Answer:
The correct option is (A).
Step-by-step explanation:
The function representing the growth of number, in billions, of the DNA sequences in a database x years since 2010 is:

The general growth function can be represented as:

Here,
<em>y</em> = final value
<em>a</em> = initial value
<em>r</em> = growth rate
<em>t</em> = time
Com-paring the two functions we get:

This implies that the annual increase rate in number, in billions, of the DNA sequences is 32%.
Thus, the correct option is (A).
Answer:
C.) 
Explanation:
In the Point-Slope Formula [y - y₁ = m(x - x₁)], all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT SIGNS.
I am joyous to assist you anytime.
A) -2.8 > -3.5 is true. There are infinite solutions.
B) -7.75 < -8.45 is false. There is no solution.
C) 6.52 < 6.5 is is false. There is no solution.
D) -11.1 > 10.7 is false. There is no solution.
Answer:
a = 1
b = - 1
Explanation:
To know the values of a and b, we need to solve the following equation:
![z=\sqrt[]{2}\lbrack\cos (\frac{-\pi}{4})+i\sin (\frac{-\pi}{4})\rbrack](https://tex.z-dn.net/?f=z%3D%5Csqrt%5B%5D%7B2%7D%5Clbrack%5Ccos%20%28%5Cfrac%7B-%5Cpi%7D%7B4%7D%29%2Bi%5Csin%20%28%5Cfrac%7B-%5Cpi%7D%7B4%7D%29%5Crbrack)
So, replacing cos(-π/4) by √2/2 and sin(-π/4) by -√2/2, we get:
![z=\sqrt[]{2}\cdot(\frac{\sqrt[]{2}}{2}+i\frac{-\sqrt[]{2}}{2})](https://tex.z-dn.net/?f=z%3D%5Csqrt%5B%5D%7B2%7D%5Ccdot%28%5Cfrac%7B%5Csqrt%5B%5D%7B2%7D%7D%7B2%7D%2Bi%5Cfrac%7B-%5Csqrt%5B%5D%7B2%7D%7D%7B2%7D%29)
Applying the distributive property:
![\begin{gathered} z=\frac{\sqrt[]{2}\cdot\sqrt[]{2}}{2}-\frac{\sqrt[]{2}\cdot\sqrt[]{2}}{2}i \\ z=\frac{2}{2}-\frac{2}{2}i \\ z=1-1i \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20z%3D%5Cfrac%7B%5Csqrt%5B%5D%7B2%7D%5Ccdot%5Csqrt%5B%5D%7B2%7D%7D%7B2%7D-%5Cfrac%7B%5Csqrt%5B%5D%7B2%7D%5Ccdot%5Csqrt%5B%5D%7B2%7D%7D%7B2%7Di%20%5C%5C%20z%3D%5Cfrac%7B2%7D%7B2%7D-%5Cfrac%7B2%7D%7B2%7Di%20%5C%5C%20z%3D1-1i%20%5Cend%7Bgathered%7D)
Therefore, we can complete the equation as:

It means that a = 1 and b = - 1.