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3 years ago

Need the answer before 8pm!!

Mathematics

1 answer:

marissa [1.9K]3 years ago

7 0

Answer:

It should be 160 degrees as well.

Step-by-step explanation:

The opposite angles of one another in parallelograms are equals

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Find the radius of convergence, r, of the series. ? n2xn 7 · 14 · 21 · ? · (7n) n = 1

defon

I'm guessing the series is supposed to be

$\displaystyle\sum_{n=1}^\infty\frac{n^2x^n}{7\cdot14\cdot21\cdot\cdots\cdot(7n)}$

By the ratio test, the series converges if the following limit is less than 1.

$\displaystyle\lim_{n\to\infty}\left|\frac{\frac{(n+1)^2x^{n+1}}{7\cdot14\cdot21\cdot\cdots\cdot(7n)\cdot(7(n+1))}}{\frac{n^2x^n}{7\cdot14\cdot21\cdot\cdots\cdot(7n)}}\right|$

The first $n$ terms in the numerator's denominator cancel with the denominator's denominator:

$\displaystyle\lim_{n\to\infty}\left|\frac{\frac{(n+1)^2x^{n+1}}{7(n+1)}}{n^2x^n}\right|$

$|x^n|$ also cancels out and the remaining factor of $|x|$ can be pulled out of the limit (as it doesn't depend on $n$ ).

$\displaystyle|x|\lim_{n\to\infty}\left|\frac{\frac{(n+1)^2}{7(n+1)}}{n^2}\right|=|x|\lim_{n\to\infty}\frac{|n+1|}{7n^2}=0$

which means the series converges everywhere (independently of $x$ ), and so the radius of convergence is infinite.

3 0

3 years ago

HELP AND YOU WILL GET BRAINLIEST!!!!!

stellarik [79]

The answer is 80!!!!!!!!

5 0

2 years ago

Read 2 more answers

For f(x) = 1/3x +5 f(3) =

Mrrafil [7]

Answer:

f(3) = 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 1/3x + 5

f(3) is x = 3

Step 2: Evaluate

Substitute: f(3) = 1/3(3) + 5
Multiply: f(3) = 1 + 5
Add: f(3) = 6

3 0

3 years ago

Expression 1 is -12x + 3

musickatia [10]

Answer:

-12 + 3 - (10x - 15x + 96)

Step-by-step explanation:

6 0

2 years ago

A box can had a maximum of 60 comic books.If comic books are bundled together in groups of 8, write and solve an inequality to f

Reika [66]

Answer: the maximum number of bundles of comic books that the box can carry is 7

Step-by-step explanation:

Let x represent the maximum number of bundles of comic books that the box can carry.

If comic books are bundled together in groups of 8, then the total number of comic books in x bundles of comic books would be 8x.

A box can hold a maximum of 60 comic books. Therefore, the inequality to find the maximum number of bundles of comic books that the box can carry is

8x ≤ 60

x ≤ 60/8

x ≤ 7.5

8 0

3 years ago