(6) show that every connected graph with j +1 vertices has at least j edges. hint: consider a proof by induction

32a³b² 8ab² simplify the following expression.

The relative growth rate for a certain type of fungi is 60% per hour.a small culture has formed and in just 6 hours the count shows to be 20,273 fungi in the culture.what is the initial number of fungi in the culture?

Grace is a 70-year old woman who paid the utility bill online for the first time. she called her bank's customer service center to make sure she had done the transaction successfully. but the voice recording repeatedly played a message that all representatives were busy, which irked grace. which factor would make grace not recommend the bank to others? a. absence of technology b. lack of accessibility c. lack of financial products d. poor reputation