Express the product as a sum containing only sines or cosines.sin(4?) sin(7?)

A. [- cos(3?) - cos(11?)]
B. [cos(3?) - cos(11?)]
C. [cos(11?) - sin(3?)]
D. sin2(28?2)


Answer: B

Mathematics

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On a certain island there are initially 4.6 new species per year introduced. This number decreases by 4% each year. But conditions cause some species to become extinct. Initially 1.7 species per year become extinct. The number increases by 14% each year. ? A: Using N for new species per year, find a formula that gives the  number of new species per year introduced after t years. ? B: Using E for extinction rate, find a formula that gives the rate of extinction t years. ? C: Make a graph that shows both N and E over the first 10 years. ? D:  When will the rate of extinction be the same as the rate new species are being introduced? Round your answer to two decimal places if necessary.

What will be an ideal response?

Mathematics

Solve the problem. Round to the nearest hundredth, if necessary.Assume that the mean length of a human pregnancy is 268 days with a standard deviation of 9 days. What percentage of human pregnancies do we expect to last no more than 261 days?

A. 21.77% B. 22.66% C. 19.22% D. 21.19%

Mathematics

Solve the problem.The annual population density of a species of insect after n years is modeled by a sequence. Suppose that the initial density of insects is 628 with r = 1.6. Write a recursive sequence that describes this data, where an  denotes the insect density during year n.Find the terms a1 , a2 , a3 , ...... until you are able to interpret the results.

A. The population density increases by 60% per year. B. The population density decreases by 60% per year. C. The population density increases by 40% per year. D. The population density decreases by 40% per year.

Mathematics

Multiply.(x + )(x - )

A. x2 + 16x - 7
B. x2 - 16x - 7
C. x2 - 
D. x2 - 16

Mathematics