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3 years ago

Adele watched 52 random movies from each nearby video store. Each video store has an

Mathematics

2 answers:

Zigmanuir [339]3 years ago

6 0

Answer:

Step-by-step explanation:

Alexeev081 [22]3 years ago

3 0

Answer: Yes because they want to sell the movies that sell the most

Step-by-step explanation:

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Let ρ = x3 + xe−x for x ∈ (0, 1), compute the center of mass.

hram777 [196]

The center of mass is mathematically given as

$\bar{x}=\left(\frac{44 e-100}{25 e-40}\right)\end{aligned}$

<h3>What is the center of mass.?</h3>

Determine the center of mass in one dimension:

Represent the masses at the respective distances.

$\begin{|c|c|} Masses \ & \ \ \ \ \ \ \ \ \ \ \ \ \ \ Located at \\\rho=x^{3}+x \cdot e^{-x} & \ \ \ \ x \in(0,1)$ \\\end$

We calculate the total mass of the system.

$\begin{aligned}m &=\int_{0}^{1} \rho \cdot d x \\& m =\int_{0}^{1}\left(x^{3}+x \cdot e^{-x}\right) \cdot d x \\&m =\left|\frac{x^{4}}{4}-(x+1) e^{-x}\right|_{0}^{1} \\&m =\left(\frac{5}{4}-\frac{2}{e}\right)\end{aligned}$

Step 03: Calculate the moment of the system.

$\begin{aligned}M &=\int_{0}^{1}(\rho \cdot x) \cdot d x \\& M=\int_{0}^{1}\left(x^{4}+x^{2} \cdot e^{-x}\right) \cdot d x \\&M =\left|\frac{x^{5}}{5}-\left(x^{2}-2 x+2\right) \cdot e^{-x}\right|_{0}^{1} \\&M=\left(\frac{11}{5}-\frac{5}{e}\right)\end{aligned}$

we calculate the center of mass.

$\begin{aligned}\bar{x} &=\left(\frac{M}{m}\right) \\& \bar{x}=\left\{\left(\frac{\left.11-\frac{5}{5}\right)}{\left(\frac{5}{4}-\frac{2}{e}\right)}\right\}\right.\\& \bar{x}=\left(\frac{11 e-25}{5 e}\right) \cdot\left(\frac{4 e}{5 e-8}\right) \\&\bar{x}=\left(\frac{44 e-100}{25 e-40}\right)\end{aligned}$

Read more about the center of mass.

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8 0

2 years ago

A solid right pyramid has a square base. The length of the base edge is 4cm and the height of the pyramid is 3cm. What is the vo

cricket20 [7]

Answer:

lxbxd or lxhxb

Step-by-step explanation:

7 0

3 years ago

what is the slope and the y-intercept of the line y = 3 x + 10 y=3x+10. Write the y-intercept in coordinate form.

Mrac [35]

Y = 3x + 10

This equation is written in slope intercept form, which is y=mx+b. M equals the slope and b = the y intercept. So in your case, 3 is the slope and 10 is the y intercept.

I don't know what coordinate form is, but I hope that this helped you a little bit.

8 0

3 years ago

Can someone answer this

Levart [38]

Answer:

Yep.

Step-by-step explanation:

It's the equation of the circle of radius 4 units.

7 0

3 years ago

5d + 5.25 = 50.2 What would "d" be?

Bumek [7]

Answer:
8.99

Explanation:
50.2-5.25=44.95
44.96 divided by 5=8.99

4 0

3 years ago