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Zepler [3.9K]
2 years ago
7

Least common multiple of 6 and 8

Mathematics
2 answers:
kicyunya [14]2 years ago
7 0

\huge\text{Hey there!}


\large\textsf{What are the least common multiples of 6 and 8?}


\large\textsf{Well, first lets find the multiples of both of the numbers \& see}\\\large\textsf{what we could find.}


\huge\textbf{The MULTIPLES of 6}\\\bullet\large\text{ 6, 12, 18,24, 30, and 36}

\huge\textbf{The MULTIPLES of 8}\\\bullet\large\text{ 8, 16, 24, 32, and 40}

\large\textsf{Each of the numbers listed above shared ONE number \& it is 24}

\huge\text{Answer: \boxed{\mathsf{\bold{L}owest \ \bold{C}ommon \ \bold{M}ultiple: 24}}}\huge\checkmark


\huge\text{Good luck on your assignment \& enjoy your day!}


~\frak{Amphitrite1040:)}

miskamm [114]2 years ago
3 0

Answer:

8={8,16,24,32,40}

6={6,12,18,24,33}

so the least common multiple is 24

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solniwko [45]

Answer:

r = 8

Step-by-step explanation:

6r = 95-47

6r = 48

r = 48/6

r = 8

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2 years ago
6. A two-story building measures 21 feet
Y_Kistochka [10]

Answer:

12

Step-by-step explanation:

First figure the ratio of the real building to the model which is 21 divide 3. So the ratio is 1:7, since we're finding the height of the model, we divide 7 by 84 which is 12

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Please help!<br><br> <img src="https://tex.z-dn.net/?f=%5Cfrac%7B4.2%7D%7B7%5Cfrac%7B5%7D%7B7%7D%20%7D%20%3D%20%20%5Cfrac%7B3%5C
emmasim [6.3K]

Answer:

d = 40/7

Step-by-step explanation:

Solve for d:

0.544444 = 28/(9 d)

0.544444 = 49/90:

49/90 = 28/(9 d)

49/90 = 28/(9 d) is equivalent to 28/(9 d) = 49/90:

28/(9 d) = 49/90

Take the reciprocal of both sides:

(9 d)/28 = 90/49

Multiply both sides by 28/9:

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3 years ago
Find the differential coefficient of <br><img src="https://tex.z-dn.net/?f=e%5E%7B2x%7D%281%2BLnx%29" id="TexFormula1" title="e^
Gemiola [76]

Answer:

\rm \displaystyle y' =   2 {e}^{2x}   +    \frac{1}{x}  {e}^{2x}  + 2 \ln(x) {e}^{2x}

Step-by-step explanation:

we would like to figure out the differential coefficient of e^{2x}(1+\ln(x))

remember that,

the differential coefficient of a function y is what is now called its derivative y', therefore let,

\displaystyle y =  {e}^{2x}  \cdot (1 +   \ln(x) )

to do so distribute:

\displaystyle y =  {e}^{2x}  +   \ln(x)  \cdot  {e}^{2x}

take derivative in both sides which yields:

\displaystyle y' =  \frac{d}{dx} ( {e}^{2x}  +   \ln(x)  \cdot  {e}^{2x} )

by sum derivation rule we acquire:

\rm \displaystyle y' =  \frac{d}{dx}  {e}^{2x}  +  \frac{d}{dx}   \ln(x)  \cdot  {e}^{2x}

Part-A: differentiating $e^{2x}$

\displaystyle \frac{d}{dx}  {e}^{2x}

the rule of composite function derivation is given by:

\rm\displaystyle  \frac{d}{dx} f(g(x)) =  \frac{d}{dg} f(g(x)) \times  \frac{d}{dx} g(x)

so let g(x) [2x] be u and transform it:

\displaystyle \frac{d}{du}  {e}^{u}  \cdot \frac{d}{dx} 2x

differentiate:

\displaystyle   {e}^{u}  \cdot 2

substitute back:

\displaystyle    \boxed{2{e}^{2x}  }

Part-B: differentiating ln(x)•e^2x

Product rule of differentiating is given by:

\displaystyle  \frac{d}{dx} f(x) \cdot g(x) = f'(x)g(x) + f(x)g'(x)

let

  • f(x) \implies   \ln(x)
  • g(x) \implies    {e}^{2x}

substitute

\rm\displaystyle  \frac{d}{dx}  \ln(x)  \cdot  {e}^{2x}  =  \frac{d}{dx}( \ln(x) ) {e}^{2x}  +  \ln(x) \frac{d}{dx}  {e}^{2x}

differentiate:

\rm\displaystyle  \frac{d}{dx}  \ln(x)  \cdot  {e}^{2x}  =   \boxed{\frac{1}{x} {e}^{2x}  +  2\ln(x)  {e}^{2x} }

Final part:

substitute what we got:

\rm \displaystyle y' =   \boxed{2 {e}^{2x}   +    \frac{1}{x}  {e}^{2x}  + 2 \ln(x) {e}^{2x} }

and we're done!

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Andru [333]

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