Johnny is driving his bike when a tack becomes stuck in his tire. The tire had a radius of 32cm and makes one complete rotation every 0.5 seconds. Write a cosine function. Using your function figure out how high will the tack be above the ground 12.38 seconds after becoming lodged in his tired? Y=___cos(___x+___)+___

It will be cm high after 12.38 seconds. (Round to the nearest whole number)

Ametalworker has a metal alloy that is 30? % copper and another alloy that is 55? % copper. how many kilograms of each alloy should the metalworker combine to create 90 kg of a 50? % copper? alloy?

The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. complete parts (a) and (b) below. business degrees nonbusiness degrees total male 189131 634650 823781 female 169539 885329 1054868 total 358670 1519979 1878649 (a) find the probability that a randomly selected student is male, given that the student received a business degree. the probability that a randomly selected student is male, given that the student received a business degree, is nothing. (round to three decimal places as needed.) (b) find the probability that a randomly selected student received a business degree, given that the student is female. the probability that a randomly selected student received a business degree, given that the student is female, is nothing. (round to three decimal places as needed.)

What is the prime factorization of 23 ?me with this question