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2 years ago

15

you can buy 3 apples at the quick market for $1.14. you can buy 5 of the same apples at stop and save for $1.10. which place is

better buy?

1 answer:

PSYCHO15rus [73]2 years ago

4 0

Stop and save you get 2 extra apples and still save $1.10

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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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2 years ago

Find the product:<br> (-9)(-4)

nadya68 [22]

Answer:

36

Step-by-step explanation:

-9*-4=36

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3 years ago

F20 in-1<br> 30 in.<br> 13 in.<br> 13 in.

scoray [572]

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13

Step-by-step explanation:

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3 years ago

sertanlavr [38]

6/3 = 2
10^4/10^-5 = 10^9

so it's 2 x 10^9

answer
<span>A 2 × 10^9</span>

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3 years ago

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Is 6/8 equal to 75 percent

slega [8]

6/8 is equivalent to 3/4, and 3/4=.75, and .75/100=75 percent. So yes, it is.

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3 years ago

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