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Question 1127847: Which of the following is 3 units lower than y = 4x2 – 8x + 2, but opens in the same direction and has the same shape?

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Question 1127799: let x=33/65 be the x-coordinate od the point P(x,y), where the terminal side of angle theta (in standard position) meets the unit circle. If P is in Quadrant IV, what is sin theta?

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Question 1127818: Given a rectangle OACB with OA =3 along the x-axis and OB=4 along the y-axis, obtain the expressions for the vectors OA, AC, CB, BO, OC and BA in terms of the appropriate unit vectors.
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Question 1128016: The Federal Reserve reports that the mean lifespan of a five dollar bill is 4.9 years. Let’s suppose that the standard deviation is 1.9 years and that the distribution of lifespans is normal
Find:
(a) the probability that a $5 bill will last more than 4 years.
(b) the probability that a $5 bill will last between 3 and 5 years.
(c) the 97th percentile for the lifespan of these bills (a time such that 97% of bills last less than that time).
(d ) the probability that a random sample of 37 bills has a mean lifespan of more than 4.5 years.

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Question 1128019: The IRS computes the time it takes filers to complete its forms. For a particular form, the completion times are normally distributed with a mean of 55.5 minutes and a standard deviation of 11.2 minutes.
(A) What is the probability that it takes an individual filer more than 60 minutes to complete the form?
(B) Find a time such that 15% of all forms are completed in less than that time.
(C) An accounting firm has 20 of these forms to complete one day. What is the probability that the mean completion time for the 20 forms is over 60 minutes?

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Question 1128046: The sum of the ages of husband & his wife is four times the sum of the agesof their children . four years ago , the ratio of sum of their ages to the sum of their children was 18:1 . two years hence the ratio will be 3:1 .how many children do they have ?
Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 1128046: The sum of the ages of husband & his wife is four times the sum of the agesof their children . four years ago , the ratio of sum of their ages to the sum of their children was 18:1 . two years hence the ratio will be 3:1 .how many children do they have ?
Click here to see answer by josmiceli(19441) About Me 

Question 1128588: A small country had a population of 5.6 × 10^7 in 1990. Since then, the original population has doubled, and an additional 7.7 × 10^8 people have immigrated into the country. What is the population of the country now?
The population is A x 10^B where
A =
B =

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Question 1128602: A hawk in level flight 135 m above the ground drops the fish it caught. If the hawk's horizontal speed is 20.0 m/s, how far ahead of the drop point will the fish land?
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Question 1128662: A girl at point G on the riverbank wishes to reach point B on the opposite side of the river as quickly as possible. She starts off in a rowboat which she can row at 4 kilometers per hour. What path should she take?
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Question 1128718: I have a test on radicals in a few days, what are some formulas I would need to know, and how should those formulas be used?
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Question 1128718: I have a test on radicals in a few days, what are some formulas I would need to know, and how should those formulas be used?
Click here to see answer by MathLover1(20849) About Me 

Question 1128676: A girl at point G on the river bank wishes to reach point B on the opposite side of the river as quickly as possible, she starts off in a rowboat which she can row at 4 kilometers per hour and she can run at 16 kilometers per hour. What path ahould she take?
Click here to see answer by ikleyn(52752) About Me 

Question 1128719: I am in grade 8 and am about to take the IB entrance exam. What are some things in math that I should study for?
Click here to see answer by addingup(3677) About Me 

Question 1128665: please help me answer the following question:
1.) find the laplace transform of the following function:
+f%28t%29=2t+%28sin%284t%29%2Be%5E%28-2t%29%2F2%29+

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Question 1128787: Please help me answer the following question:
1.) find the inverse Laplace transform of:
+F%28s%29=+%28sqrt%283%29%2F%28s%5E2%2B6s%2B19%29%29e%5E%28-2s%29+

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Question 1128661: Three runner's are going around a track which is an equilateral angle triangle with side 50 meters long. If the runners are equally spread and all running counterclockwise at 20 kilometers per hour, at what rate is the distance between a pair of them changing when they are
A.leaving vertices?
B.arriving at the vertices
C.at the midpoints of the sides

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Question 1128832: Let𝑓 𝑥 = − 𝑥−5− 𝑥+7. Findallinputs,𝑥,suchthat𝑓 𝑥 =−2.
Click here to see answer by MathLover1(20849) About Me 

Question 1128831: Solve, writing any non-real solutions in the form 𝑎 ± 𝑏𝑖: 2𝑥 EG 𝑥 + 1 = −2𝑥 − 5
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Question 1128830: Giventhat𝑓 𝑥 =EF𝑥G and𝑔 𝑥 =−1+EI𝑥,findall𝑥forwhich𝑓 𝑥 =𝑔 𝑥 .State any non-real solutions in the form 𝑎 ± 𝑏𝑖.

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Question 1128873: Solve, writing any non-real solutions in the form 𝑎 ± 𝑏𝑖: 2𝑥(1/2x+1)=-2x-5
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Question 1128874: Given that𝑓 (𝑥) =1/4𝑥^2 and𝑔 (𝑥) =−1+1/3𝑥, find all 𝑥 for which𝑓 (𝑥) =𝑔 (𝑥) .State any non-real solutions in the form 𝑎 ± 𝑏𝑖.
Click here to see answer by MathLover1(20849) About Me 

Question 1129028: A force is exerted on the head of a nail which has a cross-sectional area of 3.2 cm2. The resulting pressure on the head of the nail is 339.0 kPa. What is the magnitude of the force needed to exert such a pressure? Give your answer in N.
not sure where to start.

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Question 1128664: Use the function f and the given real number a to find (f^ −1)'(a).
f(x) = x3 + 5x − 1, a = −7

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Question 1128664: Use the function f and the given real number a to find (f^ −1)'(a).
f(x) = x3 + 5x − 1, a = −7

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Question 1129154: 2x + 4y=14 5x - 2y =-1
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Question 1129154: 2x + 4y=14 5x - 2y =-1
Click here to see answer by ikleyn(52752) About Me 

Question 1129195: I wasn't really sure what to file this under but here is the question:
Find the equation of both the line and exponential curve going through the point (2,9) with the y-intercept=5. For both curves, if x = 7, find the corresponding y-value (and express to 4 decimal places). Make sure to have both of the equations.

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Question 1129268: x=t^2, y=square root of 2, 0 type the rectangular equation and its bounds
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Question 1129267: x=t^2, y=square root of 2 0 type the rectangular equation and its bounds
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Question 1129333: Find the principal which accounts at simple interest to $729 in 4 years at 2% per annum

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Question 1129538: A hunter aims directly at a target(on the same level) 170 m away. If the bullet leaves the gun at a speed of 40 m/s, by how much will it miss the target?
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Question 1129536: Suppose one of Napoleon Bonaparte's cannons had a muzzle velocity of 60 m/s. At what angle should it have been aimed to (ignore air resistance) to strike a target 320 m away.
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Question 1129535: A diver running 1.8 m/s dives out horizontally from the edge of a vertical cliff and reaches the water below 2.0 s later.
A. How high was the cliff and
B. How far from its base did the diver hit the water?

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Question 1129537: A shot putter throws the shot with an initial speed of 14 m/s at a 40 degrees angle to the horizontal. Calculate the horizontal distance traveled by the shot?
Click here to see answer by Alan3354(69443) About Me 

Question 1129952: Two 3cm thick wooden wheels,each with radius 5cm ,are attached to a cylindrical wooden rod.The diameter and length of this rod are 2cm and 4cm respectively. Find the volume of this object.
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Question 1129940: In watermelons, the alleles for green color G and for short shape S are dominant over the alleles for striped color g and long shape s. Suppose a plant with long striped fruit is crossed with a plant heterozygous for both these characteristics. What genotypes and phenotypes would this cross produce?
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Question 1130038: A block of mass 98.0 g is sitting on a frictionless horizontal surface, and attached to a spring with spring constant 11.6 N/m. The block is then pulled a certain distance from its equilibrium position and released such that it undergoes simple harmonic motion and attains a maximum acceleration of 1.8 m/s2. What is the maximum speed of the block as it oscillates in this way? Express your answer in m/s.
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Question 1130146: Thank you for all of your help! I love having the ability to come everyday and find helpful support!
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Question 1130213: If you can buy 4⁄5 of a pound of ham for 3 dollars, how much can you purchase for 10 dollars? Write your answer as a fraction of a pound.

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Question 1130213: If you can buy 4⁄5 of a pound of ham for 3 dollars, how much can you purchase for 10 dollars? Write your answer as a fraction of a pound.

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Question 1130218: how do I write an expression without using a fraction bar. For ex 1/81+ ?
Click here to see answer by Alan3354(69443) About Me 

Question 1130253: A cage is 7.5m long 5.2m wide 4.8m high.The cage does not have a base.Calculate the area of netting needed to cover the cage
Click here to see answer by josgarithmetic(39613) About Me 

Question 1130316: assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0 degrees C and a standard deviation of 1.00 Degrees C. A single thermometer is randomly selected and tested. Find P88, the 88- percentile. This is the temperature reading separating the bottom 88% from the top 12%
P88= __ Degrees C

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Question 1130513: If f(x)=(7x+1)/3 − (4x−5)/3, what is the value of f(x)−x?

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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