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DedPeter [7]
4 years ago
6

What is the ones digit in the number 3^20997

Mathematics
1 answer:
Stels [109]4 years ago
3 0

Answer:

7

Step-by-step explanation:

3^0 = 1

3^1 = 3

3^2 = 9

3^3 = 27

3^4 = 81

3^5 = 243

3^6 = 729

3^7 = 2187

3^8 = 6581

===========

You can see that the pattern is beginning to repeat itself.

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

So all you need do is take 2099 and divide by 3. You must pay attention to the remainder.

2099 / 4 = 524.75

The answer means that you go through the cycle 524 times getting 1,3,9,7,1 as the units digit.

In this case the remainder is 0.75 which is the same as 3/4. The remainder then is 3

If there is no remainder, the ending is a one.

if there is a remainder of 1 the answer is 3

If there is a 2 remainder, the number ends in 9

If there is a 3 remainder, the number ends in 7

And that's your answer.

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-216 divided by (-6)
Alex777 [14]

Answer:

36

Step-by-step explanation:

7 0
3 years ago
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You are in charge of drinks for a community barbecue. You need to supply at least 120 cups of beverage to provide enough for the
olga nikolaevna [1]

Answer:

You have 112 cups of beverage

Step-by-step explanation:

* <em>Lets explain how to solve the problem</em>

- You need to supply at least 120 cups of beverage to provide enough

 for the projected number of people that will attend

- <em><u>Assume that a cup can fill by 8 fl. oz. (American standard)</u></em>

- <em>You have received the following donations</em>

- Enough mix to make 4 gallons of lemonade

∴ You have 4 gallons of lemonade

∵ 1 gallon = 128 oz.

∴ 8 gallons = 4 × 128 = 512 oz.

∴ You have 512 oz. of lemonade

∵ You can fill one cup by 8 oz.

∴ The number of cups of lemonade = 512 ÷ 8 = 64 cups

- 6 bottles of fruit juice that each contain 64 fl. oz

∵ 6 × 64 = 384

∴ You have 384 oz. of fruit juice

∵ You can fill one cup by 8 oz.

∴ The number of cups of fruit juice = 384 ÷ 8 = 48 cups

- <em>Now add the number of lemonade cups to the number of fruit</em>

<em>  juice cups</em>

∵ There are 64 of lemonade cups

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∴ The total number of cups = 64 + 48 = 112 cups

* You have 112 cups of beverage

6 0
3 years ago
What is the solution of 8 4/5-2/5​
Contact [7]

Answer:

You mean 8 whole and 4/5 - 2/5?

It's 8 whole and 2/5 basically.

4 0
3 years ago
Find X<br> PLS HELP I WILL MARK BRANILIEST
elena-14-01-66 [18.8K]
It is B and you put it next to the B
3 0
3 years ago
1. The missing value that makes the polynomial x^2-6x+? A perfect square quadratic is...___
Lera25 [3.4K]

Answer:

1. The missing value is 9

2. The missing value is 81

Step-by-step explanation:

1. To find the missing value of a perfect square you divide the center term (-6 as is -6x) by two to get 3 then square the three to get 9

To check this write it as the simplified form (x-3)^2 and multiply it out again using foil.   x times x is x^2,  -3 times x is -3x ( this happens twice adding up to the -6x), and -3 times -3 is 9 making it x^2 -6x +9

2. Follow the steps for the previous problem to get the same answer for this one. Divide 18 (middle term) by 2 making 9. Then square the 9 making 81.

6 0
4 years ago
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