Distribution of 15 vehicle models

There are 15 different vehicle models available at a certain dealership. Oddly, each family living on Maple Street bought one of these vehicles. There are just enough families on Maple Street so you can be absolutely sure that 6 families all have the same model. How many families are there on Maple Street?

Show that the given function f is in Big-Theta of the given function g, as well as in Big-O of the given function h and in Big-Omega of the given function k. Also, explain why f is an unimpressive time-cost function for a sorting algorithm.

Let f, g, h, and k be the following functions: f(x) = 3*(x^2) + 4*ln(x) + 9 g(x) = x^2 h(x) = x^5 k(x) = 1 [the constant function "1"] Throughout the statement and solution to this problem, a caret ("^") denotes that the number immediately following it is an exponent. ------------------------------------------- ...continues

Distance per second

A football is thrown downward from a window in a tall building. Its position at time t in seconds is s=16t^2+32t, where s is in feet. How long to the nearest tenth will it take the ball to fall 175 feet?? (2.3, 3.3, 6.2, or 2.5)

Solve inequality

Solve inequality and graph the solution. Please explain how to how to solve this linear graph p^2+9p+14>0 a) (-7,-2) b) (-00, -7) c) (-2, 00) d) (-00, -7) or (-2, 00)

Estimating time period - If the speed ( in m/sec ) of a particle moving on the x-axis at time t seconds (t>0) is given by: ...

If the speed ( in m/sec ) of a particle moving on the x-axis at time t seconds (t>0) is given by: V(t)=t^3-8t^2+15t+10 estimate during what time period the speed of the particle is less than 10m/sec. a t=2/t=4seconds b t=4/t=6 seconds c t=4/t=5 seonds d t=3/t=5seconds

Mathematics of Finance

Show each formula and all work. #37: Find the amount of each payment that must be made into a sinking fund to accumulate each amount. (Recall, in a sinking fund, payments are made at the end of every interest period.) 233,188; money earns 9.7% compounded quarterly for 7 3/4 years ______________________________________ ...continues

Term expressions using LN - In the terms of u and v, where u=Ln x and v=Ln y. For example, Ln x^3=3(ln x)=3u Ln (3x^2y^3) ...

In the terms of u and v, where u=Ln x and v=Ln y. For example, Ln x^3=3(ln x)=3u Ln (3x^2y^3) a) Ln 3+2 u-3v b) 3u+2v+ln5 c) Ln3+2u+3v d) Ln5+3u-2v

Probability -- Show all work

#1.) If order of the draw were important in a lottery, what would be the effect on odds of winning, if any? Explain. #2.) Given 32 flavors of ice cream, how many arrangements are possible on a double scoop cone? How many on a triple scoop cone? What is the probability of getting a triple scoop of the same flavor? #3.) ...continues

Finite Math

Show all work and any explanations so that I will understand how to work the problems. See attached... Math 212 Finite Mathematics Show all work and any explanations: 1) An unprepared student takes a three-question, true/false quiz in which he guesses the answers to all three questions, so each answer is equal ...continues

Matrices - Performing the indicated operation where possible: [-9,1] [6,2] 2,5 + 3,-1 ...

Need help in performing the indicated operation where possible: [-9,1] [6,2] 2,5 + 3,-1 a)[9] b)[-3, -7] -6, -10 c)[-33] 54 d)[34] 04