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PIT_PIT [208]
3 years ago
12

How is the quotient 80,000 divided by 2,000 different from the quotient 80,000 divided by 200 or 80,000 divided by 20?

Mathematics
1 answer:
Mashcka [7]3 years ago
3 0
Notice that the divisors 2,000, 200 and 20 are similar except for the number of zeros.
You can remove a zero from each dividend equal to the number of zeros in the divisor.   
So 80,000 ÷ 2,000 is equivalent to 80 ÷ 2 = 40  ( I removed 3 zeros from each)
80,000 ÷ 200 is equivalent to 800 ÷ 2 = 400   (notice that I could only remove 2 zeros)
Finally 80,000 ÷ 20 only allows us to remove on zero ---    8,000 ÷ 2 = 4,000.
The smaller the divisor the greater the quotient (when dividing the same number - in this case  80,000)

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Answer:

The single logarithm is ㏒2[x³/(3/x+4)] ⇒ 1st answer

Step-by-step explanation:

* Lets revise some rules of the logarithmic functions

- log(a^n) = n log(a)

- log(a) + log(b) = log(ab)

- log(a) - log(b) = log(a/b)

* Lets solve the problem

∵ 3㏒2(x) - {㏒2(3) - ㏒2(x + 4)} ⇒ we want to make it single logarithm

# 3㏒2(x) = ㏒2(x³)

# ㏒2(3) - ㏒2(x + 4) = ㏒2[3/(x + 4)]

∴ 3㏒2(x) - {㏒2(3) - ㏒2(x + 4)} = ㏒2(x³) - ㏒2[3/(x + 4)]

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∴ 3㏒2(x) - {㏒2(3) - ㏒2(x + 4)} = ㏒2[x³/(3/x+4)]

* The single logarithm is ㏒2[x³/(3/x+4)]

6 0
3 years ago
HELP ME WITH THIS GEOMETRY QUESTION!!! 18 POINTS!
ikadub [295]

Answer:

72

72

96

120

Step-by-step explanation:

The arcs are in the ratio:

3 : 3 : 4 : 5

Add all numbers in the ratio:

3 + 3 + 4 + 5 = 15

In the ratio, the sum of all numbers is 15.

In the real circle, the sum of the measures of all the arcs is 360.

360/15 = 24

Multiply all numbers in the ratio by 24.

72 : 72 : 96 : 120

Answer:

72

72

96

120

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