Name the property illustrated by the statement.24 + (5 + 10) = (24 + 5) + 10
A. commutative property of addition
B. associative property of addition
C. identity element for addition
D. distributive property
Answer: B
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Provide an appropriate response.Given that we know the Fundamental Theorem of Calculus, why would we want to develop numerical methods for definite integrals?i) Antiderivatives are not always expressible in closed form.ii)Numerical methods are a good excuse to use our graphics calculator.iii) The function f(x) may not be continuous on [a,b].
A. Both i and iii are correct. B. Only ii is correct. C. Only iii is correct. D. Only i is correct.
Provide an appropriate response.
(i) List the sequence of hexagonal numbers. that corresponds to the sequence of dot patterns above. These are called (ii) What is the ninth hexagonal number?(III) Determine a formula for the nth pentagonal number pn.
A. (i) 1, 7, 22, 50, .... (ii) Ninth hexagonal number: 170 (iii) hn = (n + 1)(2n - 1) B. (i) 1, 6, 15, 28, .... (ii) Ninth hexagonal number: 41 (iii) hn = 5n - 4 C. (i) 1, 6, 15, 28, .... (ii) Ninth hexagonal number: 153 (iii) hn = n(2n - 1) D. (i) 1, 7, 22, 50, .... (ii) Ninth hexagonal number: 144 (iii) hn = 2n(n - 1)
Write the standard form of the equation of the circle with radius r and center (h, k).r = 5; (h, k) = (4, 0)
A. (x - 4)2 + y2 = 25 B. x2 + (y - 4)2 = 5 C. x2 + (y + 4)2 = 5 D. (x + 4)2 + y2 = 25
Solve the problem.An outdoor sports company sells 432 kayaks per year. It costs $12 to store one kayak for a year. Each reorder costs $8, plus an additional $7 for each kayak ordered. How many times per year should the store order kayaks in order to minimize inventory costs?
A. 23 B. 18 C. 20 D. 15