Answer:

Step-by-step explanation:
given is the Differential equation in I order linear as

Take Laplace on both sides
![L(y') +4L(y) = 48L(t)\\sY(s)-y(0) +4Y(s) = 48 *\frac{1}{s^2} \\Y(s) [s+4]=\frac{48}{s^2}+9\\Y(s) = \frac{1}{s^2(s+4)}+\frac{9}{s+4}](https://tex.z-dn.net/?f=L%28y%27%29%20%2B4L%28y%29%20%3D%2048L%28t%29%5C%5CsY%28s%29-y%280%29%20%2B4Y%28s%29%20%3D%2048%20%2A%5Cfrac%7B1%7D%7Bs%5E2%7D%20%5C%5CY%28s%29%20%5Bs%2B4%5D%3D%5Cfrac%7B48%7D%7Bs%5E2%7D%2B9%5C%5CY%28s%29%20%3D%20%5Cfrac%7B1%7D%7Bs%5E2%28s%2B4%29%7D%2B%5Cfrac%7B9%7D%7Bs%2B4%7D)
Now if we take inverse we get y(t) the solution
Thus the algebraic equation would be
After an hour (4pm to 5pm) the temperature drops 18e⁻⁰˙⁶=9.9℉, so the temperature after an hour will be 68-9.9=58.1℉.
(The change -18e⁻⁰˙⁶ is negative indicating a drop in temperature.)
Bryan has to take 8 classes for both Pro's to be the same price.
Step-by-step explanation:
Given,
Monthly charges of Pro at Windy = $20.00
Charges per lesson = $10.00
Let,
x be the number of lessons
W(x) = 10x +20
Monthly charges of Sunny Sands = $100.00
They offer unlimited classes.
S(x) = 100
For the price to be same;
W(x) = S(x)

Dividing both sides by 10

Bryan has to take 8 classes for both Pro's to be the same price.
Keywords: function, division
Learn more about division at:
#LearnwithBrainly
Answer:
$24.09
Step-by-step explanation:
you do 984.20-381.80=602.4
then divide 602.4 by 1/4
which 1/4=25.
then you get $24.09
lol you also in mcp
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