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3 years ago

Write 7/14 • (-7/12) in lowest terms

Mathematics

1 answer:

Marizza181 [45]3 years ago

3 0

The final answer should be -49/168.

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Consider generating length-7 strings of lowercase letters. How many strings are there that either begin with 2 consonants or end

Semmy [17]

Answer:

5259544316

Step-by-step explanation:

Given that:

Length of string = 7

Either begins with 2 consonants or ends with 2 vowels :

Either or :

A U B = A + B - (AnB)

Number of vowels in alphabet = 5

Number of consonants = 21

2 consonants at beginning :

First 2 consonants, then the rest could be any:

21 * 21 * 26 * 26 * 26 * 26 * 26 = 5239686816

3 vowels at the end :

First 4 letters could be any alphabet ; last 3 should be vowels.:

26 * 26 * 26 * 26 * 5 * 5 * 5 = 57122000

2 consonants at beginning and 3 vowels at the end :

21 * 21 * 26 *26 *5* 5 * 5 = 37264500

Hence,

2 consonants at beginning + 3 vowels at end 2 consonants at beginning - 2 consonants at beginning and 3 vowels At end

(5239686816 + 57122000) - 37264500

= 5259544316

Hence, number of 7 alphabet strings that begins with 2 consonants and end with 3 vowels = 5259544316

7 0

3 years ago

Why is 3^7 equal to 7 1/3

valentinak56 [21]

The required answer is $(7^{\frac{1}{3}})^{3} = (7^{\frac{1}{3}*3}) = 7^1=7$ .

<u>what is a power rule for exponents ?</u>

$(a^m)^n=a^{mn}$ is known as the power rule for exponents. Exponent times power is how you raise a number with an exponent to a power.

A number's exponent demonstrates how many times we are multiplying a given number by itself. 3^4, for instance, indicates that we are multiplying 3 by four. 3*3*3*3 is its expanded form. The power of a number is another name for an exponent. It could be an integer, a fraction, a negative integer, or a decimal.

$(7^{\frac{1}{3}})^{3} = (7^{\frac{1}{3}*3}) = 7^1=7$

Here, we have used the rule $(a^m)^n=a^{mn}$

To learn more about the power rule for exponents from the given link

brainly.com/question/819893

#SPJ1

8 0

1 year ago

A shelter kept track of the number of dogs adopted each day for three weeks. Use the table to find the statistical measures.

maria [59]

Answer:

Mean: 6.29

Median: 7

Mode: 8

Range: 6

Step-by-step explanation:

I just took the quiz

6 0

3 years ago

Last week, a skate shop originally sold a skateboard for $120. Today, there is a sale and the same skateboard costs $96. What is

Tamiku [17]

120 - 96 = 24

Now we have to find what percent of 120 24 is.

x × 120 = 24
x = 0.2

0.2 means 20%.

The discount is 20% off.

8 0

3 years ago

11. ¿Es mayor 1/4 que 0.50? Justifica tu pregunta

musickatia [10]

Eh yo creo que no, si estoy mal los siento

3 0

2 years ago