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ivann1987 [24]
3 years ago
14

Write 5,000,039 in scientific notation.

Mathematics
2 answers:
Nataly [62]3 years ago
8 0
Scientific notation of 5,000,039 is = 5.000039 x 10^6

When we have to write scientific notation then we have to put a point in the given number so that the number comes between 1 and 9. And after that put the power of the ten to how much point you have moved to get the resultant.

If you move a point in left side then power will be negative but if you move the point to the right side the power will be positive.
IRINA_888 [86]3 years ago
7 0
The answer is C. 5.000039x10^6.

In order to change something into scientific notation you have to move the decimal place enough times to get the first number to be between 1 and 9. After that, you must count how many space you moved it and that is your exponent. Moving the decimal space to the left gives you a positive exponent. Moving it to the right gives you a negative exponent. 
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asambeis [7]

Answer:

a) From A ∩ A' = ∅, we have;

A ∩ (A' ∪ B) = A ∩ B

b) From A ∩ (A' ∩ B') = (A ∩ A') ∩ B' and A ∩ A' = ∅, we have;

A ∩ (A ∪ B)' = ∅

Step-by-step explanation:

a) By distributive law of sets, we have;

A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)

From the complementary law of sets, we have;

A ∩ A' = ∅

Therefore, for A ∩ (A' ∪ B) = A ∩ B, we have

A ∩ (A' ∪ B) = (A ∩ A') ∪ (A ∩ B) (distributive law of sets)

A ∩ A' = ∅ (complementary law of sets)

Therefore;

(A ∩ A') ∪ (A ∩ B) = ∅ ∪ (A ∩ B)  = (A ∩ B) (Addition to zero identity property)

∴  A ∩ (A' ∪ B) = A ∩ B

b) By De Morgan's law

(A ∪ B)' = A' ∩ B'

Therefore, A ∩ (A ∪ B)' = A ∩ (A' ∩ B')

By associative law of sets, we have;

A ∩ (A' ∩ B') = (A ∩ A') ∩ B'

A ∩ A' = ∅ (complementary law of sets)

Therefore, (A ∩ A') ∩ B' = ∅  ∩ B' = ∅

Which gives;

A ∩ (A ∪ B)' = ∅.

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