This generates the recurrence relation
Because you have
it follows that
for all
.
For
, you have
so that, in general, for
,
, you have
Now, for
, you have
and so on, with a general pattern for
,
, of
Putting everything together, we arrive at the solution
To show this solution is sufficient, I've attached is a plot of the solution taking
and
, with
. (I was hoping to be able to attach an animation that shows the series solution (orange) converging rapidly to the exact solution (blue), but no such luck.)
The answer is A: y=96 The maximum number of moose that the forest can sustain at one time.
Answer:
1.
2. x = 16
3. Part 1: P is the independent variable and S is the dependent variable.
Part 2: x is the independent variable and y is the dependent variable.
Step-by-step explanation:
1. To write the function notation for:
Sales tax is 7% of the total price.
Let the total price be .
And sales tax be .
As per the given statement:
Writing it in the function notation:
2. To find the value of x such that and
Putting the value of
3. To find the dependent and independent variable.
Independent variables are those whose value is not dependent on the other variable's values.
Dependent variables are dependent on the value of other variables.
In question 1:
P is the independent variable.
S is the dependent variable.
In question 2:
If we write it as follows:
x is the independent variable and y is the dependent variable.
Answer:
x + 4 = 11 x = 7
Step-by-step explanation:
I hope this helped :)
6.1.8 The following set of scores was obtained from a quiz: 4, 5, 8, 9, 11, 13, 15, 18, 18, 18, 20. The teacher computes the usu
Inessa05 [86]
Answer:
B. Median
D. IQ R
Step-by-step explanation:
from the given data :
mean = 12.6364 , median =13,
st. dev = 5.6262
Q3 = 18 , Q1 = 8
IQ R = Q3 - Q1 = 18-8 = 10
One of the 18s should be 16 then,
mean = 12.4545, median = 13,
st. dev = 5.4656
Q3 = 18 , Q1 = 8
IQ R = Q3 - Q1 = 18-8 = 10
So, median and IQ R will not need to be changed