<prompt> Fumana equation ea molao oa Moore ho data e fanoeng.Palo ea li-transistors ho potoloho e kopaneng e imena habeli ka mora lilemo tse ling le tse ling tse peli  <response>: Instruction in English: Derive the Moores law equation from the given data. . Response in English: Moores law is a prediction made by Gordon Moore in 1965 that the number of transistors on an integrated circuit would double every two years.Given the information provided in the input, we can derive the equation for Moores Law as follows:Let Nt Number of transistors on an integrated circuit at time t.Let t be measured in years.Since the number of transistors is doubling every two years, we can model this growth as an exponential function. Let the initial number of transistors on an integrated circuit be N0, then after 1 doubling period of 2 years, the number of transistors will be 2N0. After 2 doubling periods of 2 years, the number of transistors will be 22N0 and so on. We can represent this pattern generally as:Nt N0 2 t 2where t is in years and t2 represents the number of doubling periods that have occurred.This is the derived equation for Moores Law. . Response in Sesotho: Molao oa Moore ke polelo e boletsoeng esale pele e entsoeng ke Gordon Moore ka 1965 hore palo ea li-transistors ka potoloho e kopaneng e tla imena habeli ka mora lilemo tse ling le tse ling tse peli. Ka lebaka la tlhahisoleseding e fanoeng ka kenyelletso, re ka fumana equation ea Molao oa Moore ka tsela e latelang: Let Nt Palo ea li-transistors ka potoloho e kopantsoeng ka nako t. A re lekanyetsoe ka lilemo. Kaha palo ea li-transistors e imena habeli ka mora lilemo tse ling le tse ling tse peli, re ka etsa mohlala oa kholo ena e le tsebetso ea exponential. Lumella palo ea pele ea li-transistors ka potoloho e kopantsoeng e be N 0, ebe ka mora nako ea 1 habeli ea lilemo tse 2, palo ea transistors e tla ba 2 N 0. Ka mora linako tse 2 tse habeli tsa lilemo tse 2, palo ea li-transistors e tla ba 2 2 N 0 joalo-joalo. Re ka emela paterone ena ka kakaretso joalo ka: Nt N0 2 t 2 moo t e leng ka lilemo le t2 e emela palo ea linako tse habeli tse etsahetseng. Ena ke equation e nkiloeng bakeng sa Molao oa Moore. 