Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 1194522: The rate of decay of radium is said to be proportional to the amount of radium
present. If the half-life of radium is 1700 years and there are 400 grams on hand now, how
much radium will be present in 900 years given the exponential decay equation, π¦ = Ce^kt.
what is the value of e^k, and how much radium will be present in 845 years.
Click here to see answer by josgarithmetic(39616)  |
Question 1194522: The rate of decay of radium is said to be proportional to the amount of radium
present. If the half-life of radium is 1700 years and there are 400 grams on hand now, how
much radium will be present in 900 years given the exponential decay equation, π¦ = Ce^kt.
what is the value of e^k, and how much radium will be present in 845 years.
Click here to see answer by Theo(13342)  |
Question 1194535: Mario is going to fly through this scene, following the path of the quadratic function π(π₯). Based on the
table and graph, you will write equations for this quadratic function in each of three forms: standard
form, vertex form, and factored form. You may start with any form you choose, but you need to write
equivalent equations in all three forms.
equivalent equations in all three forms.
π₯ π(π₯)
0 3
1 1.25
2 0
3 -0.75
4 -1
5 -0.75
6 0
7 1.25
8 3
1.
Click here to see answer by greenestamps(13198)  |
Question 1194535: Mario is going to fly through this scene, following the path of the quadratic function π(π₯). Based on the
table and graph, you will write equations for this quadratic function in each of three forms: standard
form, vertex form, and factored form. You may start with any form you choose, but you need to write
equivalent equations in all three forms.
equivalent equations in all three forms.
π₯ π(π₯)
0 3
1 1.25
2 0
3 -0.75
4 -1
5 -0.75
6 0
7 1.25
8 3
1.
Click here to see answer by MathLover1(20849)  |
Question 1194535: Mario is going to fly through this scene, following the path of the quadratic function π(π₯). Based on the
table and graph, you will write equations for this quadratic function in each of three forms: standard
form, vertex form, and factored form. You may start with any form you choose, but you need to write
equivalent equations in all three forms.
equivalent equations in all three forms.
π₯ π(π₯)
0 3
1 1.25
2 0
3 -0.75
4 -1
5 -0.75
6 0
7 1.25
8 3
1.
Click here to see answer by math_tutor2020(3816) |
Question 1194535: Mario is going to fly through this scene, following the path of the quadratic function π(π₯). Based on the
table and graph, you will write equations for this quadratic function in each of three forms: standard
form, vertex form, and factored form. You may start with any form you choose, but you need to write
equivalent equations in all three forms.
equivalent equations in all three forms.
π₯ π(π₯)
0 3
1 1.25
2 0
3 -0.75
4 -1
5 -0.75
6 0
7 1.25
8 3
1.
Click here to see answer by MathTherapy(10551)  |
Question 1194524: A certain pawikan breeding site is said to be able to sustain 10000 pawikans. One
thousand pawikans are brought there initially. After a year, this increased to 1500
pawikans. How many pawikans will there be after 10 years? Assume that pawikans follow
the limited growth model, π¦ = πΎ β πΆπ^-kt
a.what is the value of e^-k
b.How many pawikans will there be after 5 years?
Click here to see answer by ikleyn(52776)  |
Question 1194635: A resort's enormous rectangular pool is 500 meters wide and 250 meters long. A contractor is
hired to construct a brick walkway around the pool with an area of 1504 m^2?. What are the roots
of the working equation?
Click here to see answer by Alan3354(69443)  |
Question 1194635: A resort's enormous rectangular pool is 500 meters wide and 250 meters long. A contractor is
hired to construct a brick walkway around the pool with an area of 1504 m^2?. What are the roots
of the working equation?
Click here to see answer by ikleyn(52776) |
Question 1194644: pick 2 points on the parabola and calculate the average rate of change across the interval from one point to other
1st point
2ed point
average rate of change
points being used is
0 - 3
1 - 1.25
2 0.75
3 -0.75
4 -1
5 -0.75
6 0
7 1.25
8 3
Click here to see answer by Alan3354(69443) |
Question 1194643: A farmer wants to build a rectangular pen next to the barn. the wall of the barn will serve as one side of the pen. The other 3 sides will be made from 420 feet of fencing the farmer wants to create the largest pen using these materials.
1- Draw a diagram of this situation showing and labeling the wall of the barn and the 3 sides made of fencing. Label the length and the width of the rectangular
2- write a quadratic equation in standard form that represents the area of the pen g(x) in terms of x, one of the sides of the pen.
3- find the vortex of the parabola algebraically using your equation.
Click here to see answer by ikleyn(52776) |
Question 1195588: The city wants to dig a tunnel under the New York canal to create another underground road to clear up the heavy traffic the city has been experiencing lately. The blueprints show that the tunnels path is demonstrated by the quadratic relation h = 0.25d2 - 2.5d + 2.75. All of these (d represents horizontal distance in kilometers, h represents height in meters).
a. What is the height at which the city began to dig?
b. What is the total horizontal distance of the underground part of the tunnel ?
c. What is the minimum point at which the city digs below the ground?
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 1195588: The city wants to dig a tunnel under the New York canal to create another underground road to clear up the heavy traffic the city has been experiencing lately. The blueprints show that the tunnels path is demonstrated by the quadratic relation h = 0.25d2 - 2.5d + 2.75. All of these (d represents horizontal distance in kilometers, h represents height in meters).
a. What is the height at which the city began to dig?
b. What is the total horizontal distance of the underground part of the tunnel ?
c. What is the minimum point at which the city digs below the ground?
Click here to see answer by Alan3354(69443) |
Question 1195712: Cynthia Besch wants to buy a rug for a room that is 21ft wide and 28ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 494 square feet of carpeting. What dimensions should the rugβ have?
Click here to see answer by ikleyn(52776) |
Question 1195808: A toy rocket is fired off the ground at a target 20 feet away. It is designed to reach a maximum height of 40 feet as it heads toward its target on a parabolic path. Find the equation that represents the height off the ground versus the distance travelled for this rocket
Click here to see answer by Alan3354(69443) |
Question 1195809: A plane traveled from Moncton to Winnipeg, a distance of 1940km. On the return
trip, the planeβs speed increased by 100km/h due to a tailwind. The total round trip took
6 hours. Find the average speed of the plane in both parts of its journey.
Click here to see answer by Alan3354(69443) |
Question 1195810: A toy rocket is fired off the ground at a target 20 feet away. It is designed to reach a
maximum height of 40 feet as it heads toward its target on a parabolic path. Find the
equation that represents the height off the ground versus the distance travelled for this
rocket. State the equation in the form π¦ = ππ₯
2 + ππ₯ + π. [HINT: The path of the rocket is
an βupside downβ parabola, with one of the x-intercepts at the origin and the other at
(20,0). We also know the y-value of the vertex. We can use this information to find βaβ,
the coefficient of the x2
term. One way to find this is to plug the known values into the
factored form of the equation, ie. π¦ = π(π₯ β π)(π₯ β π )]
Click here to see answer by Alan3354(69443) |
Question 1195857: A stone was thrown from the top of a cliff 60 meters above sea level. The height of the
stone above sea level t seconds after it was released, is given by H(t) = -5t2 + 20t + 60
meters.
a) Find the time it takes for the stone to reach its maximum height.
b) Find the maximum height above sea level reached by the stone.
c) How long did it take before the stone struck the water?
Click here to see answer by Alan3354(69443) |
Question 1195938: please help me solve this.
Consider the market demand and the supply functions as Demand: P=500-25Q and Supply:
P=50+20Q.
i) Calculate the equilibrium price and Quantity [ 5 marks]
ii) Calculate the consumersβ and producersβ surplus [ 5 marks]
Click here to see answer by MathLover1(20849) |
Question 1196090: Cynthia Besch wants to buy a rug for a room that is 19 ft wide and 30 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 476 square feet of carpeting. What dimensions should the rug βhave?
Click here to see answer by Alan3354(69443) |
Question 1196090: Cynthia Besch wants to buy a rug for a room that is 19 ft wide and 30 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 476 square feet of carpeting. What dimensions should the rug βhave?
Click here to see answer by ikleyn(52776) |
Question 1196090: Cynthia Besch wants to buy a rug for a room that is 19 ft wide and 30 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 476 square feet of carpeting. What dimensions should the rug βhave?
Click here to see answer by greenestamps(13198) |
Question 1196416: A ball is thrown across a playing field from a height of 5 ft above the ground at an angle of 45 degrees to the horizontal at a speed of 20ft/s. It can be deduced from physical principles that the height of the ball is modeled by the function,
h(x)=-32/(20)^2x^2+x+5
where x is the distance in feet that the ball has traveled horizontally.
(1) If the ball traveled horizontally 10 ft, what is the height?
(2) Find the maximum height obtained by the ball. (enter two decimals points).
(3) Find the horizontal distance the ball has traveled when it hits the ground. (enter two decimal points).
Click here to see answer by MathLover1(20849) |
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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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