Newton's law of cooling states that the rate of change of temperature of an object in a surrounding medium is proportional to the difference of the temperature of the medium and the temperature of the object. suppose a metal bar, initially at temperature 30 degrees celsius, is placed in a room which is held at the constant temperature of 10 degrees celsius. one minute later the bar has cooled to 10.99574 degrees . write the differential equation that models the temperature in the bar (in degrees celsius) as a function of time (in minutes).

Two variables, x and y, vary inversely, and x=12 when y=4. what is the value of y when x=3?

Guys i need ! graded assignment grade 8 checkpoint 2, part 2 answer the questions below. when you are finished, submit this assignment to your teacher by the due date for full credit. total score: of 9 points (score for question 1: of 4 points) 1. the cost of renting a car for a day is $0.50 per mile plus a $15 flat fee. (a) write an equation to represent this relationship. let x be the number of miles driven and y be the total cost for the day. (b) what does the graph of this equation form on a coordinate plane? explain. (c) what is the slope and the y-intercept of the graph of the relationship? explain.

What is the radical expression that is equivalent to the expression 27 1 over 5?