Answer: a. 10 and 12
explanation:
The next three numbers in the pattern would be 768, -3072, 12,288.
<h3>What are the next three numbers?</h3>
Looking at the given sequence, it can be seen that the numbers increase by a multiple of 4.
-12 /3 = 4
48 / 12 = 4
192 / 48 = 4
The next three numbers would be:
192 x 4 = 768
768 x 4 = 3072
3072 x 4 = 12,288.
Examining the numbers, it can be seen that the positive and negative signs alternate. Thus, the numbers would be : 768, -3072, 12,288.
To learn more about mathematical sequence, please check: brainly.com/question/26578277
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Answer:
<u>The equation would be:</u>
<u>p = 10,000 * (1 + 0.2)∧ t</u>
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Current population of a town = 10,000 inhabitants
Growth rate of the population = 20% annually
2. Which equation could be used to find the population after T years?
p = Population of the town after t years
t = Number of years
We will use the following equation:
<u>p = 10,000 * (1 + 0.2)∧ t</u>
For example, let's calculate the population after 6 years, replacing with the real values, we have:
p = 10,000 * (1 + 0.2)⁶
p = 10,000 * 2.986
p = 29,860 inhabitants
Answer:
Distance in meters D = 167.75 meters
Step-by-step explanation:
Distance covered in 5 seconds is given by:
Distance, D = Speed (S) X Time (T)
Where,
Distance = ?
Speed = 75mph
Time = 5s
Since we are calculating distance in meters, we have to convert 75miles per hour to meters per second
75mph = 75miles/1hr X 1km/0.621miles X 1000m/1km X 1hr/60mins X 1min/60s
= (75X1000) / (0.621X60X60) meter per second
= 75000/2235.6 meter per second
= 33.55 meter per second
∴ Distance D = 33.55 meter per second X 5 seconds
= 167.75 meters
