In Exercises 23-30, solve algebraically for exact solutions in the interval [0,2pi). Use your grapher only to support your algebraic
work.
24. cos 2x + sin x = 0
23. cos 2x + cos. x = 0
25. cos .x + cos 3.x = 0
26. sin x + sin 3x = 0
In Exercises 31-36, use half-angle identities to find an exact value
without a calculator.
31. sin 15°
32. tan 1950
33. cos 75°
34. sin (5/12)
36. cos (w/8)
35. tan (7/12)

F(x)=x^3+4 question 6 options: the parent function is shifted up 4 units the parent function is shifted down 4 units the parent function is shifted left 4 units the parent function is shifted right 4 units

To finance her community college education, sarah takes out a loan for $2900. after a year sarah decides to pay off the interest, which is 4% of $2900. how much will she pay

Christine wong has asked dave and mike to her move into a new apartment on sunday morning. she has asked them both, in case one of them does not show up. from past experience, christine knows that there is a 40% chance that dave will not show up and a 30% chance that mik a. what is the probability that both dave and mike will show up? (round your answer to 2 decimal places.) b. what is the probability that at least one of them will show up? c. what is the probability that neither dave nor mike will show up? (round your answer to 2 decimal places.)e will not show up. dave and mike do not know each other and their decisions can be assumed to be independent.