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Question 1182474: Retail revenue each year from Internet shopping is approximated by the function

where f(t) is measured in billions of dollars and t is measured in years, with t=0 corresponding to the beginning of 1997.
How fast was the retail revenue/year from Internet shopping changing at the beginning of the year 2000?

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Question 1182473: Find the accumulated amount A if the principal P = RM11,000 is invested at the interest rate of r = 5% per year for t = 5.5 years, compounded quarterly.
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Question 1182534: Starting from rest, a particle moving in a straight line has an acceleration,𝒂 = (πŸ‘π’• βˆ’ πŸ“)π’Ž/π’”πŸ, where t is in seconds. What is the particle’s velocity when t= 6s, and what is its position when t = 11 s? At what time will it reach a velocity of 2 m/s?

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Question 1182534: Starting from rest, a particle moving in a straight line has an acceleration,𝒂 = (πŸ‘π’• βˆ’ πŸ“)π’Ž/π’”πŸ, where t is in seconds. What is the particle’s velocity when t= 6s, and what is its position when t = 11 s? At what time will it reach a velocity of 2 m/s?

Click here to see answer by ikleyn(52776) About Me 

Question 1182580: Is the point (2,7) a solution to this nonlinear system?
1. 2x + y = 11
y = xΒ² + 3

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Question 1182581: Is the point (5,3) a solution to this nonlinear system?
1. xΒ² - 3y = 34
2x + y = 7

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Question 1182581: Is the point (5,3) a solution to this nonlinear system?
1. xΒ² - 3y = 34
2x + y = 7

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Question 1182578: Solve the system by using the substitution method:
1. y = (x + 3)^2 - 1
y = 2x + 5

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Question 1182579: Solve the system by using Elimination Method:
1. 3xΒ² + yΒ² = 21
4xΒ² - 2yΒ² = -2

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Question 1182579: Solve the system by using Elimination Method:
1. 3xΒ² + yΒ² = 21
4xΒ² - 2yΒ² = -2

Click here to see answer by ikleyn(52776) About Me 
Question 1182579: Solve the system by using Elimination Method:
1. 3xΒ² + yΒ² = 21
4xΒ² - 2yΒ² = -2

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

Question 1182601: A rectangle is drawn so the width is 5 inches longer than the height. If the rectangle's diagonal measurement is 28 inches, find the height.
Click here to see answer by ikleyn(52776) About Me 
Question 1182601: A rectangle is drawn so the width is 5 inches longer than the height. If the rectangle's diagonal measurement is 28 inches, find the height.
Click here to see answer by MathTherapy(10551) About Me 

Question 1182600: A rectangle is drawn so that the width is 3 feet shorter than the length. The area of the rectangle is 70 square feet. Find the length of the rectangle.

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Question 1182620: Convert each of these linear equations into the form Y = mX + c,where a and b are constants. State clearly what the variables X and Y and the constants m and c represent.
1) y = a/b-x
2) y(y-a) = x - b
3) mx^2 + ny^2 = x

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Question 1182620: Convert each of these linear equations into the form Y = mX + c,where a and b are constants. State clearly what the variables X and Y and the constants m and c represent.
1) y = a/b-x
2) y(y-a) = x - b
3) mx^2 + ny^2 = x

Click here to see answer by ikleyn(52776) About Me 

Question 1182716: A car starting from rest is given a constant acceleration of 5m/s^2. (a) In how many seconds will it attain a velocity of 100 m/s^2? (b) How far will it have traveled in this same time?

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Question 1182717: A plane requires a speed of 100km/h at takeoff to be airborne. If it can be
accelerated at the rate of 8000 km/h^2, what should be the minimum length of runway if the plane starts with zero velocity at one end of the runway?

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Question 1182718: The net force on a 2-kg body is 6 N. If the body is originally travelling with a velocity of 8 m/s, and if the force applied is opposite to the velocity, find the distance it will move before coming to rest.
Click here to see answer by ikleyn(52776) About Me 

Question 1182715: The functional relation between the displacement π‘₯ in meters and the time 𝑑 in
seconds is given by π‘₯ = 𝐴𝑑
2 + 𝐡𝑑 + 𝐢 where 𝐴, 𝐡, and 𝐢 are constants. Find the
functional relationship between the (a) velocity and the time, and (b) acceleration
and the time. What are the values of the velocity and the acceleration at the instant
𝑑 = 4 π‘ π‘’π‘π‘œπ‘›π‘‘π‘ ?

Click here to see answer by ikleyn(52776) About Me 

Question 1182787: What constant force is needed in order to increase the speed of a car from 30 km/h to 60 km/h in a time of 6s if the mass of the car is 2400 kg?

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Question 1182786: The following are given: m1 = 10 kg, m2 = 5 kg, ΞΈ=60o, and the coefficient
of friction between the inclined plane and block m1 is 0.10. When the system is in motion after being released from rest, what is (a) the tension in the string and (b) the acceleration of the system?

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Question 1182784: The coefficient of static friction between a 20-kg block and a horizontal surface is 0.25 and the coefficient of kinetic friction is 0.15. A cord is attached to the block, the cord making an angle of 10 degrees with the horizontal. (a) What tension in the cord will just start the block? (b) What is the tension in the cord when the block moves with uniform velocity?
Click here to see answer by ikleyn(52776) About Me 

Question 1182785: A block of mass m1 is on a plane inclined at angle ΞΈ with the horizontal. It
is attached to another mass m2 by means of a string, that passes over a pulley at the top of the incline. For m1 = 6 kg, m2 = 4 kg, ΞΈ = 10o, and the coefficient of kinetic friction between the incline plane and m1 is 0.20, find the (a) acceleration of the masses and (b) tension in the string when the system is moving.

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Question 1182783: A string attached to a body of mass 4 kg which rests on a frictionless plane that is inclined 30o with the horizontal. The string passes over a pulley at the upper end of the plane and another body of mass 3 kg is attached to the other end of the string, this body hanging vertically. (a) Find the direction and magnitude of the acceleration of the two bodies and (b) the tension in the string.
Click here to see answer by Solver92311(821) About Me 
Question 1182783: A string attached to a body of mass 4 kg which rests on a frictionless plane that is inclined 30o with the horizontal. The string passes over a pulley at the upper end of the plane and another body of mass 3 kg is attached to the other end of the string, this body hanging vertically. (a) Find the direction and magnitude of the acceleration of the two bodies and (b) the tension in the string.
Click here to see answer by ikleyn(52776) About Me 

Question 1182815: Determine the complete factorization for the function g(x)=x^4 - 16
I believe that it is (x^2+8) (x^2-2) but I’m not really sure I’m how to do this. Please help me answer this I learned it about three years ago but I forgot how to.

Click here to see answer by ikleyn(52776) About Me 

Question 1182828: At the instant a truck is travelling along a level pavement at 20 m/s, a wooden crate falls from the truck. If the crate travels 40 meters before coming to rest, what is the coefficient of kinetic friction between the crate and the road?
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Question 1182827: A block project up an inclined plane at 20 degrees with horizontal and the block has an initial velocity of 6 m/s. If the coefficient of kinetic friction is 0.25, how far will the block go up the plane?
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Question 1182826: A 2 kg block is pulled with uniform speed up a plane which makes 30 degrees with the horizontal by a force of 15 N which is parallel to the plane. Find the coefficient of kinetic friction between the block and the plane.

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Question 1182825: A small particle is placed at the edge of a phonograph turntable of diameter 30 cm. If the turntable rotates at 45 revolutions per minute, what must be the coefficient of friction so the particle will bot slide out?
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Question 1182824: A block is started from rest at the top of an inclined plane 6 meters long which makes 45 degrees with the horizontal. The coefficient of friction between the block and the plane is 0.20. At the foot of the plane, the block continues to move along a horizontal surface. If the coefficient of friction between the block and the horizontal surface is 0.15, how far does the block go along the horizontal surface?
Click here to see answer by ikleyn(52776) About Me 

Question 1182843: A small particle is placed at the edge of a phonograph turntable of diameter 30 cm. If the turntable rotates at 45 revolutions per minute, what must be the coefficient of friction so the particle will bot slide out?

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Question 1182844: A 50 N block is placed on a smooth inclined plane which is 5 meters long and 3 meters high. (a) What force parallel to the plane and applied to the block will keep the block in equilibrium? (b) What force is applied by the plane to the block?
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Question 1182842: Two masses 6.0 kg and 9.0 kg are hung from the two ends of a cord which passes over a smooth pulley so that the two masses hang freely. If initially the 9.0 kg mass is 4 meters from the floor, how long will it take this mass to reach the floor after the masses are released?

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Question 1182845: A uniform beam 3m long weighs 100N. Loads of 50 N and 150 N are placed on the
beam at points which are Β½ m and 2Β½ m, respectively, from its left end. If the beam is kept in a horizontal position by supports at its two ends, find these reactions.

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Question 1182908: Given that f : x maps to ax + b and f^3 : x maps to 27x + 26, Find the value of a and of b, Find an expression for f^4
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Question 1182908: Given that f : x maps to ax + b and f^3 : x maps to 27x + 26, Find the value of a and of b, Find an expression for f^4
Click here to see answer by robertb(5830) About Me 

Question 1182914: A flower garden is a 240-degree sector with a 9-meter radius. Find the area of the garden in terms of πœ‹ square meters.
Click here to see answer by josgarithmetic(39616) About Me 

Question 1182951: Given that function f : x maps to 2/ax + b , such that f(0) = -2 and f(2) = 2, Find the values of a and of b, find the values of x for which f(x) = x , Show that f(p) + f(-p) = 2f(p^2)
Click here to see answer by robertb(5830) About Me 

Question 1182953: Two functiona f and g are defined by f : x maps to 1/x+1 and g : x maps to x/x-2. Find the values of x for which f(x) = 10g(x)
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Question 1182984: Find the solutions of the equation cos 2x + cos π‘₯ + 1 = 0 in the interval [0, 2πœ‹). Check your answer if it is a solution or not.
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Question 1183006: Write a PHP program to swap two variables.
The output should be like:
The number before swapping is: Number a=15 and b=27
The number after swapping is: Number a=27 and b=15

I used this :
$a = 15;
$b = 27;

echo "\nThe Number before swapping is:\n";
echo "Number a = ".$a." and b = ".$b."\n";

$temp = $a;
$a = $b;
$b = $temp;

echo "\nThe number after swapping is: \n";
echo "Number a = ".$a." and b = ".$b."\n";
?>
But cannot figure how to get the lines separated comes out as one solid row vs the way I inputted above a row for each statement.
Thank You

Click here to see answer by ikleyn(52776) About Me 

Question 1183019: 1. Juan earns $11 per hour and works at most 30 hours per week. Identify the independent and dependent quantity in the situation, and find reasonable domain and range values.
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Question 1183067: Functions f and g are defined on the set of real numbers by f : x maps to 3/x+2, x is not equal to k and g : x maps to 2x + 1. State the value of k , Express fg in similar form and state the value of x for which fg is not defined, find the value of p for which f^-1(p) = g(9)
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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