Since there are 26 letter choices for the first spot, and 26 for the next, etc. we get 26^22 for the first 22 letters. For the 44 numbers, we have 10^44 due to that there are 10 options for the first number, and it doesn't matter what it is - there's still 10 options for the next number. In addition to that, for each number you put in the first slot, there are 10 ways to put numbers in the second slot, etc..
26^22*10^44 is your answer due to that if you think of it as 2 numbers in a row at this point, there are 10^44 different numbers for each different letter change in those 26^22.
The correct answer is C)
![a_n=2\times(-4)^{n-1}](https://tex.z-dn.net/?f=a_n%3D2%5Ctimes%28-4%29%5E%7Bn-1%7D)
.
Since it is a geometric sequence, we multiply by a constant, r, each time to find the next term.
g₂ = -8
g₅ = 512
g₂ * r * r * r = g₅
-8(r)(r)(r) = 512
-8r³ = 512
Divide both sides by -8:
-8r³/-8 = 512/-8
r³ = -64
Take the cubed root of both sides:
∛r³ = ∛-64
r = -4
Now we work backward from g₂ to find g₁:
-8/-4 = 2
We have that g₁ = 2 and r = -4. This gives us
Maggie reads 2/3 of a book per week.
From the question,
We are to determine the number of books Maggie reads per week.
Let x represent the number of books she reads per week.
From the given information,
Maggie reads 1/3 of a book every 3/4 of a week
If Maggie reads 1/3 of a book every 3/4 of a week
Then,
She will read x of a book in 1 week
x = ![\frac{1\times \frac{1}{3} }{\frac{3}{4} }](https://tex.z-dn.net/?f=%5Cfrac%7B1%5Ctimes%20%5Cfrac%7B1%7D%7B3%7D%20%7D%7B%5Cfrac%7B3%7D%7B4%7D%20%7D)
x = ![\frac{1}{3} \div \frac{3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%20%5Cdiv%20%5Cfrac%7B3%7D%7B4%7D)
x = ![\frac{1}{3} \times \frac{4}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%20%5Ctimes%20%5Cfrac%7B4%7D%7B3%7D)
x = ![\frac{4}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B6%7D)
x = ![\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D)
Hence, Maggie reads 2/3 of a book per week.
Learn more on calculating quantity here: brainly.com/question/11723272
I think it is...
F(1)=1(2)-1+2 which equals -1
I'm not sure tho
Answer:
p = 2 or p = -15 the answer is A.
Step-by-step explanation:
Solve for p:
p^2 + 13 p - 30 = 0
The left hand side factors into a product with two terms:
(p - 2) (p + 15) = 0
Split into two equations:
p - 2 = 0 or p + 15 = 0
Add 2 to both sides:
p = 2 or p + 15 = 0
Subtract 15 from both sides:
Answer: p = 2 or p = -15