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3 years ago

What should be the next number in the following series? 1 2 8 48 384

1 answer:

3 0

1
1 · 2 = 2
2 · 4 = 8
8 · 6 = 48
48 · 8 = 384
384 · 10 = 3840
3840 · 12 = 46080
46080 · 14 = 645120
...

$a_1=1;\ a_n=a_{n-1}\cdot(2n-2)$

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In ABC, BC = a = 16, AC = b = 10, and m<C = 22º. Which equation can you use to find the value of c = AB?

AnnyKZ [126]

Answer:

10 times 16 = C

Step-by-step explanation:

c2 = a2 + b2 − 2ab cos C = 162 + 102 − 2(10)(16) cos 22°

5 0

3 years ago

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bixtya [17]

Answer:

$x= \frac{ - 11 + \sqrt{205} }{6} \: \: \: \: \: or \: \: \: \: \\x = \frac{ - 11 - \sqrt{205} }{6}$

Step-by-step explanation:

$- 3x {}^{2} - 11x + 7 = 0 \\ 3x {}^{2} + 11x - 7 = 0$

here,

$a = 3 \\ b = 11 \\ c = - 7$

now,

$D = b {}^{2} - 4ac \\ = (11) {}^{2} - 4(3)( - 7) \\ = 121 + 84 \\ = 205 > 0 \\$

so,

$x = \frac{ - b + - \sqrt{b {}^{2} - 4ac} }{2a} \\ \\ = \frac{ - 11 + - \sqrt{205} }{2(3)} \\ = \frac{ - 11 + - \sqrt{205} }{6} \\ \\ = \frac{ - 11 + \sqrt{205} }{6} \: \: \: \: \: or \: \: \: \: = \frac{ - 11 - \sqrt{205} }{6}$

4 0

3 years ago

Find the slope of the line passing through the two points.

GalinKa [24]

The fromula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

a) (-1, -8), (-7, -4)

substitute

$m=\dfrac{-4-(-8)}{-7-(-1)}=\dfrac{-4+8}{-7+1}=\dfrac{4}{-6}=-\dfrac{2}{3}$

b) (2.1, 3.8), (3.1, 7.6)

substitute

$m=\dfrac{7.6-3.8}{3.1-2.1}=\dfrac{3.8}{1}=3.8$

4 0

2 years ago

Help question is in attachment

WARRIOR [948]

Answer:

Step-by-step explanation:

90-40 = 50

7 0

3 years ago

Read 2 more answers

Suppose that two electronic components in the guidance system for a missile operate independently and that each has a length of

lord [1]

Answer:

The probability density function for the average length of life of the two components is $f(x) = 0.5e^{-0.5x}$

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following probability density:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

Each missile has a length of life governed by the exponential distribution with mean 1 (with measurements in hundreds of hours). Find the probability density function for the average length of life of the two components.

2, each with mean 1 means that $m = 2*1 = 2, \mu = \frac{1}{2} = 0.5$

So the probability density function is:

$f(x) = 0.5e^{-0.5x}$

8 0

2 years ago