Answer: 203,280
Step-by-step explanation:
Given: A catering service offers 11 appetizers, 12 main courses, and 8 desserts.
Number of combinations of choosing r things out of n =
A customer is to select 9 appetizers, 2 main courses, and 3 desserts for a banquet.
Total number of ways to do this:
hence , this can be done in 203,280 ways.
Answer:
D. 4a³ + 24ab² - 25b³
Step-by-step explanation:
Simplify the given polynomial expression to find its equivalent as follows:
(2a - 3b)(2a² + 6b²) + (6a²b + 12ab² - 7b³)
2a(2a² + 6b²) -3b(2a² + 6b²) + (6a²b + 12ab² - 7b³)
4a³ + 12ab² - 6a²b - 18b³ + 6a²b + 12ab² - 7b³
Collect like terms
4a³ - 6a²b + 6a²b + 12ab² + 12ab² - 18b³ - 7b³
4a³ + 24ab² - 25b³
Therefore, 4a³ + 24ab² - 25b³ is equivalent to the polynomial expression, (2a - 3b)(2a² + 6b²) + (6a²b + 12ab² - 7b³).
Answer:
sin(θ) = -5/13
Step-by-step explanation:
Answer:
Step-by-step explanation:
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