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Tutors Answer Your Questions about Distributive-associative-commutative-properties (FREE)
Question 29354: Use the arithmetic sequence of numbers 2,4,6,8,10... to find the following:
1. 
2. Using the formula for the Nth term of an arithmetic sequence, what is 101st term?
3. Using the formula for the sum of an arithmetic series, what is the sum of the first 20 terms?
Click here to see answer by longjonsilver(2297)   |
Question 31362: I= {h(t)*([4]t^4 + [2]t^3 + [6]t^2 + [4]t + [5]) + k(t)*([3]t^3 + [5]t^2 + [6]t):h(t), k(t) belong to Z7[t]} which is a subset of Z7[t].
a) how do i show that I is an ideal of Z7[t]
b) find a polynomial d(t) belongs Z7[t] such that I=(d(t)), i.e. I is the principle ideal generated by d(t).
Click here to see answer by venugopalramana(3286) |
Question 32532: Think of a number.
Add 4.
Multiply by 2.
Subtract 6.
Divide by 2.
Subtract the number you started with.
The answer is always one.
How can I show why it must be true that for any number used in the first step always yield 1? or I need to find a number for which the HDP fails.
I also need to know how to come up with my own, more complicated procedure that always gives the answer one. Can you help?
Click here to see answer by Fermat(127)  |
Question 32678: I am totally confused here!
In the 9th century, Mahavira declared that n-0 equals n. Explain why this makes sense. Why might he not have considered 0-n.
I understand how Mahavira was involved but I can not find any reference to his thoughts on this equation.
Click here to see answer by benni1013(197) |
Question 32850: PLEASE NEED YOUR HELP
Which of the following functions are homomorphisms?
a) f: Z (right arrow), Z defined by f(x)= -x
b) f: Z2 (right arrow), defined by f(x)= -x
c) g: Q (right arrow), defined by g(x) = (1/(x^2+1))
d) h: R (right arrow), M2x2(R), defined by h(a)= {(-a,a) , (0,0)}
e) f: Z12 (right arrow) Z4, defined by f([x]12) = [x]4
Thank You
Click here to see answer by khwang(438) |
Question 32844: (a) Prove that the set S of rational numbers (in lowest term) with odd denominators is
a subring of Q.
(b) Let I be the set of elements of S with even numerators. Prove that I is an ideal in
S.
(c) Show that S/I consists of exactly two elements.
Thank You
Click here to see answer by khwang(438) |
Question 32844: (a) Prove that the set S of rational numbers (in lowest term) with odd denominators is
a subring of Q.
(b) Let I be the set of elements of S with even numerators. Prove that I is an ideal in
S.
(c) Show that S/I consists of exactly two elements.
Thank You
Click here to see answer by venugopalramana(3286) |
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