Questions on Algebra: Real numbers, Irrational numbers, etc answered by real tutors!

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Question 1045589: using the set builder notation give description of the following:
{0,3,6,9,12}
Click here to see answer by Edwin McCravy(20054)

Question 1046219: solve the question in the real number system. x^4-3x^3+5x^2-x-10=0
Click here to see answer by josgarithmetic(39613)

Question 1046200: 3,-5,-2.5,1

Click here to see answer by Edwin McCravy(20054)

Question 1046255: Solving the equation in the real number system. x^4-3x^3+5x^2-x-10=0
Click here to see answer by josgarithmetic(39613)

Question 1046300: Solve the equation in the real number system. x^4 - 3x^3 + 5x^2 - x - 10 = 0
Click here to see answer by josgarithmetic(39613)

Question 1046378: y= 3
y= ax^2 + b
In the system of equations above, a and b are constants. For which of the following values of a and b does the system of equations have exactly two real solutions?
A) a= -2, b= 2
B) a= -2, b= 4
C) a= 2, b= 4
D) a= 4, b= 3
Click here to see answer by josgarithmetic(39613)

Question 1046565: When the natural numbers 1,2,3,....,500 are written, then the digit 3 is used n times in this way.find the value of n ?
Click here to see answer by josmiceli(19441)

Question 1046680: What two irrational numbers multiplied give a product of a rational number?

Click here to see answer by Alan3354(69443)

Question 1047199: A rectangular floor in my office has its area equal to 56 m^2. The minimum number of tiles required, if all the tiles are in square shape.
options are:
(1)15
(2)9
(3)14
(4)can't be determined
Click here to see answer by jim_thompson5910(35256)

Question 1047751: Two stock cars race on a 5km circuit and pass a marked simultaneously. How long will it take the faster car to gain one lap on the slower if their average speeds are:
120km/h and 100km/h?
It says on the answer sheet the answer is 15 minutes, I'd much appreciate it if someone would teach me.
Click here to see answer by Alan3354(69443)

Question 1047752: When a band marches in rows of 2,3,4,5 or 6 there is always one member left over.
What is the least number of members in the band if there are no members left over when marching in rows of 7?
The answer is said to be 301. Problem solving this question would be much appreciated!
Click here to see answer by Edwin McCravy(20054)

Question 1047924: What categories does -4.5 fit into? a natural, whole, integer, rational,irrational or real
Click here to see answer by jim_thompson5910(35256)

Question 1047944: Solve for C
A=Cr^2(Pi)+h
Click here to see answer by josgarithmetic(39613)

Question 1048388: 4 bells toll at intervals of 8,9,12,15 minutes respectively, if they toll together at 3 pm, when will they toll together again?
Click here to see answer by Alan3354(69443)

Question 1048462: I cant understand how to figure out natural, whole, integer, rational, terminating, repeating, and irrational numbers. I have 5 problems (square root of 14, one third, square root of 2, two thirds, and -10) please help
Click here to see answer by MathLover1(20849)

Question 1048728:
Click here to see answer by Alan3354(69443)

Question 1048747: Part (a): Find the sum
a + (a + 1) + (a + 2) + ...+ (a + n - 1)
in terms of a and n.
Part (b): Find all pairs of positive integers (a,n) such that n >= 2 and
a + (a + 1) + (a + 2) + ... + (a + n - 1) = 100.
Click here to see answer by solver91311(24713)

Question 1048890: Which property of real numbers is shown below?
-6(4x + 5) = -24x - 30
Click here to see answer by MathLover1(20849)

Question 1049117: Find 10 rational no. Between 2 and 3

Click here to see answer by solver91311(24713)

Question 1049176:
Choose the set(s) of numbers to which 1.68 belongs.
A. rational numbers
B. natural numbers, whole numbers, integers, rational numbers
C. rational numbers, irrational numbers
D. none of the above

Click here to see answer by KMST(5328)

Question 1049157: Between what two integers does each of the following real numbers lie?
1. negative square root of 416
2. square root of 1.44
3. negative square root of 738
4. square root of 2009
thank you so much
Click here to see answer by Alan3354(69443)

Question 1049319: solve
x/2 - x/5 = 1/4
Click here to see answer by ikleyn(52747)

Question 1049319: solve
x/2 - x/5 = 1/4
Click here to see answer by hussamuddin(51)

Question 1049276: 2.Which of the following numbers could be described as an integer that is a Natural, Rational and Whole Number?
a.0
b.1
c.2.33
d.-3

Click here to see answer by MathLover1(20849)

Question 1049419: In the opposite figure :
If the area of triangle AMB equals 8 centimeter square,
Find the length of arc AB
file:///C:/Users/TULIPE/Desktop/images%20(2.png

Click here to see answer by ikleyn(52747)

Question 1049533: Please help me i am stuck and cant get past this question
Name all the sets of REAL numbers to which the number - 5/8 belongs. __________________________________________________________
Click here to see answer by rothauserc(4718)

Question 1049594: if x+1/x=3 then find the value of x^3+1/x^3
Click here to see answer by ikleyn(52747)

Question 1049795: what number is half way between -3 and -15
Click here to see answer by advanced_Learner(501)

Question 1049795: what number is half way between -3 and -15
Click here to see answer by MathLover1(20849)

Question 1049886: A rectangle�s length is about 19 inches greater than its width. If the perimeter is 50 inches, what is the area of the rectangle?
Click here to see answer by Cromlix(4381)

Question 1050403: 9+(2+7)=(9+2)=18
Click here to see answer by Alan3354(69443)

Question 1050489: z varies directly as x3 and inversely as y3. If z = 132 when x = 9 and y = 3, find z if x = 10 and y = 9.
Click here to see answer by stanbon(75887)

Question 1050499: If y is directly proportional to the square root of x and y = −51 when x = 529, find y if x = 279841.
Click here to see answer by Alan3354(69443)

Question 1050501: If y varies directly as x and y = 13 when x = 27, find y if x = 44
Click here to see answer by Boreal(15235)

Question 1050511: The length that a hanging spring stretches varies directly with the weight placed at the end of the spring. If a weight of 16 lb stretches a certain spring 19 in., how far will the spring stretch if the weight is increased to 32 lb?
Click here to see answer by LinnW(1048)

Question 1050506: The lifting force, F, exerted on an airplane wing varies jointly as the area, A, of the wing's surface and the square of the plane's velocity, v. The lift of a wing with an area of 210 square feet is 17,300 pounds when the plane is going 80 miles per hour. Find the lifting force on the wing if the plane speeds up to 170 miles per hour.
Click here to see answer by Theo(13342)

Question 1050634: The resistance, R, of a wire varies directly as its length and inversely as the square of its diameter. If the resistance of a wire 3100 ft long with a diameter of 0.07 inches is 16262 ohms, what is the resistance of 900 ft of the same type of wire with a diameter of 0.05 inches?
Click here to see answer by Fombitz(32388)

Question 1050642: z is jointly proportional to x2 and y2. If z = 422 when x = 6 and y = 7, find z when x = 5 and y = 5.
Click here to see answer by rothauserc(4718)

Question 1050648: If y is directly proportional to x2 and y = 365 when x = 15, find y if x = 10.
Click here to see answer by Sir226(11)

Question 1050653: The distance that a free falling object falls is directly proportional to the square of the time it falls (before it hits the ground). If an object fell 45 ft in 7 seconds, how far will it have fallen by the end of 8 seconds? (Leave the variation constant in fraction form or round to at least 2 decimal places. Round your final answer to the nearest foot.)
Click here to see answer by Sir226(11)

Question 1050635: The gravitational force, F, between an object and the Earth is inversely proportional to the square of the distance from the object to the center of the Earth. If an astronaut weighs 202 pounds on the surface of the Earth, what will this astronaut weigh 200 miles above the Earth? Assume that the radius of the Earth is 4000 miles.
Click here to see answer by josmiceli(19441)

Question 1051694:

Evaluate the discriminant for the following equation. Then use it to determine the number of distinct solutions, and tell whether they are rational, irrational, or nonreal complex numbers.

4 x squared plus 5 x plus 1 equals 04x2+5x+1=0

The discriminant is
nothingm. (Simplify your answer.)
Determine the number of distinct solutions, and tell whether they are rational, irrational, or nonreal complex numbers. Choose the correct answer below.

Click here to see answer by josgarithmetic(39613)

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