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:
The taxi charges $2.5 for every mile.
Step-by-step explanation:
We are given the following in the question:
Let x be the initial taxicab fare and y be the additional amount for every mile traveled.
Cost for a two mile ride = $7.00
Thus, we can write the equation:
Cost of a nine mile ride = $24.50
Thus, we can write the equation,
Solving the two equation by elimination method, we have,
Thus, $2 is the initial fare and $2.5 is the cost for every mile traveled.
Answer:
Musah's final point from the centre = 60.355 steps
Step-by-step explanation:
From the given information:
Musah stands at the centre of a rectangular field. He first takes 50 steps north, then 25 steps west and finally 50 steps on a bearing of 315°
The sketch for this information can be seen in the attached file below.
How far west is Musah's final point from the centre?
In order to determine how far west is Musah's,
Let d be the distance of how far;
Then d = QR + RS cos θ
In the North West direction,
cos θ = cos 45°
d = 25 + 50( cos 45°)
d = 25 + 50( )
d = 25 + 50( 0.7071)
d =25 + 35.355
d = 60.355 steps
Musah's final point from the centre = 60.355 steps
Answer:
-1.14
Step-by-step explanation:
The given information in statement is
mean=μ=69
standard deviation=σ=3.5
Let X be the Ishaan's exam score
X=65
The Z score can be computed as
z=-1.1429
z=-1.14 (rounded to two decimal places).
Thus, the computed z-score for Ishaan's exam grade is -1.14.