The musical note E can be modeled by the function, y = asin(1320πx), where a = 1 and x is the time in seconds. Playing note E on your computer, you notice that it is not loud enough to be heard across the room. What change can you make to the function to make note E louder than the original? Let a 0. Let a > 0 and a 1 or a < –1.

Two times a number plus three times another number equals 4. three times the first number plus four times the other number is 7. find the numbers

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).

What adds to be the bottom number but also multiplies to be the top number with 8 on the bottom and 15 on top