Tutors Answer Your Questions about Linear Algebra (FREE)
Question 52767: An open-top box is to be constructed from a 6 by 8 foot rectangular cardboard by cutting out equal squares at each corner and the folding up the flaps. Let x denote the length of each side of the square to be cut out.
a) Find the function V that represents the volume of the box in terms of x.
Click here to see answer by ankor@dixie-net.com(22740)   |
Question 53339: The volume of a cylinder (think about the volume of a can) is given by V = πr2h where r is the radius of the cylinder and h is the height of the cylinder. Suppose the volume of the can is 100 cubic centimeters.
a) Write h as a function of r. Keep "" in the function's equation.
Answer
b) What is the measurement of the height if the radius of the cylinder is 2 centimeters? Round your answer to the nearest whole number.
Answer
Show work in this space
c) Graph this function.
Show graph here
Click here to see answer by Earlsdon(6294) |
Question 53145: A traveling salesman (selling shoes) stops at a farm in the Midwest.Before he could knock on the door,he noticed an old truck on fire. He rushed over and pulled a young lady out of the flaming truck. Farmer Brown came out and gatefully thanked the traveling salesman for saving his daughter's life. Mr. Brown insisted on giving the man an award for his heroism. So, the saleman said, "If you insist, I do not want much. Get your checkerboard and place one penny on the first square. Then place two pennies on the next square. Then place four pennies on the third square. continue this until all 64 square are covered with pennies." As he'd been saying pennies for over 25 years, Mr. Brown did not consider this much of an award, but soon realized he made a miscalculation on the amount of money involved.
(a) How much money expresses in dollars would Mr. Brown have to put on the 32nd square? (b) How much money expressed in dollars would the traveling salesman recieve in total if the checkerboard only had 32 squares? (c) Calculate the amount of money necessary to fill the whole checkerboard (64 squares).How money expressed in dollars would the farmer need to give the salesman?
Click here to see answer by venugopalramana(3286) |
Question 53852: The problem is---Through (2, -7); perpendicular to 5x+2y=18
I am supposed to find an equation of the line satisfying the given conditions, and then write the equation in slope intercept form (y=mx+b)
Thank you!
Click here to see answer by checkley71(8403) |
Question 54056: Dear Sir
As a 72 year old, interested in numbers and algebra, but with very limited knowledge on the subject, I have been trying to algebraically solve the following problems, rather than by trial and error or a process of elimination.
abc=a+b+c, 1x2x3=1+2+3=6
abc=(a+b+c)² 8x16x72=(8+16+72)² 9216=96²
abcd=(a+b+c+d)² 2x4x6x12=(2+4+6+12)² 576=24²
Click here to see answer by aaaaaaaa(138) |
Question 54917: there are two types of fish in the lake. fish type A has a current population of 5750 and is decreasing by 250 fish per year. fish type B has a current population of 3500 and is increasin by 500 per year. in how many years will the fish population in the lake be the same and what will the total fish population be?
Click here to see answer by stanbon(75887) |
|
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
|
