Answer:
C. (-2,4)
Step-by-step explanation:
We have been given a function 
and we are asked to find the vertex of our absolute value function.
The rules for the translation of a function are as follows:
Upon comparing our absolute function with above transformations we can see that our function is shifted to two units right of the origin(0,0) so x coordinate of our absolute function will be -2.
Our function is shifted upward from origin by 4 units, therefore, y-coordinate of our absolute value function will be 4.
Therefore, the vertex of our absolute value function will be on point (-2,4) and option C is the correct choice.
Answer
61.6º
Step-by-step explanation:
Answer:
87.5
Step-by-step explanation:
87.5 because if your earning a 3.5% of the $500 then that means you're earning 17.5 dollars.in an year therefore in five years you multiply the 17.5 x 5 years which will give you at 87.5 so we've had in total you can get to 587.5 dollars
To solve that question we can think by the following way:
- The first letter can be any of the letters (A, C, T or G). Therefore there are 4 possibilites.
- To choose the second letter of the sequence, any letter also can be chose. So, one more time, there are 4 possibilites.
Using the fundamental principle of counting, we will find out that can be formed 
differents sequences (for example, AA, AG, TT, TG, CT...).
Know we know that, we can generalize. If I have 
elements and I must choose one of them 
times to do a sequence, the total number of sequence that I can form will be 
.
In our question, we want to know how many DNA sequence are exactly 29 letters long. As indicated above, the answer for that is 
(29 times) 
.
Therefore, there are 
DNA sequences with exactly 29 letters long.
I hope I've helped you. =D
Enjoy your studies. \o/
