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mina [271]
3 years ago
13

17. Tommy wants to convert 68 miles per hour to inches per second. This is his

Mathematics
1 answer:
bogdanovich [222]3 years ago
8 0

Answer:

no, he is not correct

Step-by-step explanation:

His last two conversion fractions are reversed. He should have 1hr/60min and 1min/60s.

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Determine if the two triangles are congruent. If they are, state how you know.
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3 0
3 years ago
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.

brainly.com/question/27549055

#SPJ1

8 0
2 years ago
If x represents an even number, which expression represents an odd number?
Sauron [17]
Test the choices !
Pick an even number, and see what each choice does to it.

Let's start with, say,  6 .
We'll try each choice, and see which one produces an odd number:

a).  6 to the 2nd power. . . . . .  6 x 6 = 36.  That's not an odd number.

b).  6 + 3  =  9  This could be it.  9 is odd. We'll save this one.

c).  3·6 = 18.  That's not an odd number.

d).  6/3 = 2.  That's not an odd number.

The only one that gave us an odd number is (b).


3 0
3 years ago
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