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

Tutors Answer Your Questions about real-numbers (FREE)

Question 1110203: The height of a square-based pyramid is units and the length of the side of its base is units. Find the volume of the pyramid, expressing the answer in the simplest surd form. (Volume = 1/3 area of base � height).
Please Help! Thank you!!
Click here to see answer by ikleyn(53727)

Question 744576: Find the remainder when is divided by 2013 .

Click here to see answer by ikleyn(53727)

Question 650721: If f(x) is a polynomial function of degree greater than 2, and f(x) has only one zero, then can you say whether the zero is real or complex?
Please explain, I'm confused. Thanks.
Click here to see answer by ikleyn(53727)

Question 1209262: True or false
(a) If p is rational, then p^2 is rational.
(b) If p is irrational, then p^2 is irrational.
(c) If p^2 is rational, then p is rational
Click here to see answer by math_tutor2020(3835)

Question 1208451: The safe load, L, of a wooden beam supported at both ends varies jointly as the width, w, and the square of the depth, d, and inversely as the length, l. A wooden beam 8in.
wide, 8in.
deep, and 5ft
long holds up 15106lb
. What load would a beam 9in.
wide, 5in.
deep, and 18ft
. long, of the same material, support? Round your answer to the nearest integer if necessary..

Click here to see answer by greenestamps(13320)

Question 1208452:
Click here to see answer by timofer(155)

Question 1208400: List the numbers in set F that are natural, integers, rational, irrational and real.

F = {-sqrt{2}, pi + sqrt{2}, (1/2) + 10.3}

Natural = none
Integers = none
Rational = (1/2) + 10.3
Irrational = every element in set F
Real = every element in set F
You say?
Click here to see answer by ikleyn(53727)

Question 1208268: is -5 irrational?
Click here to see answer by ikleyn(53727)

Question 1208268: is -5 irrational?
Click here to see answer by math_tutor2020(3835)

Question 1207827: A. Give an example in which the result of raising a rational number to a rational power is an irrational number.

B. Give an example in which the result of raising an irrational number to a rational power is a rational number.
Click here to see answer by Edwin McCravy(20077)

Question 1207826: Give an example of irrational numbers a and b such that the indicated expression is (a)rational and (b)irrational.
A. a + b
B. a - b
C. a•b
D. a/b

I would 2 samples for each, if possible.

Click here to see answer by ikleyn(53727)

Question 1207368: Can an irrational number raised to an irrational power yield an answer that is rational? This problem shows that the answer is “yes.” (However, if you study the following solution very carefully, you’ll see that even though we’ve answered the question in the affirmative, we’ve not pinpointed the specific case in which an irrational number raised to an irrational power is rational.)
(a) Let A = (sqrt{2})^(sqrt{2}). Now, either A is rational or A is irrational. If A is rational, we are done. Why?

(b) If A is irrational, we are done. Why?

Hint:Consider A^(sqrt{2}).
Click here to see answer by ikleyn(53727)

Question 1206550: per-pupil costs (in thousands of dollars) for cyber charter school tuition for school districts in three areas are shown. test the claim that there is a difference in means for the three areas, using an appropriate parametric test. area 1 6.2 9.3 6.8 b.1 b.7 7.5 area 2 7.5 8.2 8.5 8.2 7.0 9.3 area 3 5.8 6.4 5.6 7.1 3.0 3.0 solution: ss de
Click here to see answer by ikleyn(53727)

Question 1206522: State with a cogent reason whether or not the relationship: y=√x³ represents y as a function of x for both variables coming from the real number system
Click here to see answer by greenestamps(13320)

Question 1206491: is -36/4 an integer or non integer

Click here to see answer by MathLover1(20855)

Question 1206313: The set of all y such that y - 2 is greater than -5 and less than or equal to 7.
Click here to see answer by ikleyn(53727)

Question 1206291: The set of all y such that y - 2 is greater than -5 and less than or equal to 7.
Click here to see answer by greenestamps(13320)

Question 1206291: The set of all y such that y - 2 is greater than -5 and less than or equal to 7.
Click here to see answer by MathLover1(20855)

Question 1206149: I need help with the last two problems.

Click here to see answer by MathLover1(20855)

Question 1206149: I need help with the last two problems.

Click here to see answer by math_tutor2020(3835)

Question 1206067: Evaluate the piecewise defined function at the indicated values.
f(x) = 2 if x ≤ 4
= 4x − 3 if x > 4
f(−5) =
f(0) =
f(4) =
f(5) =
f(7) =

Click here to see answer by ikleyn(53727)

Question 1204881: Tell which real number corresponds to the situation.
During a year, a person saves 1500 dollars.
What is the corresponding number for this sentence?
Click here to see answer by MathLover1(20855)

Question 1204219: I need to factor h^3-25. I've tried but I always get h in there. I've done (h)(h+5)(h-5) or (h)(h^2-25) but I always get h^3-25h. There is no perfect cube so I am struggling. Thank you
Click here to see answer by math_tutor2020(3835)

Question 1204033: what set does -7 belong to

Click here to see answer by MathLover1(20855)

Question 1203869: find the range of f(x) = sqrt(floor(x)-3)
Click here to see answer by MathLover1(20855)

Question 1203870: find the range of f(x) = sqrt(floor(x)-3)
Click here to see answer by MathLover1(20855)

Question 1203734: What set does 5 1/3 and 3 belong to?
Click here to see answer by ikleyn(53727)

Question 1203099: If we place a 3 at both ends of a number, its value is increased by 3372. Find the original number.
Click here to see answer by ikleyn(53727)

Question 1203095: When Ibuprofen is given for fever to children 6 months of age up to 2 years, the usual dose is 5 milligrams (mg) per kilogram (kg) of body weight when the fever is under 102.5 degrees Fahrenheit. How much medicine would be usual dose for a 18 month old weighing 45.3 pounds?

______ milligrams
Click here to see answer by MathLover1(20855)

Question 1203072: Four 3-megawatt wind turbines can supply enough electricity to power 3000 homes.
How many turbines would be required to power 25898 homes? __________ 3 megawatt turbines. Round to the nearest whole number.
Click here to see answer by greenestamps(13320)

Question 1203089: x*y=2x-y find the value of y if y*(3*y)=6
Click here to see answer by ikleyn(53727)

Question 1203089: x*y=2x-y find the value of y if y*(3*y)=6
Click here to see answer by math_tutor2020(3835)

Question 1203089: x*y=2x-y find the value of y if y*(3*y)=6
Click here to see answer by Theo(13342)

Question 1203089: x*y=2x-y find the value of y if y*(3*y)=6
Click here to see answer by Alan3354(69443)

Question 1202869: Please help me solve these equations
1) x + y + z = 3
x + 2y - z = 2
x + yz + zx = 3
2) x +yz = 2
y + zx = 2
z + xy = 2
Click here to see answer by MathTherapy(10791)

Question 1202869: Please help me solve these equations
1) x + y + z = 3
x + 2y - z = 2
x + yz + zx = 3
2) x +yz = 2
y + zx = 2
z + xy = 2
Click here to see answer by ikleyn(53727)

Question 1202869: Please help me solve these equations
1) x + y + z = 3
x + 2y - z = 2
x + yz + zx = 3
2) x +yz = 2
y + zx = 2
z + xy = 2
Click here to see answer by Alan3354(69443)

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