Answer:
Step-by-step explanation:
Taking into account that the growth rate of the number of species on the island is proportional to the density of species (number of species between area of the island), a model based on a differential equation is proposed:
This differential equation can be solved by the method of separable variables like this:
with what you get:
. Taking exponentials on both sides of the equation:
how do you have to 
, then
Answer:
Correct option A
Step-by-step explanation:
Average rate = 260/4 = 65 mph
It increases by 12mph
So 65+12 = 77 mph
Correct option A
We use the formula
L = rθ
where s is the arc length or the length of the wire
r is the distance from the center to the end of the rod
θ is the angle made by the rod with the wall
Substituting the values and converting the angle to radian measure
L = 4 (40°) (π/180°)
L = 2.79 feet<span />
-3x + y - 2z = 10 |* -1
3x - y +2z = -10
5x -2y -2z = 12
--------------------------- I add these equations term by term
8x - 3y = 2
-3x + y - 2z =10 ⇒ -3x + y - 2z =10
x -y +z = 23 | *2 2x - 2y + 2z = 46
----------------------------- I add these eq.
-x -y = 56
8x - 3y = 2
-x -y = 56
this is the system after i reduce it ( it has only two variables x and y)
Answer:
x = 25/4
Step-by-step explanation:
Because of the known similarity of the triangles, we know that
10 x
----- = ----
16 10
Cross-multiplying, we get 16x = 100, and thus x = 100/16 = 50/8 = 25/4
x = 25/4
