Answer:
yes there the same
Step-by-step explanation:
there the same because 15 oats to 12 blueberries simplified equals to 5:4
and 45 blueberries to 36 oats are simplified to lowest equals 5:4 and this makes them equivalent
Answer:

Step-by-step explanation:
Since this is a degree we going to use the arc length formula

where x is the central angle measure and r is the radius.
The radius is 6 and the central angle is 48 so let plug that in the formula

Multiply 2 pi by 6




(previously gave the won't answer, so decided to edit and remove it sorry)
Hello,
Answer C
Be carefull
A: is (gof)(x)=g(f(x))=g(x^8)=6x^8-14
C: fog(x)=f((g(x))=f(6x-14)=(6x-14)^8
Answer:
339
Step-by-step explanation:
<u>Exponential Function</u>
General form of an exponential function: 
where:
- a is the initial value (y-intercept)
- b is the base (growth/decay factor) in decimal form
- x is the independent variable
- y is the dependent variable
If b > 1 then it is an increasing function
If 0 < b < 1 then it is a decreasing function
Given information:
- a = 240 (initial population of bacteria)
- x = time (in hours)
- y = population of bacteria
Therefore: 
To find an expression for the population after 1 hour, substitute x = 1 into the found equation:


We are told that the population after 9 hours is double the population after 1 hour. Therefore, make y equal to twice the found expression for the population after 1 hour, let x = 9, then solve for b:




![\implies b=\sqrt[8]{2}](https://tex.z-dn.net/?f=%5Cimplies%20b%3D%5Csqrt%5B8%5D%7B2%7D)

Therefore, the final exponential equation modelling the given scenario is:


To find how many bacteria there will be after <u>4 hours</u>, substitute x = 4 into the found equation:



Therefore, there will be <u>339 bacteria</u> (rounded to the nearest whole number) after 4 hours.