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Allushta [10]
3 years ago
15

A movie cost $3,254,107 to produce. What digit is in the hundred thousands place?

Mathematics
1 answer:
Alla [95]3 years ago
3 0
The two in 3,254,107 is in the hundred thousands place
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Use function notation to write the equation of the line
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f(x)=mx+b\to y=mx+b

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The point slope form of the line:

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Substitute

m=\dfrac{7-0}{-4-(-3)}=\dfrac{7}{-1}=-7

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f(x)=-7x-21

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3 years ago
Integrate the following. ∫<img src="https://tex.z-dn.net/?f=5x%5E%7B4%7D%20dx" id="TexFormula1" title="5x^{4} dx" alt="5x^{4} dx
Vadim26 [7]

Answer:

\displaystyle D)  {x}^{5}  +  \rm C

Step-by-step explanation:

we would like to integrate the following Integral:

\displaystyle \int 5 {x}^{4} \, dx

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\displaystyle \int c{x} ^{n}  \, dx  =  c\int  {x}^{n}  \, dx

therefore,

\displaystyle 5\int  {x}^{4} \, dx

recall exponent integration rule:

\displaystyle \int {x} ^{n}  \, dx  =  \frac{ {x}^{n + 1} }{n + 1}

so let,

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Thus integrate:

\displaystyle  =  5\left( \frac{ {x}^{4+ 1} }{4 +  1}  \right)

simplify addition:

\displaystyle  =  5\left( \frac{ {x}^{5} }{5}  \right)

reduce fraction:

\displaystyle  =  {x}^{5}

finally we of course have to add the constant of integration:

\displaystyle  \boxed{ {x}^{5}  +  \rm C}

hence,

our answer is D)

7 0
2 years ago
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