Tutors Answer Your Questions about Equations (FREE)
Question 1209496: Express x^2 + 6kx + 144 in the form of (x+p)^2 + q.
Find the range of values of k suck that the x^2 + 6kx + 144 is positive for all values of x.
[the answer for (a) is solved already, I need the second part please.]
[the answer for (b) is -4
Thank you!
Click here to see answer by ikleyn(52781)   |
Question 1192189: The following table shows the amount spent by four U.S. airlines to fly one available seat 1 mile in the second quarter of 2014.† Set up a system and then solve using technology. HINT [See the technology note accompanying Example 1.]
Airline United Continental American JetBlue Southwest
Cost (¢) 14.9 14.6 11.9 12.4
Suppose that, on a 3,000-mile New York to Los Angeles flight, United Continental, American, and Southwest flew a total of 235 empty seats, costing them a total of $99,060. If United Continental had three times as many empty seats as American, how many empty seats did each of these three airlines carry on its flight?
+ United Continental _______ empty seats
+ American ______ empty seats
+ Southwest _______ empty seats
Click here to see answer by CPhill(1959)  |
Question 1192189: The following table shows the amount spent by four U.S. airlines to fly one available seat 1 mile in the second quarter of 2014.† Set up a system and then solve using technology. HINT [See the technology note accompanying Example 1.]
Airline United Continental American JetBlue Southwest
Cost (¢) 14.9 14.6 11.9 12.4
Suppose that, on a 3,000-mile New York to Los Angeles flight, United Continental, American, and Southwest flew a total of 235 empty seats, costing them a total of $99,060. If United Continental had three times as many empty seats as American, how many empty seats did each of these three airlines carry on its flight?
+ United Continental _______ empty seats
+ American ______ empty seats
+ Southwest _______ empty seats
Click here to see answer by ikleyn(52781) |
Question 1185451: Consider the following statements
X: All policemen wear uniform;
Y: Civil servants do not wear uniform.
If P={policemen}, T={people who wear uniform} and C={civil servants},
(I). draw a Venn diagram to illustrate X and Y
(II). use the diagram to determine which of the following implications are valid or not valid conclusions from X and Y;
(a) Adu wears uniform ____ Adu is a policeman
(b). Ofei is a policeman_____ Ofei is not a Civil Servants.
Click here to see answer by CPhill(1959) |
Question 1184075: Suppose x=e^(2t).
a)Find the value of the expression x′′′−6x′′+12x′−8x in terms of the variable t. (Enter the terms in the order given.)
My answer is 8e^(2t)-24e^(2t)+24e^(2t)-8e^(2t), correct.
b)Simplify your answer to the previous part and enter a differential equation in terms of the dependent variable x satisfied by x=e^(2t). Enter the derivatives of x using prime notation (x′,x′′,x′′′).
My answer is 8e^(2t)-24e^(2t)+24e^(2t)-8e^(2t)=0 , wrong
Click here to see answer by CPhill(1959) |
Question 1182658: In a meadow filled with wildflowers, a hiker observes 450 butterflies. Scientists have been studying this meadow for years and have discovered that the number of butterflies depends on the number of flowers in the field. The line of best-fit that they calculated is shown below. If the hiker's observation is analyzed, the residual for the number of butterflies is -27. How many flowers are there in the field?
Number of butterflies = 86+0.25(number of flowers
Click here to see answer by CPhill(1959) |
Question 1180634: This pandemic, Abheedette learned to bake while on home quarantine. She
also realized that she will be able to make P60.00 profit per tray of banana muffins and P120.00 profit per tray of blueberry muffins. She needs 2 cups of milk and 3 cups of flour to bake a tray of banana muffins. And, baking a tray of blueberry muffins takes 4 cups of milk and 3 cups of flour. She has 16 cups of milk and 15 cups of flour. How many trays of each flavor must be baked to maximize the profit?
a. Define the variable used:
b. LP Model:
c. Identify the feasible region:
d. Corner Points and the objective functions:
e. Optimal Solution (final answer):
Click here to see answer by CPhill(1959) |
Question 1180634: This pandemic, Abheedette learned to bake while on home quarantine. She
also realized that she will be able to make P60.00 profit per tray of banana muffins and P120.00 profit per tray of blueberry muffins. She needs 2 cups of milk and 3 cups of flour to bake a tray of banana muffins. And, baking a tray of blueberry muffins takes 4 cups of milk and 3 cups of flour. She has 16 cups of milk and 15 cups of flour. How many trays of each flavor must be baked to maximize the profit?
a. Define the variable used:
b. LP Model:
c. Identify the feasible region:
d. Corner Points and the objective functions:
e. Optimal Solution (final answer):
Click here to see answer by ikleyn(52781) |
Question 1179262: Ten points in the plane are given, with no three collinear. Four
distinct segments joining pairs of these points are chosen at random, all such segments
being equally likely. The probability that some three of the segments form
a triangle whose vertices are among the ten given points is m/n, where m and n
are relatively prime positive integers. Find m + n.
Click here to see answer by CPhill(1959) |
Question 1176925: Choose the best answer..
1.) Which statement has the same truth value in the statement,
“If the number is even, then it is divisible by two”?
a. If the number is divisible by two, then it is even.
b. If the number is not even, then it is not divisible by two.
c. If the number is not divisible by two, then it is not even.
2.) Given the statement, “If a polygon is pentagon, then it has five
sides”, what is the contrapositive?
a. If a polygon has five sides, then it is a pentagon.
b. If a polygon is not pentagon, then it has no five sides.
c. If a polygon has no five sides, then it is not a pentagon.
For items 3 -5, if p: A = πr2 and q: r = 10
3.) What statement is equivalent to q → p?
a. If r = 10, then A = πr2
b. If A ≠ πr2, then r ≠ 10
c. If r ≠ 10, then A ≠ πr2
4.) What statement is equivalent to ~q → ~p?
a. If r = 10, then A = πr2
b. If A ≠ πr2, then r ≠ 10
c. If r ≠ 10, then A ≠ πr2
5.) What statement is equivalent to ~p → ~q?
a. If r = 10, then A = πr2
b. If A ≠ πr2, then r ≠ 10
c. If r ≠ 10, then A ≠ πr2
Click here to see answer by CPhill(1959) |
Question 1173638: A national census is mandated by the Constitution of Pakistan to be held every ten years. After
the independence of Pakistan in 1947, the first census took place in 1951. Figure 1 reflects the
increase in population of Pakistan during last four national census. The increase between 1972 and
2017 could be approximated by a linear function. If in 1972 the population was 65.309 million
and as per the census data of 2017 the population was 207.774 million;
a) Determine the estimation function P = f (t), where P equals the population of Pakistan and t
equals time measured in years since 1972.
b) Interpret the slope and P intercept
c) According to this function, what will be the estimated population of Pakistan in 2027 census?
Click here to see answer by CPhill(1959) |
Question 1173170: 5. What sum must be deposited today at 18% per year compounded monthly if the goal is to a compound amount of $50, 00 six years from today? How much interest will be earned during this period?
Question no 03:
1. Determine the present value of a series of 60 monthly payments of $2,500 each which begins 1 month from today. Assume interest of 12 percent per year compounded monthly.
2.
3.
Determine the present value of a series of 36 monthly payments of $5,000 each which
begins 1 month from today. Assume interest of 18 percent per year compounded
monthly
A person wants to buy a life insurance policy which would yield a large enough sum of money to provide for 20 annual payments of $50,000 to surviving members of the family. The payments would begin 1 year from the time of death. It is assumed that interest could be earned on the sum received from the policy at a rate of 8 percent per year compounded annually.
(a) What amount of insurance should be taken out so as to ensure the desired annuity? (6) How much interest will be earned on the policy benefits over the 20-year period?
Click here to see answer by CPhill(1959) |
Question 1173170: 5. What sum must be deposited today at 18% per year compounded monthly if the goal is to a compound amount of $50, 00 six years from today? How much interest will be earned during this period?
Question no 03:
1. Determine the present value of a series of 60 monthly payments of $2,500 each which begins 1 month from today. Assume interest of 12 percent per year compounded monthly.
2.
3.
Determine the present value of a series of 36 monthly payments of $5,000 each which
begins 1 month from today. Assume interest of 18 percent per year compounded
monthly
A person wants to buy a life insurance policy which would yield a large enough sum of money to provide for 20 annual payments of $50,000 to surviving members of the family. The payments would begin 1 year from the time of death. It is assumed that interest could be earned on the sum received from the policy at a rate of 8 percent per year compounded annually.
(a) What amount of insurance should be taken out so as to ensure the desired annuity? (6) How much interest will be earned on the policy benefits over the 20-year period?
Click here to see answer by ikleyn(52781) |
Question 1171394: 27 % adults favor the use of unmanned drones by police agencies. Twelve U.S. adults are randomly selected. Find the probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is (a) exactly three, (b) at least four, (c) less than eight.
(a) P(3)=
Click here to see answer by CPhill(1959) |
Question 1171394: 27 % adults favor the use of unmanned drones by police agencies. Twelve U.S. adults are randomly selected. Find the probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is (a) exactly three, (b) at least four, (c) less than eight.
(a) P(3)=
Click here to see answer by ikleyn(52781) |
Question 1170795: a person pushes a 20 kg shopping car at a constant velocity for a distance of 33m. she pushes the handle in a direction 30 degrees to the horizontal. A 52N frictional force opposes the motion of the cart.
how large is the force in the handle that pushes the cart forward (60.04N)
determine the work done by
a) the pushing force (1.72*10^3J)
b) the frictional force (-1.72*10^3J)
c) the gravational force (0J)
could u show me steps on solving!
Click here to see answer by CPhill(1959) |
Question 1170427: 𝐏𝐫𝐨𝐛𝐥𝐞𝐦 𝟒
(b) During a nationwide program to immunize the population against a new strain of the flu, public health officials determined that the cost of inoculating x% of the susceptible population
1.85x
would be approximately C(x) = million dollars. x
(i) What would it cost to providing immunization to the first 20% of the susceptible population?
(ii) What would it cost to providing immunization to the next 30% of the susceptible population?
(iii) Suppose 17 million dollars are available for providing immunization. What percentage of the susceptible population will not receive immunization?
(iv) If money was not a problem will they be able to providing immunization to the entire susceptible population?
(c) Determine the values of x for which the function f
is discontinuous.
Click here to see answer by CPhill(1959) |
Question 1170424: 𝐏𝐫𝐨𝐛𝐥𝐞𝐦 𝟏
(a) Teddy J is a manufacturer of dish washing liquid . If his monthly demand function for 750ml size is q = 4000 − 250p and his total cost function is C(q) = 500 + 0.2q.
(i) Derive an expression, R(q) for Teddy J′s total revenue curve.
(ii) Derive an expression, Π(q) for Teddy J′s profit function.
(iii) Determine whether Teddy J′s profit is increasing or decreasing when he produces 5 hundred, 750ml bottles of dish washing liquid.
(iv) How many 750ml bottles of dish washing liquid should Teddy J produce per month if he wishes to maximize his profits.
(b) A firm has an average cost function
125 q2
A(q) = + − 4. q 16
where q is the firm′s output.
(i) Determine the level of output for average costs are minimum.
(ii) Hence determine the range of values for which average costs are decreasing.
(iii) What part of the decreasing range is practically feasible?
(iv) Write an equation for the total cost function.
(v) Hence calculate the level of output for which total costs are minimum.
Click here to see answer by CPhill(1959) |
Question 1168930: You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately
σ=69.7.You would like to be 99.5% confident that your estimate is within 2 of the true population mean. How large of a sample size is required?
Do not round mid-calculation. However, use a critical value accurate to three decimal places — this is important for the system to be able to give hints for incorrect answers.
Click here to see answer by CPhill(1959) |
Question 1168845: A survey of licensed drivers inquired about running red lights. One question asked, "Of every 10 motorists who run a red light, about how many do you think will be caught?" The mean result for 880 respondents was
¯x= 1.92. Suppose we know that
σ= 1.83. Compute a 95% confidence interval for the mean opinion in the population of all licensed drivers. (Round your answer to the nearest hundredth.)
(,)
Click here to see answer by CPhill(1959) |
Question 1167931: Use the upper and lower bound theorem find the smallest positive integer and largest negative integer that are upper and lower bounds , respectively for the real zeros of (B ) Approximate the real zeros of each polynomial to two P(x) decimal places .
P(x) = x ^ 4 - x ^ 3 - 8x ^ 2 - 12x - 25
Click here to see answer by mccravyedwin(407)  |
Question 1167931: Use the upper and lower bound theorem find the smallest positive integer and largest negative integer that are upper and lower bounds , respectively for the real zeros of (B ) Approximate the real zeros of each polynomial to two P(x) decimal places .
P(x) = x ^ 4 - x ^ 3 - 8x ^ 2 - 12x - 25
Click here to see answer by ikleyn(52781) |
Question 1167931: Use the upper and lower bound theorem find the smallest positive integer and largest negative integer that are upper and lower bounds , respectively for the real zeros of (B ) Approximate the real zeros of each polynomial to two P(x) decimal places .
P(x) = x ^ 4 - x ^ 3 - 8x ^ 2 - 12x - 25
Click here to see answer by Edwin McCravy(20055)  |
Question 1165912: A company makes pens. They sell each pen for $
5
.
Their revenue is represented by R = 5 x .
The cost to make the pens is $
1
each with a one time start up cost of $
4000
.
Their cost is represented by C = 1 x + 4000 .
a) Find the profit, P, (P = R - C) when the company sells 1000 pens.
Click here to see answer by ikleyn(52781) |
Question 1167555: A company that manufactures push scooters has a fixed cost of $10,000 costs $42 produce each scooterThe total cost for the company is the sum of cost and variable castcost function of the number of scooters produced xThen, find C(60) X
Click here to see answer by ikleyn(52781) |
Question 1200420: 29% adults favor the use of unmanned drones by police agencies. Twelve U.S. adults are randomly selected. Find the probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is (a) exactly three, (b) at least four, (c) less than eight.
Click here to see answer by ikleyn(52781) |
Question 1196378: Jonathan obtained his degree and started his own consulting company in January of 2010. At the end of each month he began saving R2 480.00 in his account and requested the bank to quarterly debit three month sum of his exact savings towards his individual retirement account for a total period of ten years. The retirement account earned interest at 11% per annum, compounded quarterly. The amount that was available to him after ten years in the retirement account is
Click here to see answer by ikleyn(52781) |
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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, 30241..30285, 30286..30330, 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33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105, 39106..39150, 39151..39195, 39196..39240, 39241..39285, 39286..39330, 39331..39375, 39376..39420, 39421..39465, 39466..39510, 39511..39555, 39556..39600, 39601..39645, 39646..39690, 39691..39735, 39736..39780, 39781..39825, 39826..39870, 39871..39915, 39916..39960, 39961..40005, 40006..40050, 40051..40095, 40096..40140, 40141..40185, 40186..40230, 40231..40275, 40276..40320, 40321..40365, 40366..40410, 40411..40455, 40456..40500, 40501..40545, 40546..40590, 40591..40635, 40636..40680, 40681..40725, 40726..40770, 40771..40815, 40816..40860, 40861..40905, 40906..40950, 40951..40995, 40996..41040, 41041..41085, 41086..41130, 41131..41175, 41176..41220, 41221..41265, 41266..41310, 41311..41355, 41356..41400, 41401..41445, 41446..41490, 41491..41535, 41536..41580
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