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2 years ago

Divide. Round your answer to the nearest tenth.

Mathematics

1 answer:

nika2105 [10]2 years ago

3 0

The answer to your question is. 103.2

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oksian1 [2.3K]

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2 years ago

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PLEASE HELP!!! Justin is running a race. He has completed 28 km, which happens to be 70% of the total race. How long is

tensa zangetsu [6.8K]

Answer is 40km
Explanation:
So in this question we can use a proportion
Since
28km is 70% we can write it equal to 70%
28=70

and since 100% is unknown we can write it equal to x
100=x

Then we put it in proportion form

28/x=70/100

Then cross multiply and divide

28(100)/70=x

Which would equal 40

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2 years ago

Help please! i need both statements ASAP!

lys-0071 [83]

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3 years ago

Answer (5.2 + 6.3) - 12 ÷ 2.5

sweet [91]

Answer:

-0.2

Step-by-step explanation:

5.2 + 6.3 = 11.5

11.5 - 12 / 2.5

-0.5 / 2.5

= -0.2

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3 years ago

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F(x) = lnx/x

My name is Ann [436]

$f(x) = \frac{lnx}{x}$

(a) $f'(x) = \frac{d}{dx}[\frac{lnx}{x}]$
Using the quotient rule:
$f'(x) = \frac{\frac{1}{x} \cdot x - lnx}{x^{2}}$
$f'(x) = \frac{1 - lnx}{x^{2}}$

For maximum, f'(x) = 0;
$\frac{1 - lnx}{x} = 0$
$lnx = 1, x = e$

(b) Deduce:
 $e^{x} \geq x^{e}, x > 0$

Soln: Since x = e is the greatest value, then f(e) ≥ f(x) > f(0)
$\frac{ln(e)}{e} \geq \frac{lnx}{x}$
$\frac{1}{e} \geq \frac{lnx}{x}$ , since ln(e) is simply equal to 1

Now, since x > 0, then we don't have to worry about flipping the signs when multiplying by x.
$\frac{x}{e} \geq lnx$
$x \geq elnx$
$x \geq ln(x^{e})$

Taking the exponential to both sides will cancel with the natural logarithmic function in the right hand side to produce:
$e^{x} \geq e^{ln(x^{e}})$
$e^{x} \geq x^{e}$ , as required.

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2 years ago