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3 years ago

Can someone help me with this please

Mathematics

1 answer:

Alex17521 [72]3 years ago

6 0

A) 2/6,3/9,4/12
B) 2/8,3/12,4/16
C) 2/10,3/15,4/20
D) 4/10,6/15,8/20
E) 6/8,9/12,12/16
F) 10/16,15/24,20/32

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What is 5/7 equivalent to

Lina20 [59]

If you're looking for the decimal it is

0.71428571428

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3 years ago

Read 2 more answers

Let f be defined by the function f(x) = 1/(x^2+9)

riadik2000 [5.3K]

(a)

$\displaystyle\int_3^\infty \frac{\mathrm dx}{x^2+9}=\lim_{b\to\infty}\int_{x=3}^{x=b}\frac{\mathrm dx}{x^2+9}$

Substitute x = 3 tan(t ) and dx = 3 sec²(t ) dt :

$\displaystyle\lim_{b\to\infty}\int_{t=\arctan(1)}^{t=\arctan\left(\frac b3\right)}\frac{3\sec^2(t)}{(3\tan(t))^2+9}\,\mathrm dt=\frac13\lim_{b\to\infty}\int_{t=\arctan(1)}^{t=\arctan\left(\frac b3\right)}\mathrm dt$

$=\displaystyle \frac13 \lim_{b\to\infty}\left(\arctan\left(\frac b3\right)-\arctan(1)\right)=\boxed{\dfrac\pi{12}}$

(b) The series

$\displaystyle \sum_{n=3}^\infty \frac1{n^2+9}$

converges by comparison to the convergent p-series,

$\displaystyle\sum_{n=3}^\infty\frac1{n^2}$

$\displaystyle \sum_{n=1}^\infty \frac{(-1)^n (n^2+9)}{e^n}$

converges absolutely, since

$\displaystyle \sum_{n=1}^\infty \left|\frac{(-1)^n (n^2+9)}{e^n}\right|=\sum_{n=1}^\infty \frac{n^2+9}{e^n} < \sum_{n=1}^\infty \frac{n^2}{e^n} < \sum_{n=1}^\infty \frac1{e^n}=\frac1{e-1}$

That is, ∑ (-1)ⁿ (n ² + 9)/eⁿ converges absolutely because ∑ |(-1)ⁿ (n ² + 9)/eⁿ| = ∑ (n ² + 9)/eⁿ in turn converges by comparison to a geometric series.

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3 years ago

Write the percent as a fraction or mixed number in simplest form. 72.5

barxatty [35]

Answer:

29/40

Step-by-step explanation:

6 0

3 years ago

Bethany is baking cookies for her school's bake sale. She plans to bake more than 185 cookies, in batchs or 12 cookies. so far,

Aleks [24]

Answer:

48+12b≥185

Step-by-step explanation:

Inequality: 48+12b≥185

Why? she has already backed 48 cookies so you just need to find how many more she needs to bake. (she doesn't need 185 cookies anymore since she's already baked 48)

You don' t need to solve the question,

But here is how you do...

12b≥137

b≥11.42 (roughly)

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3 years ago

(8-9)-(9+3)*5 5+(5+5+6)+9 (5/3-3) 2*3+(4*2)/2

pashok25 [27]

Answer:

If you need any further help, feel free to let me know

Step-by-step explanation:

The answers are

(8-9)-(9+3)*5=-61

5+(5+5+6)+9=30

(5/3-3)= -4 over 3 or -4/3 or -1.3 or -1 1/3 depends on what your choices are but all those are correct

2*3+(4*2)/2=10

6 0

3 years ago

Can someone help me with this please ​

Can someone help me with this please