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stepladder [879]
3 years ago
10

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

Mathematics
1 answer:
cluponka [151]3 years ago
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
<img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20%E2%88%923x2%E2%88%9211x%2B7" id="TexFormula1" title="f(x) = &minus;3x2&minus
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

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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:

50

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
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