Let U = { all soda pops}, Let A ={ all diet soda pops} B={ all cola soda pops}, C= { all soda cola pops in cans}, D = all caffeine -free soda pops}. Describe the sets in words. a.(A intersect B) intersect C' b. (A u D) intersect C' c.(A' intersect B')u C d. (A-D) intersect B e. (B intersect C') u (C intersect B ...continues
Explain why the polynomial H(x) = x^5 + x^4 + x^3 + x^2 + 1 is irreducible over the integers.
Explain why the polynomial H(x) = x^5 + x^4 + x^3 + x^2 + 1 is irreducible over the integers.
Find the Cartesian Product 1. A={12, 9, 10} B={14, 4} Find A x B Find the indicated cardinal number.Please show work. 2. Find n(C x D) given that C = {4, 5, 6 } and D={7, 8, 9, 10} Statements and non-statement Determine and justify whether the sentence is a statement. 3. The orbit of Uranus lies completely wit ...continues
Solve the problem using algebra. 1 Find the Celsius temperature(to the nearest degree when Fahrenheit temperature is 9 degrees by solving the equation 59= 9/5 C +32, where F is the Fahrenheit temperature (in degrees and C is the Celsius temperature. 2. A square plywood platform has a perimeter which is 7 times the length of ...continues
Please explain thoroughly the solution for the problems. 1 .What is the complement of the supplement of an angle measuring 130 degrees?
Statements- Nonstatements- negations of statement
Determine whether the sentence is statement. Please justify. a. Does she always act like that in public/ b. 7+8 =16 c. Pick up a paper on the way home. d. No professional hockey player has ever gone on to become a news announcer. e. This test is too hard. Form the negation of the statement. f. Today is June 11. g.O ...continues
Convert the symbolic compound statement into words. a. p represents the statement " It's raining in Chicago." q represents the statement " It's windy in Boston." Translate the following compound statement into words. p v q b.p represents the statement " It's Monday." q represents the statement" It's raining toda ...continues
[C:R]=2. Explain why this fact implies every complex number satsifies a polynomial with....
We know that [C:R]=2. Explain why this fact implies every complex number satisfies a polynomial with real number coefficients of degree 1 or 2.
Choose the correct conclusion and why. Choose the one alternate that best completes the statement or answers the question. 1. As a special promotion, the Green Thumb organic foods chain said that everyone who came to one of their stores between noon and 1pm on January 4 would be offered a free loaf of 23-grain bread. They di ...continues
Let K/F be an extension of fields. Let a be an element of K such that a^2 is algebraic over F. Prove that a is also algebraic over F.