Tutors Answer Your Questions about Exponents (FREE)
Question 143073: These are the questions I'm having problems with:
24.b) (n+2)! / n! = 56
25. solve for n if P(n,3)=2C(n,2),n € N
28. How many 4-digit numbers can be formed from set A= {0,1,2,3,4,5,6} if there is no repetition ( note: 0123 is not a 4-digit number because it equals 123.)
d) How many of the numbers are divisible by 5? (Hint: you must consider 2 cases)
31. A club consists of 25 married couples. Determine ways a committee of 7 people can be formed from these couples a)if there are exactly 5 men on the committee,b) and if there must be at least 3 women and at least 2 men.
33.Find the first five terms in the expansion of (r - 2s)8
First 5 terms in expansion
(r - 2s)8 = (8 under it 0) r8 + (8 under it 1)(r9) (-25) + (8 under it 2)(r6) (-25)2 +(8 under it 3)(r5) (-25)3 + (8 under it 4)(r4) (-25)4
34. The first three terms in the expansion of (1+ay)^n are 1, 12y, and 68y^2
Evaluate a & n. Use the fact that
(1 + ay)n = 1 + nay + n(n-1)/2 (ay)2 + _ _ _
35. Not involving y in expression of ((1/y3(power of 3) +y2)
36. solve for n
b) P(n,5)= 20P(n,3)
Click here to see answer by nabla(475)  |
Question 143586: Madeline and Rufus are Chihuahuas and they are never indoors or outdoors at the same time; when one comes in, the other one goes out. Yesterday, Madeline spent 2/3 of the day indoors. How long did Rufus spend indoors? (Hint: they do this 24 hours a day, much to the dismay of their owners.
Click here to see answer by vleith(2983) |
Question 144113: I need some help with this problem please. Thanks.
(25x^3)^2/3 / (125xy^2)^1/3
Square the numerator so the NUM and DEN have the same exponent
 = 
With the same exponent, put them under one radical.
Then reduce to 
This is what I got as a solution:
16.67x^2 / 41.67xy^.66
Any help would be appreciated. thanks.
Click here to see answer by Alan3354(69443)  |
Question 144631: here is the question..... the starting salary for a first year teacher is 25700. each year the salary increases by 3% step and a 2.25% cost of living adjustment. how many years will it take for this teacher to make at least 40000 per year?.... that is the question but im just not sure how to set it up because there are two % ? if you can help that would be great thank you!
Click here to see answer by stanbon(75887) |
Question 144802: 28. How many 4-digit numbers can be formed from set A= {0,1,2,3,4,5,6}
if there is no repetition ( note: 0123 is not a 4-digit number
because it equals 123.)
d) How many of the numbers are divisible by 5? (Hint: you must consider
2 cases)
Click here to see answer by josmiceli(19441)  |
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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
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