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Question 1176752: Using k as the constant of variation, write the equation of variation for each following.
1. The current l varies directly as the electromotive force E and inversely as as the resistance R.
2. The acceleration a of an object varies directly as the force f exerted and inversely as it's mass m.
3. The stiffness s of a beam varies directly as it's depth d and inversely as the square of the length l.
4. The time t required for an elevator to lift a weight varies directly with the distance d through which it is to be lifted and inversely with the power p of the motor.
5. The force f of attraction between two bodies varies directly as the product of their weights w and inversely as the square of the distance d between them.
6. The electrical resistance R of wire varies directly as it's length l and inversely as the square of its diameter d.
7. The acceleration A of a moving objects varies directly as the distance d inversely as the square of the time t.
Click here to see answer by n2(49)

Question 1210577: Find the derivative of y=x using the first principle of differenciation
2) y=2x²—x
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Question 1183412: A sector with an angle 110 degrees at the center of a circle is cut away from a circular piece of paper of radius 70cm. The remaining part is folded to form a cone. Find 1. the vertical angle of the cone 2. The angle of the sector.

Click here to see answer by n3(7)

Question 1210545: Gorimapa Nigeria plc has just received an order for it's bathroom cabinet which is made up of two kinds that is standard and deluxe. The order is for at least 200 bathroom cabinets of either varieties and including at least 60 of the deluxe kind. The standard model takes 4 hours of the assembling time and has a valuable cost of #4000 whereas the deluxe model takes 5 hours of assembling time and has a valuable cost of #6000 . There are 400 hours available for assembling time. The equipment can be used to assemble either kind of cabinet in any combination. The company's manager engages you as an expert and wishes to minimize the company's cost of this special order. You are required as an expert to formulate this problem in a linear programming form and using the graphical method advise the manager on the best product that will enable his firm to minimize it's cost
Click here to see answer by n2(49)

Question 1210537: The curve surface area of a cylinder is 1.5 times the total surface area of a cone. If the diameter of the cylinder and cone are equal to 10cm and the vertical height of the cone is 12cm. Calculate the height of the cylinder
Click here to see answer by ikleyn(53574)

Question 1210538: Find the values of x in the range 0°≤x≤360°, which satisfy the equation below
i) sin3xsinx = 2cos2x + 1
ii) 3cotx + tanx - 4 = 0

Click here to see answer by ikleyn(53574)

Question 1210538: Find the values of x in the range 0°≤x≤360°, which satisfy the equation below
i) sin3xsinx = 2cos2x + 1
ii) 3cotx + tanx - 4 = 0

Click here to see answer by CPhill(2189)

Question 1205029: A heavy cube of side 8cm is placed vertically in a cylindrical tank of radius 7cm which contains water.
Calculate the rise in the water level if the original depth of water was:
a) 10 cm
b) 2 cm
Click here to see answer by n2(49)

Question 426442: Solve log base 6 of x + log base 6 of (x+16)=2
Click here to see answer by MathTherapy(10704)

Question 1206821: The minute-hand of a clock is 6 cm long. How far does the end of the hand travel in 35 minutes?
Click here to see answer by ikleyn(53574)

Question 1188445: Simplify

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Question 446383: If Jill fills a pool with water in 30 min, jack fills a pool with water in 45 min and John fills a pool with water in 1 hour and 30 min. How long will it take if they work together.
Click here to see answer by math_tutor2020(3831)

Question 437259: Solve. A boat moves 5 kilometers upstream in the same amount of time it moves 17 kilometers downstream. If the rate of the current is 8 kilometers per hour, find the rate of the boat in still water.
A. 7 1/12 kilometers per hour
B. 3 1/3 kilometers per hour
C. 8 kilometers per hour
D. 14 2/3 kilometers per hour
Click here to see answer by ikleyn(53574)

Question 437121: 15. sue can shovel snow from her driveway in 30mins. jim can do the same job in 35mins. how long would i ttake sue and ime to shovel teh driveway if they worked together?
16.simplify by removing factors of 1 (7y-14)/2-y
Click here to see answer by josgarithmetic(39721)

Question 427596: when I open a book two page face me. the sum of the page number is 85. what are the page number ? if the sum is not give, but the product is gives to be 1806, how will your find the page number
Click here to see answer by ikleyn(53574)

Question 428529: find the distance between the points (12,8) and (4,2)
1. 100 units
2. 14 units
3. 10 units
4. -10 units
Find the midpoint of the points (3,1) and (7,-5)
1. (1,6)
2. (2,1)
3. (2,-3)
4. (5, -2)

Click here to see answer by ikleyn(53574)

Question 729458: A student scored 70 points on a test that had 4 seven- point fill in the blank questions and 24 three point multiple choice questions. If the student answered 1 fill in the blank question , how many multiple choice question did the student answer correctly?
Click here to see answer by ikleyn(53574)

Question 1165403: Dunder Mifflin supplies paper to corporate clients. An important client needs 1500 reams of paper.
Dunder Mifflin can procure the paper from several suppliers. The characteristics of the suppliers
are as follows:
Cost per ream Delivery time Reams available
Supplier A 3.50 5 days 200
Supplier B 2.00 10 days 600
Supplier C 6.50 15 days 600
Supplier D 5.00 4 days 200
Supplier E 4.00 6 days 200
When procuring the paper, Dunder Mifflin needs to ensure the following conditions are satisfied:
(a) The client requires that at least 500 of the 1500 reams be delivered within the next 7 days.
(b) In order to maintain good relations with Supplier C, Dunder Mifflin must order at least 100
reams from them.
(c) Because of a rivalry between supplier B and D, Dunder Mifflin must order at least as many
reams from supplier D as they do from supplier B.
(d) Each supplier has a limited number of reams of paper available, as shown in the table.
Formulate a linear optimization model to help Dunder Mifflin procure the paper at the lowest cost.
(You don’t need to find the optimal solution to the model you formulate.)
Click here to see answer by CPhill(2189)

Question 1210504: If A and B are positive 2 digest integers, how many solutions are there of the equation 2a+3b=100
Click here to see answer by greenestamps(13292)

Question 1210504: If A and B are positive 2 digest integers, how many solutions are there of the equation 2a+3b=100
Click here to see answer by math_tutor2020(3831)

Question 1210504: If A and B are positive 2 digest integers, how many solutions are there of the equation 2a+3b=100
Click here to see answer by ikleyn(53574)

Question 1210504: If A and B are positive 2 digest integers, how many solutions are there of the equation 2a+3b=100
Click here to see answer by MathLover1(20854)

Question 1210503: if Tom gives maria 30 cents, they will have equal amounts of money. But if Maria then gives Tom 50 cents, he will how have twice as much money as she does. how much does each have now?
Click here to see answer by ikleyn(53574)

Question 730245: In a lake, there is a patch of lily pads. Every day the patch doubles in size. If it takes 48 days for the patch to cover the entire lake, how long would it take for the patch to cover half of the lake?
Click here to see answer by MathTherapy(10704)

Question 730242: Let P(-3,6) and Q(10,1) be two points in the coordinate plane:
a. Find the distance between P and Q.
b. Find the slope intercept form of the equation of the line that contains P and Q.
c. Find an equation of the circle that contains P and Q and whose center is the midpoint of the segment PQ.
d. Find the equation for the line that contains P and that is perpendicular to the segment PQ.
e. Find an equation for the line that passes through the origin and that is parallel to the segment PQ.
Click here to see answer by josgarithmetic(39721)

Question 730255: An airplane is flying at a speed of 350 miles/hr at an altitude of one mile. The plane passes directly above a radar station at time t=0.
a. Express the distance s(in miles) between the plane and the radar station as a function of the horizontal distance d(in miles) that the plane has flown.
b. Express d as a function of the time t (in hours) that the plane has flown.
c. Use composition to express s as a function of t.
Click here to see answer by ikleyn(53574)

Question 732183: http://m1342.photobucket.com/albumview/albums/dwaejitokki8/8371012C-F285-4ACE-8AB9-0D35EFEB9459-715-000000814C93031F_zps2f0ef32b.jpg.html?o=0&newest=1
I know the answer is 2 cot u , but I want to know how to get to it. Please explain to me. Thank you!

Click here to see answer by ikleyn(53574)

Question 732535: If you get 78 out of 100 problems right on a test what is the percent of problems did you get right
Click here to see answer by ikleyn(53574)

Question 733032: In multiply and dividing rational expressions, how would you simplify 21x3y/14x2y2
(21x cubed y)/(14x squared y squared)
Click here to see answer by ikleyn(53574)

Question 734373: A train travelled from A to B and back in a certain time at rate of 60 km/hr. But if the train had travelled from A to B at the rate of 80 km/hr and back from B to A at the rate of 40 km/hr it would take 2 hours longer. find the distance between A to B.
Click here to see answer by josgarithmetic(39721)

Question 735604: Use interval notation to write the domain of the function.
g(x) = x/x-7
Click here to see answer by ikleyn(53574)

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, 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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, 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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, 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