It is given that the weight of the barbel is given by:

It says that there are eight pair of weights so x can take values from 0 to 8 and f(x) can take the values as follows:

So the range is:

Option B is correct.
The first question asks to find a change in temperature. To find this, we subtract the first temperature from the last. The final temperature here is 35.65 C, while the initial is 24.85 C. Finding the change, we end up with

To find the m and c for 3, we know that m stands for mass (represented in grams here - make sure that you know whether to do it in kilograms or grams! If it says that the specific heat of water is 4,184 , it's kilograms. If it's 4.184, it means grams), and we know that there are 1000 grams of water. Thus, our mass is 1,000. The c, or specific heat, is 4.184 J/(g*C) for water. Therefore, we have

as the heat absorbed by the water.
Similarly for the calorimeter, we multiply the heat capacity of the calorimeter by the change in temperature, or

as the heat absorbed by the calorimeter.
Feel free to ask further questions!
M=(755-800) /30-12
m= -45/18 or -2.5
y-800 = -2.5(x-12)
y-800 = -2.5x + 30
y = -2.5x + 830
y = -2.5(120) + 830
y = 530 lbs
Answer:
The slope of the model is
.
The value of the slope indicates that the average cost of a hair cut is increased by 2 US dollars each year.
Step-by-step explanation:
We have to notice that given function is a linear function, that is, a first order polynomial, whose standard form is described below:

Where:
- Slope, dimensionless.
- Independent variable, dimensionless.
- Dependent variable, dimensionless.
- y-Intercept, dimensionless.
In this case, we use the linear function
, where
is the time after 2000, measured in years, and
is the average cost of a hair cut. The slope of the model is
.
The value of the slope indicates that the average cost of a hair cut is increased by 2 US dollars each year.