So if u simplify them all it would be 5000000, 4000000, 500000, 6000000, 7500000 so it would be least is 500000, 4000000, 5000000, 6000000, and 75000000 being the greatest... I hope this helps uuuu! :)
Answer:
2,390
Step-by-step explanation:
Answer:
![\huge\boxed{\sf A = -7/2}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7B%5Csf%20A%20%3D%20-7%2F2%7D)
Step-by-step explanation:
<u>Given function is:</u>
![\sf f(x) = 2x^3+Ax^2 + 4x-5](https://tex.z-dn.net/?f=%5Csf%20f%28x%29%20%3D%202x%5E3%2BAx%5E2%20%2B%204x-5)
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Put x = 2
![\sf f(2) = 2(2)^3+A(2)^2+4(2)-5\\\\f(2) = 2(8) + A(4)+8-5\\\\f(2) = 16 + 4A+3\\\\f(2) = 4A+19\\\\Given \ that \ f(2) = 5\\\\So,\\\\5 = 4A + 19\\\\Subtracting \ 19 \ to \ both \ sides\\\\5-19 = 4A\\\\-14 = 4A\\\\Dividing\ both\ sides\ by\ 4\\\\A = -14 / 4\\\\A = -7/2](https://tex.z-dn.net/?f=%5Csf%20f%282%29%20%3D%202%282%29%5E3%2BA%282%29%5E2%2B4%282%29-5%5C%5C%5C%5Cf%282%29%20%3D%202%288%29%20%2B%20A%284%29%2B8-5%5C%5C%5C%5Cf%282%29%20%3D%2016%20%2B%204A%2B3%5C%5C%5C%5Cf%282%29%20%3D%204A%2B19%5C%5C%5C%5CGiven%20%5C%20that%20%5C%20f%282%29%20%3D%205%5C%5C%5C%5CSo%2C%5C%5C%5C%5C5%20%3D%204A%20%2B%2019%5C%5C%5C%5CSubtracting%20%5C%2019%20%5C%20to%20%5C%20both%20%5C%20sides%5C%5C%5C%5C5-19%20%3D%204A%5C%5C%5C%5C-14%20%3D%204A%5C%5C%5C%5CDividing%5C%20both%5C%20sides%5C%20by%5C%204%5C%5C%5C%5CA%20%3D%20-14%20%2F%204%5C%5C%5C%5CA%20%3D%20-7%2F2)
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hope this helped!
<h2>~AnonymousHelper1807</h2>
Answer:
![a_n=a_{n-1}+2^{n-1}\ \ n>1](https://tex.z-dn.net/?f=a_n%3Da_%7Bn-1%7D%2B2%5E%7Bn-1%7D%5C%20%5C%20n%3E1)
Step-by-step explanation:
Recursive Sequence
We are given the following sequence:
-1, 1, 5, 13...
It's required to find the recursive term for the sequence.
A recursive formula calculates each term as a function of one or more previous terms.
To find the recursive formula, we must find a pattern and transform it into a math expression.
Let's write the sequence, and below it, the difference of consecutive terms:
-1, 1, 5, 13...
+2, +4, +8
Note the difference between consecutive terms is always a power of 2, starting from 2^1, 2^2, 2^3.
The exponent is one less than the number of the term, thus:
![a_n-a_{n-1}=2^{n-1}](https://tex.z-dn.net/?f=a_n-a_%7Bn-1%7D%3D2%5E%7Bn-1%7D)
Thus:
![\mathbf{a_n=a_{n-1}+2^{n-1}\ \ n>1}](https://tex.z-dn.net/?f=%5Cmathbf%7Ba_n%3Da_%7Bn-1%7D%2B2%5E%7Bn-1%7D%5C%20%5C%20n%3E1%7D)
Testing:
n=1
(given).
n=2
![a_2=a_{1}+2^{2-1}=-1+2^{1}=1](https://tex.z-dn.net/?f=a_2%3Da_%7B1%7D%2B2%5E%7B2-1%7D%3D-1%2B2%5E%7B1%7D%3D1)
n=3
![a_3=a_{2}+2^{3-1}=1+2^{2}=5](https://tex.z-dn.net/?f=a_3%3Da_%7B2%7D%2B2%5E%7B3-1%7D%3D1%2B2%5E%7B2%7D%3D5)
n=4
![a_4=a_{3}+2^{4-1}=5+2^{3}=13](https://tex.z-dn.net/?f=a_4%3Da_%7B3%7D%2B2%5E%7B4-1%7D%3D5%2B2%5E%7B3%7D%3D13)
Answer:
The taxi drivers average profit per trip is $9.50.
Step-by-step explanation:
The taxi driver provides services in Zone A and Zone B.
Let
= destination is in Zone A and
= destination is in Zone B.
<u>Given:</u>
The probabilities are:
![P(D_{A}|A)=0.65\\P(D_{B}|A)=0.35\\P(D_{A}|B)=0.45\\P(D_{B}|B)=0.55](https://tex.z-dn.net/?f=P%28D_%7BA%7D%7CA%29%3D0.65%5C%5CP%28D_%7BB%7D%7CA%29%3D0.35%5C%5CP%28D_%7BA%7D%7CB%29%3D0.45%5C%5CP%28D_%7BB%7D%7CB%29%3D0.55)
The Expected profit are:
If the trip is entirely in Zone A the expected profit is, E (A - A) = $7.
If the trip is entirely in Zone B the expected profit is, E (B - B) = $8.
If the trip involves both the zones the expected profit is,
E (A - B) = E (B - A) = $12.
Determine the expected profit earned in Zone A as follows:
![E(Profit\ in\ A)=E(A-A)\times P(D_{A}|A)+E(A-B)\times P(D_{A}|B)\\=(7\times 0.65)+(12\times0.35)\\=8.75](https://tex.z-dn.net/?f=E%28Profit%5C%20in%5C%20A%29%3DE%28A-A%29%5Ctimes%20P%28D_%7BA%7D%7CA%29%2BE%28A-B%29%5Ctimes%20P%28D_%7BA%7D%7CB%29%5C%5C%3D%287%5Ctimes%200.65%29%2B%2812%5Ctimes0.35%29%5C%5C%3D8.75)
Determine the expected profit earned in Zone B as follows:
![E(Profit\ in\ B)=E(B-B)\times P(D_{B}|B)+E(B-A)\times P(D_{B}|A)\\=(8\times 0.45)+(12\times0.55)\\=10.20](https://tex.z-dn.net/?f=E%28Profit%5C%20in%5C%20B%29%3DE%28B-B%29%5Ctimes%20P%28D_%7BB%7D%7CB%29%2BE%28B-A%29%5Ctimes%20P%28D_%7BB%7D%7CA%29%5C%5C%3D%288%5Ctimes%200.45%29%2B%2812%5Ctimes0.55%29%5C%5C%3D10.20)
The total expected profit is:
![E (Profit)=E(Profit\ in\ A)\times P(Zone A) + E(Profit\ in\ B)\times P(Zone B)\\=(8.75\times0.50)+(10.20\times 0.50)\\=9.475\\\approx9.50](https://tex.z-dn.net/?f=E%20%28Profit%29%3DE%28Profit%5C%20in%5C%20A%29%5Ctimes%20P%28Zone%20A%29%20%2B%20E%28Profit%5C%20in%5C%20B%29%5Ctimes%20P%28Zone%20B%29%5C%5C%3D%288.75%5Ctimes0.50%29%2B%2810.20%5Ctimes%200.50%29%5C%5C%3D9.475%5C%5C%5Capprox9.50)
Thus, the taxi drivers average profit per trip is $9.50.