Rosita and Garth are saving up for a vacation, and begin with a certain amount saved each. If Rosita works 5 hours, she will hav

We have the equations d=55t and d=20g. The left sides match, as do the right sides. First, we derive the equation: 55t=20g. Then, we can deduce that g=(55/20)t. If t=6 hours, then g=(55/20) *6 = 165/10=16.5 gallons. The distance can be calculated as d= 55t= 55*6=330 miles, which is also equal to d=20g=20*16.5=330 miles.

It is stated that a straight rod has one endpoint at the origin (0,0) and the opposite endpoint at (L,0), with a linear density defined by , where a is a constant and x is the x coordinate.

Thus, the infinitesimal mass is expressed as:

The total mass can be calculated by integrating the above expression as follows:

Consequently,

Now, we can calculate the center of mass, of the rod as:

Now, it follows that

x_{cm}=\frac{1}{\frac{aL^3}{3}}\int_{0}^{L}ax^3dx=\frac{3}{aL^3}\times [\frac{ax^4}{4}]_{0}^{L}

Therefore, the center of mass, is located at:

Answer:

Noah is the only one correct.

Step-by-step explanation:

The volume of the cube is calculated as 10^3 = 1000 units.

The total volume combining the cube and the prism is 1000 + 20 =

1020 cubic units.

Answer:

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X - 3 = 2x - 13
+x +x

-3 = 3x - 13
+13 +13

10 = 3x
10/3 3/3

3.3 = x