Using a differential equation, it is found that the temperature dropped 72 degrees Celsius between sundown and 3 hours after sundown.
<h3>What is the differential equation that describes the temperature in t hours after sundown?</h3>
The rate at which the temperature is dropping is
degrees Celsius per hour t hours after sundown, hence the <em>differential equation</em> is:

Applying <em>separation of variables</em>, we find the solution as follows:




In which T(0) is the temperature at sundown.
In 3 hours, the change will be of:

Hence:

The temperature dropped 72 degrees Celsius between sundown and 3 hours after sundown.
You can learn more about differential equations at brainly.com/question/24348029
Answer:
The cost of extracting the first 50 tons of copper is $151,000.
Step-by-step explanation:
Start-up costs of $150,000.
For the 50 tons of cooper.

So

1 thousand dollars.
So
$150,000 + $1,000 = $151,000
The cost of extracting the first 50 tons of copper is $151,000.
Answer:
7b, 8a
Step-by-step explanation:
using the equation y=m(x)+b, m(x) is the slope, and b is the y intercept. Oky so for 7, its a slope of negative 2, and it has a y-intercept of 5, and if you look at graph b a slope of -2 and would be a y-intercept of 5.
looking at equation a, its a Quadric function, f(x)=x^2, but it doesn't match the graph... strange because the graph for that equation would look like the image included. Hopefully this helps!
Answer:
Option D and E are equivalent to the given expression.
Step-by-step explanation:
Given : 
Solution:

Using identity : 
-- Option E
Now this can be written as 
Identity : 
-- Option D
-- Option D
Thus Option D and E are equivalent to the given expression.