Questions on Algebra: Square root, cubic root, N-th root answered by real tutors!

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Question 123330: A company uses the fomula C(x)= 0.02x^2-3.4x+150 to model the unit cost in dollars for producing x stabilizer bars. For what number of bars is the unit cost at its maximum? What is the unit of cost at the level of production?
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Question 123335: Sharon's revenue R(in dollars) on the sales of x fruitcakes is determined by the fomula R=50x-x^2. Her cost C(in dollars) for producing x fruitcakes is given by the fomula C=2x+40.What value of x is Sharon's profit positive?
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Question 123333: An artist wants her painting to be in the shape of a golden rectangle. If the length of the painting is 36 inches, then what should be the width?
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Question 123336: The stabilization ratio (births/deaths) for south and Central America can be molded by formula y=-0.0012x^2+0.074x+2.69 where y is the number of births divided by the number of deaths in the year 1950+x. Use the formula to find the yea in which the stabilization ratio was at its maximum.
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Question 123332: Thomas is going to make an open -top box by cutting squares from four coners of an 11 inch by 14 inch sheet of cardboard and folding up the sides. If the area of the base is to be 80 ibches, then what size square should be cut from each corner?
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Question 123607: FInd all or imaginary solution to the equation.
6x^2+19x+31=0

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Question 123602: Solve the rational inequality. State and graph the soluton set.
a/a+2 is smaller than 0.

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Question 123331: Debbi traveled by boat by 5 miles upstream to fish in her favorite spot. Because of the 4-mhp current, it took her 20 minutes longer to get there than to return. How fast will her boat go in still water?
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Question 123925: Please can you help me with this problem?
sqrt 30x-15 = x+7

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Question 124116: The base of a ladder is 11 feet away from the wall. The top of the ladder is 11 feet from the floor. Find the length of the ladder to the nearest thousandth.
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Question 124211: Solve using the square root property
(x+8)^2=81

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Question 124218: +square root of 49a^4b^8c^12=?
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Question 124219: Can you please show me step by step how to solve the following;
Solve by completing the square
x^2+8x+13=0

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Question 124101: The base of a ladder is 11 feet away from the wall. The top of the ladder is 11 feet from the floor. Find the length of the ladder to the nearest thousandth.
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Question 124320: Thanks for your help

^4 sqrt 81

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Question 124355: a 6m ladder leans against a house so thats its base is 2 metres out from the bottom of the house how far up the house does the ladder reach
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Question 124542: Simplify 5(sqrt3x)+ 3(sqrt3x)
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Question 124526: Simplify.
1) square root of 98

2) square root of 48p to the 7th power q to the 4th power

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Question 124630: -9 root 72
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Question 124111: Evaluate ^4 SQRT 81 , if possible.

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Question 125120: .Good evening, can I please have some help on this one, i got x=8 please please show the steps so I can get a better understyanding ? Thank you very much. J. Rivera. the question is: Solve the following equations algebraically. You must show all your work.%5E3sqrtx-5=3 just in case you can't understand the question: "exponant 3 to the sqrt of x-5=3"
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Question 125455: this was given as a question in an assignment and i dont understand it.-2-sqrt12
please help me
thank you

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Question 125455: this was given as a question in an assignment and i dont understand it.-2-sqrt12
please help me
thank you

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Question 125580: what is the cube root of x+2 =6

what is the 5th power of x^2 -13 =1

what is the sq.root of 2x + 5 - the sq. root of x-2 = 3


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Question 125903: Factoring: Quadratic Equations and completing the square
x-1-6/x=0

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Question 125902: factoring: quadratic equations and completing the square
a^6-4a^3-21=0

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Question 125909: Solve by completing the square.
2x^2 + 8x – 9 = 0

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Question 125945: factoring: quadratic equations and completing the square
x^2-x+1/4
I don't know how to do this when it's a fraction, would i use completing the square?

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Question 125943: factoring: quadratic equations and completing the square
2a^2-5ab-3b^2=0
would i use complete the square to factor this? I'm not sure. Is there more than one way to do it?

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Question 125950: sqrt((5-sqrt20)^2)+ (sqrt(sqrt20-5))^2
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Question 126124: Evaluate each radiacal expression if it is a real number use a calculator toapproximate irrational numbers to nearest 100th. If the expression is not a real # so state.
Problem is
A negative in front of Cube root of negative 125.
Please tell me how to plug this into calcalator.
I am thinking this cannot be cubed.
Since 125 does not evenly divide out by 3.
It is a negative and then a negative number so would this be imaginary.
I am really struggling with math altogether so any help would truly be a blessing.
How can this be pluged into the calculator. A BII Plus texas or can it?

How does one plug in fractions into this calculator? or is it not possible?
Please help me.
Thank You.
02

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Question 126130: factoring: quadratic equations and completing the square
2a^2-5ab-3b^2

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Question 126222: (p^4)^5/p^7 I think I got this one. Is it p^2 ?
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Question 126219: The distance from a star to a planet is 8.1 * 10^17 m. How long does it take light, traveling at 10^16 m/year, to travel from the star to the planet?
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Question 126783: SIMPLIFYING SQUARE ROOTS
Q: How do you simply a square root like these?:
The square root of 169
and then the square root of 25 over 64



Sorry I dont know how to do the square root sign

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Question 126786: Simpliflying Square Roots
How to simply these:
1. 5 * 30
2. 64/48
3. 75
4. 35/7

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Question 126785: Simplifying Square Roots
How to simply these square roots;
1. 25
2. 3 * 7
3. 48/27
4. 300

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Question 126808: How to Simply Square Roots;


1. 25/64
2. 36
3. 3*6
4. 50/10
5. 12/9
6. 64
7. 40
8. 99
9. 196
10. 32
11. 90
12. 324
13. 24
14. 84

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Question 127494: 4squrt[18]+2squrt[32]-squrt[8]
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Question 127495: (squrt[6]+3sqrt[2])(4squrt[6]-5sqrt[2]) multipy
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Question 127616: WHAT IS THE CUBE ROOT OF 90?

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Question 127832: A^2 + 8^2=17^2
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Question 127870: Please help me solve this equation: √75
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Question 127874: For a polynomial of the form ax2 + bx + c = 0 to have real solutions, √(b2 – 4ac) must be a real number. Which of the following polynomials have real solutions?
a. x2 – 12x + 3 = 0

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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