Answer:
A
Step-by-step explanation:
The function is 
To find the maximum population, we need to set t towards infinity to get our answer.
So, we replace time with maximum (
). Let's check:
The population of birds approaches 1620 as t goes towards infinity. So we can say the max population of the species is 1620.
Correct answer is A
This problem can be solved in two ways, the long way, or the short way.
1. The long way
We know that the base of the triangle is along the x-axis, and the length of the base is 20.
The centre of mass is located at 2/3 of the distance from vertex (3,4) along the median, which cuts the base at (10,0).
Therefore the centre of mass is located at
x=3+(10-3)*2/3=23/3
y=4/3
2. The short way
It turns out that the centre of mass of a triangle sheet is located at the mean of the coordinates of the three vertices, i.e.
CG=((0+20+3)/3, (0+0+4)/3)=(23/3, 4/3) as before.
Answer:
D. 8.053 x 10^4
Step-by-step explanation:
Given :
7.17 x 10^4 and 8.17 10^5
The number in between the two Given numbers should be greater Than 7.17*10^4 but less than 8.17*10^5
A. 6.92 x 10^4 - this is less than 7.17 * 10^4 ; hence doesn't fit in
B. 7.2 x10^9 - this is greater than both values, hence, doesn't fit in
C. 7.57 x 10^3 - this is less than 7.17*10^4 ; hence does not fit in
D. 8.053 x 10^4 - this fits in as it is greater than 7.17*10^4 and less than 8.17*10^5 ; hence, it is the correct answer.
Answer:
C = 364.24
Step-by-step explanation:
Comment
The circumference and the radius are related to one another. The constant relating them is pi which is a fixed number of 3.14 The formula for the circumference is C = 2*pi * r
Givens
pi = 3.14
r = 58 cm
Circumference = ?
Formula
C = 2*pi * r
C = 2 * 3.14 * 58
C = 364.24
