A scientist measures the temperature of a chemical solution. At the start of the experiment, the solution is at a temperature of -14.06*C. TH decreases 2.9°C each hour. What is the temperature of the solution after 3 hours, rounded to the nearest whole degree?

T(3) = -23°C

Step-by-step explanation:

Constant Rate of Change

Given an initial condition of a variable T, To and a constant rate of change m, it's possible to write a model to predict the value of T in time t:

The initial temperature the scientist measures of a chemical solution is To=-14.06°C.

It's known the temperature decreases at a constant rate of -2.9°C each hour, thus the model is:

Evaluating at t=3 hours:

T(3) = -22.76°C

Rounding to the nearest whole degree:

T(3) = -23°C

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: