Which of the following fractions would become a repeating decimal?a.1/8
b.3/4
c.27/36
d.7/9
e.5/8

Answers

Answer 1

Answer: Because we work in a base 10 number system, any denominator that can be expressed as a multiple of 2s 5s and 10s will not be infinite and therefore not repeating. 1/8 is 1/(2*2*2) which is .125. 3/4 is 3/(2*2) which is .75. 27/36 is a tricky one because it's not in simplest form. You can divide the top and bottom by 9 to get 3/4 which we already know is .75. 5/8 is 5/(2*2*2) which is .625. That leaves 7/9. 9 cannot be expressed as a multiple of 2s and 5s ad tens so it must be that one. 7/9 is .777777 repeating.

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The mass of an electron is approximately 9 × 10-28 grams, while the mass of a neutron is approximately 2 × 10-24 grams. Which of the following is true?The mass of a neutron is approximately 2,000 times the mass of an electron.

The mass of a neutron is approximately 10,000 times the mass of an electron.

The mass of a neutron is approximately 20,000 times the mass of an electron.

The mass of a neutron is approximately 1,000 times the mass of an electron.

Answers

We simply divide the Mass of Neutron by Mass of electron

= 2 × 10⁻²⁴ / (9 × 10⁻²⁸)

= (2/9) × 10⁻²⁴ ⁻ ⁻²⁸

= (2/9) × 10⁻²⁴ ⁺ ²⁸

≈ 0.2222... × 10²⁸ ⁻ ²⁴

≈ 0.2222 × 10⁴

≈ 2222

This is approximately 2000 times.

So:

The mass of a neutron is approximately 2,000 times the mass of an electron

The first option. I hope this explains it.

Answer:

The mass of a neutron is approximately 2,000 times the mass of an electron

Step-by-step explanation:

= 2 × 10⁻²⁴ / (9 × 10⁻²⁸)

= (2/9) × 10⁻²⁴ ⁻ ⁻²⁸

= (2/9) × 10⁻²⁴ ⁺ ²⁸

≈ 0.2222... × 10²⁸ ⁻ ²⁴

≈ 0.2222 × 10⁴

≈ 2222

This is approximately 2000 times.

Find the reciprocal of the number. Multiply to check your answer. The number is 6. A. 1/6 B. 1 C. 12 D. 36

Answers

The answer is A. Simply because: 6= 6/1 and the reciprocal is 1/6.

multiply polynomials

(2n+2)(6n+1)

Answers

The multiplication of the expression ( 2n + 2 )( 6n + 1 ) is 12n² + 14n + 2.

What is the simplified form of the given expression?

Given the expression in the question:

( 2n + 2 )( 6n + 1 )

To multiply the expression ( 2n + 2 )( 6n + 1 ), we use the distributive property and the FOIL method.

( 2n + 2 )( 6n + 1 )

Using the Foil method:

2n( 6n + 1 ) + 2( 6n + 1 )

Using the distributive property:

2n × 6n + 2 × 1 + 2 × 6n + 2 × 1

Multiplying, we get:

12n² + 2n + 12n + 2

Collect and add the like terms:

12n² + 14n + 2

Therefore, the simplified form is 12n² + 14n + 2.

Learn more about the FOIL method here: brainly.com/question/27980306

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$(2n+2)(6n+1)\n12n^2+2n+12n+2\n12n^2+14n+2$

The Hawaiian language has 12 letters: five vowels and seven consonants. Each of the 12 Hawaiian letters are written on a slip of paper and placed in the bag. A letter is randomly chosen from the bag and then replaced. Then, a second letter is randomly chosen from the bag. What is the probability that two vowels are chosen?

Answers

12 total letters...5 vowels and 7 consonants.

probability of 1st letter being a vowel is 5/12
after replacing ...
probability of 2nd letter being a vowel is 5/12

probability of both occurring is (5/12 * 5/12) = 25/144 <===

To solve the problem, the concept of replacement must be considered.

A letter is randomly chosen from the bag and then replaced. Then, a second letter is randomly chosen from the bag.

The probability of the two vowels chosen is 25/144.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

Given

The Hawaiian language has 12 letters.

Five vowels and seven consonants.

To find

The probability of two vowels is chosen.

1. Probability of first letter being vowel.

Total event = 12

Favorable event = 5

Then

$\rm P_1 = (5)/(12)$