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3 years ago

How does the value of log Subscript 2 Baseline 100 compare with the value of Log Subscript 6 Baseline 20?

Mathematics

2 answers:

max2010maxim [7]3 years ago

4 0

Answer:

Step-by-step explanation:

SCORPION-xisa [38]3 years ago

3 0

Answer:

The value of $\log_2 100$ is about 4 times the value of $\log_6 20$

Explanation:

1. Change of base rule

$\log_ab=\dfrac{\log_{10}b}{\log_{10}a}=\dfrac{\log b}{\log a}$

2. Apply change of base rule to each of the given logarithm

$\log_2 100=\dfrac{\log 100}{\log 2}\approx 6.64$

$\log_6 20=\dfrac{\log 20}{\log 6}\approx 1.67$

3.Compare

$\dfrac{6.64}{1.67}\approx 3.97\approx 4$

4. Conclusion

The value $\log_2 100$ is about 4 times the value of $\log_6 20$

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the accountant charged $35 for the first hour of work and $23 for each hour he did after that he earned a totL or $127 how many

harkovskaia [24]

He worked 5 hours in total: 35$ for the first hour, + 23 + 23 + 23 + 23 = 127$ for five hours of work.

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2 years ago

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An elementary school is offering 3 language classes: one in Spanish, one in French,and one in German. The classes are open to an

Alona [7]

Answer:

A. 0.5

B. 0.32

C. 0.75

Step-by-step explanation:

There are

28 students in the Spanish class,
26 in the French class,
16 in the German class,
12 students that are in both Spanish and French,
4 that are in both Spanish and German,
6 that are in both French and German,
2 students taking all 3 classes.

So,

2 students taking all 3 classes,
6 - 2 = 4 students are in French and German, bu are not in Spanish,
4 - 2 = 2 students are in Spanish and German, but are not in French,
12 - 2 = 10 students are in Spanish and French but are not in German,
16 - 2 - 4 - 2 = 8 students are only in German,
26 - 2 - 4 - 10 = 10 students are only in French,
28 - 2 - 2 - 10 = 14 students are only in Spanish.

In total, there are

2 + 4 + 2 + 10 + 8 + 10 +14 = 50 students.

The classes are open to any of the 100 students in the school, so

100 - 50 = 50 students are not in any of the languages classes.

A. If a student is chosen randomly, the probability that he or she is not in any of the language classes is

$\dfrac{50}{100} =0.5$

B. If a student is chosen randomly, the probability that he or she is taking exactly one language class is

$\dfrac{8+10+14}{100}=0.32$

C. If 2 students are chosen randomly, the probability that both are not taking any language classes is

$0.5\cdot 0.5=0.25$

So, the probability that at least 1 is taking a language class is

$1-0.25=0.75$

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3 years ago

Through (-3,-5) and (0,-2)

GarryVolchara [31]

Answer:

Step-by-step explanation:

I think your doing slope, so...

-2 - - 5 3

------------------ = --------------- = 1

0 - - 3 3

(simplifyed)

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3 years ago

Instructions: Find the measure of the indicated angle to the nearest degree

Artemon [7]

Answer:

? = 57

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos ? = adj/ hyp

cos ? = 14/26

Taking the inverse cos of each side

cos ^-1 ( cos ?) = cos ^-1 ( 14/26)

? = 57.42102961

To the nearest degree

? = 57

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2 years ago

mr richey bought 20 organizer books and 20 staplers for students. each stapler costs 3$. mr richey spent in total of 200$ for th

pantera1 [17]

Answer: $7

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Amount left will be $200-60=$140

Cost of one organiser will be $140/20

That will be $7

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2 years ago

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