Reagan and Nathan are 45 miles apart on a bike trail when they start pedaling toward each other on their bicycles. Reagan rides at a constant speed of 8 miles per hour, and Nathan rides a constant speed of 10 miles per hour. How far apart will they be after one hour?

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).

Factor this polynomial completely. 12x^2+ x-6

Solve the right triangle abc with right angle c, if b=30 degrees, and c = 10 a.) a=5, b=5, a=60 degrees b.) a=5, b=8.6602, a=60 degrees c.) a=5.7735, b=11.5470, a=60 degrees d.) a=8.6602, b=5, a=60 degrees