 1145075: A rectangular piece of metal is 25in longer than it is wide. Squares with sides
5 in long are cut from the four corners and the flaps are folded upward to form an open box. If the volume of the box is 930 in^3, what were the original dimensions of the piece of metal?
Click here to see answer by josgarithmetic(39613) |
Question 1145118: Two rectangles A and B each have an area of 11 cm^2
The length of rectangle A is x cm
The length of rectangle B is (x+3) cm
Given that the width of rectangle A is 2 cm greater than the width of rectangle B form an equation in x and show that it simplifies to
2x^2 + 6x - 33 = 0
Click here to see answer by josmiceli(19441)  |
Question 1145118: Two rectangles A and B each have an area of 11 cm^2
The length of rectangle A is x cm
The length of rectangle B is (x+3) cm
Given that the width of rectangle A is 2 cm greater than the width of rectangle B form an equation in x and show that it simplifies to
2x^2 + 6x - 33 = 0
Click here to see answer by ikleyn(52748) |
Question 1145118: Two rectangles A and B each have an area of 11 cm^2
The length of rectangle A is x cm
The length of rectangle B is (x+3) cm
Given that the width of rectangle A is 2 cm greater than the width of rectangle B form an equation in x and show that it simplifies to
2x^2 + 6x - 33 = 0
Click here to see answer by MathTherapy(10549)  |
Question 1145287: This question was set as homework (solve the equation "y = ax^2 + bx + c to find x in terms of y". I have come as far as getting all Xes to one side (as "((y-c)/x) - ax = b", however I am unsure how to move on as the question states in terms of y. Does this mean just to rearrange the equation or does it mean to write the equation using only Ys?
Click here to see answer by ikleyn(52748) |
Question 1145361: When an arrow is shot into the air, it’s height, h, in feet above the ground is given by the equation
h-16f^2+96t+5
Maximum height
How long will it take before the arrow starts coming back down
To the nearest whole number, determine the value of Thor which the arrow hits the ground
Suppose the arrow hits a tree after 1.5 sec, stopping its path. How far up the tree would the arrow hit
Click here to see answer by richwmiller(17219)  |
Question 1145361: When an arrow is shot into the air, it’s height, h, in feet above the ground is given by the equation
h-16f^2+96t+5
Maximum height
How long will it take before the arrow starts coming back down
To the nearest whole number, determine the value of Thor which the arrow hits the ground
Suppose the arrow hits a tree after 1.5 sec, stopping its path. How far up the tree would the arrow hit
Click here to see answer by ikleyn(52748) |
Question 1145531: The height h in feet of a projectile fired up from the ground is given by the function h(t) =16t^2+128t, where t it the time in seconds. How many seconds will it take the projectile to reach its maximum height? What is that height? How many seconds will it take for the projectile to land?
Click here to see answer by ikleyn(52748) |
Question 1145531: The height h in feet of a projectile fired up from the ground is given by the function h(t) =16t^2+128t, where t it the time in seconds. How many seconds will it take the projectile to reach its maximum height? What is that height? How many seconds will it take for the projectile to land?
Click here to see answer by Alan3354(69443)  |
Question 1146035: A person standing close to the edge on the top of a 160-foot building throws a baseball vertically upward. The quadratic function, s(t)= -16t^2+64t+160 models the ball’s height where s(t) is the height and t is the number of seconds after the ball is thrown.
(Note that s(t) is just function notation for the height of the ball and NOT s
multiplied by t; also note where the initial height and initial velocity values play a role in the equation.)
After how many seconds is the ball 100 feet above the ground’s surface? Round answer to the nearest hundredth. Don’t forget units!!
Click here to see answer by josmiceli(19441) |
Question 1146083: A person standing close to the edge on the top of a 160-foot building throws a baseball vertically upward. The quadratic function, s(t)= -16t^2+64t+160 models the ball’s height where s(t) is the height and t is the number of seconds after the ball is thrown.
(Note that s(t) is just function notation for the height of the ball and NOT s
multiplied by t; also note where the initial height and initial velocity values play a role in the equation.
How many seconds will it take for the ball to return to the surface? Round answer to the nearest hundredth. Don’t forget units!!
Click here to see answer by ikleyn(52748) |
Question 1146083: A person standing close to the edge on the top of a 160-foot building throws a baseball vertically upward. The quadratic function, s(t)= -16t^2+64t+160 models the ball’s height where s(t) is the height and t is the number of seconds after the ball is thrown.
(Note that s(t) is just function notation for the height of the ball and NOT s
multiplied by t; also note where the initial height and initial velocity values play a role in the equation.
How many seconds will it take for the ball to return to the surface? Round answer to the nearest hundredth. Don’t forget units!!
Click here to see answer by richwmiller(17219) |
Question 1146084: A person standing close to the edge on the top of a 160-foot building throws a baseball vertically upward. The quadratic function, s(t)= -16t^2+64t+160 models the ball’s height where s(t) is the height and t is the number of seconds after the ball is thrown.
(Note that s(t) is just function notation for the height of the ball and NOT s
multiplied by t; also note where the initial height and initial velocity values play a role in the equation.
The ball will never reach a height of 300 ft. How can this be determined
algebraically? Show the algebra here
Click here to see answer by ikleyn(52748) |
Question 1146084: A person standing close to the edge on the top of a 160-foot building throws a baseball vertically upward. The quadratic function, s(t)= -16t^2+64t+160 models the ball’s height where s(t) is the height and t is the number of seconds after the ball is thrown.
(Note that s(t) is just function notation for the height of the ball and NOT s
multiplied by t; also note where the initial height and initial velocity values play a role in the equation.
The ball will never reach a height of 300 ft. How can this be determined
algebraically? Show the algebra here
Click here to see answer by richwmiller(17219) |
Question 1146072: A person standing close to the edge on the top of a 160-foot building throws a baseball vertically upward. The quadratic function, s(t)= -16t^2+64t+160 models the ball’s height where s(t) is the height and t is the number of seconds after the ball is thrown.
(Note that s(t) is just function notation for the height of the ball and NOT s
multiplied by t; also note where the initial height and initial velocity values play a role in the equation.)
Which technique for solving a quadratic equation is going to be best for this
equation and why
Click here to see answer by ikleyn(52748) |
Question 1146072: A person standing close to the edge on the top of a 160-foot building throws a baseball vertically upward. The quadratic function, s(t)= -16t^2+64t+160 models the ball’s height where s(t) is the height and t is the number of seconds after the ball is thrown.
(Note that s(t) is just function notation for the height of the ball and NOT s
multiplied by t; also note where the initial height and initial velocity values play a role in the equation.)
Which technique for solving a quadratic equation is going to be best for this
equation and why
Click here to see answer by greenestamps(13195)  |
Question 1146109: You want to form a rectangular pen of area a = 70 square feet. (See the figure below.) One side of the pen is to be formed by an existing building and the other three sides by a fence. If w is the length, in feet, of the sides of the rectangle perpendicular to the building, then the length of the side parallel to the building is 70/w, so the total amount F = F(w), in feet, of fence required is the rational function
F = 2w +
70
w
.
Determine the dimensions of the rectangle that requires a minimum amount of fence. (Round your answers to two decimal places.)
width
ft
length
ft
Click here to see answer by greenestamps(13195) |
Question 1146108: The Builder's Old Measurement was instituted by law in England in 1773 as the way to estimate the total tonnage T of a wooden ship from its beam width W and length L, both measured in feet. The formula is
T =
(L − 0.6W)W2
188
.
In this exercise, we consider wooden ships of length 180 feet. (Round your answers to two decimal places.)
(a) What tonnage is given by the Builder's Old Measurement for a ship of beam width 15 feet?
(b) What beam width will give a tonnage of 900?
ft
Click here to see answer by josgarithmetic(39613) |
Question 1146009: The Formula for the speed of DR
---
336G
S=speed of the car in miles per hour(MPH), D=tire diameter, R=engine speed in revolutions per minute(RPM). and G=gear ratio
Calculate the gear ratio necessary to achieve a speed of 142 MPH in a car with 30 inch diameter tires and an engine speed of 4000 RPM's, rounded to the one decimal place.
I know (S)=142 (D)=30 (R)=4000 And I need to find G. I believe I need to isolate it in the problem but I'm not sure how to do it. Please help I believe if I can see how this problem is done it will help me understand the rest of my homework. Thank you
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 1146204: If a rock is thrown into the air on small planet with a velocity of 25 m/s, its height (in meters) after t seconds is given by y=25t−4.9t^2.
Find the velocity in meters per second of the rock when t=2.5. (Include units.)
Click here to see answer by Alan3354(69443) |
|
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
|
