An Absorbing States Problem

A mouse, after being placed in one of 4 rooms, will search for cheese in that room. If unsuccessful, after one minute it will exit to another room by selecting a door at random. (All the rooms connect to each other.) A mouse entering the room with the cheese will remain in that room. If the mouse begins in room 3, what is the pr ...continues

Linear functions and equations

1. Determine whether each of the following is a function or not. (a) f(x) = 1 if x>1 = 0 otherwise (b) f(x) = 2 if x>0 = -2 if x<0 = 2 or -2 if x = 0 = 0 otherwise (c) f(x) = 5/x 2. Suppose you have a lemonade stand, and when you charge $1 per cup of lemonade you se ...continues

Linear algebra problems

I have two questions that I need help with. 1) How would you find a basis of the kernel, a basis of the image and determine the dimension of each for this matrix? The matrix is in the attachment. 2) Are the following 3 vectors linearly dependent? (see attachment for the three vectors) How can you decide? I hope y ...continues

Rate, Time and Distance Problem

What is the relationship between rate, time and distance? Say a car is traveling at 30 mph, how far will it go in 2 hours?

Rate, Time and Distance Problems

What if you want to calculate the number of miles a car travelling 30 mph goes in 120 minutes? How do I calculate this and with what formula?

Problem using rate, time and distance formula

Karen can row a boat 10 kilometers per hour in still water. In a river where the current is 5 kilometers per hour, it takes her 4 hours longer to row a given distance upstream than to travel the same distance downstream. Find how long it takes her to row upstream, how long to row downstream, and how many kilometers she rows?

Time, Rate, and Distance

I know the formula Rate x Time = Distance. However, I have a question where I am asked to find the time and not the distance? Can you give me some basic information about how to calculate the time using this formula or is there a different formula that I should be using? Thanks.

Distance Question

You are traveling 55 mph over a bridge that is 4260 ft. long. How long does it take to cross the bridge? Help me!

Linear Functions

Suppose the number of beers you drink depends on the number of football games you watch. If you drink five beers during every football game, the function would be Number of Beers (B)=5 times Number of Football Games (F), or B=5F. Write a brief describing this function that comes from your own life. It could be something about th ...continues

Linear Algebra

Compute the determinants of the following matrices? 0 2 1 -1 4 3 -2 1 -4 3 0 1 -4 1 -1 2 3 0 4 2 0 -2 1 0 1