Nandini's phone battery dies as she is driving to her hometown. She knows that there are two 4 way junctions before reaching her hometown. So, she drives on until she reaches a four way junction and arbitrarily chooses one of the ways in front of her, and at the next four way junction, she again randomly chooses one of the ways in front of her. What is the probability that Nandini will reach her hometown without having to head back? Enter the answer up to 2 decimals accuracy.

Which point lies on a circle with a radius of 5 units and center at p(6, 1)?

For f(x)=2x+3 and g(x)=x^2- 8 find (f+g) (x)

Samson is going shopping for sugar and butter to make three different kinds of cookies: lemon bars, peanut butter cookies, and sugar cookies. the recipe for lemon bars calls for 2 cups of flour, 2 cups of sugar, and 1 stick of butter. the peanut butter cookie recipe calls for 2 cups of flour, 4 cup of sugar and 2 stick of butter. the sugar cookie recipe calls for 1 cup of flour, 2 cups of sugar, and 2 sticks of butter. sampson has 13 cups of flour at home, and he buys 12 cups (6 pounds) of sugar and 10 sticks of butter. how many batches of each type of cookie can he make? samson can make batches of lemon bars, batches of peanut butter cookies, and batches of 09 cookies submit reset