Answer:
S = 
Step-by-step explanation:

The mass of a thin triangular plate bounded by the coordinate axes is 3 3/4.
<h3>How to calculate the mass?</h3>
It should be noted that mass simply means a quantity of matter that's in a body. It's the meaure of the inertia in the body.
In this case, from the complete question, the mass will be:
= 3/1000[1/24x⁴ - 25x² + 1000/3x]
= 15/4
= 3 3/4
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Answer:
Eudora ran for 30 minutes and use the jetpack for 1 hour and 30 minutes
Step-by-step explanation:
Lets call x the time she ran and y the time she was using a jetpack (in hours), we have
12x + 76y = 120
Since it took 2 hours we have that x+y = 2, hence y = 2-x. We can replace y in the equation above, obtaining
12x + 76(2-x) = 120
12x+ 152 - 76x = 120
12x-76x = 120-152
-64x = -32
x = -32/-64 = 1/2 (30 minutes)
As a result
y = 1-1/2 = 3/2 (1 hour, 30 minutes)
She ran for 30 minutes and use the jetpack for 1 hour and 30 minutes.
Given:
Roots:
![\begin{gathered} -3+\sqrt[]{6} \\ -3-\sqrt[]{6} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20-3%2B%5Csqrt%5B%5D%7B6%7D%20%5C%5C%20-3-%5Csqrt%5B%5D%7B6%7D%20%5Cend%7Bgathered%7D)
Point: (-1,4)
To determine the equation of the parabola with the given roots and point, we find the missing values first.
Since the roots are given, we can say that the equation is:
![y=a(x+3-\sqrt[]{6})(x+3+\sqrt[]{6})](https://tex.z-dn.net/?f=y%3Da%28x%2B3-%5Csqrt%5B%5D%7B6%7D%29%28x%2B3%2B%5Csqrt%5B%5D%7B6%7D%29)
Next, we expand the terms.

Then, we plug in x= -1, and y=4 into the equation to get the value of a.

So,
In 10 days they will have the same amount of cards