Function f is a logarithmic function with a vertical asymptote at x=0 and an x-intercept at (4,0). The function is decreasing over the interval (0, infinite). Function g is represented by the equation g(x)= log2(x+3)-2.

Over which interval are both functions positive?

Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e.g. 98.76543).

Aculture started with 2,000 bacteria. after 8 hours, it grew to 2,400 bacteria. predict how many bacteria will be present after 19 hours . round your answer to the nearest whole number. p=ae^kt

Which term below correctly completes the following sentence? if a function has a vertical asymptote at a certain x value, then the function is what at that value