By graphing the given points, we will get the attached figure
which represents:
f(x) = 3 sin x
but sin x = cos (x - π/2)
∴ f(x) = 3 cos ( x - π/2 )
The correct choice is option ⇒⇒⇒ <span>f(x) = 3 cos(x − pi over 2 )
</span>
Answer:
7630
Step-by-step explanation:
We have that the distance of a comet from Earth is about 7.63*10³ .
This number is given in scientific notation.
We want to write this number in standard form.
Since we are multiplying by a power of 10, we move forward three times.
Therefore in standard form:

Answer:
3x^3 + 3x^2 - 27x - 27
Step-by-step explanation:
Answer:
-Exponential Decay
-Decay factor is (1-0.05)
Step-by-step explanation:
-Given that the number decreases by a defined rate each year from the initial size by 5%,
-This is an exponential decay function of the form:

Where:
is the quantity/size after time t
is the initial size
is the rate of decay
-Our function can the be written as

Hence, the decay rate/factor is 0.05
#Alternatively
The exponential decay can be of the form:

Where:
y is the size at time x, a is the initial size, x is time and b is the decay factor.
b is of the form 

Hence, the decay factor is (1-0.05)
(4^9)^5 is equal to 4^45. You multiply 9 and 5 to get 45.