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nekit [7.7K]
3 years ago
12

Write the next 3 numbers in this pattern. Then describe the rule for this pattern in an nth expression.

Mathematics
1 answer:
hram777 [196]3 years ago
8 0

Answer:

An=10^n + 1 is the expression for the nth term.

Next three terms:

100001

1000001

10000001

Step-by-step explanation:

The number ot 0's imcrease between the two 1's starting at no zeros, 1 zero, two zeros, and so on...

So the next terms are 100001, 1000001, 10000001 and that's without finding the formula.

Now let's find the formula:

A1=11=10+1

A2=101=100+1

A3=1001=1000+1

Notice we have increasing powers of 10 and then just adding 1.

A1=10^1 +1

A2=10^2 +1

A3=10^3 +1

....

An=10^n +1

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What is the equation of the line?
ki77a [65]

Answer:

y=1/2+2

Step-by-step explanation:

go up 1 and right 2 thats how you get 1/2 also its 2 point above the orgin so its +2

remember y=x+b  1/2 is the x(slope) and 2 is b

7 0
2 years ago
Read 2 more answers
jeni works from 8:00-3:15 three days in a row, only taking a half-hour unpaid lunch break each day. if she is paid $15 per hour,
enyata [817]

Jeni gets paid $ 303.75 for 3 days

<em><u>Solution:</u></em>

Given that,

Jeni works from 8:00-3:15 three days in a row

<em><u>Find the number of hours between 8 : 00 to 3 : 15</u></em>

8 : 00 to 3 : 15 = 7 hours 15 minutes

She is taking half-hour unpaid lunch break each day

7 hours 15 minutes - half an hour = 6 hours 45 minutes

So, she works for 6 hours 45 minutes for each three days

6\ hours\ 45\ minutes = 6 + \frac{45}{60} = 6 + 0.75 = 6.75\ hours

She is paid $15 per hour

<em><u>Therefore, total earnings for 3 days is given as:</u></em>

Total\ Earnings = 3 \times 15 \times 6.75\\\\Total\ Earnings = 303.75

Thus she gets paid $ 303.75 for 3 days

7 0
3 years ago
An elevator can hold 16 people and 50 people are
Inessa05 [86]

Answer: It would be 4 trips with two people in the last trip up

Step-by-step explanation:

16+16+16=48

48+2=5

7 0
3 years ago
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PLS! ANSWER MY QUESTION..Noah will simulate the situation by putting marbles in a bag. Drawing one marble from the bag will repr
Alisiya [41]

Answer:

The number of marbles of each color that should be present in the bag is;

1 red marble and 2 green marbles

Here, we note that the probability of a battery going dead = 1/3 and the

Therefore if the red marbles represent that a battery dies before 15 hours then the probability of picking the red marble should be 1/3. That is if there is only one red marble in the bag, the probability of picking the red will be 1/3 when there are other 2 green batteries in the bag

That is there should be 1 red marble and 2 green marble in the bag.

Step-by-step explanation:

8 0
4 years ago
Solve 5x^2 - 7x+2 -0 by completing the square. What are the solutions?
trapecia [35]

5<em>x</em>² - 7<em>x</em> + 2 = 0

5(<em>x</em>² - 7/5 <em>x</em>) + 2 = 0

5(<em>x</em>² - 7/5 <em>x</em> + 49/100 - 49/100) + 2 = 0

5(<em>x</em>² - 2 • 7/10 <em>x</em> + (7/10)²) - 49/20 + 2 = 0

5(<em>x</em> - 7/10)² - 9/20 = 0

5(<em>x</em> - 7/10)² = 9/20

(<em>x</em> - 7/10)² = 9/100

<em>x</em> - 7/10 = ± √(9/100)

<em>x</em> - 7/10 = ± 3/10

<em>x</em> = 7/10 ± 3/10

<em>x</em> = 10/10 = 1   or   <em>x</em> = 4/10 = 2/5

6 0
3 years ago
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