Answer: For the first option it is 28y^2 +31y - 10
Step-by-step explanation: Hope this helps
Answer:
If these are in exponent form -- the answer would be 2.01 x
> 2.8 x 10.3
Step-by-step explanation:
Look at the sheet attached.
90 is the outlier
for future reference, outliers are numbers much larger or much smaller than the other numbers in a set
for example
2,3,4,21,6
or 90,87,94,12,99
Let , coordinate of points are P( h,k ).
Also , k = 3h + 1
Distance of P from origin :
![d=\sqrt{h^2+k^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7Bh%5E2%2Bk%5E2%7D)
Distance of P from ( -3, 4 ) :
![d=\sqrt{(h+3)^2+(k-4)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28h%2B3%29%5E2%2B%28k-4%29%5E2%7D)
Now , these distance are equal :
![h^2+(3h+1)^2=(h+3)^2+(3h+1-4)^2\\\\h^2+(3h+1)^2=(h+3)^2+(3h-3)^2](https://tex.z-dn.net/?f=h%5E2%2B%283h%2B1%29%5E2%3D%28h%2B3%29%5E2%2B%283h%2B1-4%29%5E2%5C%5C%5C%5Ch%5E2%2B%283h%2B1%29%5E2%3D%28h%2B3%29%5E2%2B%283h-3%29%5E2)
Solving above equation , we get :
![P=(\dfrac{16}{21},\dfrac{23}{7})](https://tex.z-dn.net/?f=P%3D%28%5Cdfrac%7B16%7D%7B21%7D%2C%5Cdfrac%7B23%7D%7B7%7D%29)
Hence , this is the required solution.
Answer:
![\displaystyle a_8=142,11\ mg](https://tex.z-dn.net/?f=%5Cdisplaystyle%20a_8%3D142%2C11%5C%20mg)
Step-by-step explanation:
Geometric sequence
Each term in a geometric sequence can be computed as the previous term by a constant number called the common ratio. The formula to get the term n is
![\displaystyle a_n=a_1r^{n-1}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20a_n%3Da_1r%5E%7Bn-1%7D)
where
is the first term of the sequence
The problem describes Georgie took 275 mg of the medicine for her cold in the first hour and that in each subsequent hour, the amount of medicine in her body is 91% (0.91) of the amount from the previous hour. It can be written as
amount in hour n = amount in hour n-1 * 0.91
a)
This information provides the necessary data to write the general term as
![\displaystyle a_n=275\ .\ 0.91^{n-1}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20a_n%3D275%5C%20.%5C%200.91%5E%7Bn-1%7D)
b)
In the 8th hour (n=8), the remaining medicine present is Georgie's body is
![\displaystyle a_n=275\ .\ 0.91^{8-1}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20a_n%3D275%5C%20.%5C%200.91%5E%7B8-1%7D)
![\displaystyle a_n=275\ .\ 0.91^{7}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20a_n%3D275%5C%20.%5C%200.91%5E%7B7%7D)
![\boxed{\displaystyle a_8=142,11\ mg}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cdisplaystyle%20a_8%3D142%2C11%5C%20mg%7D)