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Tutors Answer Your Questions about Square-cubic-other-roots (FREE)
Question 154434: Hint for this assignment Pay attention to the units of measure. You may have to convert from feet to miles several times in this assignment. YOu can use 1 mile = 5,280 feet for your conversions.
1. many people know that the weight of an object varies on different planets, but did you know that the weight of an object on earth also varies according to the elevation of the object? In particular, the weight of an object follows this equation: w=Cr^-2, where C is a constant, and r is the distance that the object is from the center of the Earth.
A. sovle the equation w=Cr^-2 for r
b. Suppose that an object is 100 pounds when it is at sea level. Find the value of C that makes the equation true. (Sea level is 3,963 miles from the center of the Earth)
C. Use the value of C you found in the previous question to determine how much the object would weigh in
i. Death valley (282 feet below sea level)
ii. The top of Mt Mckinley (20,320 feet above sea level)
2. The equation D=1.2 sq root of h gives the distance, d, in miles that a person can see to the horizon from a height, h, in feet.
a. solve this equation for h
b. Long's peak in the rocky mountain national park, is 14,255 feet in elevation. How far can you see to the horizon from the top of Long's peak? can you see cheyenne, wyoming (about 89 miles away)? Explain your answer.
Click here to see answer by stanbon(75887) |
Question 154863: 12/√(5x+6)=√(2x+5)
Ok I know you square each side to come up with 144/5x+6=2x+5
Then you multiply 5x+6 to each side.
144=(5x+6)(2x+5)
144=10x^2+25x+12x+30
move 144 to the other side of the equal which makes
0=10x^2+37x-114
0=(2x )(5x )
I can not figure out what goes along with 2x and 5x to make it equal.
Thanks
Click here to see answer by Fombitz(32388)  |
Question 155266: To simplify the expression into the form x^r*y^s we first rewrite each term in fractional powers:
{{ sqrt (x^2*y^2) = x^1*y^1 }},
{{ 3 sqrt (x^5*y^4) = x^(5/3)*y^(4/3) }}
and {{ 5 sqrt (x^5) = x^1 }}.
Combining all the powers we get
= x^__*y^__.
Click here to see answer by checkley77(12844) |
Question 155713: 3 square root sign 64x7 divided by 3 square root sign 4x
I have asked this question before and a person was kind enough to answer it and it is greatly appreciated...but I do not understand how the person got the answer and the answer is not one of the multiple choice answers. The three before the square is what I believe is called a n-th root...but I could be wrong... I am confused by this whole problem. The multiple choice answers are
1. x^2 3square root sign 4
2. x 3square root sign 16
3. 4x^2 3square root sign 4x^2
4. x^2 3square root sign 16
Click here to see answer by Earlsdon(6294) |
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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
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