Solve the given initial-value problem. y'' + 9y = 0, y(0) = 6, y'(0) = −3

The two expressions below have the same value when rounded to the nearest hundredth. log5 b log9 48 what is the approximate value of log b to the nearest hundredth? 0.93 1.23 9.16 65.53

If cos(θ)=2853 with θin q iv, what is sin(θ)?

Arandom sample of n = 25 observations is taken from a n(µ, σ ) population. a 95% confidence interval for µ was calculated to be (42.16, 57.84). the researcher feels that this interval is too wide. you want to reduce the interval to a width at most 12 units. a) for a confidence level of 95%, calculate the smallest sample size needed. b) for a sample size fixed at n = 25, calculate the largest confidence level 100(1 − α)% needed.