Use the Principle of Mathematical Induction to show that the statement is true for all natural numbers n.Show that the statement "
is a prime number" is true for 
, but is not true for 
.
What will be an ideal response?
When 
, which is a prime number, so the statement is true when 
. When 
, 
, which is not a prime number, so the statement is not true for 
.
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Find the cubic or quartic function that models the data in the table.
(Cubic)
A. y = 0.38x3 - 5.35x2 + 24.97x - 33.40 B. y = 0.28x3 - 5.35x2 + 22.97x - 33.40 C. y = 0.28x3 - 4.35x2 + 24.97x - 33.40 D. y = 0.38x3 - 4.35x2 + 22.97x - 33.40
Solve the system by the substitution method.
A. (1, 0), (-1, 0) B. (1, 0) C. (-1, 0) D. ?
The lists below show five agricultural crops in Alabama, Arkansas, and Louisiana.AlabamaArkansasLouisianasoybeans (s)soybeans (s)soybeans (s) peanuts (p)rice (r)sugarcane (n)corn (c)cotton (t)rice (r)hay (h)hay (h)corn (c)wheat (w)wheat (w)cotton (t)Let U be the smallest possible universal set that includes all of the crops listed; and let A, K, and L be the sets of five crops in Alabama, Arkansas, and Louisiana, respectively. Find the indicated set.K' ? L
A. {h, w} B. {c, n} C. {c, n, p} D. {r, s, t}
Provide an appropriate response.You are asked to change 
to a mixed number. What should be your first step?
A. Multiply 25 and 24. B. Divide 24 by 25. C. Add 25 and 24. D. Divide 25 by 24.