Answer:
yes
Step-by-step explanation:
each input is put with only one output therefore it is a function
First of all, 2^n and 3^n are exponentials with different bases, and thus their sum cannot be simplified beyond 2^n + 3^n. In other words, these two functions cannot be combined ino one function (such as 4^n).
You may gain much more insight by graphing 2^n, 3^n and 4^n to determine whether there is truth in the given statement or not.
Answer:
40.5
Step-by-step explanation:
i would recommend changing the 90% into a decimal
90% ⇒ .90
then now you can just multiply .90x45
.90x45=40.5
Answer:
The bacteria population will change with a growth factor of 1/12 for every half an hour or 1/12 per 30 minutes. (I don't know what the options are, but anything related to the answer I gave should be right.)
Step-by-step explanation:
Simple mathematics should get you the right answer. Here we are dealing with a fraction in a fraction. The first scenario should look like this: <u>1/6 / 1</u>. Basically, that looks like one-sixth over one. Obviously, if we divide 1/6 by 1, we would get 1/6 itself again and we want to know what growth factor the population changes by for every half an hour. There are <u>30 minutes</u> in half an hour and <u>60 minutes</u> in one hour. Let's use the simplified terms to our advantage. Now, our first scenario should look like this: <u>1/6 / 60</u>. Looks better now doesn't it? (Check the linked image to see the full scenario and how I did it in this next part.) For me, I divided 60 by 30 to get the scale factor, which is 2, then I divide 2 by 1/6 to get 1/12. Finally, we have 1/12 per half an hour! If I am wrong, please let me know and I hope this helps! :D
1. a(x+b)
2. ax+ab
example:
2(x+3)
=2.x + 2.3
=2x + 6