Answer:
f
(
10
x
−
6
)
=
1000
x^
3
−
1800
x
^2+
1170
x
−
306
Step-by-step explanation:
Answer:
![P=40(1.03526)^{t}](https://tex.z-dn.net/?f=P%3D40%281.03526%29%5E%7Bt%7D)
Step-by-step explanation:
<u>Exponential Growth
</u>
The natural growth of some magnitudes can be modeled by the equation:
![P=P_o(1+r)^{t}](https://tex.z-dn.net/?f=P%3DP_o%281%2Br%29%5E%7Bt%7D)
Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.
The initial number of bacteria is Po=40 and it doubles (P=2Po) at t=20 min. With that point we can find the value of r:
![2P_o=P_o(1+r)^{20}](https://tex.z-dn.net/?f=2P_o%3DP_o%281%2Br%29%5E%7B20%7D)
Simplifying:
![(1+r)^{20}=2](https://tex.z-dn.net/?f=%281%2Br%29%5E%7B20%7D%3D2)
Solving for 1+r:
![1+r=\sqrt[20]{2}](https://tex.z-dn.net/?f=1%2Br%3D%5Csqrt%5B20%5D%7B2%7D)
![1+r=1.03526](https://tex.z-dn.net/?f=1%2Br%3D1.03526)
The exponential function that models the situation is:
![\mathbf{P=40(1.03526)^{t}}](https://tex.z-dn.net/?f=%5Cmathbf%7BP%3D40%281.03526%29%5E%7Bt%7D%7D)
Supplementary angles are two angles whose measures sum to a 180 degrees and complementary are the sum have to add up to 90 degrees.So 180÷2=90;90÷2=45;180÷6=30 and 90÷6=15.Altough the answer is A.
The <span>isosceles triangle has two congruent sides
Their lengths are (</span> x + 3.8 ) and <span>16
Equate them :
x+3.8=16
Solve for x:
3=16-3.8=12.2
</span>
The answer I got was 12 if needed I can take a picture of how I worked it