The formula is y = mx + b when b = y-intercept and m is the slope.
Slope = Rise/Run So 1/2.
Y-Int. = The y value at which x = 0. Which is -3
The line has the formula:
Y = 1/2x - 3
Hope this helps :)
Answer:
40320 different ways
Step-by-step explanation:
That problem is a permutation one
We have eight people to occupy one position in a team, without any constraint at all
So
Total number of events = P(8)
P (8) = 8!
P (8) = 8*7*6*5*4*3*2*1
P (8) = 40320 different ways
Answer:
49.2
Step-by-step explanation:
See the attachment
Answer: 96 ft²
Step-by-step explanation:
<u>This figure can be divided into two rectangles:</u>
- The first rectangle has dimensions 6 ft by 14 ft.
- The second rectangle had dimensions 4 ft by 3 ft.
<u />
<u>Find the area of both rectangles:</u>
- The first rectangle: 6 × 14 = 84 ft²
- The second rectangle: 4 × 3 = 12 ft²
<u />
<u>Add them together to find the total area of the figure:</u>
84 + 12 = 96 ft²
Using an exponential function, it is found that the Tequesta settlement is 1845 years old.
<h3>What is an exponential function?</h3>
The exponential equation for a decaying amount of a substance is given by:

In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
Researching on the internet, the half-life of carbon 14 is of 5,730 years, hence A(5730) = 0.5A(0), which we use to find r.







Hence, the equation is:

The wood chips were found to contain 80% of the atmospheric carbon-14, hence we have to find t for which A(t) = 0.8A(0).







The Tequesta settlement is 1845 years old.
You can learn more about exponential functions at brainly.com/question/25537936