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3 years ago

What is the next number in pattern from 2,9,28,65

Mathematics

1 answer:

galben [10]3 years ago

5 0

Answer:

126

Step-by-step explanation:

2=1³+1

9=2³+1

28=3³+1

65=4³+1

=>5³+1=126

The rule is: n³+1

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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) <em>Deduce:
</em> $e^{x} \geq x^{e}, x > 0$
<em>
Soln:</em> 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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3 years ago

Suppose a certain state university's college of business obtained the following results on the salaries of a recent graduating c

Lerok [7]

Answer:

Following are the responses to the given choice:

Step-by-step explanation:

For point a:

$H_0: \mu_1 - \mu_2 = 0\\\\ H_1: \mu_1 - \mu_2 < 0$

For point b:

$t = -2.953$

For point c:

$\to p- value = 0.0021$

For point d:

Reject $H_o$ . It could deduce that the pay of higher banking is considerably lower than the pay of higher project management.

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allochka39001 [22]

Answer:

(5y+5) is not right sorry

Step-by-step explanation:

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2 years ago

What is the hightest number that 9 and 27 both be divided into?

Elena L [17]

The highest number that both 9 and 27 can be multiplied into is 9. 9 can go into 9 one time, and 9 can go into 27 three times.
9•1=9
9•3=27
(9, 18, 27 )=times
I hope I helped.

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maria [59]

Answer: I don’t know the answer to it but I will try and if I got it will tell u

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