Utility companies usually charge their customers based on the number of kilowatt-hours their customers consume in a period. Suppose the function A(p)=0.096p+19.50 represents the monthly charge, A, in dollars for a customer with Electric Company A consuming p kilowatt-hours of power. The function B(p)=0.104p+17.75 represents the monthly charge, B, in dollars for a customer with Electric Company B consuming p kilowatt-hours of power. Analyze the functions by interpreting the slope and y-intercept for each function in terms of the context for this situation. Then assess how the slope and y-intercept of Electric Company A compare with the slope and y-intercept of Electric Company B in this situation.

Which themes are portrayed in this excerpt from leo tolstoy’s the death of ivan ilyich? praskovya fedorovna came of a good family, was not bad looking, and had some little property. ivan ilyich might have aspired to a more brilliant match, but even this was good. he had his salary, and she, he hoped, would have an equal income. she was well connected, and was a sweet, pretty, and thoroughly correct young woman. to say that ivan ilyich married because he fell in love with praskovya fedorovna and found that she sympathized with his views of life would be as incorrect as to say that he married because his social circle approved of the match. he was swayed by both these considerations: the marriage gave him personal satisfaction, and at the same time it was considered the right thing by the most highly placed of his associates. so ivan ilyich got married. conforming to social conventions criticism of a middle class lifestyle the destructive impact of loneliness struggling to face reality the necessity of companionship

Find the pattern and use it to list the nth term in the sequence. 6, 12, 20, 30, 42, 56, the nth term of the sequence is

What is the volume of a cone with a height of 6 cm in the radius of 2 cm