Find the sum of this series \displaystyle \log\left(\frac{1}{2}\right)+\log\l eft(\frac{2}{3}\right)+\log\left(\f rac{3}{4}\right)+\log\left(\frac{4} {5}\right)+...+\log\left(\frac{98}{ 99}\right) +\log\left(\frac{99}{100}\right)log ( 2 1 ​ )+log( 3 2 ​ )+log( 4 3 ​ )+log( 5 4 ​ )+...+log( 99 98 ​ )+log( 100 99 ​ )

On new year's day, the average temperature of a city is 5.7 degrees celsius. but for new year's day 2012, the temperature was 9.8 degrees below the average. i) if a represents the average temperature on new year's day and 7 represents the temperature on new year's day 2012, what formula accurately relates the two values together? ii) what was the temperature on new year's day 2012? dt a 0.8 ii) - 4 1 degrees celsius da-t-98 ii) 59 degrees celsius 1) 7 = -9,8 11) 59 degrees celsius ii) l degrees celsius

Aculture started with 2,000 bacteria. after 8 hours, it grew to 2,400 bacteria. predict how many bacteria will be present after 19 hours . round your answer to the nearest whole number. p=ae^kt

The length of an intercepted arc of a central angle of a circle is 4 cm. if the radius of the circle is 5 cm what is the measurement of the central angle to the nearest whole degree