Hello!
This is a problem about the general solution of a differential equation.
What we can first do here is separate the variables so that we have the same variable for each side (ex.
with the
term and
with the
term).


Then, we can integrate using the power rule to get rid of the differentiating terms, remember to add the constant of integration, C, to at least one side of the resulting equation.

Then here, we just solve for
and we have our general solution.
![y=\sqrt[3]{\frac{1}{2}x^2-x+C}](https://tex.z-dn.net/?f=y%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B1%7D%7B2%7Dx%5E2-x%2BC%7D)
We can see that answer choice D has an equivalent equation, so answer choice D is the correct answer.
Hope this helps!
The similarity relationship is AC / EC = AB / ED.
The length of AB is 157.50m.
<h3>What is the length of AB?</h3>
When two triangles are similar, the ratio of the known sides of the triangles can be used to determine the length of the side of the unknown length.
The similarity relationship is : AC / EC = AB / ED
AC = 160 + 50 = 210
210 / 160 = AB / 120
AB = (210 X 120) / 160 = 157.50
To learn more about similar triangles, please check: brainly.com/question/10658464
#SPJ1
Hi!
So we have to make a system of equations here.
Let sibling 1 be O and sibling 2 be Y (for older and younger)
So:
O + Y = 64
O = 64 - Y
(Either one works)
The older sibling is 6 years older.
O = Y + 6
Make everything in terms of Y.
64 - Y = Y + 6
Same to both:
58 = 2y
2y = 58
Divide by 2 on both sides:
y = 29
Since the older sibling is 6 years older:
29 + 6 = 35
Y = 29
O = 35
Let me know if you have any questions.
Answer:
He can buy <u>3 bracelets</u>.
Step-by-step explanation:
Given:
Mr. Gonzales has only 42.50 to spend he wants to buy 29 t shirts including tax and some bracelets that cost 4.50 each including tax.
Now, to find the number of bracelets he can buy.
Let the number of bracelets he can buy be 
Price of each bracelets = 4.50.
Total amount to spend = 42.50.
Number of t-shirts = 29.
Now, to get the number of bracelets we put an equation:

<em>Subtracting both sides by 29 we get:</em>
<em />
<em />
<em>Dividing both sides by 4.50 we get:</em>

<u>The number of bracelets = 3.</u>
Therefore, he can buy 3 bracelets.
Answer:
2.3
Step-by-step explanation: