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: 10x. Area is length times width, so all you need to do is 5x times 2
Answer:
36 laps Ronnie swim during practice .
Step-by-step explanation:
Let us assume that the laps that Ronnie swims be x .
Let us assume that the laps that Jackie swims be y .
As given
For every 3 laps that Jackie swims, Ronnie swims 4 laps.
i.e
3 × laps that Ronnie swims = 4 × laps that Jackie swims
3 × x = 4 × y
3x = 4y
Equation becomes
x + y = 63
Thus by using 3x = 4y .

Thus

4x + 3x = 63 × 4
7x = 252
x = 36
Put the value of x in the equation x + y = 63
36 + y = 63
y = 63 - 36
y = 27
Therefore the 36 laps Ronnie swim during practice .
Answer:
a=12
Step-by-step explanation:
if a=6b
and b=2
a=2×6
a=12
For the first one, 9 + x = 24, you'll need subtraction.
For the second one, 27x = 2673, you'll need division.