Answer:
After 9 years the population would be 956. The exponential growth function would be
Step-by-step explanation:
y=a(1+r)x
a = initial amount
r = growth rate as a decimal
x = number of time intervals passed (days, months, years)
y = amount after x time
This formula is used to express a function of exponential growth.
Answer:
211*10⁹
Step-by-step explanation:
Total songs = 3country + 6pop + 7 disco + 3hip-hop = 19 songs
Max pop songs = 3
Case 1: no pop songs;
¹³C₁₀*⁶C₀= 286
Case 2: 1 pop song ;
¹³C₉*⁶C₁= 4290
Case 3: 2 pop songs;
¹³C₈*⁶C₂= 19305
Case 4: 3 pop songs;
¹³C₇*⁶C₃= 34320
Total = 58201
so, now if order is also to be considered for making playlists then the number of playlists is =58201*10! = 211*10⁹
Yes it would be d. Is the correct answer
Answer:
E
Step-by-step explanation:
We are given that a particle's position along the x-axis at time <em>t </em>is modeled by:
And we want to determine at which time(s) <em>t</em> is the particle at rest.
If the particle is at rest, this suggests that its velocity at that time is 0.
Since are we given the position function, we can differentiate it to find the velocity function.
So, by differentiating both sides with respect to <em>t</em>, we acquire:
Differentiate. So, our velocity function is:
So, we will set the velocity to 0 and solve for <em>t</em>. Hence:
We can divide both sides by 6:
Factoring yields:
By the Zero Product Property:
Hence:
Therefore, at the 3rd and 4th seconds, the velocity of the particle is 0, impling that the particle is at rest.
Our answer is E.
The answer is $2.25
I would use this proportion
24 / 3 18/x
18 times 3=54
54 divided by 24=2.25
X=$2.25