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Irina-Kira [14]
3 years ago
8

How many terms are in the following sequence? 131072, ..., 8, 4, 2

Mathematics
1 answer:
Klio2033 [76]3 years ago
8 0

Answer:

  17 terms

Step-by-step explanation:

131072 = 2^17

8 = 2^3

4 = 2^2

2 = 2^1

Apparently, the sequence is powers of 2 from 17 down to 1, so there are 17 terms in the sequence.

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Accidents on highways are one of the main causes of death or injury in developing countries and the weather conditions have an i
pashok25 [27]

Answer:

0.105 = 10.5% probability that an accident results in a death.

Step-by-step explanation:

What is the probability that an accident results in a death?

5% of 60%(sunny)

25% of 20%(foggy)

12.5% of 20%(rainy)

So

p = 0.05*0.6 + 0.25*0.2 + 0.125*0.2 = 0.105

0.105 = 10.5% probability that an accident results in a death.

6 0
2 years ago
A pole 5 feet tall is used to support a guy wire for a tower, which runs from the tower to a metal stake in the ground. After pl
sammy [17]

The length of the guy's wire to the nearest foot is 89 feet.

The situation forms a right-angled triangle.

<h3>Properties of a right angle triangle:</h3>
  • A right-angle triangle has one angle of 90 degrees.
  • The sides can be found using the Pythagoras theorem.
  • The angles can be found using trigonometric ratios.

The hypotenuse of the triangle is the length of the wire.

let's use the smaller triangle to find the angle opposite the tower. Therefore,

tan ∅ = opposite / adjacent

tan ∅ =  5 / 2

∅ = tan⁻¹ 2.5

∅ = 68.1985905136

∅ = 68.20°

Therefore,

cos 68.20 = adjacent / hypotenuse

cos 68.20 = 33 / hypotenuse

hypotenuse = 33 / cos 68.20

hypotenuse = 88.8606843161

Therefore,

length of wire ≈ 89 feet.

learn more on triangles here; brainly.com/question/25762788?referrer=searchResults

4 0
2 years ago
The irregular figure on the left has been decomposed into the figures on the right.
Mrac [35]
The answer would be 3 inches
7 0
3 years ago
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Answer:$210

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A shooting gallery game awards the player 2 points for hitting a stationary duck-target, and 3 points for hitting a moving duck-
Simora [160]
M + s = 10 or s = 10 - m 
<span>3m + 2s = 23 </span>
<span>substitute first equation into second equation: </span>
<span>3m + 2(10 - m) = 23 </span>
<span>3m + 20 - 2m = 23 </span>
<span>m = 3 </span>
<span>using first equation: </span>
<span>s = 10 - 3 = 7 </span>
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<span>3(3) + 2(7) = 23 </span>
<span>9 + 14 = 23 checks </span>
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3 years ago
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