How many edges does a cube have?

Answers

Answer 1
Answer: A cube has 12 edges ( 4 on top, 4 under and 4 from top to bottom)

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Round 496.739386253 to the nearest whole number.

Answers

Answer:

497

Step-by-step explanation:

If x ≥ 5, we round up.

If x < 5, we round down.

Since 7 ≥ 5, we round 496.739386253 to 497.

Answer:

467

Step-by-step explanation:

7 is greater than 5 so the six is rounded to a 7

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The nth term of a series is represented by an=2^n/5^n+1 ⋅n . George correctly applies the ratio test to determine whether the series converges or diverges. Which statement reflects George's conclusion? From the ratio test, r = 0.4. The series diverges.


From the ratio test, r = 0.4. The series converges.


From the ratio test, r = 4. The series converges.


From the ratio test, r = 4. The series diverges.

Answers

Answer: From the ratio test, r = 0.4. The series converges.

The given term is: a_(n)=(2^(n))/(5^(\left(n+1\right)))\cdot n

So the next term is = a_(n+1)=(2^(\left(n+1\right)))/(5^(\left(n+2\right)))\cdot\left(n+1\right)

The ratio test is :

\left|(a_(n+1))/(a_(n))\right|=\left|((2^(\left(n+1\right)))/(5^(\left(n+2\right)))\cdot\left(n+1\right))/((2^(n))/(5^(\left(n+1\right)))\cdot n)\right|\n\nlim_(n\to\infty)\left|(a_(n+1))/(a_(n))\right|=lim_(n\to\infty)\left|(2^(\left(n+1\right)))/(2^(n))\cdot(5^(\left(n+1\right)))/(5^(\left(n+2\right)))\cdot(\left(n+1\right))/(n)\right|

lim_(n\to\infty)\left|(a_(n+1))/(a_(n))\right|=lim_(n\to\infty)\left|(2^(\left(n+1\right)))/(2^(n))\cdot(5^(\left(n+1\right)))/(5^(\left(n+2\right)))\cdot(\left(n+1\right))/(n)\right|

lim_(n\to\infty)\left|(a_(n+1))/(a_(n))\right|=lim_(n\to\infty)\left|2\cdot(1)/(5)\cdot(\left(n+1\right))/(n)\right|

lim_(n\to\infty)\left|(a_(n+1))/(a_(n))\right|=(2)/(5)lim_(n\to\infty)\left|1+(1)/(n)\right|

lim_(n\to\infty)\left|(a_(n+1))/(a_(n))\right|=(2)/(5)\left(1+0\right)

lim_(n\to\infty)\left|(a_(n+1))/(a_(n))\right|=0.4

Since 0.4 < 1 so the series converges.

Learn more: brainly.com/question/1214333

Answer:  Choice B) r = 0.4; series converges

========================================

Explanation:

Check out the attached image below to see the steps on how I computed r.

The value you should get is r = 0.4

Since r is less than 1, the series converges.

---------

Extra info:

If r > 1, then the series would diverge.

If r = 1, then the series may diverge, conditionally converge, or absolutely converge. Another test would be needed if you get r = 1.

What is the measure ofA
30°
C

Answers

Answer:

120°

Step-by-step explanation:

Which operation should you do first 8 +3(7×4)-5÷2

Answers

Alsways do
 
P
E
M
D
A
S

do what in parenthesis first 
u should do what is in parentheses first because if u do PEMDAS, you do whatever u see first, and since theres parentheses, u do whats it inside of th 

2x-[4-3(2^5+18y)] simplify

Answers

2x-[4-3(2^5+18y)]\n\n=2x-[4-3(32+18y)]\n\n=2x-(4-96-54y)\n\n=2x-(-92-54y)\n\n=2x+92+54y
= 2x - [4 - (96 + 54y)]
= 2x - 4 + 96 + 54y
= 2x + 54y + 92

Solve 4(x + 1) = 4x + 4.

Answers

The answer will be 0.
4x+4=4x+4
=0

Answer: 0

Step-by-step explanation: 4x+1=4x+4

                                         -4x.        -4x