Groucho, Harpo, Chico, Zeppo, and Gummo have won 2 tickets to the opera. They will randomly choose which two of them have to attend. How many different 2-person groups are possible?

Answers

Answer 1

Answer: There are 10, 2 person groups that are possible.

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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 :

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

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

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

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

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

Since 0.4 < 1 so the series converges.

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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.

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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.

To paint a house, two painters are hired. The first painter can paint the house in ten hours. The second painter will need six hours to paint the entire house. If the two painters start painting at 8:00 am, at what time will they finish painting the house?

Answers

so
p1 can paint hours in 10 hours, so 1/10 house per 1 hour

p2 can paint house in 6 hours so 1/6 house per 1 hour

if both start at 8:00, when finish??
find how many hours they take

1 hour=p1+p2=1/10+1/6
just add 1/10 and 1/6 and see how many to get 1/1 house done
1/10+1/6=3/30+5/30=8/30=4/15
xhours times 4/15=1
multiply both sides by 15/4 to clear fraction
xhours =15/4
xhours=3 and 3/4

they take 3 and 3/4 hours aka 3 hours and 45 mins so
8:00+3:45=11:45

they finish at 11:45 AM

If the edges of a cube add up to 4 feet in length, what is the volume of the cube?

Answers

4ft=48 inches and there are 12 edges on a cube, so each edge is 4 inches. And the volume is 64 cubic inches.

An Apple iPad sells for $699.00 on eBay. The markup is 30% on cost. What is the total cost of the iPadsold on eBay?

Answers

The cost of the iPad sold on eBay is $537.7

The mark up percentage is given by:

Mark up = [(selling price - cost price)/cost price] * 100%

Given that selling price = $699, mark up = 30%= 0.3. Let x represent the cost price, hence:

Mark up = [(selling price - cost price)/cost price] * 100%

0.3 = (699-x)/x

0.3x = 699 - x

1.3x = 699

x = $537.7

Therefore the cost of the iPad sold on eBay is $537.7

Find out more at: brainly.com/question/20548779

the cost of ipad = 699$
the markup = 30%
1% = 699/100 = 6.99$
30% = 6.99 x 3 = 209.7$
the markup = 209.7$
the total cost of the ipad = 699 + 209.7 = 908.7$

Write the expression (y 7)^2 -100 as the product of two linear binomials

Answers

To answer this problem, you have to have a good foundation in factoring polynomial expressions. It has to be taken into account the knowledge in division and fractions.

The expression
(y+7)^2 - 100

can be factored as
[ (y+7) + 10 ] [ (y+7) - 10 ]

Further simplifying the expressions
[ y + 7 + 10 ] [ y + 7 - 10 ]
( y + 17 ) ( y - 3)

So the product of two linear binomials is
(y+17)(y-3)

HELPPPPP PLZ AND THANK U

Answers

5/4 x 4/3 x 3/5
= 1cm

The answer is 1cm

Hope this helps!

Answer:

0.6

Step-by-step explanation:

multiply all of the numbers

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