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2 years ago

7

Arrange the steps in correct order to show that the sum, over the set of people at a party, of the number of people a person has

shaken hands with, is even. Assume that no one shakes his or her own hand.

1 answer:

anyanavicka [17]2 years ago

4 0

Answer:

86

Step-by-step explanation:

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Is 5 a solution to the equation 2x^2 + 10 = 60 yes or no

cricket20 [7]

2(5)^2+10
2(25)+10
50+10
60
Yes

8 0

3 years ago

Read 2 more answers

Use the result (a+b)²=a²+2ab+b² to find the value of 49²+98+1

Leto [7]

Answer:

2500

Step-by-step explanation:

a² + 2ab + b²

49² + 98 + 1

Comparing terms

a²= 49²

a= 49

2ab = 98

2× 49 × b = 98

98b = 98

b= 98/98

b = 1

or

b²= 1

b=√1

b= 1

a=49 and b= 1

Hence (a+b)²= (49+1)²

50²= 2500

5 0

1 year ago

Find the solution(s) to the system of equations represented in the graph.

jolli1 [7]

Answer:

(-3,0) and (0,3)

Step-by-step explanation:

The solution to the system of equation is where the two graphs intersect

The intersect at two points

(-3,0) and (0,3)

3 0

2 years ago

Leo's bank balances at the end of months 1, 2, and 3 are $1500, $1530, and $1560.60,

grandymaker [24]

Leo's balance after 9 months will be: $1757.49

Step-by-step explanation:

It is given that the balances follow a geometric sequence

First of all, we have to find the common ratio

Here

$a_1 = 1500\\a_2 = 1530\\a_3 = 1560.60$

Common ratio is:

$r = \frac{a_2}{a_1} = \frac{1530}{1500} = 1.02\\r = \frac{a_3}{a_2} = \frac{1560.60}{1530} = 1.02$

So r = 1.02

The general form for geometric sequence is:

$a_n = a_1r^{n-1}$

Putting the first term and r

$a_n = 1500 . (1.02)^{n-1}$

To find the 9th month's balance

Putting n=9

$a_9 = 1500 . (1.02)^{9-1}\\= 1500.(1.02)^8\\=1757.4890$

Rounding off to nearest hundredth

$1757.49

Hence,

Leo's balance after 9 months will be: $1757.49

Keywords: Geometric sequence, balance

Learn more about geometric sequence at:

#LearnwithBrainly

5 0

2 years ago

Can someone rewrite the expression x^2 * x^-12 in the form of x^n. Pleasee

Ganezh [65]

Answer:

x^ -10 or 1/x^10

Step-by-step explanation:

5 0

3 years ago