Rewrite the function f of x equals 7 times one half to the 3 times x power using the properties of exponents.
f of x equals 7 times three sixths to the x power
f of x equals 7 times one eighth to the x power
f of x equals 21 times three sixths to the x power
f of x equals 343 times one eighth to the x power

What number should be added to both sides of the equation to complete this square? x^2-10x=7

Find the greatest common factor of the polynomial: 10x^5+15x^4-25x^3 10x^5 x^3 5x^3 5

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).