Answer:
Step-by-step explanation:
Exponential growth function is
Where 'a' is the initial population
r is the rate of growth and x is the time period in years
a steady population of 32,000. So initial population is 32,000
an increase of 8% per year. the rate of increase is 8% that is 0.08
a= 32000 and r= 0.08
Plug in all the values in the general equation
Answer:
C. A horizontal stretch to produce a period of and a vertical compression.
Step-by-step explanation:
We are given the parent function as
It is given that, transformations are applied to the parent function in order to obtain the function i.e.
That is, we see that,
The parent function is stretched horizontally by the factor of
which gives the function
.
Further, the function is compressed vertically by the factor of which gives the function
.
Now, we know,
If a function f(x) has period P, then the function cf(bx) will have period .
Since, the period of is
, so the period of
is
=
Hence, we get option C is correct.
<em><u>Solution:</u></em>
Let "x" be the number of roses
From given,
<em><u>1/4 of the roses are red</u></em>
<em><u>1/3 of the remainder are yellow</u></em>
Therefore,
<em><u>Rest are pink</u></em>
Therefore,
There are 24 more pink roses than red roses
Therefore,
Number of pink roses = 24 + red roses
Thus there are 96 roses altogether
Answer:
Alice reaches 11 metres below the centre as lowest height.
Step-by-step explanation:
Cosine is a bounded function between -1 and 1, so that the lowest height that Alice achieves in Ferris wheel is:
Where:
- Time, measured in seconds.
- Height with respect to centre, measured in metres.
If , then:
Alice reaches 11 metres below the centre as lowest height.