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eimsori [14]
3 years ago
11

What is the solution to log(x/2)+log(20/x^2)

Mathematics
1 answer:
NISA [10]3 years ago
5 0
Im assuming you want to simplify

log(x/2) + log(20/x^2)

= log(x/2) + log 20 - log (x-2)   [ becuase log a/b = log a - log b]

=  log 20

=  1.301  to nearest thousandth
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A hat is originally priced at $28 is on sale for $15% off. What is the total cost of the hat if the tax is 6.75%?
vampirchik [111]
You do 28, which is the original cost, then you take that 15% off to do that you multiply 28×.15 and you get 4.2 and subtract that from original cost and you get 23.8 then to get the cost after tax you do 23.8×.0675 and you get 1.6 then you add that to 23.8 and get 25.4 dollars
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4 years ago
Math question 10-(2x4)+12=
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3 years ago
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Find the number of positive integers less than 100,000 whose digits are among 1, 2, 3, and 4. Hint consider the
Verdich [7]

Answer:

<em>1364</em> is the number of possibilities for positive integers less than 1,00,000.

Step-by-step explanation:

<em>1. 5 digit numbers:</em>

We have 5 places here, and each place can have 4 options because repetition is allowed.

So, total number of possibilities for 5 digit numbers:

4 \times 4 \times 4 \times 4 \times 4\\ \Rightarrow 1024

<em>2. 4 digit numbers:</em>

We have 4 places here, and each place can have 4 options because repetition is allowed.

So, total number of possibilities for 4 digit numbers:

4 \times 4 \times 4 \times 4 \\ \Rightarrow 256

<em>3. 3 digit numbers:</em>

We have 3 places here, and each place can have 4 options because repetition is allowed.

So, total number of possibilities for 3 digit numbers:

4 \times 4 \times 4 \\ \Rightarrow 64

<em>4. 2 digit numbers:</em>

We have <em>2</em> places here, and each place can have 4 options because repetition is allowed.

So, total number of possibilities for 2 digit numbers:

4 \times 4 \\ \Rightarrow 16

<em>5. 1 digit numbers:</em>

We have 1 place here, and each place can have 4 options because repetition is allowed.

So, total number of possibilities for 1 digit numbers:

4

We can add all the above possibilities to find the total.

So,  number of positive integers less than 100,000 whose digits are among 1, 2, 3, and 4 = 1024 + 256 + 64 + 16 + 4 = <em>1364</em>

3 0
3 years ago
Chanelle deposits $7,500 into the bank. She does not withdraw or deposit money for 6 years. She earns 6% interest during that ti
IrinaVladis [17]

Answer:

10,200 Dollars


Step-by-step explanation:


First, converting R percent to r a decimal

r = R/100 = 6%/100 = 0.06 per year.

Solving our equation:

A = 7500(1 + (0.06 × 6)) = 10200  

A = $10,200.00


4 0
3 years ago
Read 2 more answers
A decibel is a logarithmic unit that can be used to measure the intensity of a sound. The function y = 10logx gives the intensit
Anna007 [38]

Answer:

The sound intensity of a whisper is 333.3 times the reference intensity

Step-by-step explanation:

Given : The function y = 10logx gives the intensity of a sound in decibels, where x is the ratio of the intensity of the sound to a reference intensity.

A whisper has a sound intensity of 30 decibels.

To find : Use your graph to help you complete the following statement. The sound intensity of a whisper is times the reference intensity.

Solution :

Graph is attached which shows their intersection at (1000,30).

We can also verify by substituting value.

We have given that a whisper has a sound intensity of 30 decibels.

Therefore, y=30 , Let log base 10

y = 10logx

30 = 10logx                              

\frac{30}{10} =logx

3=logx

Logarithmic property log_{x}b=a \Rightarrow b=x^a

x=10^3

x=1000

The ratio of the intensity of the sound to a reference intensity is 1000 decibels

The sound intensity of a whisper is times the reference intensity is

\frac{1000}{3}=333.33

The sound intensity of a whisper is 333.3 times the reference intensity.

7 0
3 years ago
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