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2 years ago

Convert to mixed number 105/24

Mathematics

1 answer:

MissTica2 years ago

6 0

It simplifies to 35/8
4.375 as a decimal and
4 3/8

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If y equals -18 when x is 6 find x when y is 6

Mekhanik [1.2K]

Answer:

x=-2

Step-by-step explanation:

-6/18=x/6

simplify the -6/18 into -1/3,

-1/3=x/6

cross product,

3*x=-1*6

3x=-6

x=-6/3

x=-2

8 0

2 years ago

Differentiate x^2 e^x logx

zimovet [89]

Product rule:

$\dfrac{\mathrm d}{\mathrm dx}(x^2e^x\log x)$

$=\dfrac{\mathrm d(x^2)}{\mathrm dx}e^x\log x+x^2\dfrac{\mathrm d(e^x)}{\mathrm dx}\log x+x^2e^x\dfrac{\mathrm d(\log x)}{\mathrm dx}$

Power rule:

$\dfrac{\mathrm d(x^2)}{\mathrm dx}=2x$

The exponential function is its own derivative:

$\dfrac{\mathrm d(e^x)}{\mathrm dx}=e^x$

Assuming the base of $\log x$ is $e$ , its derivative is

$\dfrac{\mathrm d(\log x)}{\mathrm dx}=\dfrac1x$

But if you mean a logarithm of arbitrary base $b$ , we have

$y=\log_bx\implies x=b^y=e^{y\ln b}\implies1=e^{y\ln b}\ln b\dfrac{\mathrm dy}{\mathrm dx}$

$\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{e^{-y\ln b}}{\ln b}=\dfrac1{b^y\ln b}$

$\implies\dfrac{\mathrm d(\log_bx)}{\mathrm dx}=\dfrac1{x\ln b}$

So we end up with

$2xe^x\log x+x^2e^x\log x+\dfrac{x^2e^x}x$

$=xe^x(2\log x+x\log x+1)$

8 0

2 years ago

Simplify 12^3/12^7<br> A. 12^4<br> B 1/12^4<br> C 1/12^-4<br> D 12^10

mrs_skeptik [129]

The answer is B.

Explanation:

If you divide exponents, you subtract the exponents.

8 0

2 years ago

Read 2 more answers

C = (F - 32) * 5/9, the letter "F" is known as which of the following?

Mice21 [21]

Answer:

F=Fahrenheit and C=Celsius

Step-by-step explanation:

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2 years ago

Write a variable expression for this amount. 8 more than twice a number d

jarptica [38.1K]

2n+8 maybe try that i dont get the question..kinda confusing

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2 years ago