The population of a colony of mosquitoes obeys the law of uninhibited growth. Use this information to answer parts (a) through (c). (c) How long is it until there are 10,000 mosquitoes? About \( \square \) days (Do not round until the final answer. Then round to the

Fast food places sometimes advertise that you can buy some number of a particular set of items for a fixed price. The most elaborate one that I can remember was when Arby's offered 5 for \( \$ 5 \) (later \( \$ 5.95, \$ 6.95 \ldots \), It varied how many items were part of the deal, but at the peak, there were 9 options. (I don't recall what they were, but probably something like: soda, curly fries, beef melt, ham melt, turnover, shake, chicken sandwich, mozzarella sticks, potato cakes) 1. How many options are there to order 5 items from 9 choices? Assume that we cannot duplicate any option and that the order is important.

APLICA \( \rightarrow \) Practica. Dibuja las gráficas de funciones, para cada caso ten en cuenta las condiciones dadas. a. Domf \( =[-4,4] \). creciente en \( [-4,0) \) : decreciente en \( [0,2] \); constante en \( (2,4] \).

27. In an election, \( 40 \% \) of eligible voters did not vote. If three eligible voters are selected at random, find the probability that (a) None of them voted in the election Round to the nearest (b) At least one of the three voted in the election

No Yes \( 4 x(6 a+b)+b^{2}+6 a b=4 x(6 a+b)+b(b+6 a) \) How do you determine whether the result can be factored further? A. The b-term inside the parentheses in the first term and outside the parentheses in the second term are common factors that can be factored out. B. Since the binomials inside the parentheses are the same, they are a common factor that can be factored out. C. Both terms can be divided by 4 to remove the coefficient of the first term. D. The two binomials inside the parentheses can be factored further.

Find a rational root of the equation \( 2 x^{3}-7 x^{2}-4 x+14=0 \) Use the factor theorem to determine the remaining roots. \[ x= \]