Amarine manufacturer will sell n(x) power boats after spending $x thousand on advertising, as given by upper n (x )equals 970 minus startfraction 3 comma 780 over x endfractionn(x)=970− 3,780 x, 5 less than or equals x less than or equals 305≤x≤30. (a) find upper n prime (x )n′(x). (b) find upper n prime (10 )n′(10) and upper n prime (20 )n′(20). write a brief verbal interpretation of these results.

How many days was the temperature above 90 degrees?

Determine which expressions represent real numbers and which expressions represent complex number. asaaap! plis!

Martha has a deck of cards. she has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. which activity would best allow martha to test her prediction? a. randomly draw a card from the box and see if it is a club. b. randomly draw a card. then, continue to draw another card until all eight clubs are drawn. c. randomly draw and replace a card 120 times. then, observe how close to 30 times a club is drawn. d. randomly draw and replace a card 100 times. then, observe how close to 20 times a club is drawn.