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3 years ago

E =mc^2 , solve for m

Mathematics

1 answer:

Salsk061 [2.6K]3 years ago

7 0

Answer:

$e = m {c}^{2} \\ m = \frac{e}{ {c}^{2} } \\ thank \: you$

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

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

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

now,

for convergence R|x| < 1

Therefore,

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

$-\frac{1}{21}$

and,

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

and,

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

8 0

3 years ago

A set has 62 proper subsets how many elements has it for?<br>

MrRissso [65]

Answer:

Step-by-step explanation:

Total number of subsets is given as

${2}^{n}$

But the subset of a set consists of the proper subsets, an empty set and the set itself.

Total number of subsets are 64

Therefore,

${2}^{n} = 64$

${2}^{n} = {2}^{6}$

Comparing both sides

$n = 6$

5 0

2 years ago

STOP AND HELP ME PLZZZZZ

Stella [2.4K]

Answer:

#12 is 1

Step-by-step explanation:

7 0

2 years ago

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(4, -3), (x, 1); slope -4

Alexandra [31]

Answer:

x = 3

Step-by-step explanation:

$m = \frac{y \frac{}{2} - y \frac{}{1} }{x \frac{}{2} - x \frac{}{1} }$

m = slope

x, y = coordinates

$- 4 = \frac{1 - ( - 3)}{x - 4} \\ - 4(x - 4) = 1 + 3 \\ - 4x + 16 = 4 \\ - 4 x = 4 - 16 \\ - 4x = - 12 \\ x= \frac{ - 12}{ - 4} \\ x = 3$

3 0

3 years ago

I struggled with these as u can see, but pls answer all 3 questions and show how you set all the problems up (ill be giving brai

olga55 [171]

Answer:

1+1-2 its 2

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers