Um gerente de uma loja de bolsas verificou que quando se produziam 500 bolsas por mês, o custo total da empresa era R$ 25.000,00 e quando se produziam 700 bolsas o custo mensal era R$ 33.000,00. a) Admitindo que o gráfico do custo mensal (y) em função do número de bolsas produzidas por mês (x) seja formado por pontos de uma reta, obtenha a função que o representa. b) Se a capacidade máxima de produção da empresa for de 900 unidades por mês, obtenha o custo máximo de produção desta empresa.

Which value of m will create a system of parallel lines with no solution? y= mx - 6 8x - 4y = 12

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.

Find the volume of the solid whose base is the region bounded by f(x), g(x) and the x-axis on the interval [0, 1], and whose cross-sections perpendicular to the y-axis are squares. your work must show the integral, but you may use your calculator to evaluate it. give 3 decimal places for your answe