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mixas84 [53]
3 years ago
7

The function N(t)=300/(1+299e^-0.36t) describes the spread of a rumor among a group of people who have heard the rumor, and (t)

is measured in minutes since the rumor was started. Which of the following statements are true?
a. The rate at which the rumor spreads speeds up over time.
b. Initially, only one person had heard the rumor.
c. It will take approx. 14 mins for 100 people to hear the rumor.
d. There are 299 people in the enclosed space.
Mathematics
1 answer:
Delvig [45]3 years ago
6 0
A ) The rate at which rumor spreads speed up over time. If t increases, also N(t) increases, because 300 is divided by the smaller number.( Correct )B ) 1 = 300 / ( 1 + 299 · e^(-0.36 · 0 ) ) 1 = 300 / ( 1 + 299 · 1 ) 1 = 300 / 3001 = 1  ( Correct )C ) 100 = 300 / ( 1 + 299 · e^(-0.36 · 14 ) )100 = 300 / ( 1 + 299 · 1/154.47 )100 = 300 / 2.93565100 ≈ 102.192        ( Correct ) - approx. 14 minutes
D ) N = 300 / ( 1 + 299 · e^(-∞) )N = 300 / ( 1 + 299 · 0 ) N = 300 / 1 = 300299 people are enclosed space ( Not correct )Answer:True statements are: A ) ,  B )  and  C ) .

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mezya [45]
D. Is the right answer.
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3 years ago
Can someone help me answer this question ​
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2 years ago
Don’t understand #11 A,B, and C help please
Fiesta28 [93]
I set it in a big problem. Since you know that all the angles of a triable add up to 180,
m<a + m<b + m<c = 180, plug in equations/values
(36) + (3x+12) + (3x+18) = 180, subtract 36
3x+12 + 3x+18 = 144, combine like terms,
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4 0
3 years ago
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jarptica [38.1K]
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Explanation:

first start by assigning a random value to a random variable, let’s say x=1

from there the equation becomes solveable

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3 years ago
A rectangular prism has a volume of 40 cm cubed. The height of the prism is 8 cm. The length is 4 cm longer than the width and t
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8(w + 4) = w(w - 2)(w + 4) 

Solve for w <span>Answer = -2 </span></span>
8 0
3 years ago
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