Answer:
good luck
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
-4 (1/3)^(n-1)
Part A
<em><u>For n = 1</u></em>
-4(1/3)^(1 - 1)
-4(1/3)^0 Anything to the 0 power (except 0) is 1
-4 (1)
-4
<em><u>n = 2</u></em>
-4(1/3)^(2 - 1)
-4*(1/3)^1
-4/3
<em><u>n = 3</u></em>
- 4(1/3)^2
-4/9
<em><u>n = 4</u></em>
-4/(1/3)^3
-4 / 27
Part B
The series converges.
1/3 is between -1 <= 1/3 <= 1
Part C
<em><u>Formula</u></em>
Sum = a/(1 - r)
a = - 4
r = 1/3
Sum = -4/(1 - 1/3) = -4//2/3 = - 4/(0.666666666...) = -6
Answer: x = 2921, y = 579
Step-by-Step Explanation:
I am assuming that we just have to Solve for ‘x’ and ‘y’.
‘x’ = No. Of Contemporary Titles
‘y’ = No. Of Classic Titles
=> x + y = 3500 (Eq. 1)
=> x - y = 2342 (Eq. 2)
Adding Eq. 1 and Eq. 2, we get :-
2x = 3500 + 2342
2x = 5842
x = 5842/2
=> x = 2921
Therefore, x = 2921
Substitute value of ‘x’ in Eq. 1 :-
x + y = 3500
(2921) + y = 3500
y = 3500 - 2921
=> y = 579
Therefore, y = 579
Hence,
No. Of Contemporary Titles = 2921
No. Of Classic Titles = 579
Answer:
its an exponent
Step-by-step explanation:
The amount of water decreases
pints in 12 weeks.
Solution:
The amount of water decreases in 7 weeks =
pints
The amount of water decreases each week is same.
Let us first change the mixed fraction into improper fraction.
pints =
pints
The amount of water decreases in 1 week
![$=\frac{\frac{77}{8} }{7}](https://tex.z-dn.net/?f=%24%3D%5Cfrac%7B%5Cfrac%7B77%7D%7B8%7D%20%7D%7B7%7D)
![=\frac{77}{8\times7}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B77%7D%7B8%5Ctimes7%7D)
![=\frac{11}{8}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B11%7D%7B8%7D)
So, the amount of water decreases in 1 week is
pints.
The amount of water decreases in 12 week
![=\frac{11}{8}\times12](https://tex.z-dn.net/?f=%3D%5Cfrac%7B11%7D%7B8%7D%5Ctimes12)
![=\frac{132}{8}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B132%7D%7B8%7D)
![=16\frac{4}{8}](https://tex.z-dn.net/?f=%3D16%5Cfrac%7B4%7D%7B8%7D)
pints
Hence the amount of water decreases
pints in 12 weeks.