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julia-pushkina [17]
3 years ago
12

Express the given logarithm in terms of common logarithms. Then approximate its value to four decimal places.

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
4 0

Answer:

3.4594

Step-by-step explanation:

To change the base of a logarithm

• log_{b} x = \frac{log_{c}x }{log_{c}b }

where c represents the new base

Changing the base from 2 to 10

log_{2} 11 = \frac{log_{10}11 }{log_{10}2 } ≈ 3.4594

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package has a better price bar 10-pack of 2.1 ounce bars cost 15.3712- pack of 1.4 ounce bars cost 15.35
cestrela7 [59]
Hmm... well, the 10-pack of 2.1 ounce bars cost $15.37: 

So that means the price per bar is: 15.37/10 = $1.537
The price per ounce would be: 15.37/(10×2.1) = $0.73

For the 12-pack of 1.4 ounce bars that cost $15.35: 

The price per bar is: 15.35/12 = $1.28
The price per ounce is: 15.35/(12×1.4) = $0.91

In other words, the 12-pack has the better price per bar. 

Although, the 10-pack has the better price per ounce. 
6 0
3 years ago
Debbie has $460 in a savings account that earns 8% annually. If the interest is not compounded, how much interest will she earn
Viktor [21]
Compound interest means that the interest earned each year is added to the principal meaning that future interest is earned from the original amount + past interest.

In this case, it is NOT compounded meaning that we just have to find how much interested is earned in a year and multiply it by 5 years.

8% of $460 is 460*0.08 = 36.8

36.8*5 = 184

The answer is C) $184.00



6 0
4 years ago
Read 2 more answers
• Find the area of the shape shown below.<br>​
posledela

Answer:

my answer is 32 I add all the numbers but I did not divide it by 3

8 0
3 years ago
Read 2 more answers
What is the volume of this triangular pyramid?<br> 9 cm<br> 7 cm<br> 8 cm
Finger [1]

Answer:

  84 cm³

Step-by-step explanation:

The volume of a pyramid is given by the formula ...

  V = 1/3Bh

where B is the area of the base.

__

The base is shown as a right triangle with legs 8 cm and 7 cm. Its area is given by the triangle formula ...

  A = 1/2bh

  A = 1/2(8 cm)(7 cm) = 28 cm²

Then the volume of the triangular pyramid is ...

  V = 1/3(28 cm²)(9 cm) = 84 cm³

5 0
2 years ago
Read 2 more answers
Please help will mark brainlist
djverab [1.8K]

Answer:

x= -4

Step-by-step explanation:

First you have to do the parenthesis in the fraction so, it would be

4x+16/5=-4-x

I would then multiply both sides by 5 so,

4x+16=-20-5x

Add 5x to each side

9x+16=-20

Add 20 to both sides

9x+36=0

Subtract 36 to both sides

9x=-36

Divide by 9 to both sides

x= -4

6 0
3 years ago
Read 2 more answers
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