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:
I can answer the first one the other 2 I can't make out.
Step-by-step explanation:
Firstly,
1) They are the same since they add one to the row every time
2) They are different because Megan's pattern is that they only count the first column in orange, and Kyle's pattern counts the number of blocks in each row.
3) They have the same number of blocks just in different colors in rows and columns.
Finding x:
If y=2x+9, substitute y into the equation x-3y=-12.
You will get: x-3(2x+9)=-12
Now, distribute: x-6x-27=-12
Add like terms: -5x-27=-12
Add 27 to both sides: -5x=15
Divide both sides by -5: x=-3
Now, substitute this value of x into the equation to find y: y=2(-3)+9
Multiply: y=-6+9
Add: y=3
Here is the solution: (x,y)=(-3,3)
Hope this explanation helped!
Answer:
3/7
Step-by-step explanation:
12 ÷ 4
28 ÷ 4
