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Paul [167]
3 years ago
8

One central idea in the Declaration of Independence is that Americans should get rid of the British government and form a new on

e.
Which sentence best expresses that idea?


"They are endowed by their Creator with certain unalienable Rights, that among these are Life, Liberty and the pursuit of Happiness."

"He has refused his Assent to Laws, the most wholesome and necessary for the public good."

"...to secure these rights, Governments are instituted among Men, deriving their just powers from the consent of the governed"

"it is their right, it is their duty, to throw off such Government, and to provide new Guards for their future security."
Mathematics
1 answer:
AleksAgata [21]3 years ago
8 0

Answer:

number 1

Step-by-step explanation:

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The half-life of plutonium-241 is 14.4 years. How much of the original 3.6 grams of this
avanturin [10]

\textit{Amount for Exponential Decay using Half-Life} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &3.6\\ t=\textit{elapsed time}\dotfill &45\\ h=\textit{half-life}\dotfill &14.4 \end{cases} \\\\\\ A=3.6\left( \frac{1}{2} \right)^{\frac{45}{14.4}}\implies A=3.6\left( \frac{1}{2} \right)^{3.125}\implies A\approx 0.41265

5 0
3 years ago
Solve the following question
White raven [17]

Answer:

g) u^{4}\cdot v^{-1}\cdot z^{3}, h) \frac{(x+4)\cdot (x+2)}{3\cdot (x-5)}

Step-by-step explanation:

We proceed to solve each equation by algebraic means:

g) \frac{u^{5}\cdot v}{z}\div  \frac{u\cdot v^{2}}{z^{4}}

1) \frac{u^{5}\cdot v}{z}\div  \frac{u\cdot v^{2}}{z^{4}} Given

2) \frac{\frac{u^{5}\cdot v}{z} }{\frac{u\cdot v^{2}}{z^{4}} } Definition of division

3) \frac{u^{5}\cdot v\cdot z^{4}}{u\cdot v^{2}\cdot z}   \frac{\frac{a}{b} }{\frac{c}{d} } = \frac{a\cdot d}{b\cdot c}

4) \left(\frac{u^{5}}{u} \right)\cdot \left(\frac{v}{v^{2}} \right)\cdot \left(\frac{z^{4}}{z} \right)  Associative property

5) u^{4}\cdot v^{-1}\cdot z^{3}   \frac{a^{m}}{a^{n}} = a^{m-n}/Result

h) \frac{x^{2}-16}{x^{2}-10\cdot x + 25} \div \frac{3\cdot x - 12}{x^{2}-3\cdot x -10}

1) \frac{x^{2}-16}{x^{2}-10\cdot x + 25} \div \frac{3\cdot x - 12}{x^{2}-3\cdot x -10} Given

2) \frac{\frac{x^{2}-16}{x^{2}-10\cdot x+25} }{\frac{3\cdot x - 12}{x^{2}-3\cdot x - 10} } Definition of division

3) \frac{(x^{2}-16)\cdot (x^{2}-3\cdot x -10)}{(x^{2}-10\cdot x + 25)\cdot (3\cdot x - 12)}  \frac{\frac{a}{b} }{\frac{c}{d} } = \frac{a\cdot d}{b\cdot c}

4) \frac{(x+4)\cdot (x-4)\cdot (x-5)\cdot (x+2)}{3\cdot (x-5)^{2}\cdot (x-4) } Factorization/Distributive property

5) \left(\frac{1}{3} \right)\cdot (x+4)\cdot (x+2)\cdot \left(\frac{x-4}{x-4} \right)\cdot \left[\frac{x-5}{(x-5)^{2}} \right] Modulative and commutative properties/Associative property

6) \frac{(x+4)\cdot (x+2)}{3\cdot (x-5)}  \frac{a^{m}}{a^{n}} = a^{m-n}/\frac{a}{b}\times \frac{c}{d} = \frac{a\cdot c}{b\cdot d}/Definition of division/Result

3 0
3 years ago
What is 1/6 times 1/6
Murljashka [212]
1/6* 1/6. Multiply the top number and the bottom numbers and you have 1/36.
5 0
3 years ago
Read 2 more answers
A washer contains a drum that spins at 750 revolutions per minute. To the nearest hundredth, the angular velocity of the drum is
LenaWriter [7]
For this case, the first thing we must do is to take into account the following transformation of units:
 1 revolution = 2pi radians
 1 minute = 60 seconds
 Applying the transformation of units we have:
 (750) * (1/60) * (2 * pi) = 78.54 rad / sec

 Answer:
 
To the nearest hundredth, the angular velocity of the drum is 78.54 radians per second.
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Answer:

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