Answer:
NOT PROPORTIONAL
Step-by-step explanation:
The given two fractions are: 
and 
.
Proportional fractions are those which have the same value when to reduced to the simplest form.
Consider two fractions 
and 
.
We say they are proportional if 
.
Or, if 
then we can say the fractions are proportional.
Here the fractions are: and .
LHS: 5 X 10 = 50.
RHS: 8 X 8 = 64.
Clearly they are not equal. So, we can say these two fractions are not proportional.
Answer:
.
For values of x>0, it can be rewritten as 
Step-by-step explanation:
For the expression:
We can apply this logarithmical property: 
Then,
If we assume values of <em>x </em>> 0 (non negative values for x), then the expression could be rewritten as follows:
, since 
We have to remember that <em>domain</em> (all possible values x) for logarithmic function is for all x > 0, or mathematically expressed as:
Domain: 
Answer: 3,756.375
<u>Step-by-step explanation:</u>
A = 
r²θ
= (45)²(3.71)
= 3,756.375
<span>f(x)=2x
f(1)=2*1=2
f^2(1)=2*2*1=4
f^3(1) =2*2*2*1=8
1. If you
continue this pattern, what do you expect would happen to the numbers as
the number of iterations grows?
I expect the numbers continue growing multiplying each time by 2.
Check your result by conducting at
least 10 iterations.
f^4(1) = f^3(1) * f(1) = 8*2 = 16
f^(5)(1) = f^4(1) * f(1) = 16 * 2 = 32
f^6 (1) = f^5 (1) * f(1) = 32 * 2 = 64
f^7 (1) = f^6 (1) * f(1) = 64 * 2 = 128
f^8 (1) = f^7 (1) * f(1) = 128 * 2 = 256
f^9 (1) = f^8 (1) * f(1) = 256 * 2 = 512
f^10 (1) = f^9 (1) * f(1) = 512 * 2 = 1024
2. Repeat the process with an initial value of −1.
What happens as the number of iterations grows?
f(-1) = 2(-1) = - 2
f^2 (-1) = f(-1) * f(-1) = - 2 * - 2 = 4
f^3 (-1) = f^2 (-1) * f(-1) = 4 * (-2) = - 8
f^4 (-1) = f^3 (-1) * f(-1) = - 8 * (-2) = 16
f^5 (-1) = f^4 (-1) * f(-1) = 16 * (-2) = - 32
As you see the magnitude of the number increases, being multiplied by 2 each time, and the sign is aleternated, negative positive negative positive ...
</span>
Answer: A
Step-by-step explanation:
In order to find constant of proportionality, you have to use the equation, x(?)=y
The ? being the number to plug in, which would be 1/4 in this case. 8 times 1/4 is equal to 2 and so on.
