Answer:
83.3
Step-by-step explanation:
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:
8, 10, 3
Step-by-step explanation:
For finding real solutions to cubic equations and those of higher degree, I find a graphing calculator to be useful. The problem can be cast in the form ...
f(x) = 0
where f(x) is the difference between the product of the integers and 240:
f(x) = x(x +2)(x -5) -240
Then all we need to do is ask the calculator to show the x-intercept. It is x=8.
So, the three integers are ...
The area of a triangle can be calculated using the following equation:
A = 1/2 (B x H)
Where B is the dimension of the base and H is the height of the triangle.
Since the area is known and the dimension of the base is also known, substitute the values into the equation to find the height:
3.6 cm2 = 1/2 (6 cm) (H)
Solving yields an answer of 1.2 cm. Hence the height is 1.2 cm.
Answer:
34/55
Step-by-step explanation:
Find the probability of the opposite; not a single vowel chosen.
So, the consonants are 7, so 7/11 times 6/10, which is 21/55.
Then, just 1 - 21/55 to get 34/55