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1. Prove the following statement. If x is an even integer, then 4x+5 is an odd integer. (using format x = some k and so on)
2. Let A = {a1, a2} and B = {b1, b2, b3}. Let the function f:A → B be given by the following set of ordered pairs: f = {(a1,b2),(a2,b3)}. (10 points)
List as a set of ordered pairs a function g:B → A with the property that for all a in A g(f(a)) = a, and show that this property holds. HINT: Think of g as "undoing" what f does.
What would the logarithms of these three values be?
how do question content and wording response strategy and preliminary analysis planning affect question construction?
An upright cylindrical tank with a radius 5 m is being filled with water at a rate of 4 m cubed/minute. How fast is the height of the water increasing?
In one town 76% adults have health insurance. What is the probability that 8 adults selected at random from the town all have health insurance?
Prove the one point rule- ∃-version: |- (∃x)(x = t Λ A) ≡ A[x:= t] if x is sot free in t. Prove |- (∃x)(A Λ (∃y)(B Λ C)) ≡ (∃y)(B Λ (∃x)(A Λ C)), on the condition that y is not free in A and x is not free in B
Solve the given triangle.
In a simple linear regression analysis, the following sum of squares are produced: = 400 = 80 = 320
Suppose that Connecticut decided to increase its tax rates by 20% and add a filing fee of $100. Write a function for the new state income tax.
Find the formulas for computing the check digits for the international standard book number(ISBN),for both ISBN-10 and ISBN-13.Hence find the check digit for the book with ISBN '0-8176-4227'
The zeros of this polynomial are the eigen values for the system. So, to find the eigen values for a system means solving a polynomial equation.
Formulate null and alternate hypothesis
A trapezium with an area of 168cm squared has parallel sides of lengths 6cm and 18cm.
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