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ExtremeBDS [4]
3 years ago
6

Express each number in scientific notation. 18 8,888,800

Mathematics
2 answers:
Olenka [21]3 years ago
8 0
scientific\ notation:a\cdot10^n\ where\ a\in[1;\ 10)\ and\ n\in\mathbb{Z}\\==================================\\\\1\underbrace{8}_{\leftarrow1}=1.8\cdot10^{1}\\\\8\underbrace{,888,800}_{\leftarrow6}=8.888800\cdot10^6=8.8888\cdot106
frutty [35]3 years ago
8 0
<u />1.8\cdot10\\&#10;8.8888\cdot10^6&#10;
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The law of sines states that if a triangle with sides a,b, and c, then the following is true.
Andrej [43]
C, because that’s the way to prove the law of sines.
7 0
3 years ago
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Given that f(x) = x2 + 10x + 21 and g(x) = x + 7, find (f•g)(x) and express
sammy [17]

Answer:

<h2>(f.g)x =  {x}^{2}  + 24x + 140</h2>

Step-by-step explanation:

given \\ f(x) = x ^{2}  + 10x + 21 \: and \: g(x) = x + 7

as \: we \: know \: (f.g)x \: is \: same \: as

f(g(x))

so \:

f(x + 7) = ( x + 7) ^{2}  + 10(x + 7) + 21

f(x + 7) =  {x}^{2}  + 14x + 49 + 10x + 70 + 21

f(x + 7) = x^{2}  + 24x + 140

therefore

(f.g)x =  {x}^{2}  + 24x + 140

3 0
3 years ago
A particular isotope has a​ half-life of 74 days. If you start with 1 kilogram of this​ isotope, how much will remain after 150
shtirl [24]

\bf \stackrel{150~days}{\textit{Amount for Exponential Decay using Half-Life}} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &1\\ t=\textit{elapsed time}\dotfill &150\\ h=\textit{half-life}\dotfill &74 \end{cases} \\\\\\ A=1\left( \frac{1}{2} \right)^{\frac{150}{74}}\implies A=1\left( \frac{1}{2} \right)^{\frac{75}{37}}\implies \boxed{A\approx 0.24536}


\bf \stackrel{300~days}{\textit{Amount for Exponential Decay using Half-Life}} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &1\\ t=\textit{elapsed time}\dotfill &300\\ h=\textit{half-life}\dotfill &74 \end{cases} \\\\\\ A=1\left( \frac{1}{2} \right)^{\frac{300}{74}}\implies A=1\left( \frac{1}{2} \right)^{\frac{150}{37}}\implies \boxed{A\approx 0.060202}

6 0
3 years ago
Bag a contains 3 white marveled and 2 marbles bag b contains 6 white marbles and 3 red marbles a person draws one marbles from e
bulgar [2K]

|\Omega|=5\cdot9=45\\|A|=3\cdot6=18\\\\P(A)=\dfrac{18}{45}=\dfrac{2}{5}

6 0
3 years ago
5. Andre is solving the equation 4(x + 3) = 7. He says, “I can subtract from each side to get
Vinil7 [7]
4(x+3)=7
The mistake is with his final answer, he wrote down 4x=1.

When you do 4(x)4(3), the answer is completely different from what Andre said. He did wrong calculations.

4x3=12

7-12= -5

Which means it should be 4x=-5 as the final answer.
8 0
3 years ago
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