Theseus the rat is in a labyrinth. initially, he is in a chamber with two openings. theseus always chooses one of these two possible directions with equal probability. if he goes to the right, then he needs to walk for three minutes only to come back to his initial position. if he goes to the left, then he needs to walk for one minute before finding a fork in the path. with probability 1/3 he will choose the upwards path to his right, which leads to the exit, after another minute walk. with probability 2/3 he will choose the other way, which after four more minutes walking, will lead to his departing point. what is the expected time that theseus will remain in the labyrinth

they are non-matter

explanation:

they are non-matter. basically, any type of energy or any abstract concept is an example of something that does not matter. other examples include dreams, magnetism, radio, and hate

i had this question and the answer was 3.15 miles.

martina travels from school to her mom's office. from there, she walks to school. after school, she walks to the library and then to a friends house before finally ending back at home. find martina's total distance traveled.

a) 0 miles  

b) 0.4 miles  

c) 1 mile  

d) 3.15 miles

force tends to be low and long diustance masses are high

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .