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Advanced Math Answers
Upper Level Math
asked 2021-03-12
In one Tech region the number of students in Math 136 is 20% more than the number of students in Math 123. If there are 480 students in Maths 136, how many students are in Math 123?
Discrete math
asked 2021-03-11
is this true or false
\({6, {a, b, c}, {b, c, 8}} = {6, {a, b, c}, {b, c, 8}, ∅}\)
Discrete math
asked 2021-03-11
Factor
\(\displaystyle{f{{\left({x}\right)}}}={2}{x}^{{{3}}}+{\left(-{3}-{2}{i}\right)}{x}^{{{2}}}+{\left(-{3}-{i}\right)}{x}+{\left({2}+{i}\right)}\)
into linear factors if
\(\displaystyle{2}+{i}\)
is a zero of the function.
Discrete math
asked 2021-03-11
The following problem is solved by using factors and multiples and features the strategies of guessing and checking and making an organized list.
Problem
A factory uses machines to sort cards into piles. On one occasion a machine operator obtained the following curious result.
When a box of cards was sorted into 7 equal groups, there were 6 cards left over, when the box of cards was sorted into 5 equal groups, there were 4 left over, and when it was sorted into 3 equal groups, there were 2 left.
If the machine cannot sort more than 200 cards at a time, how many cards were in the box?
Discrete math
asked 2021-03-11
Give an example of a poset which has exactly one maximal element but does not have a greatest element.
Upper Level Math
asked 2021-03-08
\(\displaystyle{\left({x}^{{4}}{y}^{{5}}\right)}^{{\frac{{1}}{{4}}}}{\left({x}^{{8}}{y}^{{5}}\right)}^{{\frac{{1}}{{5}}}}={x}^{{\frac{{j}}{{5}}}}{y}^{{\frac{{k}}{{4}}}}\)
In the equation above, j and k are constants. If the equation is true for all positive real values of x and y, what is the value of j - k?
A)3
B)4
C)5
D)6
Upper Level Math
asked 2021-03-07
There is currently a global pandemic and many researchers and scientists are working assiduously to find a vaccine. Assume that Advanced Researcher, a company that is currently testing a few vaccines confirms an 80% chance of effectiveness of one of their vaccines.
Which probability distribution would you use to calculate the probability of success or failure of Advanced Researcher's vaccine if it were to be administered to people in society?
Upper Level Math
asked 2021-03-07
Find a square number such that when twice its root is added to it or subtracted from it, one obtained other square numbers. In other words, solve a problem of the type.
\(\displaystyle{x}^{{2}}+{2}{x}={u}^{{2}}\)
\(\displaystyle{x}^{{2}}-{2}{x}={v}^{{2}}\)
Discrete math
asked 2021-03-02
Using cardinatility of sets in discrete mathematics the value of N is real numbers Currently using elements of discrete mathematics by Richard Hammack chapter 18 Let A be a collection of sets such that X in A if and only if
\(X \supset N\ \text{and} |X| = n\)
for some n in N. Prove that
\(|A| = |N|\)
.
Upper Level Math
asked 2021-03-01
Using the Mathematical Induction to prove that:
\(\displaystyle{3}^{{{2}{n}}}-{1}\)
is divisible by 4, whenever n is a positive integer.
Discrete math
asked 2021-02-27
Which of the following are true statements?
a:2in{1,2,3}
b:{2}in{1,2,3}
c:2sube{1,2,3}
d:{2}sube{1,2,3}
e:{2}sube{{1},{2}}
f:{2}in{{1},{2}}
Upper Level Math
asked 2021-02-25
Paulie Gone has a shiny red wagon. When he puts his puppy, Hypotenuse, in the wagon, the wagon weighs in at 40 pounds. When Paulie rides the wagon by himself, the wagon weighs in at 64 pounds. Paulie weighs 3 times as much as Hypotenuse, how much does the empty wagon weigh?
Discrete math
asked 2021-02-22
prove or disprove the product of two distinct irrational numbers is irrational
Discrete math
asked 2021-02-22
Discrete mathematics cardinality using Richard Hammack's Elements of Discrete mathematics chapter 18 Prove that countable union of countable sets is countable.
Discrete math
asked 2021-02-19
For the following questions you must use the rules of logic (Don’t use truth tables)
a) Show that (
\(\displaystyle{p}\leftrightarrow{q}\)
) and (
\(\displaystyle\neg{p}\leftrightarrow\neg{q}\)
) are logically equivalent.
b) Show that not (
\(\displaystyle{p}\oplus{q}\)
) and (
\(\displaystyle{p}\leftrightarrow{q}\)
) are logically equivalent.
Upper Level Math
asked 2021-02-18
Approximate y(1,2), with h = 0.1 given that
\(\displaystyle{x}{y}'={y}-{2}{x}^{{2}},{y}{\left({1}\right)}={2}\)
, by RK-4 using 5-digits rounding.
Upper Level Math
asked 2021-02-15
Let Z be a cycle of generalized eigenvectors of a linear operator T on V that corresponds to the eingenvalue lambda.Prove that span(Z) is a T-invariant subspace of V.
Discrete math
asked 2021-02-12
A building code requires one square foot (sq ft) of net-free vent area (NFVA) for every 300 sq ft of attic space. How many square feet of NFVA are required for a
\(\displaystyle{1620}-{s}{q}-{f}{t}\)
attic?
Discrete math
asked 2021-02-09
Suppose n is an integer. Using the definitions of even and odd, prove that n is odd if and only if 3n+1 is even.
Discrete math
asked 2021-02-09
Consider the following recurrence relation:
\(\displaystyle{a}_{{n}}={2}\cdot{a}_{{{n}-{1}}}-{3}\ \text{with}\ {a}_{{1}}={5}\)
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