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Novosadov [1.4K]
3 years ago
14

An astronaut drops a rock into a crater on the moon. The distance, d(t), in meters, the rock travels after t seconds can be mode

led by d(t)=0.8t^2. What is the average speed, in meters per second, of the rock between 5 and 10 seconds after it was dropped?
Mathematics
1 answer:
jek_recluse [69]3 years ago
5 0
Given:
d(t) = 0.8t²

d(5) = 0.8*5² = 0.8 * 25 = 20
d(10) = 0.8*10² = 0.8 * 100 = 80

Average speed = distance traveled / time of travel
Average speed = 20 meters / 5 seconds = 4 meters per second

Average speed = 80 meters / 10 seconds = 8 meters per second

4 mps + 8 mps = 12 mps 
12 mps / 2 = 6 mps the average speed in meters per second between 5 and 10 seconds. 
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The worldwide number (in millions) of a particular phone sold can be approximated by the function f(x) = - 879 + 404 Inx, where
Nimfa-mama [501]

Answer:

  (a) 157 million

  (b) 2018

Step-by-step explanation:

(a) Since x=11 corresponds to the year 2011, we presume that x is 'years after 2000', and that for 2013, we need to use x=13.

  f(13) = -879 +404·ln(13) ≈ 157.24

About 157 million phones were sold in 2013.

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(b) To find the year that sales exceeded 275 million, we solve ...

  f(x) = 275

  -879 +404·ln(x) = 275

  404·ln(x) = 1154

  ln(x) = 1154/404

  x = e^(1154/404) ≈ 17.399

Sales will first exceed 275 million in 2017. The first full year in which sales are over 275 million is 2018.

6 0
3 years ago
1/4 of the children caught the first train. 1/4 of the children caught the second train. The rest
Aleonysh [2.5K]

Answer:

<h2>2/4 (or 1/2) caught the last train</h2>

Step-by-step explanation:

It is simple, all the children is 4/4 - 1/4 - 1/4 = 2/4 or 1/2.

Subtract 2/4 for the ones that already caught the bus.

2/4 or 1/2

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7 0
3 years ago
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Can u help me <br><br>thanks u
vovikov84 [41]
1 1/2=
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1.5 * 3 =

4.5
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Which point would not be a solution to the system of linear inequalities shown below ?
vaieri [72.5K]
3,3 and 12,8 ( this is a guess )
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Anyone know the answer to question b
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Answer:ITS 465

Step-by-step explanation:

4 + 6 + 5 = 15

AND THE DIFFERENCE IS 2 BETWEEN 6 AND 4

8 0
3 years ago
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