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Vladimir [108]
2 years ago
12

Explain which properties you would use to fully expand (the problem in the screenshot)

Mathematics
1 answer:
Sholpan [36]2 years ago
5 0

Answer:

Firs property used : Quotient Property

           log_b(\frac{X}{Y} ) = log_bX -log_bY

   log_b(\frac{\sqrt[3]{x} }{36y^2} ) = log_b(\sqrt[3]{x}) - log_b(36y^2)

Second property used : Product Property

          log_b(XY) = log_bX + log_b Y

    log_b(\sqrt[3]{x}) - log_b(36y^2) = (log_b(\sqrt[3]{x}) - [log_b36 + log_by^2)

Third property used : Power Property

                 log_b \sqrt[n]{X} = log_b(X)^{\frac{1}{n}} = \frac{1}{n} log_b X

 (log_b(\sqrt[3]{x}) - [log_b6^2 + log_by^2) = \frac{1}{3} log_bx - 2log_b 6 - 2log_by

Fully expanded form:

                   log_b(\frac{\sqrt[3]{x} }{36y^2} ) = \frac{1}{3} log_b x-2log_b6-2log_by

           

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Answer:

0.525 %

Step-by-step explanation:

there is a total of 80 students and 42 received a A or B so 42/80 = 0.525

Hope this helps!

8 0
3 years ago
Define four symbolic constants that represent integer 25 in decimal, binary, octal, and hexadecimal formats
stealth61 [152]

Answer:

1) Decimal    25= (25)_{10}

2) Binary    25= (11001)_2

3) Octal   25= (31)_8

4) Hexadecimal   25= (19)_{16}

Step-by-step explanation:

Given : Integer is 25                      

To find : Represent integer in decimal, binary, octal, and hexadecimal formats.

Solution :

1) Integer into decimal - To convert into decimal the base goes to 10.

So, 25= (25)_{10}

2) Integer into binary - To convert into binary the base goes to 2, it form in 0 and 1 and we divide integer by 2.

Divide 25 by 2 and note down the remainders.

2 | 25

2 | 12    R=1    ←

2 | 6     R=0   ↑

2 | 3      R=0  ↑

2 | 1  →   R=1   ↑

So,   25= (11001)_2

3) Integer into octal - To convert into octal the base goes to 8 and we divide integer by 8.

Divide 25 by 8 and note down the remainders.

8 | 25

  | 3 →   R=1    

So,   25= (31)_8

4) Integer into hexadecimal - To convert into hexadecimal the base goes to 16 and we divide integer by 16.

Divide 25 by 16 and note down the remainders.

16 | 25

   | 1 →   R=9    

So,   25= (19)_{16}

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3 years ago
The US postal service delivered 7.14 x 1010 pieces of mail in the month of December and 3.21 x 1010 in the month of January. Wha
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2 years ago
Is 1/4 greater or less than 1/6
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greater

Step-by-step explanation:

3 0
3 years ago
A shopping mall parking garage charges $2 for the first half hour and $1.20 for each additional half hour (even if it is under 3
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You can park in the garage for 5 hours 30 minutes

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

Given that, shopping mall parking garage charges $2 for the first half hour and $1.20 for each additional half hour (even if it is under 30 minutes)

Therefore,

Cost for first half an hour = $ 2

Cost for each additional half an hour = $ 1.20

Let "x" be the number of each additional half hour

Therefore, total cost to pay is given as:

Total cost = Cost for first half an hour + (Cost for each additional half an hour)(number of each additional half hour)

Total cost = 2 + 1.20x

<em><u>Given you have $ 8 in cash</u></em>

8 = 2 + 1.20x\\\\1.20x = 8 - 2\\\\1.20x = 6\\\\x = \frac{6}{1.20}\\\\x = 5

Total hours parked = first half an hour + 5

Thus you can park in the garage for 5 hours 30 minutes

4 0
3 years ago
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