A harmonic wave is traveling along a rope. The oscillator that generates the wave completes 40.0 vibrations in 22.3 s. A given crest of the wave travels 369 cm along the rope in a time period of 13.5 s. What is the wavelength

Explanation:

frequency of vibration

n = 40 / 22.3 per second.

= 1.794 per second

velocity of wave v = 369 / 13.5 cm / s

= 27.33 cm / s

wavelength = velocity / frequency

= 27.33 / 1.794

= 15.23 cm

answer: at 24 february, 2014 the population gets twice of its initial population.

explanation:

since we have given that

the population for alpha city, t years after january 1, 2004 is given as

first we find out the initial population, i.e. t=0,

so, our quadratic equation becomes,

according to question, we have said that if the population has twice its initial population, then it becomes

so, time taken to reach this above mentioned population is given by

now, we know that time can't be negative so, we take t=9.149 years.

hence, at 24 february, 2014 the population gets twice of its initial population.

the answer is 12 as i may remember

: )