Assume that a vowel is one of the letters a, e, i, o, u, or y (for the purposes of this problem, we will ignore the fact that y is not always a vowel.) (a) how many ten-letter sequences from the alphabet contain exactly three vowels? (b) how many of the sequences from part (a) have at least one repeated letter?

What is the most accurate measurement of 1 pound

Achemist has 200 ml of a 10% sucrose solution. she adds x ml of a 40% sucrose solution. the percent concentration, y, of the final mixture is given by the rational function: the chemist needs the concentration of the final mixture to be 30%. how many milliliters of the 40% solution should she add to the 10% solution to get this concentration?

Aladder that is 20ft long is leaning against the side of a building. if the angle formed between the ladder and the ground is 75 degrees how far is the bottom of the from the base of the building?