Explore the fact that for relatively small values of n, algorithms with larger orders can be more efficient than algorithms with smaller orders. Suppose that when run with an input of size n, algorithm A requires 10^6 n^2 operations and algorithm B requires n^3 operations. a. What are orders for algorithms A and B from among the set of power functions? b. For what values of n is algorithm A more efficient than algorithm B? c. For what values of n is algorithm B at least 100 times more efficient than algorithm A?

Agroup of randomly selected apple valley high school students were asked to pick their favorite gym class. the table below shows the results of the survey. there are 528 students at apple valley high school. gym class number of students racquet sports 1 team sports 9 track and field 17 bowling 13 based on the data, what is the most reasonable estimate for the number of students at apple valley high school whose favorite gym class is bowling? choose 1 answer a. 9 b. 13 c. 119 d. 172

Rewrite the following quadratic functions in intercept or factored form. show your work. y = x^2 + 7x + 10

Ariana starts with 100 milligrams of a radioactive substance. the amount of the substance decreases by 20% each week for a number of weeks, w. the expression 100(1−0.2)w finds the amount of radioactive substance remaining after w weeks. which statement about this expression is true? a) it is the difference between the initial amount and the percent decrease. b) it is the difference between the initial amount and the decay factor after w weeks. c) it is the initial amount raised to the decay factor after w weeks. d) it is the product of the initial amount and the decay factor after w weeks.