Astore sells cans of paint for $8 each, and brushes for $12 each. if they sell 100 items, and
make $880, how many cans and brushes did they sell?
a

60 cans, 30 brushes
b

80 cans, 20 brushes
c

40 cans, 40 brushes
d

20 cans, 50 brushes

Carl's candies has determined that a candy bar measuring 3 inches long has a z-score of +1 and a candy bar measuring 3.75 inches long has a z-score of +2. what is the standard deviation of the length of candy bars produced at carl's candies?

Evaluate 8x2 + 9x − 1 2x3 + 3x2 − 2x dx. solution since the degree of the numerator is less than the degree of the denominator, we don't need to divide. we factor the denominator as 2x3 + 3x2 − 2x = x(2x2 + 3x − 2) = x(2x − 1)(x + 2). since the denominator has three distinct linear factors, the partial fraction decomposition of the integrand has the form† 8x2 + 9x − 1 x(2x − 1)(x + 2) = correct: your answer is correct. to determine the values of a, b, and c, we multiply both sides of this equation by the product of the denominators, x(2x − 1)(x + 2), obtaining 8x2 + 9x − 1 = a correct: your answer is correct. (x + 2) + bx(x + 2) + cx(2x − 1).

Each flyer costs $0.25. our total budget is $555. it will cost $115 for other supplies. about how many flyers do you think we can buy? a.)less than 1,000 flyers b.)between 1,000 and 2,000 flyers c.)10,000 flyers d.)greater than 2,000 flyers