Which statements are true? * 1:2 = 50:100 2:1 = 50:100 1:2 = 2:1 3:4 = 9:12

What is the product? (-2d^2+s)(5d^2-6s)

wlad13 [49]

The answer is −10d4+17d2s−6s2

5 0

2 years ago

Determine whether the following series converge or diverge

Mars2501 [29]

An alternating series $\sum\limits_n(-1)^na_n$ converges if $|(-1)^na_n|=|a_n|$ is monotonic and $a_n\to0$ as $n\to\infty$ . Here $a_n=\dfrac1{\ln(n+1)}$ .

Let $f(x)=\ln(x+1)$ . Then $f'(x)=\dfrac1{x+1}$ , which is positive for all $x>-1$ , so $\ln(x+1)$ is monotonically increasing for $x>-1$ . This would mean $\dfrac1{\ln(x+1)}$ must be a monotonically decreasing sequence over the same interval, and so must $a_n$ .

Because $a_n$ is monotonically increasing, but will still always be positive, it follows that $a_n\to0$ as $n\to\infty$ .

So, $\sum\limits_n(-1)^na_n$ converges.

5 0

3 years ago

What are the unit rates? FOR ALL OF THEM.

kykrilka [37]

Francios $19.48 per hour Carissa $14 per hour Garrick $19.04 per hour Arianne $25.71 per hour

7 0

3 years ago

I need to know what is expected

bearhunter [10]

Answer:

$\frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{?}{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?} }{?}$

Is it cool?

8 0

3 years ago

Slope and equation, how much battery does she lose an hour

insens350 [35]

Equation: y=-5x+100, where x is the number of hours and y is the battery percentage
The slope is -5, meaning she loses 5% of battery per hour
:)

8 0

3 years ago

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