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Question 1122070: Given that −x^2−2x−4 ≤ f(x) ≤ x^2+2x−2 for all x, find lim x→−1 f(x)
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Question 1122128: a ship sails 10 miles northward and then 15 miles eastward. How far is it from the starting points?
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Question 1122127: A force of 50 grams and of 60 gram act at an angle of 37 degrees between them. Determine the resultant using the cosine law.
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Question 1122219: Hi, I wish you could help with this problem. I've tried answering it but I'm still not sure about my solution. I would be really grateful if you could give me a help for this. Here's my question:
Ona certain day 1/4 of the employees of an office were away on vacation and 1/8 away on official leave. If 270 were present, how many employees compose the office force?



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Question 1122228: Hello, I was given a limit problem and it goes like this.
When x approaches 7 from the left (|x-7|)/(x-7)
Any help to find the limit would be helpful because I am trying to get a bit ahead in my work
So far i think it’s a one sided limit, since it approaches from the left?

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Question 1122241: 2 feet of taller
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Question 1122273: At noon a culture of bacteria had 2.5x10^6 members, and at 3 pm the population was 4.5x10^6. Assuming exponential growth, find when the population will be 8.0x10^6.
Click here to see answer by josgarithmetic(39616) About Me 
Question 1122273: At noon a culture of bacteria had 2.5x10^6 members, and at 3 pm the population was 4.5x10^6. Assuming exponential growth, find when the population will be 8.0x10^6.
Click here to see answer by Theo(13342) About Me 

Question 1122318: Justify all answers using the definition of continuity (removable or nonremovable). Find any discontinuities and determine which type. If possible, indicate how f can be redefined to be made continuous.
+f%28x%29+=+x%5E2+-+16+

-------------------------
That becomes +%28x%2B4%29%28x-4%29+
Wouldn't that just be continuous for all real numbers?

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Question 1122274: reduce in echelon form or rref
 x_1 -  x_2 - 2x_3 +  x_4 + 11x_5 = 13
 x_1 -  x_2 +  x_3 +  x_4 +  5x_5 = 16
2x_1 - 2x_2 + 0x_3 +  x_4 + 10x_5 = 21
2x_1 - 2x_2 -  x_3 + 3x_4 + 20x_5 = 38
2x_1 - 2x_2 +  x_3 +  x_4 +  8x_5 = 22


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Question 1122274: reduce in echelon form or rref
 x_1 -  x_2 - 2x_3 +  x_4 + 11x_5 = 13
 x_1 -  x_2 +  x_3 +  x_4 +  5x_5 = 16
2x_1 - 2x_2 + 0x_3 +  x_4 + 10x_5 = 21
2x_1 - 2x_2 -  x_3 + 3x_4 + 20x_5 = 38
2x_1 - 2x_2 +  x_3 +  x_4 +  8x_5 = 22


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Question 1122357: Solve for x.
a^2/b^2= x+b/x+a where b is not equal to 0 and a is not equal to +,- b
The dash means fraction.

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Question 1122361: find the vertex of the following quadratic function. please show your work.
F(x)= 5/6x^2 + 20/21x - 2/147
***the numbers with dashes between them are fractions

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Question 1122449: problem solving using quadratic functions:
Philip wants to construct a dog pen at the back of his garage. He will use the wall of the garage as one side of the pen and will construct the rest of the rectangular pen from 28 yards of fencing. What should the dimensions of the pen be if Philip wants it to have maximum area.
Part 2
Rework part 1 this time assuming the garage abuts the rear of the property and a neighbor was permitted to attach 6 feet of fencing to it.Use this section of fence as well as the side of the garage as part of the pen.

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Question 1122541: What is the range of y > 2(x-4)^2 - 3
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Question 1122541: What is the range of y > 2(x-4)^2 - 3
Click here to see answer by ikleyn(52776) About Me 

Question 1122593: Sherri divided a mixed number by 2 and 3/4 . The quotient was a whole number larger than 10. What are two possibilities for the mixed number?
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Question 1122592: Sherri divided a mixed number by 3 and 3/4 . The quotient was a whole number larger than 10. What are two possibilities for the mixed number?
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Question 1122625: A. B. C. D. E. F.
36 34 8 48 68 58
53 99 0 48 66 28
80 14 25 33 2 21
43 82 4 21 51 72
12 0 38 15 39 31
67 12 95 29 58 66
? ? ? ? ? ?

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Question 1122743: Reading Charts: Refer to the bar charts below to find the net change in calories for a 150-pound person who participates in skiing for 4 hour(s) and then eats 1 Big Mac(s).What is the Net change in calories ?
/Users/Guest/Desktop/Screenshot20100301at8.54.46PM.png
/Users/Guest/Desktop/Screenshot20100301at8.54.39PM.png

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Question 1122756: the length of a rectangular board is 10 cm longer than its width. the width of the board is 26 cm. the board is cut into 9 equal pieces. A : what is the area of each piece B:What are the possible dimensions of each piece (Take the dimensions to be whole numbers).
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Question 1122861: If your front lawn is 23.0 feet wide and 20.0 feet long, and each square foot of lawn accumulates 1250 new snow flakes every minute, how much snow (in kilograms) accumulates on your lawn per hour? Assume an average snow flake has a mass of 2.20 mg.
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Question 1122982: Mia under exist the front door of her home and walks along the path shown in the diagram at the right(not to scale). The walk consists of 4 legs with the following magnitude.
A. 46m
B. 142m
C. 78m
D. 89m

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Question 1122981: Find the resultant force R that will balance the three forces by adding a fourth mass to the force table at the appropriate angle.
A. 300g @30°
B. 450g @110°
C. 400g @230°

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Question 1123086: The length of a rectangle is 5cm longer than twice the length of the width. If the perimeter of the rectangle is 88cm, what is the width?
Click here to see answer by Boreal(15235) About Me 

Question 1123037: Hi I need help on a math problem that is about filling a table and then round to the given place and label the number line. The problem is 4.3. I need help on how it would be on a number line that is from hundreds, tenths, and ones. Thank you very much if you are able to help on this problem.
Click here to see answer by ikleyn(52776) About Me 

Question 1123190: . in a class of 30 students,17 play football, 15 play volleyball 12 play rugby 9 play only football 6 play only volleyball and 3 play only rugby. If all the pupils play at least one of the three games, find the number of students who play only volleyball and display in the information on a venn diagram

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Question 1123187: Describe the x-values at which the function is differentiable using interval notation
+y=+%28x%5E2%29%2F%28x%5E2%2B25%29+

Click here to see answer by Edwin McCravy(20054) About Me 

Question 1123335: How do you determine the point (x,y) at which the graph of +f%28x%29+=+%28-8x%29%2Fsqrt%282x-1%29+ has a horizontal tangent?
So far I get d/dx to be %28-8%282x-1%29-8x%29%2F%28%282x-1%29%5E%283%2F2%29%29 but what do you do to get a point value?

Click here to see answer by josgarithmetic(39616) About Me 

Question 1123511: two metal castings weigh a total of 84 pounds. One weighs 12 pounds more than the other does. How much does each one weigh?
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Question 1123498: in the system below, I have only shown you the first equation. you fill in the second equation so that the systems will be...
A dependent: y=-3x+7
B:Inconsistent y=-3x+7
C: A one solution system y=-3x+7

Click here to see answer by Theo(13342) About Me 
Question 1123498: in the system below, I have only shown you the first equation. you fill in the second equation so that the systems will be...
A dependent: y=-3x+7
B:Inconsistent y=-3x+7
C: A one solution system y=-3x+7

Click here to see answer by MathTherapy(10551) About Me 

Question 1123623: araba and john are partners in a business they zgree to share their profit in the ratio 2:3.if the total annual profit is 6500.how much will each get
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Question 1123667: a new community center is being built in pagosa springs. The perimeter of the rectangular playing field is 312 yards. the lenght of the field is 3 yards less than double the width. what are the dimensions of the playing field?
Click here to see answer by Boreal(15235) About Me 

Question 1123677: How many paths through the array shown will spell SIERPINSKI
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Question 1123745: Solve the system by the addition method. Identify dependent systems.
2x + 3y = 5
3y = 5 - 2x

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Question 1123821: If you have $400,000 in your retirement account, and you are currently making 8% interest on your account, how much can you withdraw from it a year without decreasing the amount in your account?

Click here to see answer by Theo(13342) About Me 

Question 1123820: If you start contributing to your retirement account at the age of 18 with $25 a month and you increase your contributions by $5 a month per year, how much will you be contributing a month at the age of 40?

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Question 1123824: You think you need $1.5 million and your retirement advisor thinks you will average 6% a year on your account. How much will you need to contribute a year to your account if you have 40 years to your retirement?

Click here to see answer by Theo(13342) About Me 
Question 1123824: You think you need $1.5 million and your retirement advisor thinks you will average 6% a year on your account. How much will you need to contribute a year to your account if you have 40 years to your retirement?

Click here to see answer by ikleyn(52776) About Me 
Question 1123824: You think you need $1.5 million and your retirement advisor thinks you will average 6% a year on your account. How much will you need to contribute a year to your account if you have 40 years to your retirement?

Click here to see answer by MathTherapy(10551) About Me 

Question 1123825: Your baby is born, and you want to make monthly payments into a college fund over the next 18 years. Your goal is to have $100,000 in the fund in 18 years. Assuming an APR of 5%, calculate how much you should deposit monthly?


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Question 1123828: Assume that cigarettes cost $7 per pack and consider a 21 year old college student smoker who smokes 15 packs of cigarettes per month. If the student quits smoking and each month invests the amount she would have spent on cigarettes in a savings plan that averages a 4% annual return, how much will she have saved by the time she is 65?

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Question 1123935: According to the teachlet, what can improve your ability to perform any type of job? Why?
How can touch typing quickly but accurately improve your earnings (the money you can make)?
Now I know this is not math, but I need help. This is Keyboarding. Computer stuff

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Question 1123974: Let P(n) be the statement that
3^1 + 3^2 + · · · 3^n = 3/2(3^n-1)
for the positive integer n. A proof by mathematical induction is to be used to establish this
summation formula.
(a) What is the statement P(1)?
(b) Show that P(1) is true, completing the basis step of the proof.
(c) What is the inductive hypothesis?
(d) What do you need to prove in the inductive step?
(e) Complete the inductive step, identifying where you use the inductive hypothesis.

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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