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Dennis_Churaev [7]
3 years ago
9

Use the roster method to write each of the given sets. (Enter EMPTY for the empty set.)

Mathematics
1 answer:
Kitty [74]3 years ago
6 0

Answer:

a) Empty set

b)  \{x : x \in N \text{ and } x < 13\}                                        

Step-by-step explanation:

Roster form is a comma separated list form of set.

a) The set of natural numbers x that satisfy x + 4 = 1.  

x + 4 = 1\\x = -3 \notin N

Thus, x is an empty set.

b) set-builder notation for the set  {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}.

We use x to represent this set. Now x belongs to natural number and is less than equal to 12.

Thus, it can be written as:

\{x : x \in N \text{ and } x < 13\}

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If a = 7 - 4√3, find the value of a + 1/a​
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Answer:

Step-by-step explanation:

To calculate a+1/a, we first need to calculate for a.

a = 7 - 4 * \sqrt[2]{3}

square root of 3 = 1.73

a = 7 - 4 * 1.73

a = 7 - 6.9

a = 0.1

0.1 + 1 / 0.1 = 0.1 + 10 = 10.1

Now, in case 4 wasn't being multiplied with the square root of 3, and instead, it was four root of 3, I am gonna do the calculations again:

a = 7 - \sqrt[4]{3}

a = 7 - 1.31

a = 5.69

5.69 + 1 / 5.69 = 5.69 + 0.17 = 5.86

Hope I Helped!

5 0
2 years ago
Zachary sold 1/2 of a 40-acre lot. He then sold 3/5 of the remaining lot. What fraction of the land did he sell in all? (Write t
Mazyrski [523]
4/5 acres of the land were sold.
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4 0
3 years ago
Sam ran 3 1/4 miles on Tuesday and then ran 2 5/6 miles on Wednesday. How many total miles did Sam run ?
julsineya [31]

Answer:

6  1/12 miles total

Step-by-step explanation:

3 1/4 = 13/4

2 5/6 = 17/6        to ADD fractions, you must have a common denominator

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13/4 = 39/12

17/6 = 34 /12

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2 years ago
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The term that has a degree of 8 is -2x³y⁵

<h3>How to find the degree of a polynomial?</h3>

The polynomial above is a monomial. A monomial is a polynomial with a single term.

Therefore, the degree of a monomial is the sum of the exponents of all its variables.

In other words, a monomial is a number, a variable or a product of a number and a variable where all exponents are whole numbers.

Hence, the term with degree of 8 is -2x³y⁵

Degree = 0 + 3 + 5 = 8

learn more on degree here: brainly.com/question/14939467

#SPJ1

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2 years ago
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