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
If you would like to know the length of each side of the patio, you can calculate this using the following steps:
an area ... 200 square feet
a ... the length of one side
area = a * a = a^2
200 = a^2
a = sqrt(200)
a = 14.14 feet
The correct result would be 14.14 feet.
Volume of the Triangular prism = 1/2 (base*height*length)
<span>V = 1/2 (2 * 2 * 5) </span>
<span>V = 10 cubic inches. </span>
<span>For the surface area, you can divide the prism into parts: </span>
<span>It's made of three rectangles and two equal triangles. </span>
<span>For the two triangles: </span>
<span>The area of each of the triangles is 1/2(base x height) </span>
<span>Area of each triangles = 1/2 (2 * 5) </span>
<span>Area of each triangles = 5 inches^2. </span>
<span>For the three rectangles: </span>
<span>* one is equal to base x length, </span>
<span>Rectangle1 = 2 x 5 </span>
<span>Rectangle1 = 10 inches^2. </span>
<span>* another is equal to side 1 x length </span>
<span>Rectangle2 = 3 x 5 </span>
<span>Rectangle2 = 15 inches^2 </span>
<span>* and the last is equal to side 2 x length. </span>
<span>Rectangle3 = 3 x 5 </span>
<span>Rectangle3 = 15 inches^2 </span>
<span>Adding all the components up, </span>
<span>10 + 15 + 15 + 5 + 5 = 50 inches^2 </span>
<span>Therefore, the surface area of the prism is greater than volume 50 > 10
hpe this helps:)</span>
Answer: p = - 61/36
Step-by-step explanation: first - calculate: 36p+18+8= -35 then add the numbers we can, together : 36p+ 26= -35 then move the constant to the right: 36 p = -35 - 26, now calculate the difference: 36 p = -61 divide both sides which equals -61/36
-81, -3, -1, 0, 1, 2, 141.
