Questions on Word Problems: Miscellaneous Word Problems answered by real tutors!

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Question 1119871: A point moves on the parabola y^2 = 8 in such a way that the rate of change of the ordinate is always 5 units per second. How fast is the abscissa changing when the ordinate is 4?
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Question 1119870: An object moves along a straight path at a speed v(t) = 4t^2 + 3t + 2 in m/s, where t = time in seconds. Find the distance travelled after 4 seconds.
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Question 1119872: A rectangular box with a square base and open top is to be made. Find the volume of the largest box that can be made from 432 sq. m. of material.
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Question 1119872: A rectangular box with a square base and open top is to be made. Find the volume of the largest box that can be made from 432 sq. m. of material.
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Question 1119872: A rectangular box with a square base and open top is to be made. Find the volume of the largest box that can be made from 432 sq. m. of material.
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Question 1119869: If s = t^3-5t^2+5t-3, when will the velocity be at 2?
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Question 1119869: If s = t^3-5t^2+5t-3, when will the velocity be at 2?
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Question 1119873: The base and the base angles of an isosceles triangle are increasing at the respective rates of 2 ft/s and 5 degrees/sec. When the base is 10 ft long and the base angles are 45°, find the rate at which the altitude is increasing?
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Question 1119907: A rock is thrown upward with a speed of 48 feet per second from the edge of a cliff 400 feet above the ground. What is the speed of the rock when it hits the ground? Use acceleration due to gravity as -32 feet per second squared.
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Question 1119907: A rock is thrown upward with a speed of 48 feet per second from the edge of a cliff 400 feet above the ground. What is the speed of the rock when it hits the ground? Use acceleration due to gravity as -32 feet per second squared.
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Question 1119927: Hi
if theta is in the second quadrant, state whether the following the following is positive or negative.
Cos(180 degrees - theta)
Thanks

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Question 1119908: Use the mid-point rule with n = 4 to approximate the area of the region bounded by y = -x^3 and y = -x.
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Question 1120062: Jessica has half of her investments in stock paying a 6% dividend and the other half in a stock paying 9% interest. If her total annual interest is $630, how much does she have invested?

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Question 1119906: Electricity is consumed between the hours of midnight (t = 0) and 6 a.m. (t = 6). Selected values of the rate of consumption are shown in the table below, with t measured in hours past midnight, and R(t) measured in KW per hour. Use 4 trapezoids to estimate the total amount of electricity to the nearest KW consumed between midnight and 6 a.m.
t (hours) 0 1 2 5 6
R(t) KW/hr 400 200 350 200 150

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Question 1120109: A science article refers to a temperature of 300.0 K. What is the equivalent Celsius and Fahrenheit temperatures?
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Question 1120115: Maria and Josie are also figuring out the dimensions of the runners’ corral at the start line. To accommodate the number of projected runners, they’ve determined that they need a minimum area of 29,040 square feet in the corral. They have 1,364 feet of temporary fence barriers to set up the corral. They are leaving one end of the rectangular corral open as shown in the image.
Click here to see answer by ikleyn(52747) About Me 

Question 1120164: A 50.0 g silver spoon at 20.0 0C is placed in a cup of coffee at 90.0 0C. How much heat will the cooler spoon absorb from the warmer coffee in order to reach a warmer temperature of 89 0C?
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Question 1120194: Hi
a rectangular tank of height 1.2m and base area 3130cm^2 is half filled with water.when 62.6litres of water is added to the tank, it becomes 2/3 full.
What will be the new height of the water if another 1565cm^3 is added to the tank.
thanks

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Question 1120206: How much time elapses between seeing and hearing an event that occurs 400.0 meters from you?
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Question 1120207: An echo bounces off of a building exactly 1.0 s after you honk your car horn. How many meters away is the building if the air temperature is 20.0 0C?
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Question 1120237: Hi
two circles have the same diameter of 14cm. The area where the circles overlap is 32cm^2.
What is the shaded area.
Thanks

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Question 1120253: It would take an hour for plane A to meet plane B. If the distance between them will be 200 miles in 45 minutes, how far are they now?
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Question 1120254: If Amy can read the book in b hours, what portion of the book does she read each hour?
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Question 1120257: If I can do 1/d of my homework in an hour, how many hours will it take me to finish my homework?
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Question 1120256: If I can do 1 d of my homework in an hour, how many hours will it take me to finish my homework?
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Question 1120305: How much less than 3x^2−7x+9 is 2x^2+4x−8?
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Question 1120319:
A roulette wheel contains 38 numbers ​(18 are​ red, 18 are​ black, and 2 are​ green). When the roulette wheel is​ spun, the ball is equally likely to land on any of the 38 numbers. Suppose that you bet ​$8 on red. If the ball lands on a red ​number, you win ​$8​; otherwise you lose your ​$8. Let X be the amount you win on your ​$8 bet. Then X is the random variable whose probability distribution is as follows.

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Question 1120336: Hi
could you please confirm if this is correct.
Since 1+tan^2×=sec^2× does this mean that sec^2-1= -tan^2×
thanks

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Question 1120337: Hi
sorry my mistake. It should be is 1-sec^× = -tan^2×
thanks

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Question 1120419: Factor: 9(p−1)+(p−1)^2
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Question 1120419: Factor: 9(p−1)+(p−1)^2
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Question 1120417: The square of a number is added to five. The sum is then divided by six. The result is 7/2.
Find the number(s).

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Question 1120417: The square of a number is added to five. The sum is then divided by six. The result is 7/2.
Find the number(s).

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Question 1120422: A step-up transformer has a primary coil with 100 loops and a secondary coil with 1500 loops. If the primary coil is supplied with a household current of 15 A at 120 V
i. What voltage is produced in the secondary circuit?
ii. What current flows in the secondary circuit?

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Question 1120423: d. The step-down transformer in a local neighborhood reduces the voltage from a 7200 V line to 120 V at the house. Using the relationships between electrical quantities in a transformer, answer the following.

1.
i. If there are 125 loops in the secondary coil, how many are there in the primary coil?
ii. What current does the transformer draw from the line if the current in the secondary coil is 36 A?
iii. What are the power input and output?

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Question 1120477: Cucumbers are on sale, so you buy 29 pounds of them at the local market for your restaurant. Each cucumber is actually 99% water. A few days later, the cucumbers have dried out to the point that each is now 91% water. How much do all your cucumbers weigh at this time?
Click here to see answer by Boreal(15235) About Me 
Question 1120477: Cucumbers are on sale, so you buy 29 pounds of them at the local market for your restaurant. Each cucumber is actually 99% water. A few days later, the cucumbers have dried out to the point that each is now 91% water. How much do all your cucumbers weigh at this time?
Click here to see answer by rothauserc(4718) About Me 
Question 1120477: Cucumbers are on sale, so you buy 29 pounds of them at the local market for your restaurant. Each cucumber is actually 99% water. A few days later, the cucumbers have dried out to the point that each is now 91% water. How much do all your cucumbers weigh at this time?
Click here to see answer by ikleyn(52747) About Me 
Question 1120477: Cucumbers are on sale, so you buy 29 pounds of them at the local market for your restaurant. Each cucumber is actually 99% water. A few days later, the cucumbers have dried out to the point that each is now 91% water. How much do all your cucumbers weigh at this time?
Click here to see answer by greenestamps(13195) About Me 
Question 1120477: Cucumbers are on sale, so you buy 29 pounds of them at the local market for your restaurant. Each cucumber is actually 99% water. A few days later, the cucumbers have dried out to the point that each is now 91% water. How much do all your cucumbers weigh at this time?
Click here to see answer by Shin123(626) About Me 

Question 1120497: Like any company that sells you a product, the power company from which you get electricity charges you per unit energy. In the case of the power company the unit of energy used is the kilowatt-hour. Using the mathematical definition of electrical power, show that the kilowatt-hour is a unit of energy.
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Question 1120506: A round iron bar weighing 1.5 lbs. per ft. is used to make rivets 7.5 oz. each. Calculate number of rivets made, and amt. of waste produced.

Unsure how to solve. Non-homework.

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Question 1120506: A round iron bar weighing 1.5 lbs. per ft. is used to make rivets 7.5 oz. each. Calculate number of rivets made, and amt. of waste produced.

Unsure how to solve. Non-homework.

Click here to see answer by addingup(3677) About Me 

Question 1120496: Long conductive wires, such as those that carry electricity from the power plant to you the customer, tend to get very hot due to the amount of current as well as the amount of conductive material through which the electrons have to travel. Given that Pin > Pout and that P = I V, explain why power companies “step up” the generated voltage (~ 13,000 V) to multiple times that value (~ 360,000 V).
Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 1120496: Long conductive wires, such as those that carry electricity from the power plant to you the customer, tend to get very hot due to the amount of current as well as the amount of conductive material through which the electrons have to travel. Given that Pin > Pout and that P = I V, explain why power companies “step up” the generated voltage (~ 13,000 V) to multiple times that value (~ 360,000 V).
Click here to see answer by Alan3354(69443) About Me 

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, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690