Answer these questions please. (All three)
1 answer:
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Answer:
RV = 15, ∠ VUR = 48°
Step-by-step explanation:
The diagonals of a rectangle are congruent , so
RT = SU , that is
5x - 10 = 4x - 2 ( subtract 4x from both sides )
x - 10 = - 2 ( add 10 to both sides )
x = 8
Then
RT = 5x - 10 = 5(8) - 10 = 40 - 10 = 30
The diagonals bisect each other , then
RV = 0.5 × 30 = 15
---------------------------------------------------------------
∠ RVU = ∠ svt = 84° ( vertical angles )
RV = UV ( diagonals are congruent and bisect each other )
Then Δ RVU is isosceles with base angles congruent , then
∠ VUR = =
= 48°
Answer:
a
OR
b
and
OR
and
c
Generally the carrying capacity is can be defined as the highest amount of population and environment can support for an unlimited duration or time period
d
Step-by-step explanation:
From the question we are told that
The population model is
Generally at equilibrium
So
=>
Or
=>
Thus at equilibrium P = 0 or P = 135
Generally when the population is increasing we have that
So
=>
and
Now when the first value of P i.e for
So when population increasing the values of P are
and
OR
and
So to obtain initial values of P where the population converge to the carrying capacity as
The rate equation can be represented as
So we will differentiate the equation again we have that
Now as
So
=>
=>