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Alexxandr [17]
2 years ago
8

Please help me with these questions :) tysm

Mathematics
1 answer:
In-s [12.5K]2 years ago
4 0

Answer:

1. B- FH

2. D

i hope these answers are correct and was able to help you

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Determine the radius of convergence of the following power series. Then test the endpoints to determine the interval of converge
tresset_1 [31]

Answer:

Radius of the convergence is R = \frac{1}{21}

and,

The Interval of convergence is -\frac{1}{21}

Step-by-step explanation:

Given function : Σ(21x)^k

Now,

Using the ratio test, we have

R = \lim_{n \to \infty} |\frac{21x^{k+1}}{21x^{k}}|

or

R = \lim_{n \to \infty} |\frac{21x^{k}\times21x^{1}}{21x^{k}}|

or

R = \lim_{n \to \infty} |21x^{1}|

now,

for convergence R|x| < 1

Therefore,

\lim_{n \to \infty} |21x^{1}| < 1

or

-\frac{1}{21}

and,

Radius of the convergence is R = \frac{1}{21}

and,

The Interval of convergence is -\frac{1}{21}

8 0
3 years ago
the height of a triangle is 4x inches and the base is (5x+1) inches. the area of a triangle is 500 square inches. what are the d
marin [14]
You mean what x is? Please add more detail.
8 0
3 years ago
HELP PLEASE!! Fast ;))
Tom [10]
What is the volume of the composite figure? (Use for .) Do NOT round your answer

answer- 2388.16

in- 3
3 0
1 year ago
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63 first-year teachers and 27 experienced teachers attended a school staff meeting. What percentage of the teachers in the meeti
nexus9112 [7]

Answer: 70%

Step-by-step explanation:

Step 1:

Total number of teachers = 63 + 27

                                            =  90

Step 2:

The percentage of the teachers in the meeting were first-year teachers:

(63 ÷ 90) × 100 = 70%

4 0
3 years ago
Jamal states that ax + b = a(x + c), given a, b, and c are not equal to 0. What must be the value of c for Jamal's statement to
Anna35 [415]

ANSWER

For Jamal statement to be true,

c = \frac{b}{a}

EXPLANATION

The given statement is:

ax + b = a(x + c)

We expand the left hand side to obtain,

ax + b = ax + ac

Subtract ax from from both sides of the equation.

b=ac

We know that, a≠0 , so we can divide through by 'a'.

\frac{b}{a}  = c

6 0
3 years ago
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